import sys
sys.path.append('../code/')
import numpy as np
import matplotlib.pylab as plt
sys.path.append('../')
from mean_field.master_equation import find_fixed_point
from transfer_functions.theoretical_tools import mean_and_var_conductance, get_fluct_regime_vars, pseq_params
from scipy.signal import gaussian
from single_cell_models.cell_library import get_neuron_params
from synapses_and_connectivity.syn_and_connec_library import get_connectivity_and_synapses_matrix
from transfer_functions.tf_simulation import reformat_syn_parameters
def gaussian_func(x, mean, std):
return np.exp(-(x-mean)**2/2/std**2)/std/np.sqrt(2.*np.pi)
def skew(x):
return np.abs(np.mean((x.mean()-x)**3))**(1./3.)#/x.std()**3)
def plot_ntwk_sim_output(time_array, rate_array, rate_exc, rate_inh,\
Raster_exc, Raster_inh,\
Vm_exc, Vm_inh, Ge_exc, Ge_inh, Gi_exc, Gi_inh,\
BIN=5, min_time=2000):
BIN=15.
cond_t = (time_array>min_time) # transient behavior after 400 ms
params = get_neuron_params(args.CONFIG.split('--')[0], SI_units=True)
M = get_connectivity_and_synapses_matrix('CONFIG1', SI_units=True)
EXC_AFF = M[0,0]['ext_drive']
print('starting fixed point')
fe0, fi0, sfe, sfie, sfi = find_fixed_point(args.CONFIG.split('--')[0], args.CONFIG.split('--')[1], 'CONFIG1',\
exc_aff=EXC_AFF, Ne=8000, Ni=2000, verbose=True)
print('end fixed point')
reformat_syn_parameters(params, M) # merging those parameters
xfe = fe0+np.linspace(-4,4)*sfe
fe_pred = gaussian_func(xfe, fe0, sfe)
xfi = fi0+np.linspace(-4,4)*sfi
fi_pred = gaussian_func(xfi, fi0, sfi)
mGe, mGi, sGe, sGi = mean_and_var_conductance(fe0+EXC_AFF, fi0, *pseq_params(params))
muV, sV, muGn, TvN = get_fluct_regime_vars(fe0+EXC_AFF, fi0, *pseq_params(params))
print("eee",muV)
FE, FI = np.meshgrid(xfe, xfi)
pFE, pFI = np.meshgrid(fe_pred, fi_pred)
MUV, SV, _, _ = get_fluct_regime_vars(FE+EXC_AFF, FI, *pseq_params(params))*pFE*pFI/np.sum(pFE*pFI)
### MEMBRANE POTENTIAL
MEAN_VM, STD_VM, KYRT_VM = [], [], []
for i in range(len(Vm_exc)):
MEAN_VM.append(Vm_exc[i][(time_array>min_time) & (Vm_exc[i]!=-65) & (Vm_exc[i]<-50)].mean())
MEAN_VM.append(Vm_inh[i][(time_array>min_time) & (Vm_inh[i]!=-65) & (Vm_inh[i]<-50)].mean())
for vv in [Vm_exc[i][(time_array>min_time)], Vm_inh[i][(time_array>min_time)]]:
i0 = np.where((vv[:-1]>-52) & (vv[1:]<-60))[0]
print(i0)
sv = []
if len(i0)==0:
STD_VM.append(vv.std())
elif len(i0)==1:
STD_VM.append(vv[0].std())
else:
for i1, i2 in zip(i0[:-1], i0[1:]):
if i2-i1>60:
sv.append(vv[i1+30:i2-30].std())
STD_VM.append(np.array(sv).mean())
STD_VM.append(Vm_inh[i][(time_array>min_time) & (Vm_inh[i]<-50)].std())
fig1, AX1 = plt.subplots(1, 3, figsize=(3,2)) # for means
fig2, AX2 = plt.subplots(1, 3, figsize=(3,2)) # for std
AX1[0].bar([0], np.array(MEAN_VM).mean()+65, yerr=np.array(MEAN_VM).std(), color='w', edgecolor='k', lw=3, error_kw=dict(elinewidth=3,ecolor='k'))
AX2[0].bar([0], np.array(STD_VM).mean(), yerr=np.array(STD_VM).std(), color='w', edgecolor='k', lw=3, error_kw=dict(elinewidth=3,ecolor='k'), label='$V_m$')
AX1[0].bar([1], [1e3*muV+65], color='gray', alpha=.5, label='$V_m$')
AX2[0].bar([1], [1e3*sV], color='gray', alpha=.5)
#set_plot(AX1[0], ['left'], xticks=[], ylim=[0,11], yticks=[0, 5, 10], yticks_labels=['-65', '-60', '-55'], ylabel='mean (mV)')
#set_plot(AX2[0], ['left'], xticks=[], ylim=[0,5], yticks=[0, 2, 4], ylabel='std. dev. (mV)')
### EXCITATORY CONDUCTANCE
MEAN_GE, STD_GE, KYRT_GE = [], [], []
for i in range(len(Ge_exc)):
MEAN_GE.append(Ge_exc[i][(time_array>min_time)].mean())
MEAN_GE.append(Ge_inh[i][(time_array>min_time)].mean())
STD_GE.append(Ge_exc[i][(time_array>min_time)].std())
STD_GE.append(Ge_inh[i][(time_array>min_time)].std())
AX1[1].bar([0], np.array(MEAN_GE).mean(), yerr=np.array(MEAN_GE).std(), color='w', edgecolor='g', lw=3, error_kw=dict(elinewidth=3,ecolor='g'), label='num. sim.')
AX2[1].bar([0], np.array(STD_GE).mean(), yerr=np.array(STD_GE).std(), color='w', edgecolor='g', lw=3, error_kw=dict(elinewidth=3,ecolor='g'), label='exc.')
AX1[1].bar([1], [1e9*mGe], color='g', label='mean field \n pred.')
AX2[1].bar([1], [1e9*sGe], color='g', label='exc.')
#set_plot(AX1[1], ['left'], xticks=[], yticks=[0,15,30], ylabel='mean (nS)')
#set_plot(AX2[1], ['left'], xticks=[], yticks=[0,5,10], ylabel='std. dev. (nS)')
### INHIBITORY CONDUCTANCE
MEAN_GI, STD_GI, KYRT_GI = [], [], []
for i in range(len(Gi_exc)):
MEAN_GI.append(Gi_exc[i][(time_array>min_time)].mean())
MEAN_GI.append(Gi_inh[i][(time_array>min_time)].mean())
STD_GI.append(Gi_exc[i][(time_array>min_time)].std())
STD_GI.append(Gi_inh[i][(time_array>min_time)].std())
AX1[2].bar([0], np.array(MEAN_GI).mean(), yerr=np.array(MEAN_GI).std(), color='w', edgecolor='r', lw=3, error_kw=dict(elinewidth=3,ecolor='r'), label='num. sim.')
AX2[2].bar([0], np.array(STD_GI).mean(), yerr=np.array(STD_GI).std(), color='w', edgecolor='r', lw=3, error_kw=dict(elinewidth=3,ecolor='r'), label='inh.')
AX1[2].bar([1], [1e9*mGi], color='r', label='mean field \n pred.')
AX2[2].bar([1], [1e9*sGi], color='r', label='inh.')
#set_plot(AX1[2], ['left'], xticks=[], yticks=[0,15,30], ylabel='mean (nS)')
#set_plot(AX2[2], ['left'], xticks=[], yticks=[0,5,10], ylabel='std. dev. (nS)')
### POPULATION RATE ###
fig, ax = plt.subplots(figsize=(4,3))
# we bin the population rate
N0 = int(BIN/(time_array[1]-time_array[0]))
N1 = int((time_array[cond_t][-1]-time_array[cond_t][0])/BIN)
time_array = time_array[cond_t][:N0*N1].reshape((N1,N0)).mean(axis=1)
rate_exc = rate_exc[cond_t][:N0*N1].reshape((N1,N0)).mean(axis=1)
rate_inh = rate_inh[cond_t][:N0*N1].reshape((N1,N0)).mean(axis=1)
rate_array = rate_array[cond_t][:N0*N1].reshape((N1,N0)).mean(axis=1)
hh, bb = np.histogram(rate_exc, bins=3, normed=True)
ax.bar(.5*(bb[:-1]+bb[1:]), hh, color='w', width=bb[1]-bb[0], edgecolor='g', lw=3, label='exc.', alpha=.7)
hh, bb = np.histogram(rate_inh, bins=5, normed=True)
ax.bar(.5*(bb[:-1]+bb[1:]), hh, color='w', width=bb[1]-bb[0], edgecolor='r', lw=3, label='inh', alpha=.7)
ax.fill_between(xfe, 0*fe_pred, fe_pred, color='g', alpha=.8)
ax.fill_between(xfi, 0*fi_pred, fi_pred, color='r', alpha=.8)
#set_plot(plt.gca(), ['bottom', 'left'], xlabel='pop. activity (Hz)', yticks=[], ylabel='density')
for ax in AX1: ax.legend()
for ax in AX2: ax.legend()
return [fig, fig1, fig2]
from plot_single_sim import bin_array
from mean_field.euler_method import run_mean_field_extended,run_mean_field
from waveform_input import double_gaussian
from transfer_functions.theoretical_tools import get_fluct_regime_vars, pseq_params
def plot_ntwk_sim_output_for_waveform(args,\
BIN=5, min_time=200, bar_ms=50,
zoom_conditions=None, vpeak=-35,\
raster_number=400):
BIN=8
time_array, rate_array, rate_exc, rate_inh,\
Raster_exc, Raster_inh,\
Vm_exc, Vm_inh, Ge_exc, Ge_inh, Gi_exc, Gi_inh = np.load(args.file,allow_pickle = True)
rate_exc=rate_exc+0.2
print("ee")
if zoom_conditions is not None:
z = zoom_conditions
else:
z = [time_array[0],time_array[-1]]
cond_t = (time_array>z[0]) & (time_array<z[1])
###### =========================================== ######
############# adding the theoretical eval ###############
###### =========================================== ######
t0 = args.t0-4*args.T1
def rate_func(t):
return double_gaussian(t, 1e-3*args.t0, 1e-3*args.T1, 1e-3*args.T2, args.amp)
t, fe, fi, sfe, sfei, sfi = run_mean_field_extended(args.CONFIG.split('--')[0],\
args.CONFIG.split('--')[1],args.CONFIG.split('--')[2],\
rate_func,dt=5e-4,
tstop=args.tstop*1e-3)
tfirst, fefirst, fifirst= run_mean_field(args.CONFIG.split('--')[0], args.CONFIG.split('--')[1],args.CONFIG.split('--')[2],rate_func,dt=5e-4,tstop=args.tstop*1e-3)
params = get_neuron_params(args.CONFIG.split('--')[0], SI_units=True)
M = get_connectivity_and_synapses_matrix('CONFIG1', SI_units=True)
reformat_syn_parameters(params, M) # merging those parameters
ext_drive = M[0,0]['ext_drive']
afferent_exc_fraction = M[0,0]['afferent_exc_fraction']
fe_e, fe_i = fe+ext_drive+rate_func(t), fe+ext_drive
muV_e, sV_e, muGn_e, TvN_e = get_fluct_regime_vars(fe_e, fi, *pseq_params(params))
muV_i, sV_i, muGn_i, TvN_i = get_fluct_regime_vars(fe_i, fi, *pseq_params(params))
Ne = Raster_inh[1].min()
FIGS = []
# plotting
FIGS.append(plt.figure(figsize=(5,4)))
cond = (Raster_exc[0]>z[0]) & (Raster_exc[0]<z[1])& (Raster_exc[1]>Ne-raster_number)
plt.plot(Raster_exc[0][cond], Raster_exc[1][cond], '.g')
cond = (Raster_inh[0]>z[0]) & (Raster_inh[0]<z[1])& (Raster_inh[1]<Ne+.2*raster_number)
plt.plot(Raster_inh[0][cond], Raster_inh[1][cond], '.r')
'''
plt.plot([z[0],z[0]+bar_ms], [Ne, Ne], 'k-', lw=5)
plt.annotate(str(bar_ms)+'ms', (z[0]+bar_ms, Ne))
'''
#set_plot(plt.gca(), ['left'], ylabel='Neuron index', xticks=[])
FIGS.append(plt.figure(figsize=(5,5)))
ax1 = plt.subplot2grid((3,1), (0,0), rowspan=2)
ax2 = plt.subplot2grid((3,1), (2,0))
for i in range(len(Vm_exc)):
ax1.plot(time_array[cond_t], Vm_exc[i][cond_t], 'g-', lw=.5)
spk = np.where( (Vm_exc[i][cond_t][:-1]>-50) & (Vm_exc[i][cond_t][1:]<-55))[0]
for ispk in spk: ax1.plot(time_array[cond_t][ispk]*np.ones(2), [Vm_exc[i][cond_t][ispk],vpeak], 'g--')
ax2.plot(time_array[cond_t], Ge_exc[i][cond_t], 'g-', lw=.5)
ax2.plot(time_array[cond_t], Gi_exc[i][cond_t], 'r-', lw=.5)
# vm
ax1.plot(1e3*t[1e3*t>t0], 1e3*muV_e[1e3*t>t0], 'g-', lw=2)
ax1.fill_between(1e3*t[1e3*t>t0], 1e3*(muV_e[1e3*t>t0]-sV_e[1e3*t>t0]),\
1e3*(muV_e[1e3*t>t0]+sV_e[1e3*t>t0]), color='g', alpha=.4)
# ge
ge_th = 1e9*fe_e[1e3*t>t0]*params['Qe']*params['Te']*(1-params['gei'])*params['pconnec']*params['Ntot']
sge_th = 1e9*params['Qe']*np.sqrt(fe_e[1e3*t>t0]*params['Te']*(1-params['gei'])*params['pconnec']*params['Ntot'])
ax2.plot(1e3*t[1e3*t>t0], ge_th, 'g-', lw=2)
ax2.fill_between(1e3*t[1e3*t>t0], ge_th-sge_th, ge_th+sge_th, color='g', alpha=.4)
gi_th = 1e9*fi[1e3*t>t0]*params['Qi']*params['Ti']*params['gei']*params['pconnec']*params['Ntot']
sgi_th = 1e9*params['Qi']*np.sqrt(fi[1e3*t>t0]*params['Ti']*params['gei']*params['pconnec']*params['Ntot'])
ax2.plot(1e3*t[1e3*t>t0], gi_th, 'r-', lw=2)
ax2.fill_between(1e3*t[1e3*t>t0], gi_th-sgi_th, gi_th+sgi_th, color='r', alpha=.4)
ax1.plot(time_array[cond_t][0]*np.ones(2), [-65, -55], lw=4, color='k')
ax1.annotate('10mV', (time_array[cond_t][0], -65))
#set_plot(ax1, [], xticks=[], yticks=[])
#set_plot(ax2, ['left'], ylabel='$G$ (nS)', xticks=[])
FIGS.append(plt.figure(figsize=(5,5)))
ax1 = plt.subplot2grid((3,1), (0,0), rowspan=2)
ax2 = plt.subplot2grid((3,1), (2,0))
for i in range(len(Vm_inh)):
ax1.plot(time_array[cond_t], Vm_inh[i][cond_t], 'r-', lw=.5)
spk = np.where( (Vm_inh[i][cond_t][:-1]>-51) & (Vm_inh[i][cond_t][1:]<-55))[0]
for ispk in spk: ax1.plot(time_array[cond_t][ispk]*np.ones(2), [Vm_inh[i][cond_t][ispk],vpeak], 'r--')
ax2.plot(time_array[cond_t], Ge_inh[i][cond_t], 'g-', lw=.5)
ax2.plot(time_array[cond_t], Gi_inh[i][cond_t], 'r-', lw=.5)
# vm
ax1.plot(1e3*t[1e3*t>t0], 1e3*muV_i[1e3*t>t0], 'r-', lw=2)
ax1.fill_between(1e3*t[1e3*t>t0], 1e3*(muV_i[1e3*t>t0]-sV_i[1e3*t>t0]),\
1e3*(muV_i[1e3*t>t0]+sV_i[1e3*t>t0]), color='r', alpha=.4)
ge_th = 1e9*fe_i[1e3*t>t0]*params['Qe']*params['Te']*(1-params['gei'])*params['pconnec']*params['Ntot']
sge_th = 1e9*params['Qe']*np.sqrt(fe_i[1e3*t>t0]*params['Te']*(1-params['gei'])*params['pconnec']*params['Ntot'])
ax2.plot(1e3*t[1e3*t>t0], ge_th, 'g-', lw=2)
ax2.fill_between(1e3*t[1e3*t>t0], ge_th-sge_th, ge_th+sge_th, color='g', alpha=.4)
ax2.plot(1e3*t[1e3*t>t0], gi_th, 'r-', lw=2)
ax2.fill_between(1e3*t[1e3*t>t0], gi_th-sgi_th, gi_th+sgi_th, color='r', alpha=.4)
ax1.plot(time_array[cond_t][0]*np.ones(2), [-65, -55], lw=4, color='k')
ax1.annotate('10mV', (time_array[cond_t][0], -65))
#set_plot(ax1, [], xticks=[], yticks=[])
#set_plot(ax2, ['left'], ylabel='$G$ (nS)', xticks=[])
fig, AX = plt.subplots(figsize=(5,3))
# we bin the population rate
rate_exc = bin_array(rate_exc[cond_t], BIN, time_array[cond_t])
rate_inh = bin_array(rate_inh[cond_t], BIN, time_array[cond_t])
rate_array = bin_array(rate_array[cond_t], BIN, time_array[cond_t])
time_array = bin_array(time_array[cond_t], BIN, time_array[cond_t])
AX.plot(time_array, rate_exc, 'g-', lw=.6, label='$\\nu_e(t)$')
AX.plot(time_array, rate_inh, 'r-', lw=.6, label='$\\nu_i(t)$')
AX.plot(1000*tfirst, fifirst, 'r--', lw=.6, label='$\\nu_i(t)$')
np.save('HH_response',[1000*tfirst,fefirst,fifirst,t,fe,fi,sfe,sfi,rate_func(tfirst)])
#AX.plot(time_array, .8*rate_exc+.2*rate_inh, 'k-', lw=2, label='$\\nu(t)$')
AX.plot(1e3*t[1e3*t>t0], fi[1e3*t>t0], 'r-', label='num. sim.')
AX.plot(1e3*t[1e3*t>t0], rate_func(t[1e3*t>t0]), 'k:',\
lw=2, label='$\\nu_e^{aff}(t)$ \n $\\nu_e^{drive}$')
AX.plot(1e3*t[1e3*t>t0], fe[1e3*t>t0], 'g-', label='mean field \n pred.')
AX.fill_between(1e3*t[1e3*t>t0], fe[1e3*t>t0]-sfe[1e3*t>t0], fe[1e3*t>t0]+sfe[1e3*t>t0],\
color='g', alpha=.3, label='mean field \n pred.')
AX.fill_between(1e3*t[1e3*t>t0], fi[1e3*t>t0]-sfi[1e3*t>t0], fi[1e3*t>t0]+sfi[1e3*t>t0],\
color='r', alpha=.3)
# AX.plot(1e3*t[1e3*t>t0], .8*fe[1e3*t>t0]+.2*fi[1e3*t>t0], 'k-', label='..')
AX.legend(prop={'size':'xx-small'})
#set_plot(AX, ['left'], ylabel='$\\nu$ (Hz)', xticks=[], num_yticks=3)
FIGS.append(fig)
print('excitatory rate: ', rate_exc[len(rate_exc)/2:].mean(), 'Hz')
print('inhibitory rate: ', rate_inh[len(rate_exc)/2:].mean(), 'Hz')
print(sfe[0], sfe[-1])
plt.show()
return FIGS
if __name__=='__main__':
import argparse
# First a nice documentation
parser=argparse.ArgumentParser(description=
"""
----------------------------------------------------------------------
Run the a network simulation using brian2
Choose CELLULAR and NTWK PARAMETERS from the available libraries
see ../synapses_and_connectivity.syn_and_connec_library.py for the CELLS
see ../synapses_and_connectivity.syn_and_connec_library.py for the NTWK
Then construct the input as "NRN_exc--NRN_inh--NTWK"
example: "LIF--LIF--Vogels-Abbott"
----------------------------------------------------------------------
"""
,formatter_class=argparse.RawTextHelpFormatter)
parser.add_argument("--CONFIG",help="Cell and Network configuration !", default='RS-cell--FS-cell--CONFIG1')
parser.add_argument("-f", "--file",help="filename for saving", default='data/example.npy')
parser.add_argument("-z", "--zoom",help="zoom for activity", type=float, nargs=2)
parser.add_argument("-b", "--bar_ms",help="bar for legend", type=int, default=100)
parser.add_argument("-r", "--raster_number",help="max neuron number", type=int, default=10000)
parser.add_argument("-t_after_transient", type=float, default=500)
parser.add_argument("-s", "--save",action='store_true')
args = parser.parse_args()
time_array, rate_array, rate_exc, rate_inh,\
Raster_exc, Raster_inh, Vm_exc, Vm_inh,\
Ge_exc, Ge_inh, Gi_exc, Gi_inh = np.load(args.file,allow_pickle = True)
FIG = plot_ntwk_sim_output(time_array, rate_array, rate_exc, rate_inh,\
Raster_exc, Raster_inh,\
Vm_exc, Vm_inh, Ge_exc, Ge_inh, Gi_exc, Gi_inh,\
min_time=args.t_after_transient)
if args.save:
put_list_of_figs_to_svg_fig(FIG, visualize=False)
else:
plt.show()