From a89db09d814a36ded5510789ae15a96a5277a7c0 Mon Sep 17 00:00:00 2001 From: HarshaRani <ranishashi@gmail.com> Date: Wed, 1 Aug 2018 16:54:46 +0530 Subject: [PATCH] Related to moving out Rdesignuer from cookbook as a seperate section add files and update Rdes.rst and related images which is updated by Upi --- docs/images/ex2.1_vclamp_a.png | Bin 0 -> 21152 bytes docs/images/ex2.1_vclamp_b.png | Bin 0 -> 16583 bytes docs/images/ex3.1_squid_vclamp.png | Bin 0 -> 22194 bytes docs/images/ex3.2_axon_propagating_AP.png | Bin 0 -> 39173 bytes docs/images/ex3.3_AP_collision.png | Bin 0 -> 37645 bytes docs/images/ex4.0_scaledSoma.png | Bin 0 -> 13550 bytes docs/images/ex4.1_ballAndStick.png | Bin 0 -> 11233 bytes docs/images/ex4.2_sine_stim.png | Bin 0 -> 24525 bytes docs/images/ex4.2_spiking.png | Bin 0 -> 19808 bytes docs/images/ex5.0_random_syn_input.png | Bin 0 -> 38566 bytes docs/images/ex5.1_periodic_syn_input.png | Bin 0 -> 39286 bytes docs/images/ex7.0_spatial_chem_osc.png | Bin 0 -> 16291 bytes docs/images/ex7.1_diffusive_gradient.png | Bin 0 -> 34685 bytes docs/images/ex8.0_multiscale_Ca.png | Bin 0 -> 30929 bytes docs/images/ex8.0_multiscale_KA_conc.png | Bin 0 -> 26852 bytes docs/images/ex8.0_multiscale_cell_spiking.png | Bin 0 -> 31908 bytes docs/images/ex8.0_multiscale_currInj.png | Bin 0 -> 20494 bytes docs/images/ex8.2_Ca_dend.png | Bin 0 -> 58524 bytes docs/images/ex8.2_Ca_spine.png | Bin 0 -> 18592 bytes docs/images/ex8.2_Vm.png | Bin 0 -> 24750 bytes docs/images/ex8.2_active_CaMKII.png | Bin 0 -> 32628 bytes docs/images/ex8.3_CaMKII_spine.png | Bin 0 -> 29005 bytes docs/images/ex8.3_Vm.png | Bin 0 -> 23367 bytes docs/images/ex8.3_chan_p.png | Bin 0 -> 30910 bytes docs/images/ex8.3_gluR.png | Bin 0 -> 34160 bytes docs/images/ex9.0_passive_cell_morpho.png | Bin 0 -> 34227 bytes docs/source/conf.py | 18 +- docs/source/user/py/cookbook/Rd.rst | 1186 ---------- docs/source/user/py/cookbook/multiscale.rst | 2 - docs/source/user/py/rdesigneur/index_rd.rst | 13 + .../{cookbook => rdesigneur}/multi_rdes.rst | 2 +- docs/source/user/py/rdesigneur/rdes.rst | 1962 ++++++++++++++++ .../py/rdesigneur/rdesigneur/index_rd.rst | 13 + .../py/rdesigneur/rdesigneur/multi_rdes.rst | 52 + .../user/py/rdesigneur/rdesigneur/rdes.rst | 1964 +++++++++++++++++ 35 files changed, 4014 insertions(+), 1198 deletions(-) create mode 100644 docs/images/ex2.1_vclamp_a.png create mode 100644 docs/images/ex2.1_vclamp_b.png create mode 100644 docs/images/ex3.1_squid_vclamp.png create mode 100644 docs/images/ex3.2_axon_propagating_AP.png create mode 100644 docs/images/ex3.3_AP_collision.png create mode 100644 docs/images/ex4.0_scaledSoma.png create mode 100644 docs/images/ex4.1_ballAndStick.png create mode 100644 docs/images/ex4.2_sine_stim.png create mode 100644 docs/images/ex4.2_spiking.png create mode 100644 docs/images/ex5.0_random_syn_input.png create mode 100644 docs/images/ex5.1_periodic_syn_input.png create mode 100644 docs/images/ex7.0_spatial_chem_osc.png create mode 100644 docs/images/ex7.1_diffusive_gradient.png create mode 100644 docs/images/ex8.0_multiscale_Ca.png create mode 100644 docs/images/ex8.0_multiscale_KA_conc.png create mode 100644 docs/images/ex8.0_multiscale_cell_spiking.png create mode 100644 docs/images/ex8.0_multiscale_currInj.png create mode 100644 docs/images/ex8.2_Ca_dend.png create mode 100644 docs/images/ex8.2_Ca_spine.png create mode 100644 docs/images/ex8.2_Vm.png create mode 100644 docs/images/ex8.2_active_CaMKII.png create mode 100644 docs/images/ex8.3_CaMKII_spine.png create mode 100644 docs/images/ex8.3_Vm.png create mode 100644 docs/images/ex8.3_chan_p.png create mode 100644 docs/images/ex8.3_gluR.png create mode 100644 docs/images/ex9.0_passive_cell_morpho.png delete mode 100644 docs/source/user/py/cookbook/Rd.rst create mode 100644 docs/source/user/py/rdesigneur/index_rd.rst rename docs/source/user/py/{cookbook => rdesigneur}/multi_rdes.rst (98%) create mode 100644 docs/source/user/py/rdesigneur/rdes.rst create 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z3-gh$i5eycYq>Mo9T^4rA8ZZV9c@@s_&K-z4!S8YDc9KnCl!qx8tET=S(UWkudsJ5 zKS#ofAZ=)9!A`m8gdut;4xcr3Kjkbsqe8>lj4DG5?QRa=Lkd@Aw_6|uDhNMIK>5tn q8P?YC=8Sw9y|qAll0{|{_C(rlT|d_7rj!T)FBu6%@oG_nfd2*26qb|# literal 0 HcmV?d00001 diff --git a/docs/source/conf.py b/docs/source/conf.py index 4bd3770f..43a10e7d 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -27,13 +27,13 @@ conf_dir_ = os.path.dirname( __file__ ) # If extensions (or modules to document with autodoc) are in another directory, # add these directories to sys.path here. If the directory is relative to the # documentation root, use os.path.abspath to make it absolute, like shown here. -sys.path.insert(0, os.path.abspath('../python')) -sys.path.append(os.path.abspath('../../moose-examples/snippets')) -sys.path.append(os.path.abspath('../../moose-examples/tutorials/ChemicalOscillators')) -sys.path.append(os.path.abspath('../../moose-examples/tutorials/ChemicalBistables')) -sys.path.append(os.path.abspath('../../moose-examples/tutorials/ExcInhNet')) -sys.path.append(os.path.abspath('../../moose-examples/neuroml/lobster_pyloric')) -sys.path.append(os.path.abspath('../../moose-examples/tutorials/ExcInhNetCaPlasticity')) +sys.path.insert(0, os.path.abspath('/home/harsha/MOOSE/FullMoose/moose-core/python')) +sys.path.append(os.path.abspath('/home/harsha/MOOSE/moose-examples-july/snippets')) +sys.path.append(os.path.abspath('/home/harsha/MOOSE/moose-examples-july/tutorials/ChemicalOscillators')) +sys.path.append(os.path.abspath('/home/harsha/MOOSE/moose-examples-july/tutorials/ChemicalBistables')) +sys.path.append(os.path.abspath('/home/harsha/MOOSE/moose-examples-july/tutorials/ExcInhNet')) +sys.path.append(os.path.abspath('/home/harsha/MOOSE/moose-examples-july/neuroml/lobster_pyloric')) +sys.path.append(os.path.abspath('/home/harsha/MOOSE/moose-examples-july/tutorials/ExcInhNetCaPlasticity')) sys.path.append(os.path.join(conf_dir_, 'Extensions') ) # -- General configuration ----------------------------------------------------- @@ -301,6 +301,6 @@ exclude_patterns = ['/docs/source/user/py/references/*.rst'] import subprocess, os read_the_docs_build = os.environ.get('READTHEDOCS', None) == 'True' -if not read_the_docs_build: - subprocess.call('cd doxygen; echo HELLO......................; doxygen Doxyfile', shell=True) +#if not read_the_docs_build: +# subprocess.call('cd doxygen; echo HELLO......................; doxygen Doxyfile', shell=True) diff --git a/docs/source/user/py/cookbook/Rd.rst b/docs/source/user/py/cookbook/Rd.rst deleted file mode 100644 index 625b8bc8..00000000 --- a/docs/source/user/py/cookbook/Rd.rst +++ /dev/null @@ -1,1186 +0,0 @@ -**Rdesigneur: Building multiscale models** -========================================== - -.. Upi Bhalla - -.. Aug 26 2016. - -.. -------------- - -Contents --------- - -.. contents:: - :depth: 3 - -Introduction ------------- - -**Rdesigneur** (Reaction Diffusion and Electrical SIGnaling in NEURons) -is an interface to the multiscale modeling capabilities in MOOSE. It is -designed to build models incorporating biochemical signaling pathways in -dendrites and spines, coupled to electrical events in neurons. -Rdesigneur assembles models from predefined parts: it delegates the -details to specialized model definition formats. Rdesigneur combines one -or more of the following cell parts to build models: - -- Neuronal morphology -- Dendritic spines -- Ion channels -- Reaction systems - -Rdesigneur's main role is to specify how these are put together, -including assigning parameters to do so. Rdesigneur also helps with -setting up the simulation input and output. - -Quick Start ------------ - -Here we provide a few use cases, building up from a minimal model to a -reasonably complete multiscale model spanning chemical and electrical -signaling. - -Bare Rdesigneur: single passive compartment -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -If we don't provide any arguments at all to the Rdesigneur, it makes a -model with a single passive electrical compartment in the MOOSE path -``/model/elec/soma``. Here is how to do this: - -:: - - import moose - import rdesigneur as rd - rdes = rd.rdesigneur() - rdes.buildModel() - -To confirm that it has made a compartment with some default values we -can add a line: - -:: - - moose.showfields( rdes.soma ) - -This should produce the output: - -:: - - [ /model[0]/elec[0]/soma[0] ] - diameter = 0.0005 - fieldIndex = 0 - Ra = 7639437.26841 - y0 = 0.0 - Rm = 424413.177334 - index = 0 - numData = 1 - inject = 0.0 - initVm = -0.065 - Em = -0.0544 - y = 0.0 - numField = 1 - path = /model[0]/elec[0]/soma[0] - dt = 0.0 - tick = -2 - z0 = 0.0 - name = soma - Cm = 7.85398163398e-09 - x0 = 0.0 - Vm = -0.06 - className = ZombieCompartment - idValue = 465 - length = 0.0005 - Im = 1.3194689277e-08 - x = 0.0005 - z = 0.0 - -Simulate and display current pulse to soma -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -A more useful script would run and display the model. Rdesigneur can -help with the stimulus and the plotting. This simulation has the same -passive compartment, and current is injected as the simulation runs. -This script displays the membrane potential of the soma as it charges -and discharges. - -:: - - import moose - import rdesigneur as rd - rdes = rd.rdesigneur( - stimList = [['soma', '1', '.', 'inject', '(t>0.1 && t<0.2) * 2e-8']], - plotList = [['soma', '1', '.', 'Vm', 'Soma membrane potential']], - ) - rdes.buildModel() - moose.reinit() - moose.start( 0.3 ) - rdes.display() - -The *stimList* defines a stimulus. Each entry has five arguments: - -:: - - `[region_in_cell, region_expression, moose_object, parameter, expression_string]` - -- ``region_in_cell`` specifies the objects to stimulate. Here it is - just the soma. -- ``region_expression`` specifies a geometry based calculation to - decide whether to apply the stimulus. The value must be >0 for the - stimulus to be present. Here it is just 1. ``moose_object`` specifies - the simulation object to operate upon during the stimulus. Here the - ``.`` means that it is the soma itself. In other models it might be a - channel on the soma, or a synapse, and so on. -- ``parameter`` specifies the simulation parameter on the moose object - that the stimulus will modify. Here it is the injection current to - the soma compartment. -- ``expression_string`` calculates the value of the parameter, - typically as a function of time. Here we use the function - ``(t>0.1 && t<0.2) * 2e-8`` which evaluates as 2e-8 between the times - of 0.1 and 0.2 seconds. - -To summarise this, the *stimList* here means *inject a current of 20nA -to the soma between the times of 0.1 and 0.2 s*. - -The *plotList* defines what to plot. It has a similar set of arguments: - -:: - - `[region_in_cell, region_expression, moose_object, parameter, title_of_plot]` - -These mean the same thing as for the stimList except for the title of -the plot. - -The *rdes.display()* function causes the plots to be displayed. - -.. figure:: ../../../../images/rdes2_passive_squid.png - :alt: Plot for current input to passive compartment - - Plot for current input to passive compartment - -When we run this we see an initial depolarization as the soma settles -from its initial -65 mV to a resting Em = -54.4 mV. These are the -original HH values, see the example above. At t = 0.1 seconds there is -another depolarization due to the current injection, and at t = 0.2 -seconds this goes back to the resting potential. - -HH Squid model in a single compartment -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -Here we put the Hodgkin-Huxley squid model channels into a passive -compartment. The HH channels are predefined as prototype channels for -Rdesigneur, - -:: - - import moose - import pylab - import rdesigneur as rd - rdes = rd.rdesigneur( - chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], - chanDistrib = [ - ['Na', 'soma', 'Gbar', '1200' ], - ['K', 'soma', 'Gbar', '360' ]], - stimList = [['soma', '1', '.', 'inject', '(t>0.1 && t<0.2) * 1e-8' ]], - plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']] - ) - - rdes.buildModel() - moose.reinit() - moose.start( 0.3 ) - rdes.display() - -Here we introduce two new model specification lines: - -- **chanProto**: This specifies which ion channels will be used in the - model. Each entry here has two fields: the source of the channel - definition, and (optionally) the name of the channel. In this example - we specify two channels, an Na and a K channel using the original - Hodgkin-Huxley parameters. As the source of the channel definition we - use the name of the Python function that builds the channel. The - *make\_HH\_Na()* and *make\_HH\_K()* functions are predefined but we - can also specify our own functions for making prototypes. We could - also have specified the channel prototype using the name of a channel - definition file in ChannelML (a subset of NeuroML) format. -- **chanDistrib**: This specifies *where* the channels should be placed - over the geometry of the cell. Each entry in the chanDistrib list - specifies the distribution of parameters for one channel using four - entries: - - ``[object_name, region_in_cell, parameter, expression_string]`` - - In this case the job is almost trivial, since we just have a single - compartment named *soma*. So the line - - ``['Na', 'soma', 'Gbar', '1200' ]`` - - means *Put the Na channel in the soma, and set its maximal - conductance density (Gbar) to 1200 Siemens/m^2*. - -As before we apply a somatic current pulse. Since we now have HH -channels in the model, this generates action potentials. - -.. figure:: ../../../../images/rdes3_squid.png - :alt: Plot for HH squid simulation - - Plot for HH squid simulation - -HH Squid model in an axon -~~~~~~~~~~~~~~~~~~~~~~~~~ - -Here we put the Hodgkin-Huxley squid model into a long compartment that -is subdivided into many segments, so that we can watch action potentials -propagate. Most of this example is boilerplate code to build a spiral -axon. There is a short *rdesigneur* segment that takes the spiral axon -prototype and populates it with channels, and sets up the display. Later -examples will show you how to read morphology files to specify the -neuronal geometry. - -:: - - import numpy as np - import moose - import pylab - import rdesigneur as rd - - numAxonSegments = 200 - comptLen = 10e-6 - comptDia = 1e-6 - RM = 1.0 - RA = 10.0 - CM = 0.01 - - def makeAxonProto(): - axon = moose.Neuron( '/library/axon' ) - prev = rd.buildCompt( axon, 'soma', RM = RM, RA = RA, CM = CM, dia = 10e-6, x=0, dx=comptLen) - theta = 0 - x = comptLen - y = 0.0 - - for i in range( numAxonSegments ): - dx = comptLen * np.cos( theta ) - dy = comptLen * np.sin( theta ) - r = np.sqrt( x * x + y * y ) - theta += comptLen / r - compt = rd.buildCompt( axon, 'axon' + str(i), RM = RM, RA = RA, CM = CM, x = x, y = y, dx = dx, dy = dy, dia = comptDia ) - moose.connect( prev, 'axial', compt, 'raxial' ) - prev = compt - x += dx - y += dy - - return axon - - moose.Neutral( '/library' ) - makeAxonProto() - - rdes = rd.rdesigneur( - chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], - cellProto = [['elec','axon']], - chanDistrib = [ - ['Na', '#', 'Gbar', '1200' ], - ['K', '#', 'Gbar', '360' ]], - stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.2) * 2e-11' ]], - plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']], - moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] - ) - - rdes.buildModel() - moose.reinit() - - rdes.displayMoogli( 0.00005, 0.05, 0.0 ) - -.. figure:: ../../../../images/rdes3.1_axon.png - :alt: Axon with propagating action potential - - Axon with propagating action potential - -Note how we explicitly create the prototype axon on '/library', and then -specify it using the *cellProto* line in the rdesigneur. The moogList -specifies the 3-D display. See below for how to set up and use these -displays. - -HH Squid model in a myelinated axon -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -This is a curious cross-species chimera model, where we embed the HH -equations into a myelinated example model. As for the regular axon -above, most of the example is boilerplate setup code. Note how we -restrict the HH channels to the nodes of Ranvier using a conditional -test for the diameter of the axon segment. - -:: - - import numpy as np - import moose - import pylab - import rdesigneur as rd - - numAxonSegments = 405 - nodeSpacing = 100 - comptLen = 10e-6 - comptDia = 2e-6 # 2x usual - RM = 100.0 # 10x usual - RA = 5.0 - CM = 0.001 # 0.1x usual - - nodeDia = 1e-6 - nodeRM = 1.0 - nodeCM = 0.01 - - def makeAxonProto(): - axon = moose.Neuron( '/library/axon' ) - x = 0.0 - y = 0.0 - prev = rd.buildCompt( axon, 'soma', RM = RM, RA = RA, CM = CM, dia = 10e-6, x=0, dx=comptLen) - theta = 0 - x = comptLen - - for i in range( numAxonSegments ): - r = comptLen - dx = comptLen * np.cos( theta ) - dy = comptLen * np.sin( theta ) - r = np.sqrt( x * x + y * y ) - theta += comptLen / r - if i % nodeSpacing == 0: - compt = rd.buildCompt( axon, 'axon' + str(i), RM = nodeRM, RA = RA, CM = nodeCM, x = x, y = y, dx = dx, dy = dy, dia = nodeDia ) - else: - compt = rd.buildCompt( axon, 'axon' + str(i), RM = RM, RA = RA, CM = CM, x = x, y = y, dx = dx, dy = dy, dia = comptDia ) - moose.connect( prev, 'axial', compt, 'raxial' ) - prev = compt - x += dx - y += dy - - return axon - - moose.Neutral( '/library' ) - makeAxonProto() - - rdes = rd.rdesigneur( - chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], - cellProto = [['elec','axon']], - chanDistrib = [ - ['Na', '#', 'Gbar', '12000 * (dia < 1.5e-6)' ], - ['K', '#', 'Gbar', '3600 * (dia < 1.5e-6)' ]], - stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.2) * 1e-10' ]], - plotList = [['soma,axon100,axon200,axon300,axon400', '1', '.', 'Vm', 'Membrane potential']], - moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] - ) - - rdes.buildModel() - - for i in moose.wildcardFind( "/model/elec/#/Na" ): - print i.parent.name, i.Gbar - - moose.reinit() - - rdes.displayMoogli( 0.00005, 0.05, 0.0 ) - -When you run the example, keep an eye out for a few things: - -- **saltatory conduction:** This is the way the action potential jumps - from one node of Ranvier to the next. Between the nodes it is just - passive propagation. -- **Failure to propagate:** Observe that the second and fourth action - potentials fails to trigger propagation along the axon. Here we have - specially tuned the model properties so that this happens. With a - larger RA of 10.0, the model will be more reliable. -- **Speed:** Compare the propagation speed with the previous, - unmyelinated axon. Note that the current model is larger! - -.. figure:: ../../../../images/rdes3.2_myelinated_axon.png - :alt: Myelinated axon with propagating action potential - - Myelinated axon with propagating action potential - -Reaction system in a single compartment -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -Here we use the compartment as a place in which to embed a chemical -model. The chemical oscillator model is predefined in the rdesigneur -prototypes. - -:: - - import moose - import pylab - import rdesigneur as rd - rdes = rd.rdesigneur( - turnOffElec = True, - diffusionLength = 1e-3, # Default diffusion length is 2 microns - chemProto = [['makeChemOscillator()', 'osc']], - chemDistrib = [['osc', 'soma', 'install', '1' ]], - plotList = [['soma', '1', 'dend/a', 'conc', 'a Conc'], - ['soma', '1', 'dend/b', 'conc', 'b Conc']] - ) - rdes.buildModel() - b = moose.element( '/model/chem/dend/b' ) - b.concInit *= 5 - moose.reinit() - moose.start( 200 ) - - rdes.display() - -In this special case we set the turnOffElec flag to True, so that -Rdesigneur only sets up chemical and not electrical calculations. This -makes the calculations much faster, since we disable electrical -calculations and delink chemical calculations from them. - -We also have a line which sets the ``diffusionLength`` to 1 mm, so that -it is bigger than the 0.5 mm squid axon segment in the default -compartment. If you don't do this the system will subdivide the -compartment into the default 2 micron voxels for the purposes of putting -in a reaction-diffusion system. We discuss this case below. - -Note how the *plotList* is done here. To remind you, each entry has five -arguments - -:: - - [region_in_cell, region_expression, moose_object, parameter, title_of_plot] - -The change from the earlier usage is that the ``moose_object`` now -refers to a chemical entity, in this example the molecule *dend/a*. The -simulator builds a default chemical compartment named *dend* to hold the -reactions defined in the *chemProto*. What we do in this plot is to -select molecule *a* sitting in *dend*, and plot its concentration. Then -we do this again for molecule *b*. - -After the model is built, we add a couple of lines to change the initial -concentration of the molecular pool *b*. Note its full path within -MOOSE: */model/chem/dend/b*. It is scaled up 5x to give rise to slowly -decaying oscillations. - -.. figure:: ../../../../images/rdes4_osc.png - :alt: Plot for single-compartment reaction simulation - - Plot for single-compartment reaction simulation - -Reaction-diffusion system -~~~~~~~~~~~~~~~~~~~~~~~~~ - -In order to see what a reaction-diffusion system looks like, delete the -``diffusionLength`` expression in the previous example and add a couple -of lines to set up 3-D graphics for the reaction-diffusion product: - -:: - - import moose - import pylab - import rdesigneur as rd - rdes = rd.rdesigneur( - turnOffElec = True, - chemProto = [['makeChemOscillator()', 'osc']], - chemDistrib = [['osc', 'soma', 'install', '1' ]], - plotList = [['soma', '1', 'dend/a', 'conc', 'Concentration of a'], - ['soma', '1', 'dend/b', 'conc', 'Concentration of b']], - moogList = [['soma', '1', 'dend/a', 'conc', 'a Conc', 0, 360 ]] - ) - - rdes.buildModel() - bv = moose.vec( '/model/chem/dend/b' ) - bv[0].concInit *= 2 - bv[-1].concInit *= 2 - moose.reinit() - - rdes.displayMoogli( 1, 400, 0.001 ) - -This is the line we deleted. - -:: - - diffusionLength = 1e-3, - -With this change we permit *rdesigneur* to use the default diffusion -length of 2 microns. The 500-micron axon segment is now subdivided into -250 voxels, each of which has a reaction system and diffusing molecules. -To make it more picturesque, we have added a line after the plotList, to -display the outcome in 3-D: - -:: - - moogList = [['soma', '1', 'dend/a', 'conc', 'a Conc', 0, 360 ]] - -This line says: take the model compartments defined by ``soma`` as the -region to display, do so throughout the the geometry (the ``1`` -signifies this), and over this range find the chemical entity defined by -``dend/a``. For each ``a`` molecule, find the ``conc`` and dsiplay it. -There are two optional arguments, ``0`` and ``360``, which specify the -low and high value of the displayed variable. - -In order to initially break the symmetry of the system, we change the -initial concentration of molecule b at each end of the cylinder: - -:: - - bv[0].concInit *= 2 - bv[-1].concInit *= 2 - -If we didn't do this the entire system would go through a few cycles of -decaying oscillation and then reach a boring, spatially uniform, steady -state. Try putting an initial symmetry break elsewhere to see what -happens. - -To display the concenctration changes in the 3-D soma as the simulation -runs, we use the line - -:: - - `rdes.displayMoogli( 1, 400, 0.001 )` - -The arguments mean: *displayMoogli( frametime, runtime, rotation )* -Here, - -:: - - frametime = time by which simulation advances between display updates - runtime = Total simulated time - rotation = angle by which display rotates in each frame, in radians. - -When we run this, we first get a 3-D display with the oscillating -reaction-diffusion system making its way inward from the two ends. After -the simulation ends the plots for all compartments for the whole run -come up. - -.. figure:: ../../../../images/rdes5_reacdiff.png - :alt: Display for oscillatory reaction-diffusion simulation - - Display for oscillatory reaction-diffusion simulation - -Primer on using the 3-D MOOGLI display -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -Here is a short primer on the 3-D display controls. - -- *Roll, pitch, and yaw*: Use the letters *r*, *p*, and *y*. To rotate - backwards, use capitals. -- *Zoom out and in*: Use the *,* and *.* keys, or their upper-case - equivalents, *<* and *>*. Easier to remember if you think in terms of - the upper-case. -- *Left/right/up/down*: Arrow keys. -- *Quit*: control-q or control-w. -- You can also use the mouse or trackpad to control most of the above. -- By default rdesigneur gives Moogli a small rotation each frame. It is - the *rotation* argument in the line: - - ``displayMoogli( frametime, runtime, rotation )`` - -These controls operate over and above this rotation, but the rotation -continues. If you set the rotation to zero you can, with a suitable -flick of the mouse, get the image to rotate in any direction you choose -as long as the window is updating. - -Make a toy multiscale model with electrical and chemical signaling. -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -Now we put together chemical and electrical models. In this toy model we -have an HH-squid type single compartment electrical model, cohabiting -with a chemical oscillator. The chemical oscillator regulates K+ channel -amounts, and the average membrane potential regulates the amounts of a -reactant in the chemical oscillator. This is a recipe for some strange -firing patterns. - -:: - - import moose - import pylab - import rdesigneur as rd - rdes = rd.rdesigneur( - # We want just one compartment so we set diffusion length to be - # bigger than the 0.5 mm HH axon compartment default. - diffusionLength = 1e-3, - chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], - chanDistrib = [ - ['Na', 'soma', 'Gbar', '1200' ], - ['K', 'soma', 'Gbar', '360' ]], - chemProto = [['makeChemOscillator()', 'osc']], - chemDistrib = [['osc', 'soma', 'install', '1' ]], - # These adaptor parameters give interesting-looking but - # not particularly physiological behaviour. - adaptorList = [ - [ 'dend/a', 'conc', 'Na', 'modulation', 1, -5.0 ], - [ 'dend/b', 'conc', 'K', 'modulation', 1, -0.2], - [ 'dend/b', 'conc', '.', 'inject', -1.0e-7, 4e-7 ], - [ '.', 'Vm', 'dend/s', 'conc', 2.5, 20.0 ] - ], - plotList = [['soma', '1', 'dend/a', 'conc', 'a Conc'], - ['soma', '1', 'dend/b', 'conc', 'b Conc'], - ['soma', '1', 'dend/s', 'conc', 's Conc'], - ['soma', '1', 'Na', 'Gk', 'Na Gk'], - ['soma', '1', '.', 'Vm', 'Membrane potential'] - ] - ) - - rdes.buildModel() - moose.reinit() - moose.start( 250 ) # Takes a few seconds to run this. - - rdes.display() - -We've already modeled the HH squid model and the oscillator -individually, and you should recognize the parts of those models above. -The new section that makes this work the *adaptorList* which specifies -how the electrical and chemical parts talk to each other. This entirely -fictional set of interactions goes like this: - -:: - - [ 'dend/a', 'conc', 'Na', 'modulation', 1, -5.0 ] - -- *dend/a*: The originating variable comes from the 'a' pool on the - 'dend' compartment. - - *conc*: This is the originating variable name on the 'a' pool. - - *Na*: This is the target variable - - *modulation*: scale the Gbar of Na up and down. Use 'modulation' - rather than direct assignment of Gbar since Gbar is different for - each differently-sized compartment. - - *1*: This is the initial offset - - *-5.0*: This is the scaling from the input to the parameter updated - in the simulation. - -A similar set of adaptor entries couple the molecule *dend/b* to the K -channel, *dend/b* again to the current injection into the soma, and the -membrane potential to the concentration of *dend/s*. - -.. figure:: ../../../../images/rdes6_multiscale.png - :alt: Plot for toy multiscale model - - Plot for toy multiscale model - -Morphology: Load .swc morphology file and view it -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -Here we build a passive model using a morphology file in the .swc file -format (as used by NeuroMorpho.org). The morphology file is predefined -for Rdesigneur and resides in the directory ``./cells``. We apply a -somatic current pulse, and view the somatic membrane potential in a -plot, as before. To make things interesting we display the morphology in -3-D upon which we represent the membrane potential as colors. - -:: - - import moose - import rdesigneur as rd - rdes = rd.rdesigneur( - cellProto = [['./cells/h10.CNG.swc', 'elec']], - stimList = [['soma', '1', '.', 'inject', 't * 25e-9' ]], - plotList = [['#', '1', '.', 'Vm', 'Membrane potential'], - ['#', '1', 'Ca_conc', 'Ca', 'Ca conc (uM)']], - moogList = [['#', '1', '.', 'Vm', 'Soma potential']] - ) - - rdes.buildModel() - - moose.reinit() - rdes.displayMoogli( 0.0002, 0.1 ) - -Here the new concept is the cellProto line, which loads in the specified -cell model: - -:: - - `[ filename, cellname ]` - -The system recognizes the filename extension and builds a model from the -swc file. It uses the cellname **elec** in this example. - -We use a similar line as in the reaction-diffusion example, to build up -a Moogli display of the cell model: - -:: - - `moogList = [['#', '1', '.', 'Vm', 'Soma potential']]` - -Here we have: - -:: - - *#*: the path to use for selecting the compartments to display. - This wildcard means use all compartments. - *1*: The expression to use for the compartments. Again, `1` means use - all of them. - *.*: Which object in the compartment to display. Here we are using the - compartment itself, so it is just a dot. - *Vm*: Field to display - *Soma potential*: Title for display. - -.. figure:: ../../../../images/rdes7_passive.png - :alt: 3-D display for passive neuron - - 3-D display for passive neuron - -Build an active neuron model by putting channels into a morphology file -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -We load in a morphology file and distribute voltage-gated ion channels -over the neuron. Here the voltage-gated channels are obtained from a -number of channelML files, located in the ``./channels`` subdirectory. -Since we have a spatially extended neuron, we need to specify the -spatial distribution of channel densities too. - -:: - - import moose - import rdesigneur as rd - rdes = rd.rdesigneur( - chanProto = [ - ['./chans/hd.xml'], - ['./chans/kap.xml'], - ['./chans/kad.xml'], - ['./chans/kdr.xml'], - ['./chans/na3.xml'], - ['./chans/nax.xml'], - ['./chans/CaConc.xml'], - ['./chans/Ca.xml'] - ], - cellProto = [['./cells/h10.CNG.swc', 'elec']], - chanDistrib = [ \ - ["hd", "#dend#,#apical#", "Gbar", "50e-2*(1+(p*3e4))" ], - ["kdr", "#", "Gbar", "p < 50e-6 ? 500 : 100" ], - ["na3", "#soma#,#dend#,#apical#", "Gbar", "850" ], - ["nax", "#soma#,#axon#", "Gbar", "1250" ], - ["kap", "#axon#,#soma#", "Gbar", "300" ], - ["kap", "#dend#,#apical#", "Gbar", - "300*(H(100-p*1e6)) * (1+(p*1e4))" ], - ["Ca_conc", "#", "tau", "0.0133" ], - ["kad", "#soma#,#dend#,#apical#", "Gbar", "50" ], - ["Ca", "#", "Gbar", "50" ] - ], - stimList = [['soma', '1', '.', 'inject', '(t>0.02) * 1e-9' ]], - plotList = [['#', '1', '.', 'Vm', 'Membrane potential'], - ['#', '1', 'Ca_conc', 'Ca', 'Ca conc (uM)']], - moogList = [['#', '1', 'Ca_conc', 'Ca', 'Calcium conc (uM)', 0, 120], - ['#', '1', '.', 'Vm', 'Soma potential']] - ) - - rdes.buildModel() - - moose.reinit() - rdes.displayMoogli( 0.0002, 0.052 ) - -Here we make more extensive use of two concepts which we've already seen -from the single compartment squid model: - -1. *chanProto*: This defines numerous channels, each of which is of the - form: - - ``[ filename ]`` - - or - - ``[ filename, channelname ]`` - -If the *channelname* is not specified the system uses the last part of -the channel name, before the filetype suffix. - -2. *chanDistrib*: This defines the spatial distribution of each channel - type. Each line is of a form that should be familiar now: - - ``[channelname, region_in_cell, parameter, expression_string]`` - -- The *channelname* is the name of the prototype from *chanproto*. This - is usually an ion channel, but in the example above you can also see - a calcium concentration pool defined. -- The *region\_in\_cell* is typically defined using wildcards, so that - it generalizes to any cell morphology. For example, the plain - wildcard ``#`` means to consider all cell compartments. The wildcard - ``#dend#`` means to consider all compartments with the string - ``dend`` somewhere in the name. Wildcards can be comma-separated, so - ``#soma#,#dend#`` means consider all compartments with either soma or - dend in their name. The naming in MOOSE is defined by the model file. - Importantly, in **.swc** files MOOSE generates names that respect the - classification of compartments into axon, soma, dendrite, and apical - dendrite compartments respectively. SWC files generate compartment - names such as: - - :: - - soma_<number> - dend_<number> - apical_<number> - axon_<number> - -where the number is automatically assigned by the reader. In order to -select all dendritic compartments, for example, one would use *"#dend#"* -where the *"#"* acts as a wildcard to accept any string. - The -*parameter* is usually Gbar, the channel conductance density in *S/m^2*. -If *Gbar* is zero or less, then the system economizes by not -incorporating this channel mechanism in this part of the cell. -Similarly, for calcium pools, if the *tau* is below zero then the -calcium pool object is simply not inserted into this part of the cell. - -The *expression\_string* defines the value of the parameter, such as -Gbar. This is typically a function of position in the cell. The -expression evaluator knows about several parameters of cell geometry. -All units are in metres: - -- *x*, *y* and *z* coordinates. -- *g*, the geometrical distance from the soma -- *p*, the path length from the soma, measured along the dendrites. -- *dia*, the diameter of the dendrite. -- *L*, The electrotonic length from the soma (no units). - -Along with these geometrical arguments, we make liberal use of the -Heaviside function H(x) to set up the channel distributions. The -expression evaluator also knows about pretty much all common algebraic, -trignometric, and logarithmic functions, should you wish to use these. - -Also note the two Moogli displays. The first is the calcium -concentration. The second is the membrane potential in each compartment. -Easy! - -.. figure:: ../../../../images/rdes8_active.png - :alt: 3-D display for active neuron - - 3-D display for active neuron - -Build a spiny neuron from a morphology file and put active channels in it. -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -This model is one step elaborated from the previous one, in that we now -also have dendritic spines. MOOSE lets one decorate a bare neuronal -morphology file with dendritic spines, specifying various geometric -parameters of their location. As before, we use an swc file for the -morphology, and the same ion channels and distribution. - -:: - - import moose - import pylab - import rdesigneur as rd - rdes = rd.rdesigneur( - chanProto = [ - ['./chans/hd.xml'], - ['./chans/kap.xml'], - ['./chans/kad.xml'], - ['./chans/kdr.xml'], - ['./chans/na3.xml'], - ['./chans/nax.xml'], - ['./chans/CaConc.xml'], - ['./chans/Ca.xml'] - ], - cellProto = [['./cells/h10.CNG.swc', 'elec']], - spineProto = [['makeActiveSpine()', 'spine']], - chanDistrib = [ - ["hd", "#dend#,#apical#", "Gbar", "50e-2*(1+(p*3e4))" ], - ["kdr", "#", "Gbar", "p < 50e-6 ? 500 : 100" ], - ["na3", "#soma#,#dend#,#apical#", "Gbar", "850" ], - ["nax", "#soma#,#axon#", "Gbar", "1250" ], - ["kap", "#axon#,#soma#", "Gbar", "300" ], - ["kap", "#dend#,#apical#", "Gbar", - "300*(H(100-p*1e6)) * (1+(p*1e4))" ], - ["Ca_conc", "#", "tau", "0.0133" ], - ["kad", "#soma#,#dend#,#apical#", "Gbar", "50" ], - ["Ca", "#", "Gbar", "50" ] - ], - spineDistrib = [['spine', '#dend#,#apical#', '20e-6', '1e-6']], - stimList = [['soma', '1', '.', 'inject', '(t>0.02) * 1e-9' ]], - plotList = [['#', '1', '.', 'Vm', 'Membrane potential'], - ['#', '1', 'Ca_conc', 'Ca', 'Ca conc (uM)']], - moogList = [['#', '1', 'Ca_conc', 'Ca', 'Calcium conc (uM)', 0, 120], - ['#', '1', '.', 'Vm', 'Soma potential']] - ) - - rdes.buildModel() - - moose.reinit() - rdes.displayMoogli( 0.0002, 0.023 ) - -Spines are set up in a familiar way: we first define one (or more) -prototype spines, and then distribute these around the cell. Here is the -prototype string: - -:: - - [spine_proto, spinename] - -*spineProto*: This is typically a function. One can define one's own, -but there are several predefined ones in rdesigneur. All these define a -spine with the following parameters: - -- head diameter 0.5 microns -- head length 0.5 microns -- shaft length 1 micron -- shaft diameter of 0.2 microns -- RM = 1.0 ohm-metre square -- RA = 1.0 ohm-meter -- CM = 0.01 Farads per square metre. - -Here are the predefined spine prototypes: - -- *makePassiveSpine()*: This just makes a passive spine with the - default parameters -- *makeExcSpine()*: This makes a spine with NMDA and glu receptors, and - also a calcium pool. The NMDA channel feeds the Ca pool. -- *makeActiveSpine()*: This adds a Ca channel to the exc\_spine. and - also a calcium pool. - -The spine distributions are specified in a familiar way for the first -few arguments, and then there are multiple (optional) spine-specific -parameters: - -*[spinename, region\_in\_cell, spacing, spacing\_distrib, size, -size\_distrib, angle, angle\_distrib ]* - -Only the first two arguments are mandatory. - -- *spinename*: The prototype name -- *region\_in\_cell*: Usual wildcard specification of names of - compartments in which to put the spines. -- *spacing*: Math expression to define spacing between spines. In the - current implementation this evaluates to - ``1/probability_of_spine_per_unit_length``. Defaults to 10 microns. - Thus, there is a 10% probability of a spine insertion in every - micron. This evaluation method has the drawback that it is possible - to space spines rather too close to each other. If spacing is zero or - less, no spines are inserted. -- *spacing\_distrib*: Math expression for distribution of spacing. In - the current implementation, this specifies the interval at which the - system samples from the spacing probability above. Defaults to 1 - micron. -- *size*: Linear scale factor for size of spine. All dimensions are - scaled by this factor. The default spine head here is 0.5 microns in - diameter and length. If the scale factor were to be 2, the volume - would be 8 times as large. Defaults to 1.0. -- *size\_distrib*: Range for size of spine. A random number R is - computed in the range 0 to 1, and the final size used is - ``size + (R - 0.5) * size_distrib``. Defaults to 0.5 -- *angle*: This specifies the initial angle at which the spine sticks - out of the dendrite. If all angles were zero, they would all point - away from the soma. Defaults to 0 radians. -- *angle\_distrib*: Specifies a random number to add to the initial - angle. Defaults to 2 PI radians, so the spines come out in any - direction. - -One may well ask why we are not using a Python dictionary to handle all -these parameters. Short answer is: terseness. Longer answer is that the -rdesigneur format is itself meant to be an intermediate form for an -eventual high-level, possibly XML-based multiscale modeling format. - -.. figure:: ../../../../images/rdes9_spiny_active.png - :alt: 3-D display for spiny active neuron - - 3-D display for spiny active neuron - -Put a spine on a cylindrical compartment, give it synaptic input, and watch Ca diffuse. -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -Calcium enters spines during strong synaptic input, how far does it -spread along the dendrites? This model is simple conceptually but -illustrates several things: - -- Setting up random (Poisson) synaptic input to one or more spines -- Setting up a reaction-diffusion system (Ca) coupled to an electrical - system (Ca influx through channels). This uses a separate chemical - definition script. One can replace this with more elaborate chemical - schemes simply by changing the name of the script. -- User definitions of prototypes (the soma in this example). -- Assigning random number seeds. -- The difference between electrical and chemical length scales. For - numerical reasons, the discretization of reaction-diffusion systems - into voxels normally happens on a smaller length scale (microns) than - for electrical systems (tens to hundreds of microns). In this example - there is just one electrical compartment, but 50 chemical - subdivisions. - -Most of the script is setting up the input and the prototypes. -Rdesigneur is compact, as usual. First, the headers and parameter list: - -:: - - import moose - import numpy as np - import rdesigneur as rd - - params = { - 'diffusionLength':1.0e-6, # Diffusion characteristic length, used as voxel length too. - 'dendDiameter': 1e-6, # Diameter of section of dendrite in model - 'dendLength': 50e-6, # Length of section of dendrite in model - 'spineSpacing': 30e-6, # mean spacing between spines. - 'diffConstCa':20.0e-12, # Diffusion constant of Ca, m^2/sec - 'spineFreq': 1, # Frequencey of input to spines - 'gluWeight': 100, # Weight for glutamate receptor - 'nmdaWeight': 100, # weight for NMDA receptor - 'chemModel':'spineCa_diffn.g', # Chem model definition. - 'RA': 1.0, # Axial resistivity of compartment, ohms.metre - 'RM': 1.0, # membrane resistivity of compartment, ohms.metre^2 - 'CM': 0.01, # Specific capacitance of membrane, Farads/metre^2 - 'runtime': 3, # Simulation run time, sec. - } - -Then, we define the prototypes for the soma compartment and the CaConc -object that handles conversion of calcium current into calcium -concentration: - -:: - - def makePassiveSoma( name, length, diameter ): - elecid = moose.Neuron( '/library/' + name ) - dend = moose.Compartment( elecid.path + '/soma' ) - dend.diameter = diameter - dend.length = length - dend.Ra = params['RA'] * length * 4.0 / (diameter * diameter * np.pi) - dend.Rm = params['RM'] / (length * diameter * np.pi) - dend.Cm = params['CM'] * length * diameter * np.pi - dend.x = length - return elecid - - def makeCaConc( name ): - conc = moose.CaConc( '/library/' + name ) - conc.tau = 0.0133333 - conc.B = 17.402e12 # Conversion from Amps to milliMolar for soma - conc.Ca_base = 0.0 - -Then, we define the stimulus including the poisson spike generator: - -:: - - def attachStimulus(): - numSpine = len( moose.wildcardFind( '/model/elec/head#' ) ) - spikeInput = moose.RandSpike( '/model/elec/spineInput', numSpine ) - spikeVec = spikeInput.vec - spikeVec.rate = params['spineFreq'] - - j = 0 - for i in moose.wildcardFind( '/model/elec/head#' ): - sh = moose.element( i.path + '/glu/sh' ) - sh.numSynapses = 1 - sh.synapse[0].weight = params['gluWeight'] - moose.connect( spikeVec[j], 'spikeOut', sh.synapse[0], 'addSpike') - sh = moose.element( i.path + '/NMDA/sh' ) - sh.numSynapses = 1 - sh.synapse[0].weight = params['nmdaWeight'] - moose.connect( spikeVec[j], 'spikeOut', sh.synapse[0], 'addSpike') - j += 1 - -Having specified the framework for the model, here is the actual -rdesigneur setup: - -:: - - moose.seed( 123 ) # One seed for the layout - library = moose.Neutral( '/library' ) - makePassiveSoma( 'cell', params['dendLength'], params['dendDiameter'] ) - makeCaConc( 'Ca_conc' ) - - rdes = rd.rdesigneur( - chemPlotDt = 0.02, - diffusionLength = params['diffusionLength'], - spineProto = [['makeExcSpine()', 'spine']], - spineDistrib = [['spine', '#', str( params['spineSpacing'] ),'1e-7']], - chanDistrib = [["Ca_conc", "#", "tau", "0.0133", "thick","0.1e-6"]], - cellProto = [['cell', 'elec']], - chemProto = [['../chem/' + params['chemModel'], 'chem']], - chemDistrib = [['chem', '#soma#', 'install', '1' ]], - plotList = [ - ['soma', '1', '.', 'Vm', 'soma Vm'], - ['soma', '1', 'dend/DEND/Ca', 'conc', '[dend Ca]'], - ['#head#', '1', 'spine/Ca', 'conc', '[Spine Ca]'], - ['#head#', '1', 'psd/Ca', 'conc', '[PSD Ca]'], - ], - moogList = [['#', '1', 'dend/DEND/Ca', 'conc', 'dend Ca', 0, 0.5]], - adaptorList = [ - [ 'Ca_conc', 'Ca', 'psd/Ca_input', 'concInit', 2e-6, 0.1 ], - [ 'Ca_conc', 'Ca','dend/DEND/Ca_input','concInit',2e-6,0.001], - ] - ) - for ca in moose.wildcardFind( '/library/##/Ca' ): - ca.diffConst = params['diffConstCa'] - rdes.buildModel() - attachStimulus() - moose.reinit() - moose.seed( 3 ) # Another seed because the reinit does a reseed. - rdes.displayMoogli( 0.01, params['runtime'], 0.0 ) - -You will additionally need to copy over the chemical models for the -calcium. These reside in the moose-examples/genesis directory. The -simple model ``spineCa_diffn.g`` has calcium in spine PSD, spine head, -and dendrite pools, with reactions for controlling input from the -*Ca\_conc* object. - -With this done you can run the script and watch calcium spreading from -the location of the spine. There are three pulses of calcium, the first -being quite weak. - -.. figure:: ../../../../images/rdes10_CaSpread.png - :alt: Calcium influx from spine in middle of cylindrical compartment, spreading into the dendrite and then axially in both directions. - - Calcium influx from spine in middle of cylindrical compartment, spreading into the dendrite and then axially in both directions. - -Once the simulation completes you'll also see a number of plots, so that -you can figure out what the calcium influx was doing. Here, we have a -single spine so there is just one trace for it. We have 50 chemical -voxels along the dendrite, so there are 50 traces for the chemical -time-course. - -.. figure:: ../../../../images/rdes10_CaTimecourse.png - :alt: Time-course of Calcium buildup in spine and dendrite. - - Time-course of Calcium buildup in spine and dendrite. - -Note the explicit assignment of random seeds using -``moose.seed( 123 )``. By default, MOOSE generates a reasonably random -seed using system information. Here, however, we want to be sure that -the simulation always gives the same result. So we explicitly set the -seed to a known number. Note also that we set the seed at two places: -First, before setup, so that we ensure that the spines are going to come -in the same number and place each time. Second, after ``moose.reinit()`` -to make sure that the same pseudo-random sequence of synaptic input and -chemical stochastic calculations happens each run. - -Note also that this is run using stochastic methods for the chemical -calculations. This is the default. One can alter this using the -following line in rdesigneur: - -:: - - useGssa = False - -As an exercise for the user, we also have a plug-in replaceable model -for Ca influx, this one having a lot of calmodulin to act as a buffer. -Replace the original line in the params dictionary as follows: - -:: - - 'chemModel':'spineCa_diffn.g' - -with - -:: - - 'chemModel':'spineCa_CaM_diffn.g' - -The resultant model has reduced free Ca++ buildup. - -Some other interesting things to try are: - -- Increase the diffusion constant for calcium. You might expect that - this would lead to faster flow of Ca from the spine to the dendrite, - and hence a higher peak in the dendrite. Try it and see. -- Change the diameter of the dendrite. - -.. Build a spiny neuron from a morphology file and put a reaction-diffusion system in it. -.. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -.. Rdesigneur is specially designed to take reaction systems with a - dendrite, a spine head, and a spine PSD compartment, and embed these - systems into neuronal morphologies. This example shows how this is done. - - The dendritic molecules diffuse along the dendrite in the region - specified by the *chemDistrib* keyword. In this case they are placed on - all apical and basal dendrites, but only at distances over 500 microns - from the soma. The spine head and PSD reaction systems are inserted only - into spines within this same *chemDistrib* zone. Diffusion coupling - between dendrite, and each spine head and PSD is also set up. It takes a - predefined chemical model file for Rdesigneur, which resides in the - ``./chem`` subdirectory. As in an earlier example, we turn off the - electrical calculations here as they are not needed. Here we plot out - the number of receptors on every single spine as a function of time. - - (Documentation still to come here) - -.. Make a full multiscale model with complex spiny morphology and electrical and chemical signaling. -.. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -.. (Documentation still to come here) diff --git a/docs/source/user/py/cookbook/multiscale.rst b/docs/source/user/py/cookbook/multiscale.rst index d751d3e4..799ee804 100644 --- a/docs/source/user/py/cookbook/multiscale.rst +++ b/docs/source/user/py/cookbook/multiscale.rst @@ -6,8 +6,6 @@ MultiScale Modeling :maxdepth: 2 multi_sim_eg - Rd - multi_rdes diff --git a/docs/source/user/py/rdesigneur/index_rd.rst b/docs/source/user/py/rdesigneur/index_rd.rst new file mode 100644 index 00000000..a729cb8b --- /dev/null +++ b/docs/source/user/py/rdesigneur/index_rd.rst @@ -0,0 +1,13 @@ +.. MOOSE documentation master file, created by + sphinx-quickstart on Tue Jul 31 19:05:47 2018. + You can adapt this file completely to your liking, but it should at least + contain the root `toctree` directive. + +Rdesignuer +=========== + +.. toctree:: + :maxdepth: 2 + + rdes + multi_rdes diff --git a/docs/source/user/py/cookbook/multi_rdes.rst b/docs/source/user/py/rdesigneur/multi_rdes.rst similarity index 98% rename from docs/source/user/py/cookbook/multi_rdes.rst rename to docs/source/user/py/rdesigneur/multi_rdes.rst index 2015743a..d240f1b1 100644 --- a/docs/source/user/py/cookbook/multi_rdes.rst +++ b/docs/source/user/py/rdesigneur/multi_rdes.rst @@ -1,5 +1,5 @@ ************************ -More Rdesigneur Examples +Rdesigneur Examples ************************ .. hidden-code-block:: reStructuredText diff --git a/docs/source/user/py/rdesigneur/rdes.rst b/docs/source/user/py/rdesigneur/rdes.rst new file mode 100644 index 00000000..7d77f8fb --- /dev/null +++ b/docs/source/user/py/rdesigneur/rdes.rst @@ -0,0 +1,1962 @@ +**Rdesigneur: Building multiscale models** +========================================== + +.. Upi Bhalla + +.. Aug 26 2016. Updated July 2018 + +.. -------------- + +Contents +-------- + +.. contents:: + :depth: 3 + +Introduction +------------ + +**Rdesigneur** (Reaction Diffusion and Electrical SIGnaling in NEURons) +is an interface to the multiscale modeling capabilities in MOOSE. It is +designed to build models incorporating biochemical signaling pathways in +dendrites and spines, coupled to electrical events in neurons. +Rdesigneur assembles models from predefined parts: it delegates the +details to specialized model definition formats. Rdesigneur combines one +or more of the following cell parts to build models: + +- Neuronal morphology +- Dendritic spines +- Ion channels +- Reaction systems +- Adaptors that couple between these for multiscale models + +It also folds in simulation input and output + +- Time-series stimuli for molecular concentration change and reaction rates +- Current and voltage clamp +- Synaptic input. +- Time-series plots +- File dumps +- 3-D neuronal graphics + +Rdesigneur's main role is to specify how these are put together, +including assigning parameters for the model. Using Rdesigneur one can compactly +and quickly put together quite complex multiscale models. + +Quick Start +----------- + +Here we provide a few use cases, building up from a minimal model to a +reasonably complete multiscale model spanning chemical and electrical +signaling. The files for these examples are also available in +``moose-examples/tutorials/Rdesigneur``, and the file names are mentioned +as we go along. + +Bare Rdesigneur: single passive compartment +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex1_minimalModel.py* + +If we don't provide any arguments at all to the Rdesigneur, it makes a +model with a single passive electrical compartment in the MOOSE path +``/model/elec/soma``. Here is how to do this: + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur() + rdes.buildModel() + +To confirm that it has made a compartment with some default values we +can add a line: + +:: + + moose.showfields( rdes.soma ) + +This should produce the output: + +:: + + [ /model[0]/elec[0]/soma[0] ] + diameter = 0.0005 + fieldIndex = 0 + Ra = 7639437.26841 + y0 = 0.0 + Rm = 424413.177334 + index = 0 + numData = 1 + inject = 0.0 + initVm = -0.065 + Em = -0.0544 + y = 0.0 + numField = 1 + path = /model[0]/elec[0]/soma[0] + dt = 0.0 + tick = -2 + z0 = 0.0 + name = soma + Cm = 7.85398163398e-09 + x0 = 0.0 + Vm = -0.06 + className = ZombieCompartment + idValue = 465 + length = 0.0005 + Im = 1.3194689277e-08 + x = 0.0005 + z = 0.0 + +Simulate and display current pulse to soma +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex2.0_currentPulse.py* + +A more useful script would run and display the model. Rdesigneur can +help with the stimulus and the plotting. This simulation has the same +passive compartment, and current is injected as the simulation runs. +This script displays the membrane potential of the soma as it charges +and discharges. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + stimList = [['soma', '1', '.', 'inject', '(t>0.1 && t<0.2) * 2e-8']], + plotList = [['soma', '1', '.', 'Vm', 'Soma membrane potential']], + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +The *stimList* defines a stimulus. Each entry has five arguments: + +:: + + `[region_in_cell, region_expression, moose_object, parameter, expression_string]` + +- ``region_in_cell`` specifies the objects to stimulate. Here it is + just the soma. +- ``region_expression`` specifies a geometry based calculation to + decide whether to apply the stimulus. The value must be >0 for the + stimulus to be present. Here it is just 1. ``moose_object`` specifies + the simulation object to operate upon during the stimulus. Here the + ``.`` means that it is the soma itself. In other models it might be a + channel on the soma, or a synapse, and so on. +- ``parameter`` specifies the simulation parameter on the moose object + that the stimulus will modify. Here it is the injection current to + the soma compartment. +- ``expression_string`` calculates the value of the parameter, + typically as a function of time. Here we use the function + ``(t>0.1 && t<0.2) * 2e-8`` which evaluates as 2e-8 between the times + of 0.1 and 0.2 seconds. + +To summarise this, the *stimList* here means *inject a current of 20nA +to the soma between the times of 0.1 and 0.2 s*. + +The *plotList* defines what to plot. It has a similar set of arguments: + +:: + + `[region_in_cell, region_expression, moose_object, parameter, title_of_plot]` + +These mean the same thing as for the stimList except for the title of +the plot. + +The *rdes.display()* function causes the plots to be displayed. + +.. figure:: ../../../../images/rdes2_passive_squid.png + :alt: Plot for current input to passive compartment + + Plot for current input to passive compartment + +When we run this we see an initial depolarization as the soma settles +from its initial -65 mV to a resting Em = -54.4 mV. These are the +original HH values, see the example above. At t = 0.1 seconds there is +another depolarization due to the current injection, and at t = 0.2 +seconds this goes back to the resting potential. + +Simulate and display voltage clamp stimulus to soma +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex2.1_vclamp.py* + +This model introduces the voltage clamp stimulus on a passive compartment. +As before, we add a few lines to define the stimulus and plot. +This script displays both the membrane potential, and the holding current +of the voltage clamp circuit as +it charges and discharges the passive compartment model. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + stimList = [['soma', '1', '.', 'vclamp', '-0.065 + (t>0.1 && t<0.2) * 0.02' ]], + plotList = [ + ['soma', '1', '.', 'Vm', 'Soma membrane potential'], + ['soma', '1', 'vclamp', 'current', 'Soma holding current'], + ] + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +Here the *stimList* line tells the system to deliver a voltage clamp (vclamp) +on the soma, starting at -65 mV and jumping up by 20 mV between 0.1 and 0.2 +seconds. The *plotList* now includes two entries, and will generate two plots. +The first is for plotting the soma membrane potential, just to be sure that +the voltage clamp is doing its job. + +.. figure:: ../../../../images/ex2.1_vclamp_a.png + :alt: Plot for membrane potential in voltage clamp + + Plot for membrane potential in voltage clamp + +The second graph plots the holding current. Note the capacitive transients. + +.. figure:: ../../../../images/ex2.1_vclamp_b.png + :alt: Plot for holding current for voltage clamp + + Plot for holding current for voltage clamp + +HH Squid model in a single compartment +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.0_squid_currentPulse.py* + +Here we put the Hodgkin-Huxley squid model channels into a passive +compartment. The HH channels are predefined as prototype channels for +Rdesigneur, + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ]], + stimList = [['soma', '1', '.', 'inject', '(t>0.1 && t<0.2) * 1e-8' ]], + plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']] + ) + + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +Here we introduce two new model specification lines: + +- **chanProto**: This specifies which ion channels will be used in the + model. Each entry here has two fields: the source of the channel + definition, and (optionally) the name of the channel. In this example + we specify two channels, an Na and a K channel using the original + Hodgkin-Huxley parameters. As the source of the channel definition we + use the name of the Python function that builds the channel. The + *make\_HH\_Na()* and *make\_HH\_K()* functions are predefined but we + can also specify our own functions for making prototypes. We could + also have specified the channel prototype using the name of a channel + definition file in ChannelML (a subset of NeuroML) format. +- **chanDistrib**: This specifies *where* the channels should be placed + over the geometry of the cell. Each entry in the chanDistrib list + specifies the distribution of parameters for one channel using four + entries: + + ``[object_name, region_in_cell, parameter, expression_string]`` + + In this case the job is almost trivial, since we just have a single + compartment named *soma*. So the line + + ``['Na', 'soma', 'Gbar', '1200' ]`` + + means *Put the Na channel in the soma, and set its maximal + conductance density (Gbar) to 1200 Siemens/m^2*. + +As before we apply a somatic current pulse. Since we now have HH +channels in the model, this generates action potentials. + +.. figure:: ../../../../images/rdes3_squid.png + :alt: Plot for HH squid simulation + + Plot for HH squid simulation + +There are several interesting things to do with the model by varying stimulus +parameters: + + - Change injection current. + - Put in a protocol to get rebound action potential. + - Put in a current ramp, and run it for a different duration + - Put in a frequency chirp, and see how the squid model is tuned + to a certain frequency range. + - Modify channel or passive parameters. See if it still fires. + - Try the frequency chirp on the cell with parameters changed. Does + the tuning change? + + +HH Squid model with voltage clamp +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.1_squid_vclamp.py* + +This is the same squid model, but now we add a voltage clamp to the squid +and monitor the holding current. This stimulus line is identical to ex2.1. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ]], + stimList = [['soma', '1', '.', 'vclamp', '-0.065 + (t>0.1 && t<0.2) * 0.02' ]], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['soma', '1', 'vclamp', 'current', 'Soma holding current'] + ] + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +Here we see the classic HH current response, a downward brief deflection due to +the Na channel, and a slower upward sustained current due to the K delayed +rectifier. + +.. figure:: ../../../../images/ex3.1_squid_vclamp.png + :alt: Plot for HH squid voltage clamp pulse. + + Plot for HH squid voltage clamp pulse. + +Here are some suggestions for further exploration: + + - Monitor individual channel currents through additional plots. + - Convert this into a voltage clamp series. Easiest way to do this is + to complete the rdes.BuildModel, then delete the Function object + on the */model/elec/soma/vclamp*. Now you can simply set the 'command' + field of the vclamp in a for loop, going from -ve to +ve voltages. + Remember, SI units. You may wish to capture the plot vectors each + cycle. The plot vectors are accessed by something like + + ``moose.element( '/model/graphs/plot1' ).vector`` + + +HH Squid model in an axon +~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.2_squid_axon_propgn.py* + +Here we put the Hodgkin-Huxley squid model into a long compartment that +is subdivided into many segments, so that we can watch action potentials +propagate. Most of this example is boilerplate code to build a spiral +axon. There is a short *rdesigneur* segment that takes the spiral axon +prototype and populates it with channels, and sets up the display. Later +examples will show you how to read morphology files to specify the +neuronal geometry. + +:: + + import numpy as np + import moose + import pylab + import rdesigneur as rd + + numAxonSegments = 200 + comptLen = 10e-6 + comptDia = 1e-6 + RM = 1.0 + RA = 10.0 + CM = 0.01 + + def makeAxonProto(): + axon = moose.Neuron( '/library/axon' ) + prev = rd.buildCompt( axon, 'soma', RM = RM, RA = RA, CM = CM, dia = 10e-6, x=0, dx=comptLen) + theta = 0 + x = comptLen + y = 0.0 + + for i in range( numAxonSegments ): + dx = comptLen * np.cos( theta ) + dy = comptLen * np.sin( theta ) + r = np.sqrt( x * x + y * y ) + theta += comptLen / r + compt = rd.buildCompt( axon, 'axon' + str(i), RM = RM, RA = RA, CM = CM, x = x, y = y, dx = dx, dy = dy, dia = comptDia ) + moose.connect( prev, 'axial', compt, 'raxial' ) + prev = compt + x += dx + y += dy + + return axon + + moose.Neutral( '/library' ) + makeAxonProto() + + rdes = rd.rdesigneur( + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + cellProto = [['elec','axon']], + chanDistrib = [ + ['Na', '#', 'Gbar', '1200' ], + ['K', '#', 'Gbar', '360' ]], + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.2) * 2e-11' ]], + plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']], + moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] + ) + + rdes.buildModel() + moose.reinit() + + rdes.displayMoogli( 0.00005, 0.05, 0.0 ) + +.. figure:: ../../../../images/ex3.2_axon_propagating_AP.png + :alt: Axon with propagating action potential + + Axon with propagating action potential + +Note how we explicitly create the prototype axon on '/library', and then +specify it using the *cellProto* line in the rdesigneur. The moogList +specifies the 3-D display. See below for how to set up and use these +displays. + +Action potential collision in HH Squid axon model +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.3_AP_collision.py* + +This is identical to the previous example, except that now we deliver current +injection at at two points, the soma and a point along the axon. The modified +stimulus line is: + +:: + + ... + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.2) * 2e-11' ], + ['axon100', '1', '.', 'inject', '(t>0.01 && t<0.2) * 3e-11' ]], + ... + +Watch how the AP is triggered bidirectionally from the stimulus point on the +100th segment of the axon, and observe what happens when two action potentials +bump into each other. + +.. figure:: ../../../../images/ex3.3_AP_collision.png + :alt: Colliding action potentials + + Colliding action potentials + + + +HH Squid model in a myelinated axon +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.4_myelinated_axon.py* + +This is a curious cross-species chimera model, where we embed the HH +equations into a myelinated example model. As for the regular axon +above, most of the example is boilerplate setup code. Note how we +restrict the HH channels to the nodes of Ranvier using a conditional +test for the diameter of the axon segment. + +:: + + import numpy as np + import moose + import pylab + import rdesigneur as rd + + numAxonSegments = 405 + nodeSpacing = 100 + comptLen = 10e-6 + comptDia = 2e-6 # 2x usual + RM = 100.0 # 10x usual + RA = 5.0 + CM = 0.001 # 0.1x usual + + nodeDia = 1e-6 + nodeRM = 1.0 + nodeCM = 0.01 + + def makeAxonProto(): + axon = moose.Neuron( '/library/axon' ) + x = 0.0 + y = 0.0 + prev = rd.buildCompt( axon, 'soma', RM = RM, RA = RA, CM = CM, dia = 10e-6, x=0, dx=comptLen) + theta = 0 + x = comptLen + + for i in range( numAxonSegments ): + r = comptLen + dx = comptLen * np.cos( theta ) + dy = comptLen * np.sin( theta ) + r = np.sqrt( x * x + y * y ) + theta += comptLen / r + if i % nodeSpacing == 0: + compt = rd.buildCompt( axon, 'axon' + str(i), RM = nodeRM, RA = RA, CM = nodeCM, x = x, y = y, dx = dx, dy = dy, dia = nodeDia ) + else: + compt = rd.buildCompt( axon, 'axon' + str(i), RM = RM, RA = RA, CM = CM, x = x, y = y, dx = dx, dy = dy, dia = comptDia ) + moose.connect( prev, 'axial', compt, 'raxial' ) + prev = compt + x += dx + y += dy + + return axon + + moose.Neutral( '/library' ) + makeAxonProto() + + rdes = rd.rdesigneur( + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + cellProto = [['elec','axon']], + chanDistrib = [ + ['Na', '#', 'Gbar', '12000 * (dia < 1.5e-6)' ], + ['K', '#', 'Gbar', '3600 * (dia < 1.5e-6)' ]], + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.2) * 1e-10' ]], + plotList = [['soma,axon100,axon200,axon300,axon400', '1', '.', 'Vm', 'Membrane potential']], + moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] + ) + + rdes.buildModel() + + for i in moose.wildcardFind( "/model/elec/#/Na" ): + print i.parent.name, i.Gbar + + moose.reinit() + + rdes.displayMoogli( 0.00005, 0.05, 0.0 ) + +When you run the example, keep an eye out for a few things: + +- **saltatory conduction:** This is the way the action potential jumps + from one node of Ranvier to the next. Between the nodes it is just + passive propagation. +- **Failure to propagate:** Observe that the second and fourth action + potentials fails to trigger propagation along the axon. Here we have + specially tuned the model properties so that this happens. With a + larger RA of 10.0, the model will be more reliable. +- **Speed:** Compare the propagation speed with the previous, + unmyelinated axon. Note that the current model is larger! + +.. figure:: ../../../../images/rdes3.2_myelinated_axon.png + :alt: Myelinated axon with propagating action potential + + Myelinated axon with propagating action potential + +Alternate (non-squid) way to define soma +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex4.0_scaledSoma.py* + +The default HH-squid axon is not a very convincing soma. Rdesigneur offers a +somewhat more general way to define the soma in the cell prototype line. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + # cellProto syntax: ['somaProto', 'name', dia, length] + cellProto = [['somaProto', 'soma', 20e-6, 200e-6]], + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ]], + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.05) * 1e-9' ]], + plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']], + moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] + ) + + rdes.buildModel() + soma = moose.element( '/model/elec/soma' ) + print( 'Soma dia = {}, length = {}'.format( soma.diameter, soma.length ) ) + moose.reinit() + + rdes.displayMoogli( 0.0005, 0.06, 0.0 ) + +Here the crucial line is the *cellProto* line. There are four arguments here: + + ``['somaProto', 'name', dia, length]`` + + - The first argument tells the system to use a prototype soma, that is + a single cylindrical compartment. + - The second argument is the name to give the cell. + - The third argument is the diameter. Note that this is a double, + not a string. + - The fourth argument is the length of the cylinder that makes up the + soma. This too is a double, not a string. + The cylinder is oriented along the x axis, with one end at (0,0,0) + and the other end at (length, 0, 0). + +This is what the soma looks like: + +.. figure:: ../../../../images/ex4.0_scaledSoma.png + :alt: Image of soma. + + Image of soma. + +It a somewhat elongated soma, being a cylinder 10 times as long as it is wide. + +Ball-and-stick model of a neuron +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex4.1_ballAndStick.py* + +A somewhat more electrically reasonable model of a neuron has a soma and a +single dendrite, which can itself be subdivided into segments so that it +can exhibit voltage gradients, have channel and receptor distributions, +and so on. This is accomplished in *rdesigneur* using a variant of the +cellProto syntax. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + # cellProto syntax: ['ballAndStick', 'name', somaDia, somaLength, dendDia, dendLength, numDendSegments ] + # The numerical arguments are all optional + cellProto = [['ballAndStick', 'soma', 20e-6, 20e-6, 4e-6, 500e-6, 10]], + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ], + ['Na', 'dend#', 'Gbar', '400' ], + ['K', 'dend#', 'Gbar', '120' ] + ], + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.05) * 1e-9' ]], + plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']], + moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] + ) + rdes.buildModel() + soma = moose.element( '/model/elec/soma' ) + moose.reinit() + rdes.displayMoogli( 0.0005, 0.06, 0.0 ) + +As before, the *cellProto* line plays a key role. Here, because we have a long +dendrite, we have a few more numerical arguments. All of the numerical +arguments are optional. + + ``['ballAndStick', 'name', somaDia, somaLength, dendDia, dendLength, numDendSegments ]`` + + - The first argument specifies a ballAndStick model: soma + dendrite. + The length of the dendrite is along the x axis. The soma is a single + segment, the dendrite can be more than one. + - The second argument is the name to give the cell. + - Arg 3 is the soma diameter, as a double. + - Arg 4 is the length of the soma, as a double. + - Arg 5 is the diameter of the dendrite, as a double. + - Arg 6 is the length of the dendrite, as a double. + - Arg 7 is the number of segments into which the dendrite should be + divided. This is a positive integer greater than 0. + +This is what the ball-and-stick cell looks like: + +.. figure:: ../../../../images/ex4.1_ballAndStick.png + :alt: Image of ball and stick cell. + + Image of ball and stick cell. + +In this version of the 3-D display, the soma is displayed as a bit blocky +rather than round. +Note that we have populated the dendrite with Na and K channels and it has +10 segments, so it supports action potential propagation. The snapshot +illustrates this. + +Here are some things to try: + + - Change the length of the dendrite + - Change the number of segments. Explore what it does to accuracy. How + will you know that you have an accurate model? + +Benchmarking simulation speed +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex4.2_ballAndStickSpeed.py* + +The ball-and-stick model gives us an opportunity to check out your system +and how computation scales with model size. While we're at it we'll deliver +a sine-wave stimulus just to see how it can be done. The test model is +very similar to the previous one, ex4.1: + +:: + + import moose + import pylab + import rdesigneur as rd + import time + rdes = rd.rdesigneur( + cellProto = [['ballAndStick', 'soma', 20e-6, 20e-6, 4e-6, 500e-6, 10]], + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ], + ['Na', 'dend#', 'Gbar', '400' ], + ['K', 'dend#', 'Gbar', '120' ] + ], + stimList = [['soma', '1', '.', 'inject', '(1+cos(t/10))*(t>31.4 && t<94) * 0 + .2e-9' ]], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['soma', '1', '.', 'inject', 'Stimulus current'] + ], + ) + rdes.buildModel() + runtime = 100 + moose.reinit() + t0= time.time() + moose.start( runtime ) + print "Real time to run {} simulated seconds = {} seconds".format( runtime, time + .time() - t0 ) + + rdes.display() + +While the real point of this simulation is to check speed, it does illustrate +how to deliver a stimulus shaped like a sine wave: + +.. figure:: ../../../../images/ex4.2_sine_stim.png + :alt: Sine-wave shaped stimulus. + + Sine-wave shaped stimulus. + +We can see that the cell has a peculiar response to this. Not surprising, as +the cell uses HH channels which are not good at rate coding. + +.. figure:: ../../../../images/ex4.2_spiking.png + :alt: Spiking response to sine-wave shaped stimulus. + + Spiking response to sine-wave shaped stimulus. + +As a reference point, on a fast 2018 laptop this benchmark runs in 5.4 seconds. +Some more things to try for benchmarking: + + - How slow does it get if you turn on the 3-D moogli display? + - Is it costlier to run 2 compartments for 1000 seconds, or + 200 compartments for 10 seconds? + +Synaptic stimulus: random (Possion) +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex5.0_random_syn_input.py* + +In this example we introduce synaptic inputs: both the receptor channels +and a means for stimulating the channels. We do this in a passive model. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + cellProto = [['somaProto', 'soma', 20e-6, 200e-6]], + chanProto = [['make_glu()', 'glu']], + chanDistrib = [['glu', 'soma', 'Gbar', '1' ]], + stimList = [['soma', '0.5', 'glu', 'randsyn', '50' ]], + # Deliver stimulus to glu synapse on soma, at mean 50 Hz Poisson. + plotList = [['soma', '1', '.', 'Vm', 'Soma membrane potential']] + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +Most of the rdesigneur setup uses familiar syntax. + +Novelty 1: we use the default built-in glutamate receptor model, in chanProto. +We just put it in the soma at a max conductance of 1 Siemen/sq metre. + +Novelty 2: We specify a new kind of stimulus in the stimList: + + ``['soma', '0.5', 'glu', 'randsyn', '50' ]`` + +Most of this is similar to previous stimLists. + + - arg0: 'soma': the named compartments in the cell to populate with + the *glu* receptor + - arg1: '0.5': Tell the system to use a uniform synaptic weight of 0.5. + This argument could be a more complicated expression incorporating + spatial arguments. Here it is just uniform. + - arg2: 'glu': Which receptor to stimulate + - arg3: 'randsyn': Apply random (Poisson) synaptic input. + - arg4: '50': Mean firing rate of the Poisson input. Note that this last + argument could be a function of time and hence is quite versatile. + +As the model has no voltage-gated channels, we do not see spiking. + +.. figure:: ../../../../images/ex5.0_random_syn_input.png + :alt: Random synaptic input with a Poisson distribution. + + Random synaptic input with a Poisson distribution. + +Things to try: Vary the rate and the weight of the synaptic input. + +Synaptic stimulus: periodic +~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex5.1_periodic_syn_input.py* + +This is almost identical to 5.0, except that the input is now perfectly +periodic. The one change is of an argument in the stimList to say +``periodicsyn`` rather than ``randsyn``. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + cellProto = [['somaProto', 'soma', 20e-6, 200e-6]], + chanProto = [['make_glu()', 'glu']], + chanDistrib = [['glu', 'soma', 'Gbar', '1' ]], + + # Deliver stimulus to glu synapse on soma, periodically at 50 Hz. + stimList = [['soma', '0.5', 'glu', 'periodicsyn', '50' ]], + plotList = [['soma', '1', '.', 'Vm', 'Soma membrane potential']] + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +As designed, we get periodically firing synaptic input. + +.. figure:: ../../../../images/ex5.1_periodic_syn_input.png + :alt: Periodic synaptic input + + Periodic synaptic input + + +Reaction system in a single compartment +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex6_chem_osc.py* + +Here we use the compartment as a place in which to embed a chemical +model. The chemical oscillator model is predefined in the rdesigneur +prototypes. Its general form is: + +:: + + s ---a---> a // s goes to a, catalyzed by a. + s ---a---> b // s goes to b, catalyzed by a. + a ---b---> s // a goes to s, catalyzed by b. + b -------> s // b is degraded irreversibly to s + +Here is the script: + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + turnOffElec = True, + diffusionLength = 1e-3, # Default diffusion length is 2 microns + chemProto = [['makeChemOscillator()', 'osc']], + chemDistrib = [['osc', 'soma', 'install', '1' ]], + plotList = [['soma', '1', 'dend/a', 'conc', 'a Conc'], + ['soma', '1', 'dend/b', 'conc', 'b Conc']] + ) + rdes.buildModel() + b = moose.element( '/model/chem/dend/b' ) + b.concInit *= 5 + moose.reinit() + moose.start( 200 ) + + rdes.display() + +In this special case we set the turnOffElec flag to True, so that +Rdesigneur only sets up chemical and not electrical calculations. This +makes the calculations much faster, since we disable electrical +calculations and delink chemical calculations from them. + +We also have a line which sets the ``diffusionLength`` to 1 mm, so that +it is bigger than the 0.5 mm squid axon segment in the default +compartment. If you don't do this the system will subdivide the +compartment into the default 2 micron voxels for the purposes of putting +in a reaction-diffusion system. We discuss this case below. + +Note how the *plotList* is done here. To remind you, each entry has five +arguments + +:: + + [region_in_cell, region_expression, moose_object, parameter, title_of_plot] + +The change from the earlier usage is that the ``moose_object`` now +refers to a chemical entity, in this example the molecule *dend/a*. The +simulator builds a default chemical compartment named *dend* to hold the +reactions defined in the *chemProto*. What we do in this plot is to +select molecule *a* sitting in *dend*, and plot its concentration. Then +we do this again for molecule *b*. + +After the model is built, we add a couple of lines to change the initial +concentration of the molecular pool *b*. Note its full path within +MOOSE: */model/chem/dend/b*. It is scaled up 5x to give rise to slowly +decaying oscillations. + +.. figure:: ../../../../images/rdes4_osc.png + :alt: Plot for single-compartment reaction simulation + + Plot for single-compartment reaction simulation + +Reaction-diffusion system +~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex7.0_spatial_chem_osc.py* + +In order to see what a reaction-diffusion system looks like, we assign the +``diffusionLength`` expression in the previous example to a much shorter +length, and add a couple of lines to set up 3-D graphics for the +reaction-diffusion product: + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + turnOffElec = True, + #This subdivides the length of the soma into 2 micron voxels + diffusionLength = 2e-6, + chemProto = [['makeChemOscillator()', 'osc']], + chemDistrib = [['osc', 'soma', 'install', '1' ]], + plotList = [['soma', '1', 'dend/a', 'conc', 'Concentration of a'], + ['soma', '1', 'dend/b', 'conc', 'Concentration of b']], + moogList = [['soma', '1', 'dend/a', 'conc', 'a Conc', 0, 360 ]] + ) + + rdes.buildModel() + bv = moose.vec( '/model/chem/dend/b' ) + bv[0].concInit *= 2 + bv[-1].concInit *= 2 + moose.reinit() + + rdes.displayMoogli( 1, 400, rotation = 0, azim = np.pi/2, elev = 0.0 ) + +This is the new value for diffusion length. + +:: + + diffusionLength = 2e-3, + +With this change we tell *rdesigneur* to use the diffusion length of 2 microns. +This happens to be the default too. The 500-micron axon segment is now +subdivided into 250 voxels, each of which has a reaction system and +diffusing molecules. +To make it more picturesque, we have added a line after the plotList, to +display the outcome in 3-D: + +:: + + moogList = [['soma', '1', 'dend/a', 'conc', 'a Conc', 0, 360 ]] + +This line says: take the model compartments defined by ``soma`` as the +region to display, do so throughout the the geometry (the ``1`` +signifies this), and over this range find the chemical entity defined by +``dend/a``. For each ``a`` molecule, find the ``conc`` and dsiplay it. +There are two optional arguments, ``0`` and ``360``, which specify the +low and high value of the displayed variable. + +In order to initially break the symmetry of the system, we change the +initial concentration of molecule b at each end of the cylinder: + +:: + + bv[0].concInit *= 2 + bv[-1].concInit *= 2 + +If we didn't do this the entire system would go through a few cycles of +decaying oscillation and then reach a boring, spatially uniform, steady +state. Try putting an initial symmetry break elsewhere to see what +happens. + +To display the concenctration changes in the 3-D soma as the simulation +runs, we use the line + +:: + + rdes.displayMoogli( 1, 400, rotation = 0, azim = np.pi/2, elev = 0.0 ) + +The arguments mean: *displayMoogli( frametime, runtime, rotation, azimuth, elevation )* +Here, + +:: + + frametime = time by which simulation advances between display updates + runtime = Total simulated time + rotation = angle by which display rotates in each frame, in radians. + azimuth = Azimuth angle of view point, in radians + elevation = elevation angle of view point, in radians + +When we run this, we first get a 3-D display with the oscillating +reaction-diffusion system making its way inward from the two ends. After +the simulation ends the plots for all compartments for the whole run +come up. + +.. figure:: ../../../../images/rdes5_reacdiff.png + :alt: Display for oscillatory reaction-diffusion simulation + + Display for oscillatory reaction-diffusion simulation + +For those who would rather use the much simpler matplotlib 3-D display option, +this is what the same simulation looks like: + +.. figure:: ../../../../images/ex7.0_spatial_chem_osc.png + :alt: Display for oscillatory reac-diff simulation using matplotlib + + Display for oscillatory reac-diff simulation using matplotlib + +Primer on using the 3-D MOOGLI display +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +There are two variants of the MOOGLI display. The first, named Moogli, +uses OpenGL and OpenSceneGraph. It is fast to display, slow to load, and +difficult to compile. It produces much better looking 3-D graphics. +The second is a fallback interface using mplot3d, which is a library of +Matplotlib and so should be generally available. It is slower to display, +faster to load, but needs no special compilation. It uses stick graphics +and though it conveys much the same information, isn't as nice to look at +as the original Moogli. Its controls are more or less the same but less +smooth than the original Moogli. + +Here is a short primer on the 3-D display controls. + +- *Roll, pitch, and yaw*: Use the letters *r*, *p*, and *y*. To rotate + backwards, use capitals. +- *Zoom out and in*: Use the *,* and *.* keys, or their upper-case + equivalents, *<* and *>*. Easier to remember if you think in terms of + the upper-case. +- *Left/right/up/down*: Arrow keys. +- *Quit*: control-q or control-w. +- You can also use the mouse or trackpad to control most of the above. +- By default rdesigneur gives Moogli a small rotation each frame. It is + the *rotation* argument in the line: + + ``displayMoogli( frametime, runtime, rotation )`` + +These controls operate over and above this rotation, but the rotation +continues. If you set the rotation to zero you can, with a suitable +flick of the mouse, get the image to rotate in any direction you choose +as long as the window is updating. + +Diffusion of a single molecule +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex7.1_diffusive_gradient.py* + +This is simply a test model to confirm that simple diffusion happens as +expected. While the model is just that of a single pool, we spend a few lines +taking snapshots of the spatial profile of this pool. + +:: + + import moose + import pylab + import re + import rdesigneur as rd + import matplotlib.pyplot as plt + import numpy as np + + moose.Neutral( '/library' ) + moose.Neutral( '/library/diffn' ) + moose.CubeMesh( '/library/diffn/dend' ) + A = moose.Pool( '/library/diffn/dend/A' ) + A.diffConst = 1e-10 + + rdes = rd.rdesigneur( + turnOffElec = True, + diffusionLength = 1e-6, + chemProto = [['diffn', 'diffn']], + chemDistrib = [['diffn', 'soma', 'install', '1' ]], + moogList = [ + ['soma', '1', 'dend/A', 'conc', 'A Conc', 0, 360 ] + ] + ) + rdes.buildModel() + + rdes.displayMoogli( 1, 2, rotation = 0, azim = -np.pi/2, elev = 0.0, block = False ) + av = moose.vec( '/model/chem/dend/A' ) + for i in range(10): + av[i].concInit = 1 + moose.reinit() + plist = [] + for i in range( 20 ): + plist.append( av.conc[:200] ) + moose.start( 2 ) + fig = plt.figure( figsize = ( 10, 12 ) ) + plist = np.array( plist ).T + plt.plot( range( 0, 200 ), plist ) + plt.xlabel( "position ( microns )" ) + plt.ylabel( "concentration ( mM )" ) + plt.show( block = True ) + + +Here are the snapshots, overlaid in a single plot: + +.. figure:: ../../../../images/ex7.1_diffusive_gradient.png + :alt: Display of how a molecule A spreads through the inter + + Display for simple time-series of spread of a diffusing molecule + using matplotlib + + +Multiscale models: single compartment +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex8.0_multiscale_KA_phosph.py* + +The next few examples are for the multiscale modeling that is the main purpose +of rdesigneur and MOOSE as a whole. These are 'toy' examples in that the +chemical and electrical signaling is simplified, but they exhibit dynamics +that are of real interest. + +The first example is of a bistable system where the feedback loop comprises of + +`calcium influx -> chemical activity -> channel modulation -> electrical activity -> calcium influx.` + +Calcium enters through voltage gated calcium channels, leads to enzyme +activation and phosphorylation of a KA channel, which depolarizes the cell, +so it spikes more, so more calcium enters. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + elecDt = 50e-6, + chemDt = 0.002, + chemPlotDt = 0.002, + # cellProto syntax: ['somaProto', 'name', dia, length] + cellProto = [['somaProto', 'soma', 12e-6, 12e-6]], + chemProto = [['./chem/chanPhosphByCaMKII.g', 'chem']], + chanProto = [ + ['make_Na()', 'Na'], + ['make_K_DR()', 'K_DR'], + ['make_K_A()', 'K_A' ], + ['make_Ca()', 'Ca' ], + ['make_Ca_conc()', 'Ca_conc' ] + ], + # Some changes to the default passive properties of the cell. + passiveDistrib = [['.', 'soma', 'CM', '0.03', 'Em', '-0.06']], + chemDistrib = [['chem', 'soma', 'install', '1' ]], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '300' ], + ['K_DR', 'soma', 'Gbar', '250' ], + ['K_A', 'soma', 'Gbar', '200' ], + ['Ca_conc', 'soma', 'tau', '0.0333' ], + ['Ca', 'soma', 'Gbar', '40' ] + ], + adaptorList = [ + [ 'dend/chan', 'conc', 'K_A', 'modulation', 0.0, 70 ], + [ 'Ca_conc', 'Ca', 'dend/Ca', 'conc', 0.00008, 2 ] + ], + # Give a + pulse from 5 to 7s, and a - pulse from 20 to 21. + stimList = [['soma', '1', '.', 'inject', '((t>5 && t<7) - (t>20 && t<21)) * 1.0e-12' ]], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['soma', '1', '.', 'inject', 'current inj'], + ['soma', '1', 'K_A', 'Ik', 'K_A current'], + ['soma', '1', 'dend/chan', 'conc', 'Unphosph K_A conc'], + ['soma', '1', 'dend/Ca', 'conc', 'Chem Ca'], + ], + ) + + rdes.buildModel() + moose.reinit() + moose.start( 30 ) + + rdes.display() + +There is only one fundamentally new element in this script: + +**adaptor List:** `[source, sourceField, dest, destField, offset, scale]` +The adaptor list maps between molecular, electrical or even structural +quantities in the simulation. At present it is linear mapping, in due course +it may evolve to an arbitrary function. + +The two adaptorLists in the above script do the following: + + ``[ 'dend/chan', 'conc', 'K_A', 'modulation', 0.0, 70 ]``: + +Use the concentration of the 'chan' molecule in the 'dend' compartment, +to modulate the conductance of the 'K_A' channel such that the basal +conductance is zero and 1 millimolar of 'chan' results in a conductance that is +70 times greater than the baseline conductance of the channel, *Gbar*. + +It is advisable to use the field *'modulation'* on channels undergoing scaling, +rather than to directly assign the conductance *'Gbar'*. This is because +*Gbar* is an absolute conductance, and therefore it is scaled to the area of +the electrical segment. This makes it difficult to keep track of. *Modulation* +is a simple multiplier term onto *Gbar*, and is therefore easier to work with. + + ``[ 'Ca_conc', 'Ca', 'dend/Ca', 'conc', 0.00008, 2 ]``: + +Use the concentration of *Ca* as computed in the electrical model, to assign +the concentration of molecule *Ca* on the dendrite compartment. There is a +basal level of 80 nanomolar, and every unit of electrical *Ca* maps to 2 +millimolar of chemical *Ca*. + +The arguments in the adaptorList are: + + * **Source and Dest**: Strings. These can be either a molecular or an + electrical object. To identify a molecular object, it should be + prefixed with the name of the chemical compartment, which is one + of *dend, spine, psd*. Thus *dend/chan* specifies a molecule + named *'chan'* sitting in the *'dend'* compartment. + + To identify an electrical object, just pass in its path, + such as '.' or *'Ca_conc'*. + + Note that the adaptors do **not** need to know anything about the + location. It is assumed that the adaptors do their job wherever + the specified source and dest coexist. There is a subtlety here + due to the different length and time scales. The rule of thumb + is that the adaptor averages whichever one is subdivided more finely. + + - Example 1: Molecules are typically spatially partitioned into + short voxels (micron-scale) compared to typical 100-micron + electrical + segments. So an adaptor going from molecules to, say, channel + conductance, would average all the molecular voxels that fit + in the electrical segment. + - Example 2: Electrical activity is typically much faster than + chemical. + So an adaptor going from an electrical entity (Ca computed from + channel opening) to molecules (Chemical Ca concentration) would + average all the time-steps between updates to the molecule. + + * **Fields**: Strings. These are simply the field names on the + objects coupled by the adaptors. + + * **offset and scale**: Doubles. At present the adaptor is just a + straight-line conversion, obeying ``y = mx + c``. The computed + output is *y*, averaged input is *x*, offset is *c* and scale is *m*. + +There is a handy new line to specify cellular passive properties: + +**passiveDistrib:** `['.', path, field, value, field, value, ... ]`, + + * '.': This is just a placeholder. + * path: String. Specifies the object whose parameters are to be changed. + * field: String. Name of the field on the object. + * value: String, that is the value has to be enclosed in quotes. The + value to be assigned to the object. + +With these in place, the model behavior is rather neat. It starts out silent, +then we apply 2 seconds of +ve current injection. + +.. figure:: ../../../../images/ex8.0_multiscale_currInj.png + :alt: Current injection stimuli for multiscale model. + + Current injection stimuli for multiscale model. + +The cell fires briskly, and keeps firing even when the current injection +drops to zero. + +.. figure:: ../../../../images/ex8.0_multiscale_cell_spiking.png + :alt: Firing responses of cell with multiscale signaling. + + Firing responses of cell with multiscale signaling. + +The firing of the neuron leads to Ca influx. + +.. figure:: ../../../../images/ex8.0_multiscale_Ca.png + :alt: Calcium buildup in cell due to firing. + + Calcium buildup in cell due to firing. + +The chemical reactions downstream of Ca lead to phosphorylation of the K_A +channel. Only the unphosphorylated K_A channel is active, so the net effect +is to reduce K_A conductance while the Ca influx persists. + +.. figure:: ../../../../images/ex8.0_multiscale_KA_conc.png + :alt: Removal of KA channel due to phosphorylation. + + Removal of KA channel due to phosphorylation. + + +Since the phosphorylated form has low conductance, the cell becomes more +excitable and keeps firing even when the current injection is stopped. It takes +a later, -ve current injection to turn the firing off again. + +Suggestions for things to do with the model: + + - Vary the adaptor settings, which couple electrical to chemical + signaling and vice versa. + - Play with the channel densities + - Open the chem model in moosegui and vary its parameters too. + +Multiscale model spanning PSD, spine head and dendrite +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex8.2_multiscale_glurR_phosph_3compt.py* + +This is another multiscale model on similar lines to 8.0. It is structurally +and computationally more complicated, because the action is distributed between +spines and dendrites, but formally it does the same thing: it turns on and +stays on after a strong stimulus, due to phosphorylation of a (receptor) +channel leading to greater excitability. + +`calcium influx -> chemical activity -> channel modulation -> electrical activity -> calcium influx.` + +The model is bistable as long as synaptic input keeps coming along at a basal +rate, in this case 1 Hz. + +Here we have two new lines, to do with addition of spines. These are discussed +in detail in a later example. For now it is enough to know that the +**spineProto** line defines one of the prototype spines to be used to put into +the model, and the **spineDistrib** line tells the system where to put them, +and how widely to space them. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + elecDt = 50e-6, + chemDt = 0.002, + diffDt = 0.002, + chemPlotDt = 0.02, + useGssa = False, + # cellProto syntax: ['ballAndStick', 'name', somaDia, somaLength, dendDia, d + endLength, numDendSegments ] + cellProto = [['ballAndStick', 'soma', 12e-6, 12e-6, 4e-6, 100e-6, 2 ]], + chemProto = [['./chem/chanPhosph3compt.g', 'chem']], + spineProto = [['makeActiveSpine()', 'spine']], + chanProto = [ + ['make_Na()', 'Na'], + ['make_K_DR()', 'K_DR'], + ['make_K_A()', 'K_A' ], + ['make_Ca()', 'Ca' ], + ['make_Ca_conc()', 'Ca_conc' ] + ], + passiveDistrib = [['.', 'soma', 'CM', '0.01', 'Em', '-0.06']], + spineDistrib = [['spine', '#dend#', '50e-6', '1e-6']], + chemDistrib = [['chem', '#', 'install', '1' ]], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '300' ], + ['K_DR', 'soma', 'Gbar', '250' ], + ['K_A', 'soma', 'Gbar', '200' ], + ['Ca_conc', 'soma', 'tau', '0.0333' ], + ['Ca', 'soma', 'Gbar', '40' ] + ], + adaptorList = [ + [ 'psd/chan_p', 'n', 'glu', 'modulation', 0.1, 1.0 ], + [ 'Ca_conc', 'Ca', 'spine/Ca', 'conc', 0.00008, 8 ] + ], + # Syn input basline 1 Hz, and 40Hz burst for 1 sec at t=20. Syn weight + # is 0.5, specified in 2nd argument as a special case stimLists. + stimList = [['head#', '0.5','glu', 'periodicsyn', '1 + 40*(t>10 && t<11)']], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'spine/Ca', 'conc', 'Ca in Spine'], + ['#', '1', 'dend/DEND/Ca', 'conc', 'Ca in Dend'], + ['#', '1', 'spine/Ca_CaM', 'conc', 'Ca_CaM'], + ['head#', '1', 'psd/chan_p', 'conc', 'Phosph gluR'], + ['head#', '1', 'psd/Ca_CaM_CaMKII', 'conc', 'Active CaMKII'], + ] + ) + moose.seed(123) + rdes.buildModel() + moose.reinit() + moose.start( 25 ) + rdes.display() + + +This is how it works: + +This is a ball-and-stick model with a couple of spines sitting on the dendrite. +The spines get synaptic input onto NMDARs and gluRs. There is a baseline +input rate of 1 Hz thoughout, and there is a burst at 40 Hz for 1 second at +t = 10s. + +.. figure:: ../../../../images/ex8.2_Vm.png + :alt: Membrane potential responses of cell with synaptic input and multiscale signaling + + Membrane potential responses of cell with synaptic input and multiscale signaling + + +At baseline, we just have small EPSPs and little Ca influx. A burst of +strong synaptic input causes Ca entry into the spine via NMDAR. + +.. figure:: ../../../../images/ex8.2_Ca_spine.png + :alt: Calcium influx into spine. + + Calcium influx into spine. + +Ca diffuses from the spine into the dendrite and spreads. In the graph below +we see how Calcium goes into the 50-odd voxels of the dendrite. + +.. figure:: ../../../../images/ex8.2_Ca_dend.png + :alt: Calcium influx and diffusion in dendrite. + + Calcium influx and diffusion in dendrite. + + +The Ca influx into the spine +triggers activation of CaMKII and its translocation to the PSD, where +it phosphorylates and increases the conductance of gluR. We have two spines +with slightly different geometry, so the CaMKII activity differs slightly. + +.. figure:: ../../../../images/ex8.2_active_CaMKII.png + :alt: Activation of CaMKII and translocation to PSD + + Activation of CaMKII and translocation to PSD + + +Now that gluR has a greater weight, the baseline synaptic input keeps +Ca trickling in enough to keep the CaMKII active. + +Here are the reactions: + +:: + + Ca+CaM <===> Ca_CaM; Ca_CaM + CaMKII <===> Ca_CaM_CaMKII (all in + spine head, except that the Ca_CaM_CaMKII translocates to the PSD) + + chan ------Ca_CaM_CaMKII-----> chan_p; chan_p ------> chan (all in PSD) + +Suggestions: + + - Add GABAR using make_GABA(), put it on soma or dendrite. Stimulate it + after 20 s to see if you can turn off the sustained activation + - Replace the 'periodicsyn' in stimList with 'randsyn'. This gives + Poisson activity at the specified mean frequency. Does the switch + remain reliable? + - What are the limits of various parameters for this switching? You + could try basal synaptic rate, burst rate, the various scaling factors + for the adaptors, the densities of various channels, synaptic weight, + and so on. + - In real life an individual synaptic EPSP is tiny, under a millivolt. + How many synapses would you need to achieve this kind of switching? + You can play with # of synapses by altering the spacing between + spines as the third argument of spineDistrib. + +Multiscale model in which spine geometry changes due to signaling +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex8.3_spine_vol_change.py* + +This model is very similar to 8.2. The main design difference is that +*adaptor*, instead of just modulating the gluR conductance, scales the +entire spine cross-section area, with all sorts of electrical and chemical +ramifications. There are a lot of plots, to illustrate some of these outcomes. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + elecDt = 50e-6, + chemDt = 0.002, + diffDt = 0.002, + chemPlotDt = 0.02, + useGssa = False, + stealCellFromLibrary = True, # Simply move library model to use for sim + cellProto = [['ballAndStick', 'soma', 12e-6, 12e-6, 4e-6, 100e-6, 2 ]], + chemProto = [['./chem/chanPhosph3compt.g', 'chem']], + spineProto = [['makeActiveSpine()', 'spine']], + chanProto = [ + ['make_Na()', 'Na'], + ['make_K_DR()', 'K_DR'], + ['make_K_A()', 'K_A' ], + ['make_Ca()', 'Ca' ], + ['make_Ca_conc()', 'Ca_conc' ] + ], + passiveDistrib = [['.', 'soma', 'CM', '0.01', 'Em', '-0.06']], + spineDistrib = [['spine', '#dend#', '50e-6', '1e-6']], + chemDistrib = [['chem', '#', 'install', '1' ]], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '300' ], + ['K_DR', 'soma', 'Gbar', '250' ], + ['K_A', 'soma', 'Gbar', '200' ], + ['Ca_conc', 'soma', 'tau', '0.0333' ], + ['Ca', 'soma', 'Gbar', '40' ] + ], + adaptorList = [ + # This scales the psdArea of the spine by # of chan_p. Note that + # the cross-section area of the spine head is identical to psdArea. + [ 'psd/chan_p', 'n', 'spine', 'psdArea', 0.1e-12, 0.01e-12 ], + [ 'Ca_conc', 'Ca', 'spine/Ca', 'conc', 0.00008, 8 ] + ], + # Syn input basline 1 Hz, and 40Hz burst for 1 sec at t=20. Syn wt=10 + stimList = [['head#', '10','glu', 'periodicsyn', '1 + 40*(t>10 && t<11)']], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'spine/Ca', 'conc', 'Ca in Spine'], + ['#', '1', 'dend/DEND/Ca', 'conc', 'Ca in Dend'], + ['head#', '1', 'psd/chan_p', 'n', 'Amount of Phospho-chan'], + ['head#', '1', 'spine/CaMKII', 'conc', 'Conc of CaMKII in spine'], + ['head#', '1', '.', 'Cm', 'Capacitance of spine head'], + ['head#', '1', '.', 'Rm', 'Membrane res of spine head'], + ['head#', '1', '.', 'Ra', 'Axial res of spine head'], + ['head#', '1', 'glu', 'Gbar', 'Conductance of gluR'], + ['head#', '1', 'NMDA', 'Gbar', 'Conductance of NMDAR'], + ] + ) + moose.seed(123) + rdes.buildModel() + moose.reinit() + moose.start( 25 ) + rdes.display() + + +The key *adaptor* line is as follows: + +``[ 'psd/chan_p', 'n', 'spine', 'psdArea', 0.1e-12, 0.01e-12 ]`` + +Here, we use the phosphorylated *chan_p* molecule in the PSD as a proxy for +processes that control spine size. We operate on a special object called +*spine* which manages many aspects of spines in the model (see below). Here +we control the *psdArea*, which defines the cross-section area of the spine +head and by extension of the PSD too. We keep a minimum spine area of 0.1 um^2, +and a scaling factor of 0.01um^2 per phosphorylated molecule. + +The reaction system is identical to the one in *ex8.2*: + +:: + + Ca+CaM <===> Ca_CaM; Ca_CaM + CaMKII <===> Ca_CaM_CaMKII (all in + spine head, except that the Ca_CaM_CaMKII translocates to the PSD) + + chan ------Ca_CaM_CaMKII-----> chan_p; chan_p ------> chan (all in PSD) + +Rather than list all the 10 plots, here are a few to show what is going on. + +First, just the spiking activity of the cell. Here the burst of activity is +followed by a few seconds of enhanced synaptic weight, followed by subthreshold +EPSPs: + +.. figure:: ../../../../images/ex8.3_Vm.png + :alt: Membrane potential and spiking. + + Membrane potential and spiking. + +Then, we fast-forward to the amount of *chan_p* which is the molecule that +controls spine size scaling: + +.. figure:: ../../../../images/ex8.3_chan_p.png + :alt: Molecule that controles spine size + + Molecule that controles spine size + +This causes some obvious outcomes. One of them is to increase the synaptic +conductance of the glutamate receptor. The system assumes that the conductance +of all channels in the PSD scales linearly with the psdArea. + +.. figure:: ../../../../images/ex8.3_gluR.png + :alt: Conductance of glutamate receptor + + Conductance of glutamate receptor + +Here is one of several non-intuitive outcomes. Because the spine volume has +increased, the concentration of molecules in the spine is diluted out. So +the concentration of active CaMKII actually falls when the spine gets bigger. +In a more detailed model, this would be a race between the increase in spine +size and the time taken for diffusion and further reactions to replenish +CaMKII. In the current model we don't have a diffusive coupling of CaMKII to +the dendrite, so this replenishment doesn't happen. + +.. figure:: ../../../../images/ex8.3_CaMKII_spine.png + :alt: Concentration of CaMKII in the spine + + Concentration of CaMKII in the spine + +In the simulation we display several other electrical and chemical properties +that change with spine size. The diffusion properties also change since the +cross-section areas are altered. This is harder to visualize but has large +effects on coupling to the dendrite, +especially if the *shaftDiameter* is the parameter scaled by the signaling. + + +Suggestions: + + - The Spine class (instance: spine) manages several possible scaling + targets on the spine geometry: shaftLength, shaftDiameter, + headLength, headDiameter, psdArea, headVolume, totalLength. Try them + out. Think about mechanisms by which molecular concentrations might + affect each. + - When volume changes, we assume that the molecular numbers stay + fixed, so concentration changes. Except for buffered molecules, where + we assume concentration remains fixed. Use this to design a bistable + simply relying on molecules and spine geometry terms. + - Even more interesting, use it to design an oscillator. You could look + at Bhalla, BiophysJ 2011 for some ideas. + + + +Morphology: Load .swc morphology file and view it +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex9.0_load_neuronal_morphology_file.py* + +Here we build a passive model using a morphology file in the .swc file +format (as used by NeuroMorpho.org). The morphology file is predefined +for Rdesigneur and resides in the directory ``./cells``. We apply a +somatic current pulse, and view the somatic membrane potential in a +plot, as before. To make things interesting we display the morphology in +3-D upon which we represent the membrane potential as colors. + +:: + + import sys + import moose + import rdesigneur as rd + + if len( sys.argv ) > 1: + fname = sys.argv[1] + else: + fname = './cells/h10.CNG.swc' + rdes = rd.rdesigneur( + cellProto = [[fname, 'elec']], + stimList = [['soma', '1', '.', 'inject', 't * 25e-9' ]], + plotList = [['#', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'Ca_conc', 'Ca', 'Ca conc (uM)']], + moogList = [['#', '1', '.', 'Vm', 'Soma potential']] + ) + rdes.buildModel() + moose.reinit() + rdes.displayMoogli( 0.001, 0.1, rotation = 0.02 ) + + +Here the new concept is the cellProto line, which loads in the specified +cell model: + +:: + + `[ filename, cellname ]` + +The system recognizes the filename extension and builds a model from the +swc file. It uses the cellname **elec** in this example. + +We use a similar line as in the reaction-diffusion example, to build up +a Moogli display of the cell model: + +:: + + `moogList = [['#', '1', '.', 'Vm', 'Soma potential']]` + +Here we have: + +:: + + # : the path to use for selecting the compartments to display. + This wildcard means use all compartments. + 1 : The expression to use for the compartments. Again, `1` means use + all of them. + . : Which object in the compartment to display. Here we are using the + compartment itself, so it is just a dot. + Vm : Field to display + Soma potential : Title for display. + +.. figure:: ../../../../images/ex9.0_passive_cell_morpho.png + :alt: 3-D display for passive neuron + + 3-D display for passive neuron + +Suggestions: + + - The tutorial directory already has a number of pre-loaded files from + NeuroMorpho. Pass them in to ex9.0 on the command line: + + `python ex9.0_load_neuronal_morphology_file.py <morpho.swc>` + - Grab other morphology files from NeuroMorpho.org, try them out. + +Build an active neuron model by putting channels into a morphology file +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex9.1_chans_in_neuronal_morph.py* + +Here we load in a morphology file and distribute voltage-gated ion channels +over the neuron. The voltage-gated channels are obtained from a +number of channelML files, located in the ``./channels`` subdirectory. +Since we have a spatially extended neuron, we need to specify the +spatial distribution of channel densities too. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + chanProto = [ + ['./chans/hd.xml'], + ['./chans/kap.xml'], + ['./chans/kad.xml'], + ['./chans/kdr.xml'], + ['./chans/na3.xml'], + ['./chans/nax.xml'], + ['./chans/CaConc.xml'], + ['./chans/Ca.xml'] + ], + cellProto = [['./cells/h10.CNG.swc', 'elec']], + chanDistrib = [ \ + ["hd", "#dend#,#apical#", "Gbar", "50e-2*(1+(p*3e4))" ], + ["kdr", "#", "Gbar", "p < 50e-6 ? 500 : 100" ], + ["na3", "#soma#,#dend#,#apical#", "Gbar", "850" ], + ["nax", "#soma#,#axon#", "Gbar", "1250" ], + ["kap", "#axon#,#soma#", "Gbar", "300" ], + ["kap", "#dend#,#apical#", "Gbar", + "300*(H(100-p*1e6)) * (1+(p*1e4))" ], + ["Ca_conc", "#", "tau", "0.0133" ], + ["kad", "#soma#,#dend#,#apical#", "Gbar", "50" ], + ["Ca", "#", "Gbar", "50" ] + ], + stimList = [['soma', '1', '.', 'inject', '(t>0.02) * 1e-9' ]], + plotList = [['#', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'Ca_conc', 'Ca', 'Ca conc (uM)']], + moogList = [['#', '1', 'Ca_conc', 'Ca', 'Calcium conc (uM)', 0, 120], + ['#', '1', '.', 'Vm', 'Soma potential']] + ) + + rdes.buildModel() + + moose.reinit() + rdes.displayMoogli( 0.0002, 0.052 ) + +Here we make more extensive use of two concepts which we've already seen +from the single compartment squid model: + +1. *chanProto*: This defines numerous channels, each of which is of the + form: + + ``[ filename ]`` + + or + + ``[ filename, channelname ]`` + + or + + ``[ channelFunction(), channelname ]`` + +If the *channelname* is not specified the system uses the last part of +the channel name, before the filetype suffix. + +2. *chanDistrib*: This defines the spatial distribution of each channel + type. Each line is of a form that should be familiar now: + + ``[channelname, region_in_cell, parameter, expression_string]`` + +- The *channelname* is the name of the prototype from *chanproto*. This + is usually an ion channel, but in the example above you can also see + a calcium concentration pool defined. +- The *region\_in\_cell* is typically defined using wildcards, so that + it generalizes to any cell morphology. For example, the plain + wildcard ``#`` means to consider all cell compartments. The wildcard + ``#dend#`` means to consider all compartments with the string + ``dend`` somewhere in the name. Wildcards can be comma-separated, so + ``#soma#,#dend#`` means consider all compartments with either soma or + dend in their name. The naming in MOOSE is defined by the model file. + Importantly, in **.swc** files MOOSE generates names that respect the + classification of compartments into axon, soma, dendrite, and apical + dendrite compartments respectively. SWC files generate compartment + names such as: + + :: + + soma_<number> + dend_<number> + apical_<number> + axon_<number> + +where the number is automatically assigned by the reader. In order to +select all dendritic compartments, for example, one would use *"#dend#"* +where the *"#"* acts as a wildcard to accept any string. - The +*parameter* is usually Gbar, the channel conductance density in *S/m^2*. +If *Gbar* is zero or less, then the system economizes by not +incorporating this channel mechanism in this part of the cell. +Similarly, for calcium pools, if the *tau* is below zero then the +calcium pool object is simply not inserted into this part of the cell. - +The *expression\_string* defines the value of the parameter, such as +Gbar. This is typically a function of position in the cell. The +expression evaluator knows about several parameters of cell geometry. +All units are in metres: + +- *x*, *y* and *z* coordinates. +- *g*, the geometrical distance from the soma +- *p*, the path length from the soma, measured along the dendrites. +- *dia*, the diameter of the dendrite. +- *L*, The electrotonic length from the soma (no units). + +Along with these geometrical arguments, we make liberal use of the +ternary expressions like *p < 50e-6 ? 500 : 100* or multiplying a channel +density with a logical function or Heaviside function H(x) to set up the +channel distributions. The +expression evaluator also knows about pretty much all common algebraic, +trignometric, and logarithmic functions, should you wish to use these. + +Also note the two Moogli displays. The first is the calcium +concentration. The second is the membrane potential in each compartment. +Easy! + +.. figure:: ../../../../images/rdes8_active.png + :alt: 3-D display for active neuron + + 3-D display for active neuron + +Suggestions: + + - Try another morphology file. + - Try different channel distributions by editing the chanDistrib lines. + - There are numerous predefined channels available within Rdesigneur. + These can be defined using the following chanProto options: + + :: + + ['make_HH_Na()', 'HH_Na'] + ['make_HH_K_DR()', 'HH_K'] + ['make_Na()', 'Na'] + ['make_K_DR()', 'K_DR'] + ['make_K_A()', 'K_A'] + ['make_K_AHP()', 'K_AHP'] + ['make_K_C()', 'K_C'] + ['make_Ca()', 'Ca'] + ['make_Ca_conc()', 'Ca_conc'] + ['make_glu()', 'glu'] + ['make_GABA()', 'GABA'] + + Then the chanDistrib can refer to these channels instead. + - Deliver stimuli on the dendrites rather than the soma. + + +Build a spiny neuron from a morphology file and put active channels in it. +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex9.2_spines_in_neuronal_morpho.py* + +This model is one step elaborated from the previous one, in that we now +also have dendritic spines. MOOSE lets one decorate a bare neuronal +morphology file with dendritic spines, specifying various geometric +parameters of their location. As before, we use an swc file for the +morphology, and the same ion channels and distribution. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + chanProto = [ + ['./chans/hd.xml'], + ['./chans/kap.xml'], + ['./chans/kad.xml'], + ['./chans/kdr.xml'], + ['./chans/na3.xml'], + ['./chans/nax.xml'], + ['./chans/CaConc.xml'], + ['./chans/Ca.xml'] + ], + cellProto = [['./cells/h10.CNG.swc', 'elec']], + spineProto = [['makeActiveSpine()', 'spine']], + chanDistrib = [ + ["hd", "#dend#,#apical#", "Gbar", "50e-2*(1+(p*3e4))" ], + ["kdr", "#", "Gbar", "p < 50e-6 ? 500 : 100" ], + ["na3", "#soma#,#dend#,#apical#", "Gbar", "850" ], + ["nax", "#soma#,#axon#", "Gbar", "1250" ], + ["kap", "#axon#,#soma#", "Gbar", "300" ], + ["kap", "#dend#,#apical#", "Gbar", + "300*(H(100-p*1e6)) * (1+(p*1e4))" ], + ["Ca_conc", "#", "tau", "0.0133" ], + ["kad", "#soma#,#dend#,#apical#", "Gbar", "50" ], + ["Ca", "#", "Gbar", "50" ] + ], + spineDistrib = [['spine', '#dend#,#apical#', '20e-6', '1e-6']], + stimList = [['soma', '1', '.', 'inject', '(t>0.02) * 1e-9' ]], + plotList = [['#', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'Ca_conc', 'Ca', 'Ca conc (uM)']], + moogList = [['#', '1', 'Ca_conc', 'Ca', 'Calcium conc (uM)', 0, 120], + ['#', '1', '.', 'Vm', 'Soma potential']] + ) + + rdes.buildModel() + + moose.reinit() + rdes.displayMoogli( 0.0002, 0.023 ) + +Spines are set up in a familiar way: we first define one (or more) +prototype spines, and then distribute these around the cell. Here is the +prototype string: + +:: + + [spine_proto, spinename] + +*spineProto*: This is typically a function. One can define one's own, +but there are several predefined ones in rdesigneur. All these define a +spine with the following parameters: + +- head diameter 0.5 microns +- head length 0.5 microns +- shaft length 1 micron +- shaft diameter of 0.2 microns +- RM = 1.0 ohm-metre square +- RA = 1.0 ohm-meter +- CM = 0.01 Farads per square metre. + +Here are the predefined spine prototypes: + +- *makePassiveSpine()*: This just makes a passive spine with the + default parameters +- *makeExcSpine()*: This makes a spine with NMDA and glu receptors, and + also a calcium pool. The NMDA channel feeds the Ca pool. +- *makeActiveSpine()*: This adds a Ca channel to the exc\_spine. and + also a calcium pool. + +The spine distributions are specified in a familiar way for the first +few arguments, and then there are multiple (optional) spine-specific +parameters: + +*[spinename, region\_in\_cell, spacing, spacing\_distrib, size, +size\_distrib, angle, angle\_distrib ]* + +Only the first two arguments are mandatory. + +- *spinename*: The prototype name +- *region\_in\_cell*: Usual wildcard specification of names of + compartments in which to put the spines. +- *spacing*: Math expression to define spacing between spines. In the + current implementation this evaluates to + ``1/probability_of_spine_per_unit_length``. Defaults to 10 microns. + Thus, there is a 10% probability of a spine insertion in every + micron. This evaluation method has the drawback that it is possible + to space spines rather too close to each other. If spacing is zero or + less, no spines are inserted. +- *spacing\_distrib*: Math expression for distribution of spacing. In + the current implementation, this specifies the interval at which the + system samples from the spacing probability above. Defaults to 1 + micron. +- *size*: Linear scale factor for size of spine. All dimensions are + scaled by this factor. The default spine head here is 0.5 microns in + diameter and length. If the scale factor were to be 2, the volume + would be 8 times as large. Defaults to 1.0. +- *size\_distrib*: Range for size of spine. A random number R is + computed in the range 0 to 1, and the final size used is + ``size + (R - 0.5) * size_distrib``. Defaults to 0.5 +- *angle*: This specifies the initial angle at which the spine sticks + out of the dendrite. If all angles were zero, they would all point + away from the soma. Defaults to 0 radians. +- *angle\_distrib*: Specifies a random number to add to the initial + angle. Defaults to 2 PI radians, so the spines come out in any + direction. + +.. figure:: ../../../../images/rdes9_spiny_active.png + :alt: 3-D display for spiny active neuron + + 3-D display for spiny active neuron + +Suggestions: + + - Try different spine settings. Warning: if you put in too many spines + it will take much longer to load and run! + - Try different spine geometry layouts. + - See if you can deliver the current injection to the spine. Hint: the + name of the spine compartments is 'head#' where # is the index of the + spine. + + diff --git a/docs/source/user/py/rdesigneur/rdesigneur/index_rd.rst b/docs/source/user/py/rdesigneur/rdesigneur/index_rd.rst new file mode 100644 index 00000000..a729cb8b --- /dev/null +++ b/docs/source/user/py/rdesigneur/rdesigneur/index_rd.rst @@ -0,0 +1,13 @@ +.. MOOSE documentation master file, created by + sphinx-quickstart on Tue Jul 31 19:05:47 2018. + You can adapt this file completely to your liking, but it should at least + contain the root `toctree` directive. + +Rdesignuer +=========== + +.. toctree:: + :maxdepth: 2 + + rdes + multi_rdes diff --git a/docs/source/user/py/rdesigneur/rdesigneur/multi_rdes.rst b/docs/source/user/py/rdesigneur/rdesigneur/multi_rdes.rst new file mode 100644 index 00000000..d240f1b1 --- /dev/null +++ b/docs/source/user/py/rdesigneur/rdesigneur/multi_rdes.rst @@ -0,0 +1,52 @@ +************************ +Rdesigneur Examples +************************ + +.. hidden-code-block:: reStructuredText + :label: How to run these examples + + Each of the following examples can be run by clicking on the green source button + on the right side of each example, and running from within a ``.py`` python file + on a computer where moose is installed. + + Alternatively, all the files mentioned on this page can be found in the main + moose directory. They can be found under + + (...)/moose/moose-examples/snippets + + They can be run by typing + + $ python filename.py + + in your command line, where filename.py is the python file you want to run. + + All of the following examples show one or more methods within each python file. + For example, in the ``cubeMeshSigNeur`` section, there are two blue tabs + describing the ``cubeMeshSigNeur.createSquid()`` and ``cubeMeshSigNeur.main()`` + methods. + + The filename is the bit that comes before the ``.`` in the blue boxes, with + ``.py`` added at the end of it. In this case, the file name would be + ``cubeMeshSigNeur.py``. +| + +Building Chemical-Electrical Signalling Models +---------------------------------------------- + +Building a compartment +^^^^^^^^^^^^^^^^^^^^^^ + +.. automodule:: testRdesigneur + :members: + +Inserting Spines and viewing +^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +.. automodule:: insertSpines + :members: + +Proceeding with Spines +^^^^^^^^^^^^^^^^^^^^^^ + +.. automodule:: testWigglySpines + :members: diff --git a/docs/source/user/py/rdesigneur/rdesigneur/rdes.rst b/docs/source/user/py/rdesigneur/rdesigneur/rdes.rst new file mode 100644 index 00000000..161ff2f9 --- /dev/null +++ b/docs/source/user/py/rdesigneur/rdesigneur/rdes.rst @@ -0,0 +1,1964 @@ +========================================== +Rdesigneur: Building multiscale models +========================================== + +| Author: Upi Bhalla +| Date: Aug 26 2016, +| Last-Updated: July 31 2018 +| By: Upi Bhalla + +------------------------------ + +Contents +-------- + +.. contents:: + :depth: 3 + +Introduction +------------ + +**Rdesigneur** (Reaction Diffusion and Electrical SIGnaling in NEURons) +is an interface to the multiscale modeling capabilities in MOOSE. It is +designed to build models incorporating biochemical signaling pathways in +dendrites and spines, coupled to electrical events in neurons. +Rdesigneur assembles models from predefined parts: it delegates the +details to specialized model definition formats. Rdesigneur combines one +or more of the following cell parts to build models: + +- Neuronal morphology +- Dendritic spines +- Ion channels +- Reaction systems +- Adaptors that couple between these for multiscale models + +It also folds in simulation input and output + +- Time-series stimuli for molecular concentration change and reaction rates +- Current and voltage clamp +- Synaptic input. +- Time-series plots +- File dumps +- 3-D neuronal graphics + +Rdesigneur's main role is to specify how these are put together, +including assigning parameters for the model. Using Rdesigneur one can compactly +and quickly put together quite complex multiscale models. + +Quick Start +----------- + +Here we provide a few use cases, building up from a minimal model to a +reasonably complete multiscale model spanning chemical and electrical +signaling. The files for these examples are also available in +``moose-examples/tutorials/Rdesigneur``, and the file names are mentioned +as we go along. + +Bare Rdesigneur: single passive compartment +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex1_minimalModel.py* + +If we don't provide any arguments at all to the Rdesigneur, it makes a +model with a single passive electrical compartment in the MOOSE path +``/model/elec/soma``. Here is how to do this: + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur() + rdes.buildModel() + +To confirm that it has made a compartment with some default values we +can add a line: + +:: + + moose.showfields( rdes.soma ) + +This should produce the output: + +:: + + [ /model[0]/elec[0]/soma[0] ] + diameter = 0.0005 + fieldIndex = 0 + Ra = 7639437.26841 + y0 = 0.0 + Rm = 424413.177334 + index = 0 + numData = 1 + inject = 0.0 + initVm = -0.065 + Em = -0.0544 + y = 0.0 + numField = 1 + path = /model[0]/elec[0]/soma[0] + dt = 0.0 + tick = -2 + z0 = 0.0 + name = soma + Cm = 7.85398163398e-09 + x0 = 0.0 + Vm = -0.06 + className = ZombieCompartment + idValue = 465 + length = 0.0005 + Im = 1.3194689277e-08 + x = 0.0005 + z = 0.0 + +Simulate and display current pulse to soma +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex2.0_currentPulse.py* + +A more useful script would run and display the model. Rdesigneur can +help with the stimulus and the plotting. This simulation has the same +passive compartment, and current is injected as the simulation runs. +This script displays the membrane potential of the soma as it charges +and discharges. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + stimList = [['soma', '1', '.', 'inject', '(t>0.1 && t<0.2) * 2e-8']], + plotList = [['soma', '1', '.', 'Vm', 'Soma membrane potential']], + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +The *stimList* defines a stimulus. Each entry has five arguments: + +:: + + `[region_in_cell, region_expression, moose_object, parameter, expression_string]` + +- ``region_in_cell`` specifies the objects to stimulate. Here it is + just the soma. +- ``region_expression`` specifies a geometry based calculation to + decide whether to apply the stimulus. The value must be >0 for the + stimulus to be present. Here it is just 1. ``moose_object`` specifies + the simulation object to operate upon during the stimulus. Here the + ``.`` means that it is the soma itself. In other models it might be a + channel on the soma, or a synapse, and so on. +- ``parameter`` specifies the simulation parameter on the moose object + that the stimulus will modify. Here it is the injection current to + the soma compartment. +- ``expression_string`` calculates the value of the parameter, + typically as a function of time. Here we use the function + ``(t>0.1 && t<0.2) * 2e-8`` which evaluates as 2e-8 between the times + of 0.1 and 0.2 seconds. + +To summarise this, the *stimList* here means *inject a current of 20nA +to the soma between the times of 0.1 and 0.2 s*. + +The *plotList* defines what to plot. It has a similar set of arguments: + +:: + + `[region_in_cell, region_expression, moose_object, parameter, title_of_plot]` + +These mean the same thing as for the stimList except for the title of +the plot. + +The *rdes.display()* function causes the plots to be displayed. + +.. figure:: ../../../../images/rdes2_passive_squid.png + :alt: Plot for current input to passive compartment + + Plot for current input to passive compartment + +When we run this we see an initial depolarization as the soma settles +from its initial -65 mV to a resting Em = -54.4 mV. These are the +original HH values, see the example above. At t = 0.1 seconds there is +another depolarization due to the current injection, and at t = 0.2 +seconds this goes back to the resting potential. + +Simulate and display voltage clamp stimulus to soma +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex2.1_vclamp.py* + +This model introduces the voltage clamp stimulus on a passive compartment. +As before, we add a few lines to define the stimulus and plot. +This script displays both the membrane potential, and the holding current +of the voltage clamp circuit as +it charges and discharges the passive compartment model. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + stimList = [['soma', '1', '.', 'vclamp', '-0.065 + (t>0.1 && t<0.2) * 0.02' ]], + plotList = [ + ['soma', '1', '.', 'Vm', 'Soma membrane potential'], + ['soma', '1', 'vclamp', 'current', 'Soma holding current'], + ] + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +Here the *stimList* line tells the system to deliver a voltage clamp (vclamp) +on the soma, starting at -65 mV and jumping up by 20 mV between 0.1 and 0.2 +seconds. The *plotList* now includes two entries, and will generate two plots. +The first is for plotting the soma membrane potential, just to be sure that +the voltage clamp is doing its job. + +.. figure:: ../../../../images/ex2.1_vclamp_a.png + :alt: Plot for membrane potential in voltage clamp + + Plot for membrane potential in voltage clamp + +The second graph plots the holding current. Note the capacitive transients. + +.. figure:: ../../../../images/ex2.1_vclamp_b.png + :alt: Plot for holding current for voltage clamp + + Plot for holding current for voltage clamp + +HH Squid model in a single compartment +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.0_squid_currentPulse.py* + +Here we put the Hodgkin-Huxley squid model channels into a passive +compartment. The HH channels are predefined as prototype channels for +Rdesigneur, + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ]], + stimList = [['soma', '1', '.', 'inject', '(t>0.1 && t<0.2) * 1e-8' ]], + plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']] + ) + + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +Here we introduce two new model specification lines: + +- **chanProto**: This specifies which ion channels will be used in the + model. Each entry here has two fields: the source of the channel + definition, and (optionally) the name of the channel. In this example + we specify two channels, an Na and a K channel using the original + Hodgkin-Huxley parameters. As the source of the channel definition we + use the name of the Python function that builds the channel. The + *make\_HH\_Na()* and *make\_HH\_K()* functions are predefined but we + can also specify our own functions for making prototypes. We could + also have specified the channel prototype using the name of a channel + definition file in ChannelML (a subset of NeuroML) format. +- **chanDistrib**: This specifies *where* the channels should be placed + over the geometry of the cell. Each entry in the chanDistrib list + specifies the distribution of parameters for one channel using four + entries: + + ``[object_name, region_in_cell, parameter, expression_string]`` + + In this case the job is almost trivial, since we just have a single + compartment named *soma*. So the line + + ``['Na', 'soma', 'Gbar', '1200' ]`` + + means *Put the Na channel in the soma, and set its maximal + conductance density (Gbar) to 1200 Siemens/m^2*. + +As before we apply a somatic current pulse. Since we now have HH +channels in the model, this generates action potentials. + +.. figure:: ../../../../images/rdes3_squid.png + :alt: Plot for HH squid simulation + + Plot for HH squid simulation + +There are several interesting things to do with the model by varying stimulus +parameters: + + - Change injection current. + - Put in a protocol to get rebound action potential. + - Put in a current ramp, and run it for a different duration + - Put in a frequency chirp, and see how the squid model is tuned + to a certain frequency range. + - Modify channel or passive parameters. See if it still fires. + - Try the frequency chirp on the cell with parameters changed. Does + the tuning change? + + +HH Squid model with voltage clamp +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.1_squid_vclamp.py* + +This is the same squid model, but now we add a voltage clamp to the squid +and monitor the holding current. This stimulus line is identical to ex2.1. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ]], + stimList = [['soma', '1', '.', 'vclamp', '-0.065 + (t>0.1 && t<0.2) * 0.02' ]], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['soma', '1', 'vclamp', 'current', 'Soma holding current'] + ] + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +Here we see the classic HH current response, a downward brief deflection due to +the Na channel, and a slower upward sustained current due to the K delayed +rectifier. + +.. figure:: ../../../../images/ex3.1_squid_vclamp.png + :alt: Plot for HH squid voltage clamp pulse. + + Plot for HH squid voltage clamp pulse. + +Here are some suggestions for further exploration: + + - Monitor individual channel currents through additional plots. + - Convert this into a voltage clamp series. Easiest way to do this is + to complete the rdes.BuildModel, then delete the Function object + on the */model/elec/soma/vclamp*. Now you can simply set the 'command' + field of the vclamp in a for loop, going from -ve to +ve voltages. + Remember, SI units. You may wish to capture the plot vectors each + cycle. The plot vectors are accessed by something like + + ``moose.element( '/model/graphs/plot1' ).vector`` + + +HH Squid model in an axon +~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.2_squid_axon_propgn.py* + +Here we put the Hodgkin-Huxley squid model into a long compartment that +is subdivided into many segments, so that we can watch action potentials +propagate. Most of this example is boilerplate code to build a spiral +axon. There is a short *rdesigneur* segment that takes the spiral axon +prototype and populates it with channels, and sets up the display. Later +examples will show you how to read morphology files to specify the +neuronal geometry. + +:: + + import numpy as np + import moose + import pylab + import rdesigneur as rd + + numAxonSegments = 200 + comptLen = 10e-6 + comptDia = 1e-6 + RM = 1.0 + RA = 10.0 + CM = 0.01 + + def makeAxonProto(): + axon = moose.Neuron( '/library/axon' ) + prev = rd.buildCompt( axon, 'soma', RM = RM, RA = RA, CM = CM, dia = 10e-6, x=0, dx=comptLen) + theta = 0 + x = comptLen + y = 0.0 + + for i in range( numAxonSegments ): + dx = comptLen * np.cos( theta ) + dy = comptLen * np.sin( theta ) + r = np.sqrt( x * x + y * y ) + theta += comptLen / r + compt = rd.buildCompt( axon, 'axon' + str(i), RM = RM, RA = RA, CM = CM, x = x, y = y, dx = dx, dy = dy, dia = comptDia ) + moose.connect( prev, 'axial', compt, 'raxial' ) + prev = compt + x += dx + y += dy + + return axon + + moose.Neutral( '/library' ) + makeAxonProto() + + rdes = rd.rdesigneur( + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + cellProto = [['elec','axon']], + chanDistrib = [ + ['Na', '#', 'Gbar', '1200' ], + ['K', '#', 'Gbar', '360' ]], + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.2) * 2e-11' ]], + plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']], + moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] + ) + + rdes.buildModel() + moose.reinit() + + rdes.displayMoogli( 0.00005, 0.05, 0.0 ) + +.. figure:: ../../../../images/ex3.2_axon_propagating_AP.png + :alt: Axon with propagating action potential + + Axon with propagating action potential + +Note how we explicitly create the prototype axon on '/library', and then +specify it using the *cellProto* line in the rdesigneur. The moogList +specifies the 3-D display. See below for how to set up and use these +displays. + +Action potential collision in HH Squid axon model +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.3_AP_collision.py* + +This is identical to the previous example, except that now we deliver current +injection at at two points, the soma and a point along the axon. The modified +stimulus line is: + +:: + + ... + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.2) * 2e-11' ], + ['axon100', '1', '.', 'inject', '(t>0.01 && t<0.2) * 3e-11' ]], + ... + +Watch how the AP is triggered bidirectionally from the stimulus point on the +100th segment of the axon, and observe what happens when two action potentials +bump into each other. + +.. figure:: ../../../../images/ex3.3_AP_collision.png + :alt: Colliding action potentials + + Colliding action potentials + + + +HH Squid model in a myelinated axon +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex3.4_myelinated_axon.py* + +This is a curious cross-species chimera model, where we embed the HH +equations into a myelinated example model. As for the regular axon +above, most of the example is boilerplate setup code. Note how we +restrict the HH channels to the nodes of Ranvier using a conditional +test for the diameter of the axon segment. + +:: + + import numpy as np + import moose + import pylab + import rdesigneur as rd + + numAxonSegments = 405 + nodeSpacing = 100 + comptLen = 10e-6 + comptDia = 2e-6 # 2x usual + RM = 100.0 # 10x usual + RA = 5.0 + CM = 0.001 # 0.1x usual + + nodeDia = 1e-6 + nodeRM = 1.0 + nodeCM = 0.01 + + def makeAxonProto(): + axon = moose.Neuron( '/library/axon' ) + x = 0.0 + y = 0.0 + prev = rd.buildCompt( axon, 'soma', RM = RM, RA = RA, CM = CM, dia = 10e-6, x=0, dx=comptLen) + theta = 0 + x = comptLen + + for i in range( numAxonSegments ): + r = comptLen + dx = comptLen * np.cos( theta ) + dy = comptLen * np.sin( theta ) + r = np.sqrt( x * x + y * y ) + theta += comptLen / r + if i % nodeSpacing == 0: + compt = rd.buildCompt( axon, 'axon' + str(i), RM = nodeRM, RA = RA, CM = nodeCM, x = x, y = y, dx = dx, dy = dy, dia = nodeDia ) + else: + compt = rd.buildCompt( axon, 'axon' + str(i), RM = RM, RA = RA, CM = CM, x = x, y = y, dx = dx, dy = dy, dia = comptDia ) + moose.connect( prev, 'axial', compt, 'raxial' ) + prev = compt + x += dx + y += dy + + return axon + + moose.Neutral( '/library' ) + makeAxonProto() + + rdes = rd.rdesigneur( + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + cellProto = [['elec','axon']], + chanDistrib = [ + ['Na', '#', 'Gbar', '12000 * (dia < 1.5e-6)' ], + ['K', '#', 'Gbar', '3600 * (dia < 1.5e-6)' ]], + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.2) * 1e-10' ]], + plotList = [['soma,axon100,axon200,axon300,axon400', '1', '.', 'Vm', 'Membrane potential']], + moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] + ) + + rdes.buildModel() + + for i in moose.wildcardFind( "/model/elec/#/Na" ): + print i.parent.name, i.Gbar + + moose.reinit() + + rdes.displayMoogli( 0.00005, 0.05, 0.0 ) + +When you run the example, keep an eye out for a few things: + +- **saltatory conduction:** This is the way the action potential jumps + from one node of Ranvier to the next. Between the nodes it is just + passive propagation. +- **Failure to propagate:** Observe that the second and fourth action + potentials fails to trigger propagation along the axon. Here we have + specially tuned the model properties so that this happens. With a + larger RA of 10.0, the model will be more reliable. +- **Speed:** Compare the propagation speed with the previous, + unmyelinated axon. Note that the current model is larger! + +.. figure:: ../../../../images/rdes3.2_myelinated_axon.png + :alt: Myelinated axon with propagating action potential + + Myelinated axon with propagating action potential + +Alternate (non-squid) way to define soma +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex4.0_scaledSoma.py* + +The default HH-squid axon is not a very convincing soma. Rdesigneur offers a +somewhat more general way to define the soma in the cell prototype line. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + # cellProto syntax: ['somaProto', 'name', dia, length] + cellProto = [['somaProto', 'soma', 20e-6, 200e-6]], + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ]], + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.05) * 1e-9' ]], + plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']], + moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] + ) + + rdes.buildModel() + soma = moose.element( '/model/elec/soma' ) + print( 'Soma dia = {}, length = {}'.format( soma.diameter, soma.length ) ) + moose.reinit() + + rdes.displayMoogli( 0.0005, 0.06, 0.0 ) + +Here the crucial line is the *cellProto* line. There are four arguments here: + + ``['somaProto', 'name', dia, length]`` + + - The first argument tells the system to use a prototype soma, that is + a single cylindrical compartment. + - The second argument is the name to give the cell. + - The third argument is the diameter. Note that this is a double, + not a string. + - The fourth argument is the length of the cylinder that makes up the + soma. This too is a double, not a string. + The cylinder is oriented along the x axis, with one end at (0,0,0) + and the other end at (length, 0, 0). + +This is what the soma looks like: + +.. figure:: ../../../../images/ex4.0_scaledSoma.png + :alt: Image of soma. + + Image of soma. + +It a somewhat elongated soma, being a cylinder 10 times as long as it is wide. + +Ball-and-stick model of a neuron +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex4.1_ballAndStick.py* + +A somewhat more electrically reasonable model of a neuron has a soma and a +single dendrite, which can itself be subdivided into segments so that it +can exhibit voltage gradients, have channel and receptor distributions, +and so on. This is accomplished in *rdesigneur* using a variant of the +cellProto syntax. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + # cellProto syntax: ['ballAndStick', 'name', somaDia, somaLength, dendDia, dendLength, numDendSegments ] + # The numerical arguments are all optional + cellProto = [['ballAndStick', 'soma', 20e-6, 20e-6, 4e-6, 500e-6, 10]], + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ], + ['Na', 'dend#', 'Gbar', '400' ], + ['K', 'dend#', 'Gbar', '120' ] + ], + stimList = [['soma', '1', '.', 'inject', '(t>0.01 && t<0.05) * 1e-9' ]], + plotList = [['soma', '1', '.', 'Vm', 'Membrane potential']], + moogList = [['#', '1', '.', 'Vm', 'Vm (mV)']] + ) + rdes.buildModel() + soma = moose.element( '/model/elec/soma' ) + moose.reinit() + rdes.displayMoogli( 0.0005, 0.06, 0.0 ) + +As before, the *cellProto* line plays a key role. Here, because we have a long +dendrite, we have a few more numerical arguments. All of the numerical +arguments are optional. + + ``['ballAndStick', 'name', somaDia, somaLength, dendDia, dendLength, numDendSegments ]`` + + - The first argument specifies a ballAndStick model: soma + dendrite. + The length of the dendrite is along the x axis. The soma is a single + segment, the dendrite can be more than one. + - The second argument is the name to give the cell. + - Arg 3 is the soma diameter, as a double. + - Arg 4 is the length of the soma, as a double. + - Arg 5 is the diameter of the dendrite, as a double. + - Arg 6 is the length of the dendrite, as a double. + - Arg 7 is the number of segments into which the dendrite should be + divided. This is a positive integer greater than 0. + +This is what the ball-and-stick cell looks like: + +.. figure:: ../../../../images/ex4.1_ballAndStick.png + :alt: Image of ball and stick cell. + + Image of ball and stick cell. + +In this version of the 3-D display, the soma is displayed as a bit blocky +rather than round. +Note that we have populated the dendrite with Na and K channels and it has +10 segments, so it supports action potential propagation. The snapshot +illustrates this. + +Here are some things to try: + + - Change the length of the dendrite + - Change the number of segments. Explore what it does to accuracy. How + will you know that you have an accurate model? + +Benchmarking simulation speed +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex4.2_ballAndStickSpeed.py* + +The ball-and-stick model gives us an opportunity to check out your system +and how computation scales with model size. While we're at it we'll deliver +a sine-wave stimulus just to see how it can be done. The test model is +very similar to the previous one, ex4.1: + +:: + + import moose + import pylab + import rdesigneur as rd + import time + rdes = rd.rdesigneur( + cellProto = [['ballAndStick', 'soma', 20e-6, 20e-6, 4e-6, 500e-6, 10]], + chanProto = [['make_HH_Na()', 'Na'], ['make_HH_K()', 'K']], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '1200' ], + ['K', 'soma', 'Gbar', '360' ], + ['Na', 'dend#', 'Gbar', '400' ], + ['K', 'dend#', 'Gbar', '120' ] + ], + stimList = [['soma', '1', '.', 'inject', '(1+cos(t/10))*(t>31.4 && t<94) * 0 + .2e-9' ]], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['soma', '1', '.', 'inject', 'Stimulus current'] + ], + ) + rdes.buildModel() + runtime = 100 + moose.reinit() + t0= time.time() + moose.start( runtime ) + print "Real time to run {} simulated seconds = {} seconds".format( runtime, time + .time() - t0 ) + + rdes.display() + +While the real point of this simulation is to check speed, it does illustrate +how to deliver a stimulus shaped like a sine wave: + +.. figure:: ../../../../images/ex4.2_sine_stim.png + :alt: Sine-wave shaped stimulus. + + Sine-wave shaped stimulus. + +We can see that the cell has a peculiar response to this. Not surprising, as +the cell uses HH channels which are not good at rate coding. + +.. figure:: ../../../../images/ex4.2_spiking.png + :alt: Spiking response to sine-wave shaped stimulus. + + Spiking response to sine-wave shaped stimulus. + +As a reference point, on a fast 2018 laptop this benchmark runs in 5.4 seconds. +Some more things to try for benchmarking: + + - How slow does it get if you turn on the 3-D moogli display? + - Is it costlier to run 2 compartments for 1000 seconds, or + 200 compartments for 10 seconds? + +Synaptic stimulus: random (Possion) +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex5.0_random_syn_input.py* + +In this example we introduce synaptic inputs: both the receptor channels +and a means for stimulating the channels. We do this in a passive model. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + cellProto = [['somaProto', 'soma', 20e-6, 200e-6]], + chanProto = [['make_glu()', 'glu']], + chanDistrib = [['glu', 'soma', 'Gbar', '1' ]], + stimList = [['soma', '0.5', 'glu', 'randsyn', '50' ]], + # Deliver stimulus to glu synapse on soma, at mean 50 Hz Poisson. + plotList = [['soma', '1', '.', 'Vm', 'Soma membrane potential']] + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +Most of the rdesigneur setup uses familiar syntax. + +Novelty 1: we use the default built-in glutamate receptor model, in chanProto. +We just put it in the soma at a max conductance of 1 Siemen/sq metre. + +Novelty 2: We specify a new kind of stimulus in the stimList: + + ``['soma', '0.5', 'glu', 'randsyn', '50' ]`` + +Most of this is similar to previous stimLists. + + - arg0: 'soma': the named compartments in the cell to populate with + the *glu* receptor + - arg1: '0.5': Tell the system to use a uniform synaptic weight of 0.5. + This argument could be a more complicated expression incorporating + spatial arguments. Here it is just uniform. + - arg2: 'glu': Which receptor to stimulate + - arg3: 'randsyn': Apply random (Poisson) synaptic input. + - arg4: '50': Mean firing rate of the Poisson input. Note that this last + argument could be a function of time and hence is quite versatile. + +As the model has no voltage-gated channels, we do not see spiking. + +.. figure:: ../../../../images/ex5.0_random_syn_input.png + :alt: Random synaptic input with a Poisson distribution. + + Random synaptic input with a Poisson distribution. + +Things to try: Vary the rate and the weight of the synaptic input. + +Synaptic stimulus: periodic +~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex5.1_periodic_syn_input.py* + +This is almost identical to 5.0, except that the input is now perfectly +periodic. The one change is of an argument in the stimList to say +``periodicsyn`` rather than ``randsyn``. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + cellProto = [['somaProto', 'soma', 20e-6, 200e-6]], + chanProto = [['make_glu()', 'glu']], + chanDistrib = [['glu', 'soma', 'Gbar', '1' ]], + + # Deliver stimulus to glu synapse on soma, periodically at 50 Hz. + stimList = [['soma', '0.5', 'glu', 'periodicsyn', '50' ]], + plotList = [['soma', '1', '.', 'Vm', 'Soma membrane potential']] + ) + rdes.buildModel() + moose.reinit() + moose.start( 0.3 ) + rdes.display() + +As designed, we get periodically firing synaptic input. + +.. figure:: ../../../../images/ex5.1_periodic_syn_input.png + :alt: Periodic synaptic input + + Periodic synaptic input + + +Reaction system in a single compartment +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex6_chem_osc.py* + +Here we use the compartment as a place in which to embed a chemical +model. The chemical oscillator model is predefined in the rdesigneur +prototypes. Its general form is: + +:: + + s ---a---> a // s goes to a, catalyzed by a. + s ---a---> b // s goes to b, catalyzed by a. + a ---b---> s // a goes to s, catalyzed by b. + b -------> s // b is degraded irreversibly to s + +Here is the script: + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + turnOffElec = True, + diffusionLength = 1e-3, # Default diffusion length is 2 microns + chemProto = [['makeChemOscillator()', 'osc']], + chemDistrib = [['osc', 'soma', 'install', '1' ]], + plotList = [['soma', '1', 'dend/a', 'conc', 'a Conc'], + ['soma', '1', 'dend/b', 'conc', 'b Conc']] + ) + rdes.buildModel() + b = moose.element( '/model/chem/dend/b' ) + b.concInit *= 5 + moose.reinit() + moose.start( 200 ) + + rdes.display() + +In this special case we set the turnOffElec flag to True, so that +Rdesigneur only sets up chemical and not electrical calculations. This +makes the calculations much faster, since we disable electrical +calculations and delink chemical calculations from them. + +We also have a line which sets the ``diffusionLength`` to 1 mm, so that +it is bigger than the 0.5 mm squid axon segment in the default +compartment. If you don't do this the system will subdivide the +compartment into the default 2 micron voxels for the purposes of putting +in a reaction-diffusion system. We discuss this case below. + +Note how the *plotList* is done here. To remind you, each entry has five +arguments + +:: + + [region_in_cell, region_expression, moose_object, parameter, title_of_plot] + +The change from the earlier usage is that the ``moose_object`` now +refers to a chemical entity, in this example the molecule *dend/a*. The +simulator builds a default chemical compartment named *dend* to hold the +reactions defined in the *chemProto*. What we do in this plot is to +select molecule *a* sitting in *dend*, and plot its concentration. Then +we do this again for molecule *b*. + +After the model is built, we add a couple of lines to change the initial +concentration of the molecular pool *b*. Note its full path within +MOOSE: */model/chem/dend/b*. It is scaled up 5x to give rise to slowly +decaying oscillations. + +.. figure:: ../../../../images/rdes4_osc.png + :alt: Plot for single-compartment reaction simulation + + Plot for single-compartment reaction simulation + +Reaction-diffusion system +~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex7.0_spatial_chem_osc.py* + +In order to see what a reaction-diffusion system looks like, we assign the +``diffusionLength`` expression in the previous example to a much shorter +length, and add a couple of lines to set up 3-D graphics for the +reaction-diffusion product: + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + turnOffElec = True, + #This subdivides the length of the soma into 2 micron voxels + diffusionLength = 2e-6, + chemProto = [['makeChemOscillator()', 'osc']], + chemDistrib = [['osc', 'soma', 'install', '1' ]], + plotList = [['soma', '1', 'dend/a', 'conc', 'Concentration of a'], + ['soma', '1', 'dend/b', 'conc', 'Concentration of b']], + moogList = [['soma', '1', 'dend/a', 'conc', 'a Conc', 0, 360 ]] + ) + + rdes.buildModel() + bv = moose.vec( '/model/chem/dend/b' ) + bv[0].concInit *= 2 + bv[-1].concInit *= 2 + moose.reinit() + + rdes.displayMoogli( 1, 400, rotation = 0, azim = np.pi/2, elev = 0.0 ) + +This is the new value for diffusion length. + +:: + + diffusionLength = 2e-3, + +With this change we tell *rdesigneur* to use the diffusion length of 2 microns. +This happens to be the default too. The 500-micron axon segment is now +subdivided into 250 voxels, each of which has a reaction system and +diffusing molecules. +To make it more picturesque, we have added a line after the plotList, to +display the outcome in 3-D: + +:: + + moogList = [['soma', '1', 'dend/a', 'conc', 'a Conc', 0, 360 ]] + +This line says: take the model compartments defined by ``soma`` as the +region to display, do so throughout the the geometry (the ``1`` +signifies this), and over this range find the chemical entity defined by +``dend/a``. For each ``a`` molecule, find the ``conc`` and dsiplay it. +There are two optional arguments, ``0`` and ``360``, which specify the +low and high value of the displayed variable. + +In order to initially break the symmetry of the system, we change the +initial concentration of molecule b at each end of the cylinder: + +:: + + bv[0].concInit *= 2 + bv[-1].concInit *= 2 + +If we didn't do this the entire system would go through a few cycles of +decaying oscillation and then reach a boring, spatially uniform, steady +state. Try putting an initial symmetry break elsewhere to see what +happens. + +To display the concenctration changes in the 3-D soma as the simulation +runs, we use the line + +:: + + rdes.displayMoogli( 1, 400, rotation = 0, azim = np.pi/2, elev = 0.0 ) + +The arguments mean: *displayMoogli( frametime, runtime, rotation, azimuth, elevation )* +Here, + +:: + + frametime = time by which simulation advances between display updates + runtime = Total simulated time + rotation = angle by which display rotates in each frame, in radians. + azimuth = Azimuth angle of view point, in radians + elevation = elevation angle of view point, in radians + +When we run this, we first get a 3-D display with the oscillating +reaction-diffusion system making its way inward from the two ends. After +the simulation ends the plots for all compartments for the whole run +come up. + +.. figure:: ../../../../images/rdes5_reacdiff.png + :alt: Display for oscillatory reaction-diffusion simulation + + Display for oscillatory reaction-diffusion simulation + +For those who would rather use the much simpler matplotlib 3-D display option, +this is what the same simulation looks like: + +.. figure:: ../../../../images/ex7.0_spatial_chem_osc.png + :alt: Display for oscillatory reac-diff simulation using matplotlib + + Display for oscillatory reac-diff simulation using matplotlib + +Primer on using the 3-D MOOGLI display +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +There are two variants of the MOOGLI display. The first, named Moogli, +uses OpenGL and OpenSceneGraph. It is fast to display, slow to load, and +difficult to compile. It produces much better looking 3-D graphics. +The second is a fallback interface using mplot3d, which is a library of +Matplotlib and so should be generally available. It is slower to display, +faster to load, but needs no special compilation. It uses stick graphics +and though it conveys much the same information, isn't as nice to look at +as the original Moogli. Its controls are more or less the same but less +smooth than the original Moogli. + +Here is a short primer on the 3-D display controls. + +- *Roll, pitch, and yaw*: Use the letters *r*, *p*, and *y*. To rotate + backwards, use capitals. +- *Zoom out and in*: Use the *,* and *.* keys, or their upper-case + equivalents, *<* and *>*. Easier to remember if you think in terms of + the upper-case. +- *Left/right/up/down*: Arrow keys. +- *Quit*: control-q or control-w. +- You can also use the mouse or trackpad to control most of the above. +- By default rdesigneur gives Moogli a small rotation each frame. It is + the *rotation* argument in the line: + + ``displayMoogli( frametime, runtime, rotation )`` + +These controls operate over and above this rotation, but the rotation +continues. If you set the rotation to zero you can, with a suitable +flick of the mouse, get the image to rotate in any direction you choose +as long as the window is updating. + +Diffusion of a single molecule +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex7.1_diffusive_gradient.py* + +This is simply a test model to confirm that simple diffusion happens as +expected. While the model is just that of a single pool, we spend a few lines +taking snapshots of the spatial profile of this pool. + +:: + + import moose + import pylab + import re + import rdesigneur as rd + import matplotlib.pyplot as plt + import numpy as np + + moose.Neutral( '/library' ) + moose.Neutral( '/library/diffn' ) + moose.CubeMesh( '/library/diffn/dend' ) + A = moose.Pool( '/library/diffn/dend/A' ) + A.diffConst = 1e-10 + + rdes = rd.rdesigneur( + turnOffElec = True, + diffusionLength = 1e-6, + chemProto = [['diffn', 'diffn']], + chemDistrib = [['diffn', 'soma', 'install', '1' ]], + moogList = [ + ['soma', '1', 'dend/A', 'conc', 'A Conc', 0, 360 ] + ] + ) + rdes.buildModel() + + rdes.displayMoogli( 1, 2, rotation = 0, azim = -np.pi/2, elev = 0.0, block = False ) + av = moose.vec( '/model/chem/dend/A' ) + for i in range(10): + av[i].concInit = 1 + moose.reinit() + plist = [] + for i in range( 20 ): + plist.append( av.conc[:200] ) + moose.start( 2 ) + fig = plt.figure( figsize = ( 10, 12 ) ) + plist = np.array( plist ).T + plt.plot( range( 0, 200 ), plist ) + plt.xlabel( "position ( microns )" ) + plt.ylabel( "concentration ( mM )" ) + plt.show( block = True ) + + +Here are the snapshots, overlaid in a single plot: + +.. figure:: ../../../../images/ex7.1_diffusive_gradient.png + :alt: Display of how a molecule A spreads through the inter + + Display for simple time-series of spread of a diffusing molecule + using matplotlib + + +Multiscale models: single compartment +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex8.0_multiscale_KA_phosph.py* + +The next few examples are for the multiscale modeling that is the main purpose +of rdesigneur and MOOSE as a whole. These are 'toy' examples in that the +chemical and electrical signaling is simplified, but they exhibit dynamics +that are of real interest. + +The first example is of a bistable system where the feedback loop comprises of + +`calcium influx -> chemical activity -> channel modulation -> electrical activity -> calcium influx.` + +Calcium enters through voltage gated calcium channels, leads to enzyme +activation and phosphorylation of a KA channel, which depolarizes the cell, +so it spikes more, so more calcium enters. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + elecDt = 50e-6, + chemDt = 0.002, + chemPlotDt = 0.002, + # cellProto syntax: ['somaProto', 'name', dia, length] + cellProto = [['somaProto', 'soma', 12e-6, 12e-6]], + chemProto = [['./chem/chanPhosphByCaMKII.g', 'chem']], + chanProto = [ + ['make_Na()', 'Na'], + ['make_K_DR()', 'K_DR'], + ['make_K_A()', 'K_A' ], + ['make_Ca()', 'Ca' ], + ['make_Ca_conc()', 'Ca_conc' ] + ], + # Some changes to the default passive properties of the cell. + passiveDistrib = [['.', 'soma', 'CM', '0.03', 'Em', '-0.06']], + chemDistrib = [['chem', 'soma', 'install', '1' ]], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '300' ], + ['K_DR', 'soma', 'Gbar', '250' ], + ['K_A', 'soma', 'Gbar', '200' ], + ['Ca_conc', 'soma', 'tau', '0.0333' ], + ['Ca', 'soma', 'Gbar', '40' ] + ], + adaptorList = [ + [ 'dend/chan', 'conc', 'K_A', 'modulation', 0.0, 70 ], + [ 'Ca_conc', 'Ca', 'dend/Ca', 'conc', 0.00008, 2 ] + ], + # Give a + pulse from 5 to 7s, and a - pulse from 20 to 21. + stimList = [['soma', '1', '.', 'inject', '((t>5 && t<7) - (t>20 && t<21)) * 1.0e-12' ]], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['soma', '1', '.', 'inject', 'current inj'], + ['soma', '1', 'K_A', 'Ik', 'K_A current'], + ['soma', '1', 'dend/chan', 'conc', 'Unphosph K_A conc'], + ['soma', '1', 'dend/Ca', 'conc', 'Chem Ca'], + ], + ) + + rdes.buildModel() + moose.reinit() + moose.start( 30 ) + + rdes.display() + +There is only one fundamentally new element in this script: + +**adaptor List:** `[source, sourceField, dest, destField, offset, scale]` +The adaptor list maps between molecular, electrical or even structural +quantities in the simulation. At present it is linear mapping, in due course +it may evolve to an arbitrary function. + +The two adaptorLists in the above script do the following: + + ``[ 'dend/chan', 'conc', 'K_A', 'modulation', 0.0, 70 ]``: + +Use the concentration of the 'chan' molecule in the 'dend' compartment, +to modulate the conductance of the 'K_A' channel such that the basal +conductance is zero and 1 millimolar of 'chan' results in a conductance that is +70 times greater than the baseline conductance of the channel, *Gbar*. + +It is advisable to use the field *'modulation'* on channels undergoing scaling, +rather than to directly assign the conductance *'Gbar'*. This is because +*Gbar* is an absolute conductance, and therefore it is scaled to the area of +the electrical segment. This makes it difficult to keep track of. *Modulation* +is a simple multiplier term onto *Gbar*, and is therefore easier to work with. + + ``[ 'Ca_conc', 'Ca', 'dend/Ca', 'conc', 0.00008, 2 ]``: + +Use the concentration of *Ca* as computed in the electrical model, to assign +the concentration of molecule *Ca* on the dendrite compartment. There is a +basal level of 80 nanomolar, and every unit of electrical *Ca* maps to 2 +millimolar of chemical *Ca*. + +The arguments in the adaptorList are: + + * **Source and Dest**: Strings. These can be either a molecular or an + electrical object. To identify a molecular object, it should be + prefixed with the name of the chemical compartment, which is one + of *dend, spine, psd*. Thus *dend/chan* specifies a molecule + named *'chan'* sitting in the *'dend'* compartment. + + To identify an electrical object, just pass in its path, + such as '.' or *'Ca_conc'*. + + Note that the adaptors do **not** need to know anything about the + location. It is assumed that the adaptors do their job wherever + the specified source and dest coexist. There is a subtlety here + due to the different length and time scales. The rule of thumb + is that the adaptor averages whichever one is subdivided more finely. + + - Example 1: Molecules are typically spatially partitioned into + short voxels (micron-scale) compared to typical 100-micron + electrical + segments. So an adaptor going from molecules to, say, channel + conductance, would average all the molecular voxels that fit + in the electrical segment. + - Example 2: Electrical activity is typically much faster than + chemical. + So an adaptor going from an electrical entity (Ca computed from + channel opening) to molecules (Chemical Ca concentration) would + average all the time-steps between updates to the molecule. + + * **Fields**: Strings. These are simply the field names on the + objects coupled by the adaptors. + + * **offset and scale**: Doubles. At present the adaptor is just a + straight-line conversion, obeying ``y = mx + c``. The computed + output is *y*, averaged input is *x*, offset is *c* and scale is *m*. + +There is a handy new line to specify cellular passive properties: + +**passiveDistrib:** `['.', path, field, value, field, value, ... ]`, + + * '.': This is just a placeholder. + * path: String. Specifies the object whose parameters are to be changed. + * field: String. Name of the field on the object. + * value: String, that is the value has to be enclosed in quotes. The + value to be assigned to the object. + +With these in place, the model behavior is rather neat. It starts out silent, +then we apply 2 seconds of +ve current injection. + +.. figure:: ../../../../images/ex8.0_multiscale_currInj.png + :alt: Current injection stimuli for multiscale model. + + Current injection stimuli for multiscale model. + +The cell fires briskly, and keeps firing even when the current injection +drops to zero. + +.. figure:: ../../../../images/ex8.0_multiscale_cell_spiking.png + :alt: Firing responses of cell with multiscale signaling. + + Firing responses of cell with multiscale signaling. + +The firing of the neuron leads to Ca influx. + +.. figure:: ../../../../images/ex8.0_multiscale_Ca.png + :alt: Calcium buildup in cell due to firing. + + Calcium buildup in cell due to firing. + +The chemical reactions downstream of Ca lead to phosphorylation of the K_A +channel. Only the unphosphorylated K_A channel is active, so the net effect +is to reduce K_A conductance while the Ca influx persists. + +.. figure:: ../../../../images/ex8.0_multiscale_KA_conc.png + :alt: Removal of KA channel due to phosphorylation. + + Removal of KA channel due to phosphorylation. + + +Since the phosphorylated form has low conductance, the cell becomes more +excitable and keeps firing even when the current injection is stopped. It takes +a later, -ve current injection to turn the firing off again. + +Suggestions for things to do with the model: + + - Vary the adaptor settings, which couple electrical to chemical + signaling and vice versa. + - Play with the channel densities + - Open the chem model in moosegui and vary its parameters too. + +Multiscale model spanning PSD, spine head and dendrite +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex8.2_multiscale_glurR_phosph_3compt.py* + +This is another multiscale model on similar lines to 8.0. It is structurally +and computationally more complicated, because the action is distributed between +spines and dendrites, but formally it does the same thing: it turns on and +stays on after a strong stimulus, due to phosphorylation of a (receptor) +channel leading to greater excitability. + +`calcium influx -> chemical activity -> channel modulation -> electrical activity -> calcium influx.` + +The model is bistable as long as synaptic input keeps coming along at a basal +rate, in this case 1 Hz. + +Here we have two new lines, to do with addition of spines. These are discussed +in detail in a later example. For now it is enough to know that the +**spineProto** line defines one of the prototype spines to be used to put into +the model, and the **spineDistrib** line tells the system where to put them, +and how widely to space them. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + elecDt = 50e-6, + chemDt = 0.002, + diffDt = 0.002, + chemPlotDt = 0.02, + useGssa = False, + # cellProto syntax: ['ballAndStick', 'name', somaDia, somaLength, dendDia, d + endLength, numDendSegments ] + cellProto = [['ballAndStick', 'soma', 12e-6, 12e-6, 4e-6, 100e-6, 2 ]], + chemProto = [['./chem/chanPhosph3compt.g', 'chem']], + spineProto = [['makeActiveSpine()', 'spine']], + chanProto = [ + ['make_Na()', 'Na'], + ['make_K_DR()', 'K_DR'], + ['make_K_A()', 'K_A' ], + ['make_Ca()', 'Ca' ], + ['make_Ca_conc()', 'Ca_conc' ] + ], + passiveDistrib = [['.', 'soma', 'CM', '0.01', 'Em', '-0.06']], + spineDistrib = [['spine', '#dend#', '50e-6', '1e-6']], + chemDistrib = [['chem', '#', 'install', '1' ]], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '300' ], + ['K_DR', 'soma', 'Gbar', '250' ], + ['K_A', 'soma', 'Gbar', '200' ], + ['Ca_conc', 'soma', 'tau', '0.0333' ], + ['Ca', 'soma', 'Gbar', '40' ] + ], + adaptorList = [ + [ 'psd/chan_p', 'n', 'glu', 'modulation', 0.1, 1.0 ], + [ 'Ca_conc', 'Ca', 'spine/Ca', 'conc', 0.00008, 8 ] + ], + # Syn input basline 1 Hz, and 40Hz burst for 1 sec at t=20. Syn weight + # is 0.5, specified in 2nd argument as a special case stimLists. + stimList = [['head#', '0.5','glu', 'periodicsyn', '1 + 40*(t>10 && t<11)']], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'spine/Ca', 'conc', 'Ca in Spine'], + ['#', '1', 'dend/DEND/Ca', 'conc', 'Ca in Dend'], + ['#', '1', 'spine/Ca_CaM', 'conc', 'Ca_CaM'], + ['head#', '1', 'psd/chan_p', 'conc', 'Phosph gluR'], + ['head#', '1', 'psd/Ca_CaM_CaMKII', 'conc', 'Active CaMKII'], + ] + ) + moose.seed(123) + rdes.buildModel() + moose.reinit() + moose.start( 25 ) + rdes.display() + + +This is how it works: + +This is a ball-and-stick model with a couple of spines sitting on the dendrite. +The spines get synaptic input onto NMDARs and gluRs. There is a baseline +input rate of 1 Hz thoughout, and there is a burst at 40 Hz for 1 second at +t = 10s. + +.. figure:: ../../../../images/ex8.2_Vm.png + :alt: Membrane potential responses of cell with synaptic input and multiscale signaling + + Membrane potential responses of cell with synaptic input and multiscale signaling + + +At baseline, we just have small EPSPs and little Ca influx. A burst of +strong synaptic input causes Ca entry into the spine via NMDAR. + +.. figure:: ../../../../images/ex8.2_Ca_spine.png + :alt: Calcium influx into spine. + + Calcium influx into spine. + +Ca diffuses from the spine into the dendrite and spreads. In the graph below +we see how Calcium goes into the 50-odd voxels of the dendrite. + +.. figure:: ../../../../images/ex8.2_Ca_dend.png + :alt: Calcium influx and diffusion in dendrite. + + Calcium influx and diffusion in dendrite. + + +The Ca influx into the spine +triggers activation of CaMKII and its translocation to the PSD, where +it phosphorylates and increases the conductance of gluR. We have two spines +with slightly different geometry, so the CaMKII activity differs slightly. + +.. figure:: ../../../../images/ex8.2_active_CaMKII.png + :alt: Activation of CaMKII and translocation to PSD + + Activation of CaMKII and translocation to PSD + + +Now that gluR has a greater weight, the baseline synaptic input keeps +Ca trickling in enough to keep the CaMKII active. + +Here are the reactions: + +:: + + Ca+CaM <===> Ca_CaM; Ca_CaM + CaMKII <===> Ca_CaM_CaMKII (all in + spine head, except that the Ca_CaM_CaMKII translocates to the PSD) + + chan ------Ca_CaM_CaMKII-----> chan_p; chan_p ------> chan (all in PSD) + +Suggestions: + + - Add GABAR using make_GABA(), put it on soma or dendrite. Stimulate it + after 20 s to see if you can turn off the sustained activation + - Replace the 'periodicsyn' in stimList with 'randsyn'. This gives + Poisson activity at the specified mean frequency. Does the switch + remain reliable? + - What are the limits of various parameters for this switching? You + could try basal synaptic rate, burst rate, the various scaling factors + for the adaptors, the densities of various channels, synaptic weight, + and so on. + - In real life an individual synaptic EPSP is tiny, under a millivolt. + How many synapses would you need to achieve this kind of switching? + You can play with # of synapses by altering the spacing between + spines as the third argument of spineDistrib. + +Multiscale model in which spine geometry changes due to signaling +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex8.3_spine_vol_change.py* + +This model is very similar to 8.2. The main design difference is that +*adaptor*, instead of just modulating the gluR conductance, scales the +entire spine cross-section area, with all sorts of electrical and chemical +ramifications. There are a lot of plots, to illustrate some of these outcomes. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + elecDt = 50e-6, + chemDt = 0.002, + diffDt = 0.002, + chemPlotDt = 0.02, + useGssa = False, + stealCellFromLibrary = True, # Simply move library model to use for sim + cellProto = [['ballAndStick', 'soma', 12e-6, 12e-6, 4e-6, 100e-6, 2 ]], + chemProto = [['./chem/chanPhosph3compt.g', 'chem']], + spineProto = [['makeActiveSpine()', 'spine']], + chanProto = [ + ['make_Na()', 'Na'], + ['make_K_DR()', 'K_DR'], + ['make_K_A()', 'K_A' ], + ['make_Ca()', 'Ca' ], + ['make_Ca_conc()', 'Ca_conc' ] + ], + passiveDistrib = [['.', 'soma', 'CM', '0.01', 'Em', '-0.06']], + spineDistrib = [['spine', '#dend#', '50e-6', '1e-6']], + chemDistrib = [['chem', '#', 'install', '1' ]], + chanDistrib = [ + ['Na', 'soma', 'Gbar', '300' ], + ['K_DR', 'soma', 'Gbar', '250' ], + ['K_A', 'soma', 'Gbar', '200' ], + ['Ca_conc', 'soma', 'tau', '0.0333' ], + ['Ca', 'soma', 'Gbar', '40' ] + ], + adaptorList = [ + # This scales the psdArea of the spine by # of chan_p. Note that + # the cross-section area of the spine head is identical to psdArea. + [ 'psd/chan_p', 'n', 'spine', 'psdArea', 0.1e-12, 0.01e-12 ], + [ 'Ca_conc', 'Ca', 'spine/Ca', 'conc', 0.00008, 8 ] + ], + # Syn input basline 1 Hz, and 40Hz burst for 1 sec at t=20. Syn wt=10 + stimList = [['head#', '10','glu', 'periodicsyn', '1 + 40*(t>10 && t<11)']], + plotList = [ + ['soma', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'spine/Ca', 'conc', 'Ca in Spine'], + ['#', '1', 'dend/DEND/Ca', 'conc', 'Ca in Dend'], + ['head#', '1', 'psd/chan_p', 'n', 'Amount of Phospho-chan'], + ['head#', '1', 'spine/CaMKII', 'conc', 'Conc of CaMKII in spine'], + ['head#', '1', '.', 'Cm', 'Capacitance of spine head'], + ['head#', '1', '.', 'Rm', 'Membrane res of spine head'], + ['head#', '1', '.', 'Ra', 'Axial res of spine head'], + ['head#', '1', 'glu', 'Gbar', 'Conductance of gluR'], + ['head#', '1', 'NMDA', 'Gbar', 'Conductance of NMDAR'], + ] + ) + moose.seed(123) + rdes.buildModel() + moose.reinit() + moose.start( 25 ) + rdes.display() + + +The key *adaptor* line is as follows: + +``[ 'psd/chan_p', 'n', 'spine', 'psdArea', 0.1e-12, 0.01e-12 ]`` + +Here, we use the phosphorylated *chan_p* molecule in the PSD as a proxy for +processes that control spine size. We operate on a special object called +*spine* which manages many aspects of spines in the model (see below). Here +we control the *psdArea*, which defines the cross-section area of the spine +head and by extension of the PSD too. We keep a minimum spine area of 0.1 um^2, +and a scaling factor of 0.01um^2 per phosphorylated molecule. + +The reaction system is identical to the one in *ex8.2*: + +:: + + Ca+CaM <===> Ca_CaM; Ca_CaM + CaMKII <===> Ca_CaM_CaMKII (all in + spine head, except that the Ca_CaM_CaMKII translocates to the PSD) + + chan ------Ca_CaM_CaMKII-----> chan_p; chan_p ------> chan (all in PSD) + +Rather than list all the 10 plots, here are a few to show what is going on. + +First, just the spiking activity of the cell. Here the burst of activity is +followed by a few seconds of enhanced synaptic weight, followed by subthreshold +EPSPs: + +.. figure:: ../../../../images/ex8.3_Vm.png + :alt: Membrane potential and spiking. + + Membrane potential and spiking. + +Then, we fast-forward to the amount of *chan_p* which is the molecule that +controls spine size scaling: + +.. figure:: ../../../../images/ex8.3_chan_p.png + :alt: Molecule that controles spine size + + Molecule that controles spine size + +This causes some obvious outcomes. One of them is to increase the synaptic +conductance of the glutamate receptor. The system assumes that the conductance +of all channels in the PSD scales linearly with the psdArea. + +.. figure:: ../../../../images/ex8.3_gluR.png + :alt: Conductance of glutamate receptor + + Conductance of glutamate receptor + +Here is one of several non-intuitive outcomes. Because the spine volume has +increased, the concentration of molecules in the spine is diluted out. So +the concentration of active CaMKII actually falls when the spine gets bigger. +In a more detailed model, this would be a race between the increase in spine +size and the time taken for diffusion and further reactions to replenish +CaMKII. In the current model we don't have a diffusive coupling of CaMKII to +the dendrite, so this replenishment doesn't happen. + +.. figure:: ../../../../images/ex8.3_CaMKII_spine.png + :alt: Concentration of CaMKII in the spine + + Concentration of CaMKII in the spine + +In the simulation we display several other electrical and chemical properties +that change with spine size. The diffusion properties also change since the +cross-section areas are altered. This is harder to visualize but has large +effects on coupling to the dendrite, +especially if the *shaftDiameter* is the parameter scaled by the signaling. + + +Suggestions: + + - The Spine class (instance: spine) manages several possible scaling + targets on the spine geometry: shaftLength, shaftDiameter, + headLength, headDiameter, psdArea, headVolume, totalLength. Try them + out. Think about mechanisms by which molecular concentrations might + affect each. + - When volume changes, we assume that the molecular numbers stay + fixed, so concentration changes. Except for buffered molecules, where + we assume concentration remains fixed. Use this to design a bistable + simply relying on molecules and spine geometry terms. + - Even more interesting, use it to design an oscillator. You could look + at Bhalla, BiophysJ 2011 for some ideas. + + + +Morphology: Load .swc morphology file and view it +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex9.0_load_neuronal_morphology_file.py* + +Here we build a passive model using a morphology file in the .swc file +format (as used by NeuroMorpho.org). The morphology file is predefined +for Rdesigneur and resides in the directory ``./cells``. We apply a +somatic current pulse, and view the somatic membrane potential in a +plot, as before. To make things interesting we display the morphology in +3-D upon which we represent the membrane potential as colors. + +:: + + import sys + import moose + import rdesigneur as rd + + if len( sys.argv ) > 1: + fname = sys.argv[1] + else: + fname = './cells/h10.CNG.swc' + rdes = rd.rdesigneur( + cellProto = [[fname, 'elec']], + stimList = [['soma', '1', '.', 'inject', 't * 25e-9' ]], + plotList = [['#', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'Ca_conc', 'Ca', 'Ca conc (uM)']], + moogList = [['#', '1', '.', 'Vm', 'Soma potential']] + ) + rdes.buildModel() + moose.reinit() + rdes.displayMoogli( 0.001, 0.1, rotation = 0.02 ) + + +Here the new concept is the cellProto line, which loads in the specified +cell model: + +:: + + `[ filename, cellname ]` + +The system recognizes the filename extension and builds a model from the +swc file. It uses the cellname **elec** in this example. + +We use a similar line as in the reaction-diffusion example, to build up +a Moogli display of the cell model: + +:: + + `moogList = [['#', '1', '.', 'Vm', 'Soma potential']]` + +Here we have: + +:: + + # : the path to use for selecting the compartments to display. + This wildcard means use all compartments. + 1 : The expression to use for the compartments. Again, `1` means use + all of them. + . : Which object in the compartment to display. Here we are using the + compartment itself, so it is just a dot. + Vm : Field to display + Soma potential : Title for display. + +.. figure:: ../../../../images/ex9.0_passive_cell_morpho.png + :alt: 3-D display for passive neuron + + 3-D display for passive neuron + +Suggestions: + + - The tutorial directory already has a number of pre-loaded files from + NeuroMorpho. Pass them in to ex9.0 on the command line: + + `python ex9.0_load_neuronal_morphology_file.py <morpho.swc>` + - Grab other morphology files from NeuroMorpho.org, try them out. + +Build an active neuron model by putting channels into a morphology file +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex9.1_chans_in_neuronal_morph.py* + +Here we load in a morphology file and distribute voltage-gated ion channels +over the neuron. The voltage-gated channels are obtained from a +number of channelML files, located in the ``./channels`` subdirectory. +Since we have a spatially extended neuron, we need to specify the +spatial distribution of channel densities too. + +:: + + import moose + import rdesigneur as rd + rdes = rd.rdesigneur( + chanProto = [ + ['./chans/hd.xml'], + ['./chans/kap.xml'], + ['./chans/kad.xml'], + ['./chans/kdr.xml'], + ['./chans/na3.xml'], + ['./chans/nax.xml'], + ['./chans/CaConc.xml'], + ['./chans/Ca.xml'] + ], + cellProto = [['./cells/h10.CNG.swc', 'elec']], + chanDistrib = [ \ + ["hd", "#dend#,#apical#", "Gbar", "50e-2*(1+(p*3e4))" ], + ["kdr", "#", "Gbar", "p < 50e-6 ? 500 : 100" ], + ["na3", "#soma#,#dend#,#apical#", "Gbar", "850" ], + ["nax", "#soma#,#axon#", "Gbar", "1250" ], + ["kap", "#axon#,#soma#", "Gbar", "300" ], + ["kap", "#dend#,#apical#", "Gbar", + "300*(H(100-p*1e6)) * (1+(p*1e4))" ], + ["Ca_conc", "#", "tau", "0.0133" ], + ["kad", "#soma#,#dend#,#apical#", "Gbar", "50" ], + ["Ca", "#", "Gbar", "50" ] + ], + stimList = [['soma', '1', '.', 'inject', '(t>0.02) * 1e-9' ]], + plotList = [['#', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'Ca_conc', 'Ca', 'Ca conc (uM)']], + moogList = [['#', '1', 'Ca_conc', 'Ca', 'Calcium conc (uM)', 0, 120], + ['#', '1', '.', 'Vm', 'Soma potential']] + ) + + rdes.buildModel() + + moose.reinit() + rdes.displayMoogli( 0.0002, 0.052 ) + +Here we make more extensive use of two concepts which we've already seen +from the single compartment squid model: + +1. *chanProto*: This defines numerous channels, each of which is of the + form: + + ``[ filename ]`` + + or + + ``[ filename, channelname ]`` + + or + + ``[ channelFunction(), channelname ]`` + +If the *channelname* is not specified the system uses the last part of +the channel name, before the filetype suffix. + +2. *chanDistrib*: This defines the spatial distribution of each channel + type. Each line is of a form that should be familiar now: + + ``[channelname, region_in_cell, parameter, expression_string]`` + +- The *channelname* is the name of the prototype from *chanproto*. This + is usually an ion channel, but in the example above you can also see + a calcium concentration pool defined. +- The *region\_in\_cell* is typically defined using wildcards, so that + it generalizes to any cell morphology. For example, the plain + wildcard ``#`` means to consider all cell compartments. The wildcard + ``#dend#`` means to consider all compartments with the string + ``dend`` somewhere in the name. Wildcards can be comma-separated, so + ``#soma#,#dend#`` means consider all compartments with either soma or + dend in their name. The naming in MOOSE is defined by the model file. + Importantly, in **.swc** files MOOSE generates names that respect the + classification of compartments into axon, soma, dendrite, and apical + dendrite compartments respectively. SWC files generate compartment + names such as: + + :: + + soma_<number> + dend_<number> + apical_<number> + axon_<number> + +where the number is automatically assigned by the reader. In order to +select all dendritic compartments, for example, one would use *"#dend#"* +where the *"#"* acts as a wildcard to accept any string. - The +*parameter* is usually Gbar, the channel conductance density in *S/m^2*. +If *Gbar* is zero or less, then the system economizes by not +incorporating this channel mechanism in this part of the cell. +Similarly, for calcium pools, if the *tau* is below zero then the +calcium pool object is simply not inserted into this part of the cell. - +The *expression\_string* defines the value of the parameter, such as +Gbar. This is typically a function of position in the cell. The +expression evaluator knows about several parameters of cell geometry. +All units are in metres: + +- *x*, *y* and *z* coordinates. +- *g*, the geometrical distance from the soma +- *p*, the path length from the soma, measured along the dendrites. +- *dia*, the diameter of the dendrite. +- *L*, The electrotonic length from the soma (no units). + +Along with these geometrical arguments, we make liberal use of the +ternary expressions like *p < 50e-6 ? 500 : 100* or multiplying a channel +density with a logical function or Heaviside function H(x) to set up the +channel distributions. The +expression evaluator also knows about pretty much all common algebraic, +trignometric, and logarithmic functions, should you wish to use these. + +Also note the two Moogli displays. The first is the calcium +concentration. The second is the membrane potential in each compartment. +Easy! + +.. figure:: ../../../../images/rdes8_active.png + :alt: 3-D display for active neuron + + 3-D display for active neuron + +Suggestions: + + - Try another morphology file. + - Try different channel distributions by editing the chanDistrib lines. + - There are numerous predefined channels available within Rdesigneur. + These can be defined using the following chanProto options: + + :: + + ['make_HH_Na()', 'HH_Na'] + ['make_HH_K_DR()', 'HH_K'] + ['make_Na()', 'Na'] + ['make_K_DR()', 'K_DR'] + ['make_K_A()', 'K_A'] + ['make_K_AHP()', 'K_AHP'] + ['make_K_C()', 'K_C'] + ['make_Ca()', 'Ca'] + ['make_Ca_conc()', 'Ca_conc'] + ['make_glu()', 'glu'] + ['make_GABA()', 'GABA'] + + Then the chanDistrib can refer to these channels instead. + - Deliver stimuli on the dendrites rather than the soma. + + +Build a spiny neuron from a morphology file and put active channels in it. +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +*ex9.2_spines_in_neuronal_morpho.py* + +This model is one step elaborated from the previous one, in that we now +also have dendritic spines. MOOSE lets one decorate a bare neuronal +morphology file with dendritic spines, specifying various geometric +parameters of their location. As before, we use an swc file for the +morphology, and the same ion channels and distribution. + +:: + + import moose + import pylab + import rdesigneur as rd + rdes = rd.rdesigneur( + chanProto = [ + ['./chans/hd.xml'], + ['./chans/kap.xml'], + ['./chans/kad.xml'], + ['./chans/kdr.xml'], + ['./chans/na3.xml'], + ['./chans/nax.xml'], + ['./chans/CaConc.xml'], + ['./chans/Ca.xml'] + ], + cellProto = [['./cells/h10.CNG.swc', 'elec']], + spineProto = [['makeActiveSpine()', 'spine']], + chanDistrib = [ + ["hd", "#dend#,#apical#", "Gbar", "50e-2*(1+(p*3e4))" ], + ["kdr", "#", "Gbar", "p < 50e-6 ? 500 : 100" ], + ["na3", "#soma#,#dend#,#apical#", "Gbar", "850" ], + ["nax", "#soma#,#axon#", "Gbar", "1250" ], + ["kap", "#axon#,#soma#", "Gbar", "300" ], + ["kap", "#dend#,#apical#", "Gbar", + "300*(H(100-p*1e6)) * (1+(p*1e4))" ], + ["Ca_conc", "#", "tau", "0.0133" ], + ["kad", "#soma#,#dend#,#apical#", "Gbar", "50" ], + ["Ca", "#", "Gbar", "50" ] + ], + spineDistrib = [['spine', '#dend#,#apical#', '20e-6', '1e-6']], + stimList = [['soma', '1', '.', 'inject', '(t>0.02) * 1e-9' ]], + plotList = [['#', '1', '.', 'Vm', 'Membrane potential'], + ['#', '1', 'Ca_conc', 'Ca', 'Ca conc (uM)']], + moogList = [['#', '1', 'Ca_conc', 'Ca', 'Calcium conc (uM)', 0, 120], + ['#', '1', '.', 'Vm', 'Soma potential']] + ) + + rdes.buildModel() + + moose.reinit() + rdes.displayMoogli( 0.0002, 0.023 ) + +Spines are set up in a familiar way: we first define one (or more) +prototype spines, and then distribute these around the cell. Here is the +prototype string: + +:: + + [spine_proto, spinename] + +*spineProto*: This is typically a function. One can define one's own, +but there are several predefined ones in rdesigneur. All these define a +spine with the following parameters: + +- head diameter 0.5 microns +- head length 0.5 microns +- shaft length 1 micron +- shaft diameter of 0.2 microns +- RM = 1.0 ohm-metre square +- RA = 1.0 ohm-meter +- CM = 0.01 Farads per square metre. + +Here are the predefined spine prototypes: + +- *makePassiveSpine()*: This just makes a passive spine with the + default parameters +- *makeExcSpine()*: This makes a spine with NMDA and glu receptors, and + also a calcium pool. The NMDA channel feeds the Ca pool. +- *makeActiveSpine()*: This adds a Ca channel to the exc\_spine. and + also a calcium pool. + +The spine distributions are specified in a familiar way for the first +few arguments, and then there are multiple (optional) spine-specific +parameters: + +*[spinename, region\_in\_cell, spacing, spacing\_distrib, size, +size\_distrib, angle, angle\_distrib ]* + +Only the first two arguments are mandatory. + +- *spinename*: The prototype name +- *region\_in\_cell*: Usual wildcard specification of names of + compartments in which to put the spines. +- *spacing*: Math expression to define spacing between spines. In the + current implementation this evaluates to + ``1/probability_of_spine_per_unit_length``. Defaults to 10 microns. + Thus, there is a 10% probability of a spine insertion in every + micron. This evaluation method has the drawback that it is possible + to space spines rather too close to each other. If spacing is zero or + less, no spines are inserted. +- *spacing\_distrib*: Math expression for distribution of spacing. In + the current implementation, this specifies the interval at which the + system samples from the spacing probability above. Defaults to 1 + micron. +- *size*: Linear scale factor for size of spine. All dimensions are + scaled by this factor. The default spine head here is 0.5 microns in + diameter and length. If the scale factor were to be 2, the volume + would be 8 times as large. Defaults to 1.0. +- *size\_distrib*: Range for size of spine. A random number R is + computed in the range 0 to 1, and the final size used is + ``size + (R - 0.5) * size_distrib``. Defaults to 0.5 +- *angle*: This specifies the initial angle at which the spine sticks + out of the dendrite. If all angles were zero, they would all point + away from the soma. Defaults to 0 radians. +- *angle\_distrib*: Specifies a random number to add to the initial + angle. Defaults to 2 PI radians, so the spines come out in any + direction. + +.. figure:: ../../../../images/rdes9_spiny_active.png + :alt: 3-D display for spiny active neuron + + 3-D display for spiny active neuron + +Suggestions: + + - Try different spine settings. Warning: if you put in too many spines + it will take much longer to load and run! + - Try different spine geometry layouts. + - See if you can deliver the current injection to the spine. Hint: the + name of the spine compartments is 'head#' where # is the index of the + spine. + + -- GitLab