Sequence discriminationΒΆ

../../../figures/sequence_discrimination.png
import sys
import numpy as np
import warnings

from neat import MorphLoc, CompartmentFitter
from models.L23_pyramid import getL23PyramidPas

from plotutil import *

SIM_FLAG = 1
try:
    import neuron
    from neuron import h
    from neat import NeuronSimTree, NeuronCompartmentTree, createReducedNeuronModel
except ImportError:
    warnings.warn('NEURON not available, plotting stored image', UserWarning)
    SIM_FLAG = 0


## Parameters ##################################################################
# synapse location parameters
SYN_NODE_IND = 112 # node index corresponding to dend[13] in Branco's (2010) model
SYN_XCOMP = [0., 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1.]
# AMPA synapse parameters
G_MAX_AMPA = 0.0005 # 500 pS
TAU_AMPA = 2.       # ms
# NMDA synapse parameters
G_MAX_NMDA = 8000.  # 8000 pS (Popen is 0.2 so effective gmax = 1600 pS, use 5000 pS for active model)
E_REV_NMDA = 5.     # mV
C_MG = 1.           # mM
DUR_REL = 0.5       # ms
AMP_REL = 2.        # mM

Out:

/home/docs/checkouts/readthedocs.org/user_builds/neatdend/checkouts/latest/examples/sequence_discrimination.py:23: UserWarning: NEURON not available, plotting stored image
  warnings.warn('NEURON not available, plotting stored image', UserWarning)
def plotSim(delta_ts=[0.,1.,2.,3.,4.,5.,6.,7.,8.], recompute=False):
    class BrancoSimTree(NeuronSimTree):
        '''
        Inherits from :class:`NeuronSimTree` to implement Branco model
        '''
        def __init__(self):
            super().__init__()
            phys_tree = getL23PyramidPas()
            phys_tree.__copy__(new_tree=self)

        def setSynLocs(self):
            global SYN_NODE_IND, SYN_XCOMP
            # set computational tree
            self.setCompTree()
            self.treetype = 'computational'
            # define the locations
            locs = [MorphLoc((SYN_NODE_IND, x), self, set_as_comploc=True) for x in SYN_XCOMP]
            self.storeLocs(locs, name='syn locs')
            self.storeLocs([(1., 0.5)], name='soma loc')
            # set treetype back
            self.treetype = 'original'

        def deleteModel(self):
            super(BrancoSimTree, self).deleteModel()
            self.pres = []
            self.nmdas = []

        def addAMPASynapse(self, loc, g_max, tau):
            loc = MorphLoc(loc, self)
            # create the synapse
            syn = h.AlphaSynapse(self.sections[loc['node']](loc['x']))
            syn.tau = tau
            syn.gmax = g_max
            # store the synapse
            self.syns.append(syn)

        def addNMDASynapse(self, loc, g_max, e_rev, c_mg, dur_rel, amp_rel):
            loc = MorphLoc(loc, self)
            # create the synapse
            syn = h.NMDA_Mg_T(self.sections[loc['node']](loc['x']))
            syn.gmax = g_max
            syn.Erev = e_rev
            syn.mg = c_mg
            # create the presynaptic segment for release
            pre = h.Section(name='pre %d'%len(self.pres))
            pre.insert('release_BMK')
            pre(0.5).release_BMK.dur = dur_rel
            pre(0.5).release_BMK.amp = amp_rel
            # connect
            h.setpointer(pre(0.5).release_BMK._ref_T, 'C', syn)
            # store the synapse
            self.nmdas.append(syn)
            self.pres.append(pre)

            # setpointer cNMDA[n].C, PRE[n].T_rel(0.5)
            # setpointer im_xtra(x), i_membrane(x)
            # h.setpointer(dend(seg.x)._ref_i_membrane, 'im', dend(seg.x).xtra)

        def setSpikeTime(self, syn_index, spike_time):
            spk_tm = spike_time + self.t_calibrate
            # add spike for AMPA synapse
            self.syns[syn_index].onset = spk_tm
            # add spike for NMDA synapse
            self.pres[syn_index](0.5).release_BMK.delay = spk_tm

        def addAllSynapses(self):
            global G_MAX_AMPA, TAU_AMPA, G_MAX_NMDA, E_REV_NMDA, C_MG, DUR_REL, AMP_REL
            for loc in self.getLocs('syn locs'):
                # ampa synapse
                self.addAMPASynapse(loc, G_MAX_AMPA, TAU_AMPA)
                # nmda synapse
                self.addNMDASynapse(loc, G_MAX_NMDA, E_REV_NMDA, C_MG, DUR_REL, AMP_REL)

        def setSequence(self, delta_t, centri='fugal', t0=10., tadd=100.):
            n_loc = len(self.getLocs('syn locs'))
            if centri == 'fugal':
                for ll in range(n_loc):
                    self.setSpikeTime(ll, t0 + ll * delta_t)
            elif centri == 'petal':
                for tt, ll in enumerate(range(n_loc)[::-1]):
                    self.setSpikeTime(ll, t0 + tt * delta_t)
            else:
                raise IOError('Only centrifugal or centripetal sequences are allowed, ' + \
                              'use \'fugal\' resp. \'petal\' as second arg.')
            return n_loc * delta_t + t0 + tadd

        def reduceModel(self, pprint=False):
            global SYN_NODE_IND, SYN_XCOMP
            locs = [MorphLoc((1, .5), self, set_as_comploc=True)] + \
                   [MorphLoc((SYN_NODE_IND, x), self, set_as_comploc=True) for x in SYN_XCOMP]

            # creat the reduced compartment tree
            ctree = self.createCompartmentTree(locs)
            # create trees to derive fitting matrices
            sov_tree, greens_tree = self.getZTrees()

            # compute the steady state impedance matrix
            z_mat = greens_tree.calcImpedanceMatrix(locs)[0].real
            # fit the conductances to steady state impedance matrix
            ctree.computeGMC(z_mat, channel_names=['L'])

            if pprint:
                np.set_printoptions(precision=1, linewidth=200)
                print(('Zmat original (MOhm) =\n' + str(z_mat)))
                print(('Zmat fitted (MOhm) =\n' + str(ctree.calcImpedanceMatrix())))

            # get SOV constants
            alphas, phimat = sov_tree.getImportantModes(locarg=locs,
                                                        sort_type='importance', eps=1e-12)
            # n_mode = len(locs)
            # alphas, phimat = alphas[:n_mode], phimat[:n_mode, :]
            importance = sov_tree.getModeImportance(sov_data=(alphas, phimat), importance_type='full')
            # fit the capacitances from SOV time-scales
            # ctree.computeC(-alphas*1e3, phimat, weight=importance)
            ctree.computeC(-alphas[:1]*1e3, phimat[:1,:], importance=importance[:1])

            if pprint:
                print(('Taus original (ms) =\n' + str(np.abs(1./alphas))))
                lambdas, _, _ = ctree.calcEigenvalues()
                print(('Taus fitted (ms) =\n' + str(np.abs(1./lambdas))))

            return ctree

        def runSim(self, delta_t=12.):
            try:
                el = self[0].currents['L'][1]
            except AttributeError:
                el = self[1].currents['L'][1]
            # el=-75.

            self.initModel(dt=0.025, t_calibrate=0., v_init=el, factor_lambda=10.)
            # add the synapses
            self.addAllSynapses()
            t_max = self.setSequence(delta_t, centri='petal')
            # set recording locs
            self.storeLocs(self.getLocs('soma loc') + self.getLocs('syn locs'), name='rec locs')
            # run the simulation
            res_centripetal = self.run(t_max, pprint=True)
            # delete the model
            self.deleteModel()

            self.initModel(dt=0.025, t_calibrate=0., v_init=el, factor_lambda=10.)
            # add the synapses
            self.addAllSynapses()
            t_max = self.setSequence(delta_t, centri='fugal')
            # set recording locs
            self.storeLocs(self.getLocs('soma loc') + self.getLocs('syn locs'), name='rec locs')
            # run the simulation
            res_centrifugal = self.run(t_max, pprint=True)
            # delete the model
            self.deleteModel()

            return res_centripetal, res_centrifugal


    class BrancoReducedTree(NeuronCompartmentTree, BrancoSimTree):
        def __init__(self):
            # call the initializer of :class:`NeuronSimTree`, follows after
            # :class:`BrancoSimTree` in MRO
            super(BrancoSimTree, self).__init__(file_n=None, types=[1,3,4])

        def setSynLocs(self, equivalent_locs):
            self.storeLocs(equivalent_locs[1:], name='syn locs')
            self.storeLocs(equivalent_locs[:1], name='soma loc')

    global SYN_NODE_IND, SYN_XCOMP

    # initialize the full model
    simtree = BrancoSimTree()
    simtree.setSynLocs()
    simtree.setCompTree()

    # derive the reduced model retaining only soma and synapse locations
    fit_locs = simtree.getLocs('soma loc') + simtree.getLocs('syn locs')
    c_fit = CompartmentFitter(simtree, name='sequence_discrimination', path='data/')
    ctree = c_fit.fitModel(fit_locs, recompute=recompute)
    clocs = ctree.getEquivalentLocs()

    # create the reduced model for NEURON simulation
    csimtree_ = createReducedNeuronModel(ctree)
    csimtree = csimtree_.__copy__(new_tree=BrancoReducedTree())
    csimtree.setSynLocs(clocs)

    pl.figure('Branco', figsize=(5,5))
    gs = GridSpec(2,2)
    ax0 = pl.subplot(gs[0,0])
    ax_ = pl.subplot(gs[0,1])
    ax1 = myAx(pl.subplot(gs[1,:]))

    # plot the full morphology
    locargs = [dict(marker='s', mec='k', mfc=cfl[0], ms=markersize)]
    locargs.extend([dict(marker='s', mec='k', mfc=cfl[1], ms=markersize) for ii in range(1,len(fit_locs))])
    pnodes = [n for n in simtree if n.swc_type != 2]
    plotargs = {'lw': lwidth/1.3, 'c': 'DarkGrey'}
    simtree.plot2DMorphology(ax0, use_radius=False,node_arg=pnodes,
                             plotargs=plotargs, marklocs=fit_locs, locargs=locargs, lims_margin=.01,
                             textargs={'fontsize': ticksize}, labelargs={'fontsize': ticksize})

    # plot a schematic of the reduced model
    labelargs = {0: {'marker': 's', 'mfc': cfl[0], 'mec': 'k', 'ms': markersize*1.2}}
    labelargs.update({ii: {'marker': 's', 'mfc': cfl[1], 'mec': 'k', 'ms': markersize*1.2} for ii in range(1,len(fit_locs))})
    ctree.plotDendrogram(ax_, plotargs={'c':'k', 'lw': lwidth}, labelargs=labelargs)

    xlim, ylim = np.array(ax_.get_xlim()), np.array(ax_.get_ylim())
    pp = np.array([np.mean(xlim), np.mean(ylim)])
    dp = np.array([2.*np.abs(xlim[1]-xlim[0])/3.,0.])
    ax_.annotate('Centrifugal', #xycoords='axes points',
                    xy=pp, xytext=pp+dp,
                    size=ticksize, rotation=90, ha='center', va='center')
    ax_.annotate('Centripetal', #xycoords='axes points',
                    xy=pp, xytext=pp-dp,
                    size=ticksize, rotation=90, ha='center', va='center')

    # plot voltage traces
    legend_handles = []
    for ii, delta_t in enumerate(delta_ts):
        res_cp, res_cf = simtree.runSim(delta_t=delta_t)
        ax1.plot(res_cp['t'], res_cp['v_m'][0], c='DarkGrey', lw=lwidth)
        ax1.plot(res_cf['t'], res_cf['v_m'][0], c='DarkGrey', lw=lwidth)

        cres_cp, cres_cf = csimtree.runSim(delta_t=delta_t)
        line = ax1.plot(cres_cp['t'], cres_cp['v_m'][0], c=colours[ii%len(colours)],
                        ls='--', lw=1.6*lwidth, label=r'$\Delta t = ' + '%.1f$ ms'%delta_t)
        ax1.plot(cres_cf['t'], cres_cf['v_m'][0], c=colours[ii%len(colours)], ls='-.', lw=1.6*lwidth)

        legend_handles.append(line[0])

    legend_handles.append(mlines.Line2D([0,0],[0,0], ls='--', lw=1.6*lwidth, c='DarkGrey', label=r'centripetal'))
    legend_handles.append(mlines.Line2D([0,0],[0,0], ls='-.', lw=1.6*lwidth, c='DarkGrey', label=r'centrifugal'))

    drawScaleBars(ax1, r' ms', r' mV', b_offset=20, h_offset=15, v_offset=15)
    myLegend(ax1, loc='upper left', bbox_to_anchor=(.7,1.3), handles=legend_handles,
                  fontsize=ticksize, handlelength=2.7)

    pl.tight_layout()
    pl.show()


if __name__ == '__main__':
    if SIM_FLAG:
        plotSim(delta_ts=[0.,4.,8.])
    else:
        plotStoredImg('../docs/figures/sequence_discrimination.png')
sequence discrimination

Total running time of the script: ( 0 minutes 0.206 seconds)

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