def main4(plot=True):
# what if we want to keep the input spike exactly the same throughout different taus?
# Solution: We run PoissonGroup once, store all the spikes, and use the stored spikes across the multiple runs
bs.start_scope()
num_inputs = 100
input_rate = 10 * bs.Hz
w = 0.1
tau_range = bs.linspace(1, 10, 30) * bs.ms
output_rates = []
P = bs.PoissonGroup(num_inputs, rates=input_rate)
p_monitor = bs.SpikeMonitor(P)
one_second = 1 * bs.second
"""
Note that in the code above, we created Network objects.
The reason is that in the loop, if we just called run it would try to simulate all the objects,
including the Poisson neurons P, and we only want to run that once.
We use Network to specify explicitly which objects we want to include.
"""
net = bs.Network(P, p_monitor)
net.run(one_second)
# keeps a copy of the spikes that are generated by the PoissonGroup during that explicit run earlier
spikes_i = p_monitor.i
spikes_t = p_monitor.t
# Construct network that we run each time
sgg = bs.SpikeGeneratorGroup(num_inputs, spikes_i, spikes_t)
eqs = '''
dv/dt = -v/tau : 1
'''
G = bs.NeuronGroup(1, eqs, threshold='v>1', reset='v=0', method='exact')
S = bs.Synapses(sgg, G, on_pre='v += w')
S.connect() # fully connected network
g_monitor = bs.SpikeMonitor(G)
# store the current state of the network
net = bs.Network(sgg, G, S, g_monitor)
net.store()
for tau in tau_range:
net.restore()
net.run(one_second)
output_rates.append(g_monitor.num_spikes / bs.second)
if plot:
plt.clf()
plt.plot(tau_range / bs.ms, output_rates)
plt.xlabel(r'$\tau$ (ms)')
plt.ylabel('Firing Rate (spikes/s)')
# there is much less noise compared to before where we used different PoissonGroup everytime
plt.show()
def collect_and_run(NTWK, verbose=False, INTERMEDIATE_INSTRUCTIONS=[]):
"""
/!\ When you add a new object, THINK ABOUT ADDING IT TO THE COLLECTION ! /!\
"""
NTWK['dt'], NTWK['tstop'] = NTWK['Model']['dt'], NTWK['Model']['tstop']
brian2.defaultclock.dt = NTWK['dt'] * brian2.ms
net = brian2.Network(brian2.collect())
OBJECT_LIST = []
for key in [
'POPS', 'REC_SYNAPSES', 'RASTER', 'POP_ACT', 'VMS', 'ISYNe',
'ISYNi', 'GSYNe', 'GSYNi', 'PRE_SPIKES', 'PRE_SYNAPSES'
]:
if key in NTWK.keys():
net.add(NTWK[key])
if verbose:
print('running simulation [...]')
current_t = 0
for instrct in INTERMEDIATE_INSTRUCTIONS:
# we run the simulation until that instruction
tdur = instrct['time'] - current_t
net.run(tdur * brian2.ms)
# execute instruction:
instrct['function'](NTWK)
current_t = instrct['time']
net.run((NTWK['tstop'] - current_t) * brian2.ms)
if verbose:
print('-> done !')
return net
def neuron_sim(stim_V=0.8):
"""simulating the neuron using brian2 library"""
# initiate stimuli timing
stimulus = br2.TimedArray(
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, stim_V, 0, 0, 0, 0, 0, 0, 0, 0, 0],
dt=100 * br2.ms)
# initiating neurons
eqs = '''
dv/dt = (-v + stimulus(t)-0.1*rand()) / tau : 1
tau : second
'''
# creating neuron group
G = br2.NeuronGroup(10, eqs, dt=0.2 * br2.ms)
# creating different tau's for the neuron model
G.tau = np.linspace(10, 100, 10) * br2.ms
# defining state monitor to record voltage
M = br2.StateMonitor(G, 'v', record=True)
# creating network
net = br2.Network(G, M)
# storing initial state
net.store()
# np array to contain data
data = np.zeros(shape=(10, 10000, 4))
# producing four repetitions
for trial in range(4):
net.restore() # Restore the initial state
net.run(2 * br2.second)
# store the results
data[:, :, trial] = M.v
return data
def simulate(tau):
b2.start_scope()
if standalone_mode:
b2.get_device().reinit()
b2.get_device().activate(build_on_run=False, directory=directory_name)
net = b2.Network()
P = b2.PoissonGroup(num_inputs, rates=input_rate)
G = b2.NeuronGroup(1, eqs, threshold='v>1', reset='v=0', method='euler')
S = b2.Synapses(P, G, on_pre='v += weight')
S.connect()
M = b2.SpikeMonitor(G)
net.add(P)
net.add(G)
net.add(S)
net.add(M)
net.run(1000 * b2.ms)
if standalone_mode:
b2.get_device().build(directory=directory_name,
compile=True,
run=True,
debug=False)
return M
def make_classification_network(self, number_of_stimuli, network_name):
if network_name not in self.networks:
network_size = number_of_stimuli * self.number_of_neurons
count_mat = np.zeros((int(self.stimulus_duration / ms * 10), network_size), int)
target = b2.NeuronGroup(N=number_of_stimuli, model=self.eqs, threshold='v>threshold', reset='v=0',
namespace={'tau': self.tau, 'threshold': self.threshold})
driving = b2.SpikeGeneratorGroup(N=network_size,
indices=[0], times=[0 * ms])
# counts = b2.TimedArray(values=_count_mat, dt=b2.defaultclock.dt)
synapses = b2.Synapses(source=driving, target=target,
model='w: 1', on_pre='v+=w*counts(t, i)')
i = np.arange(network_size)
j = np.repeat(range(number_of_stimuli), self.number_of_neurons)
synapses.connect(j=j, i=i)
synapses.w = np.tile(self.weights, reps=number_of_stimuli)
spikes = b2.SpikeMonitor(target, record=True)
voltage = b2.StateMonitor(target, 'v', record=True)
net = b2.Network([target, driving, synapses, spikes, voltage])
net.store()
self.networks[network_name] = dict(net=net,
count_mat=count_mat,
synapses=synapses,
v_mon=voltage,
spike_mon=spikes,
number_of_stimuli=number_of_stimuli,
driving=driving)
else:
self.networks[network_name]['synapses'].w = np.tile(self.weights, reps=number_of_stimuli)
def calculate_input_seqs(self):
"""
Calculating input sequence based on the video input.
"""
b2.set_device('cpp_standalone',
directory=os.path.join(
self.output_folder,
'Input_cpp_run' + self.output_file_suffix))
# inputdt = b2.defaultclock.dt
spikemons = []
n0 = len(self.i_patterns[0].T)
frames = self.frames
factor = self.factor
# tmp_group = b2.NeuronGroup(n0, 'rate = frames(t,i)*factor : Hz', threshold='b2.rand()<rate*dt')
tmp_group = b2.NeuronGroup(n0,
'rate = frames(t,i)*factor : Hz',
threshold='rand()<rate*dt')
tmp_network = b2.Network()
tmp_network.add(tmp_group)
tmp_mon = b2.SpikeMonitor(tmp_group)
tmp_network.add(tmp_mon)
spikemons.append(tmp_mon)
if self.BaseLine == 0 * second:
tmp_network.run(self.duration, report='text')
else:
tmp_network.run(self.BaseLine)
tmp_network.run(self.duration - self.BaseLine)
self.save_input_sequence(
spikemons,
os.path.join(self.output_folder,
'input' + self.output_file_suffix))
shutil.rmtree(
os.path.join(self.output_folder,
'Input_cpp_run' + self.output_file_suffix))
def simulate_STN_cell(par, par_sim):
num = par['num']
input_current = par['i_ext']
eqs = '''
I_ext = input_current(t, i): amp
minf = 1/(1+exp(-(vs-thetam*mV)/(sigmam*mV))) : 1
hinf = 1/(1+exp(-(vs-thetah*mV)/(sigmah*mV))) : 1
ninf = 1/(1+exp(-(vs-thetan*mV)/(sigman*mV))) : 1
ainf = 1/(1+exp(-(vs-thetaa*mV)/(sigmaa*mV))) : 1
binf = 1/(1+exp((r-thetab)/sigmab))-1/(1+exp(-thetab/sigmab)) : 1
rinf = 1/(1+exp(-(vs-thetar*mV)/(sigmar*mV))) : 1
sinf = 1/(1+exp(-(vs-thetas*mV)/(sigmas*mV))) : 1
taun = taun0+taun1/(1+exp(-(vs-thn*mV)/(sigmant*mV))) : second
tauh = tauh0+tauh1/(1+exp(-(vs-thh*mV)/(sigmaht*mV))) : second
taur = taur0+taur1/(1+exp(-(vs-thr*mV)/(sigmart*mV))) : second
il = gl * (vs - vl) : amp
ina = gna * minf ** 3 * h * (vs - vna) : amp
ik = gk * n ** 4 * (vs - vk) : amp
iahp = gahp * ca / (ca + k1) * (vs - vk) : amp
ica = gca * sinf ** 2 * (vs - vca) : amp
it = gt * ainf ** 3 * binf ** 2 * (vs - vca) : amp
dh/dt = phi * (hinf - h) / tauh : 1
dn/dt = phi * (ninf - n) / taun : 1
dr/dt = phir * (rinf - r) / taur : 1
dca/dt = eps * ((-ica - it)/pA - kca* ca) : 1 #! pA
membrane_Im = -(il + ina + ik + it + ica + iahp) + I_ext : amp
dvs/dt = membrane_Im/C : volt
'''
neuron = b2.NeuronGroup(
num,
eqs,
method=par_sim['integration_method'],
dt=par_sim['dt'],
threshold='vs>-20*mV',
refractory='vs>-20*mV',
namespace=par,
)
neuron.vs = par['v0']
neuron.h = "hinf"
neuron.n = "ninf"
neuron.r = "rinf"
neuron.ca = 0
st_mon = b2.StateMonitor(neuron, ["vs", "I_ext"], record=True)
net = b2.Network(neuron)
net.add(st_mon)
net.run(par_sim['simulation_time'])
return st_mon
def make_model(self):
# Determine the simulation
if self.clamp_type == 'current':
eqs_input = '''I_inj = inj_input(t) : amp'''
elif self.clamp_type == 'dynamic':
eqs_input = '''I_exc = g_exc(t) * (Er_e - v) : amp
I_inh = g_inh(t) * (Er_i - v) : amp
I_inj = I_exc + I_inh : amp'''
tracking = ['v', 'I_inj']
# Model the neuron with differential equations
eqs = '''
# Activation gates Na channel
m = 1. / (1. + exp(-(v - Vh) / k)) : 1
Vh = 3.223725 * k - 62.615488*mV : volt
# Inactivation gates Na channel
dh/dt = 5. * (alpha_h * (1 - h)- beta_h * h) : 1
alpha_h = 0.07 * exp(-(v + 58.*mV) / (20.*mV))/ms : Hz
beta_h = 1. / (exp(-0.1/mV * (v + 28.*mV)) + 1.)/ms : Hz
# Activation gates K channel
dn/dt = 5. * (alpha_n * (1. - n) - beta_n * n) : 1
alpha_n = 0.01/mV * 10*mV / exprel(-(v + 34.*mV) / (10.*mV))/ms : Hz
beta_n = 0.125 * exp(-(v + 44.*mV) / (80.*mV))/ms : Hz
# Activation gates K3.1 channel
dn3/dt = alphan3 * (1. - n3) - betan3 * n3 : 1
alphan3 = (1. / exp(((param * ((-0.029 * v + (1.9*mV))/mV)))))/ms : Hz
betan3 = (1. / exp(((param * ((0.021 * v + (1.1*mV))/mV)))))/ms : Hz
# Currents
I_leak = -gL * (v - EL) : amp
I_Na = -gNa * m**3 * h * (v - ENa) : amp
I_K = -gK * n**4 * (v - EK) : amp
I_K3 = -gK3 * n3**4 * (v - EK) : amp
dv/dt = (I_leak + I_Na + I_K + I_K3 + I_inj) / Cm : volt
'''
# Neuron & parameter initialization
neuron = b2.NeuronGroup(1,
model=eqs + eqs_input,
method='exponential_euler',
threshold='m > 0.5',
refractory=2 * b2.ms,
reset=None,
dt=self.dt * b2.ms)
neuron.v = -65 * b2.mV
# Track the parameters during simulation
self.M = b2.StateMonitor(neuron, tracking, record=True)
self.S = b2.SpikeMonitor(neuron, record=True)
self.neuron = neuron
net = b2.Network(neuron)
net.add(self.M, self.S)
self.network = net
def plot_fi_curve(self,
min_current=0 * pA,
max_current=1 * nA,
step_size=10 * pA,
max_rate=None,
plot=True):
# Compute current steps
steps = np.arange(min_current, max_current, step_size) * amp
N_steps = len(steps)
# Prepare params and eqs
neuron_parameters = self.neuron_parameters
refractory_period = neuron_parameters['refractory_period']
eqs = self.get_membrane_equation(substitute_ad_hoc={
'EXT_CURRENTS': '+ I_ext',
'EXT_CURRENTS_EQS': 'I_ext : amp'
})
# Create a neuron group
neurons = b2.NeuronGroup(N_steps,
model=eqs,
namespace=neuron_parameters,
reset=self.reset_statements,
threshold=self.threshold_condition,
refractory=refractory_period,
method=self.integration_method)
# Set initial values
initial_values = self.get_initial_values()
neurons.set_states(initial_values)
neurons.I_ext = 0 * pA
# Set what to monitor
#state_monitor = b2.StateMonitor(neurons, self.get_states_to_monitor(), record=True)
spike_monitor = b2.SpikeMonitor(neurons)
# Run the simulation
net = b2.Network(neurons, spike_monitor)
net.run(500 * ms)
# Add step current
neurons.I_ext = steps
net.run(1000 * ms)
counts = spike_monitor.count
# Plot/return the f-I curve
if plot is True:
plt.plot(steps / pA, counts)
plt.title('f-I curve')
plt.ylabel('Firing rate [Hz]')
plt.xlabel('Current [pA]')
if max_rate is not None:
plt.ylim([0, max_rate])
plt.show()
else:
return counts
def simulate_GPe_cell(par_g, par_sim):
num = par_g['num']
input_current = par_g['i_ext']
b2.defaultclock.dt = par_sim['dt']
eqs = '''
i_extg = input_current(t, i): amp
ainfg = 1 / (1 + exp(-(vg - thetaag*mV) / (sigag*mV))) : 1
sinfg = 1 / (1 + exp(-(vg - thetasg*mV) / (sigsg*mV))) : 1
rinfg = 1 / (1 + exp(-(vg - thetarg*mV) / (sigrg*mV))) : 1
minfg = 1 / (1 + exp(-(vg - thetamg*mV) / (sigmg*mV))) : 1
ninfg = 1 / (1 + exp(-(vg - thetang*mV) / (signg*mV))) : 1
hinfg = 1 / (1 + exp(-(vg - thetahg*mV) / (sighg*mV))) : 1
taung = taun0g + taun1g / (1 + exp(-(vg - thngt*mV) / (sng*mV))) : second
tauhg = tauh0g + tauh1g / (1 + exp(-(vg - thhgt*mV) / (shg*mV))) : second
itg = gtg * (ainfg ** 3) * rg * (vg - vcag) : amp
inag = gnag * (minfg ** 3) * hg * (vg - vnag) : amp
ikg = gkg * (ng ** 4) * (vg - vkg) : amp
iahpg = gahpg * (vg - vkg) * cag / (cag + k1g) : amp
icag = gcag * (sinfg ** 2) * (vg - vcag) : amp
ilg = glg * (vg - vlg) : amp
membrane_Im = -(itg + inag + ikg + iahpg + icag + ilg) + i_extg : amp
dhg/dt = phihg*(hinfg-hg)/tauhg : 1
dng/dt = phing*(ninfg-ng)/taung : 1
drg/dt = phig*(rinfg-rg)/taurg : 1
dcag/dt= epsg*((-icag-itg)/pA - kcag*cag) : 1 #! pA
dvg/dt = membrane_Im / C : volt
'''
neuron = b2.NeuronGroup(
num,
eqs,
method=par_sim['integration_method'],
dt=par_sim['dt'],
threshold='vg>-20*mV',
refractory='vg>-20*mV',
namespace=par_g,
)
neuron.vg = par_g['v0']
neuron.hg = "hinfg"
neuron.ng = "ninfg"
neuron.rg = "rinfg"
neuron.cag = 0
# neuron.i_extg = par_g['iapp']
st_mon = b2.StateMonitor(neuron, ["vg", 'i_extg'], record=True)
net = b2.Network(neuron)
net.add(st_mon)
net.run(par_sim['simulation_time'])
return st_mon
def simulate_Thl_cell_fig3(par, par_sim):
num = par_sim['num']
i_sensory_motor = par_sim['I_sm']
# b2.set_device('cpp_standalone')
b2.start_scope()
eqs = b2.Equations('''
minfthl = 1/(1+exp(-(vt-thtmthl*mV)/(sigmthl*mV))): 1
hinfthl = 1/(1+exp((vt-thththl*mV)/(sighthl*mV))): 1
pinfthl = 1/(1+exp(-(vt-thtpthl*mV)/(sigpthl*mV))) :1
rinfthl = 1/(1+exp((vt-thtrthl*mV)/(sigrthl*mV))) :1
ahthl = ah0thl*exp(-(vt-thtahthl*mV)/(sigahthl*mV)) :1
bhthl = bh0thl/(1+exp(-(vt-thtbhthl*mV)/(sigbhthl*mV))) :1
tauhthl = 1/(ahthl+bhthl) *ms :second
taurthl = taur0thl+taur1thl*exp(-(vt-thtrtauthl*mV)/(sigrtauthl*mV)) :second
ilthl=glthl*(vt-vlthl):amp
inathl=gnathl*minfthl*minfthl*minfthl*hthl*(vt-vnathl) :amp
ikthl=gkthl*((0.75*(1-hthl))**4)*(vt-vkthl) :amp
itthl=gtthl*pinfthl*pinfthl*rthl*(vt-vtthl) :amp
iextthl:amp
tmp_thl1 = sin(2*pi*(t-dsmthl)/tmsmthl) :1
tmp_thl2 = sin(2*pi*(t-dsmthl+wsmthl)/tmsmthl) :1
ym_thl1=1/(1+exp(-tmp_thl1/sigym)):1
ym_thl2=1/(1+exp(-tmp_thl2/sigym)):1
ithl_sm=imsmthl*ym_thl1*(1-ym_thl2) :amp
membrane_Ithl = -(ilthl+inathl+ikthl+itthl)+iextthl+ithl_sm:amp
drthl/dt=phirthl*(rinfthl-rthl)/taurthl :1
dhthl/dt=phihthl*(hinfthl-hthl)/tauhthl :1
dvt/dt = membrane_Ithl/cmthl : volt
''')
neuron = b2.NeuronGroup(
num,
eqs,
method=par_sim['integration_method'],
dt=par_sim['dt'],
threshold='vt>-55*mV',
refractory='vt>-55*mV',
namespace=par,
)
neuron.vt = par['v0']
neuron.hthl = "hinfthl"
neuron.rthl = "rinfthl"
neuron.iextthl = par['iext']
state_monitor = b2.StateMonitor(neuron, ["vt", "ithl_sm"], record=True)
net = b2.Network(neuron)
net.add(state_monitor)
net.run(par_sim['simulation_time'])
return state_monitor
def simulate_HH_neuron(I_e, simulation_time):
"""A Hodgkin-Huxley neuron implemented in Brian2.
Args:
I_e: Input current injected into the HH neuron
simulation_time (float): Simulation time [seconds]
Returns:
StateMonitor: Brian2 StateMonitor with recorded field "vm"
"""
# neuron parameters
El = -59. * b2.mV
EK = -82. * b2.mV
ENa = 45. * b2.mV
gl = 0.3 * b2.msiemens
gK = 36. * b2.msiemens
gNa = 120. * b2.msiemens
C = 1. * b2.ufarad
# forming HH model with differential equations
eqs = """
membrane_Im = I_e + gNa*m**3*h*(ENa-vm) + \
gl*(El-vm) + gK*n**4*(EK-vm) : amp
alphan = 0.01/mV * (-60.0*mV - vm) / (exp((-60.0*mV - vm) / (10.0*mV)) - 1.0)/ms: Hz
alpham = (vm + 45.0*mV) / (10.0*mV) / (1.0 - exp(-(vm + 45.0*mV) / (10.0*mV)))/ms : Hz
alphah = 0.07*exp(-(vm + 70.*mV)/(20.*mV))/ms : Hz
betan = 0.125 * exp(-(vm + 70.0*mV) / (80.0*mV))/ms: Hz
betam = 4.0 * exp(-(vm + 70.0*mV) / (18.0*mV))/ms: Hz
betah = 1. / (exp(-(vm + 40.0*mV) / (10.0*mV)) + 1.0)/ms : Hz
dn/dt = alphan*(1-n)-betan*n : 1
dm/dt = alpham*(1-m)-betam*m : 1
dh/dt = alphah*(1-h)-betah*h : 1
dvm/dt = membrane_Im/C : volt
"""
neuron = b2.NeuronGroup(1, eqs, method="exponential_euler")
# parameter initialization [come from x_inf(v) {x:m,n,h}]
neuron.vm = -70. * b2.mV
neuron.m = 0.05
neuron.h = 0.60
neuron.n = 0.32
# tracking parameters
st_mon = b2.StateMonitor(neuron, "vm", record=True)
# running the simulation
hh_net = b2.Network(neuron)
hh_net.add(st_mon)
hh_net.run(simulation_time)
return st_mon
def simulate_FSI_cell(par, par_sim):
pid = os.getpid()
b2.set_device('cpp_standalone', directory=join(
"output", f"standalone-{pid}"))
b2.get_device().reinit()
b2.get_device().activate(
directory=join("output", f"standalone-{pid}"))
num = par['num']
input_current = par['i_ext']
eqs = '''
Iapp = input_current(t, i): amp
m_inf = 1.0/(1.0+exp(-(vf+24*mV)/(11.5*mV))):1
h_inf = 1.0/(1.0+exp(-(vf+58.3*mV)/(-6.7*mV))):1
n_inf = 1.0/(1.0+exp(-(vf+12.4*mV)/(6.8*mV))):1
a_inf = 1.0/(1.0+exp(-(vf+50*mV)/(20.*mV))):1
b_inf = 1.0/(1.0+exp(-(vf+70*mV)/(-6.*mV))):1
tau_h=0.5*ms+14.0*ms/(1.0+exp(-(vf+60*mV)/(-12.*mV))):second
tau_n=(0.087*ms+11.4*ms/(1.0+exp(-(vf+14.6*mV)/(-8.6*mV))))
*(0.087+11.4/(1.0+exp(-(vf-1.3*mV)/(18.7*mV)))) :second
membrain_Im = -gNa*m_inf**3 *h*(vf-50*mV)
-gK*(n**power_n)*(vf+90*mV)
-gL*(vf+70*mV)-gA*a**3*b*(vf+90*mV)+Iapp:amp
dh/dt=(h_inf-h)/tau_h :1
dn/dt=(n_inf-n)/tau_n :1
da/dt=(a_inf-a)/(2.*ms) :1
db/dt=(b_inf-b)/(150.*ms) :1
dvf/dt=membrain_Im/Cm :volt
'''
neuron = b2.NeuronGroup(num,
eqs,
method=par_sim['integration_method'],
dt=par_sim['dt'],
threshold='vf>-20*mV',
refractory='vf>-20*mV',
namespace=par,
)
neuron.vf = par['v0']
neuron.h = "h_inf"
neuron.n = "n_inf"
neuron.a = "a_inf"
neuron.b = "b_inf"
st_mon = b2.StateMonitor(neuron, ["vf", "Iapp"], record=True)
net = b2.Network(neuron)
net.add(st_mon)
net.run(par_sim['simulation_time'])
return st_mon
def simulate_HH_neuron(input_current, simulation_time):
"""A Hodgkin-Huxley neuron implemented in Brian2.
Args:
input_current (TimedArray): Input current injected into the HH neuron
simulation_time (float): Simulation time [seconds]
Returns:
StateMonitor: Brian2 StateMonitor with recorded fields
["vm", "I_e", "m", "n", "h"]
"""
# neuron parameters
El = 10.6 * b2.mV
EK = -12 * b2.mV
ENa = 115 * b2.mV
gl = 0.3 * b2.msiemens
gK = 36 * b2.msiemens
gNa = 120 * b2.msiemens
C = 1 * b2.ufarad
# forming HH model with differential equations
eqs = """
I_e = input_current(t,i) : amp
membrane_Im = I_e + gNa*m**3*h*(ENa-vm) + \
gl*(El-vm) + gK*n**4*(EK-vm) : amp
alphah = .07*exp(-.05*vm/mV)/ms : Hz
alpham = .1*(25*mV-vm)/(exp(2.5-.1*vm/mV)-1)/mV/ms : Hz
alphan = .01*(10*mV-vm)/(exp(1-.1*vm/mV)-1)/mV/ms : Hz
betah = 1./(1+exp(3.-.1*vm/mV))/ms : Hz
betam = 4*exp(-.0556*vm/mV)/ms : Hz
betan = .125*exp(-.0125*vm/mV)/ms : Hz
dh/dt = alphah*(1-h)-betah*h : 1
dm/dt = alpham*(1-m)-betam*m : 1
dn/dt = alphan*(1-n)-betan*n : 1
dvm/dt = membrane_Im/C : volt
"""
neuron = b2.NeuronGroup(1, eqs, method="exponential_euler")
# parameter initialization
neuron.vm = 0
neuron.m = 0.05
neuron.h = 0.60
neuron.n = 0.32
# tracking parameters
st_mon = b2.StateMonitor(neuron, ["vm", "I_e", "m", "n", "h"], record=True)
# running the simulation
hh_net = b2.Network(neuron)
hh_net.add(st_mon)
hh_net.run(simulation_time)
return st_mon
def set_variables(self, neurons):
self.add_tag('Brian2_embedding')
brian2.defaultclock.dt = 1 * ms
eqs = self.get_init_attr('eqs', '')
self.G = brian2.NeuronGroup(
100, eqs, method='euler') #this is a Biran2 NeuronGroup!
self.net = brian2.Network(self.G) #this is a Biran2 Network!
self.G.v = (np.random.rand(100) + 1) * mV
self.G.tau = 100 * ms
def clear(self):
self.recorders = set([])
self.id_counter = 0
self.current_sources = []
self.segment_counter = -1
if self.network:
for item in self.network.sorted_objects:
del item
del self.network
self.network = brian2.Network()
self.network.clock = brian2.Clock(0.1 * ms)
self.running = False
self.reset()
def __init__(self, *args):
def flatten(obj):
if isinstance(obj, Iterable):
array = []
for x in obj:
array.extend(flatten(x))
return array
else:
return [obj]
self.brian_items = [x.brian for x in flatten(list(args))]
self.brian = b.Network(self.brian_items)
def simulate_neuron(self,
I_stim=input_factory.get_zero_current(),
simulation_time=1000 * ms,
**kwargs):
"""
Simulate/stimulate the neuron
:param I_stim: input stimulus (use the input_factory to create the stimulus)
:param simulation_time: duration (usually in milliseconds, eg. 3000*ms)
:param kwargs: custom neuron parameters can be given as arguments
:return: b2.StateMonitor, b2.SpikeMonitor
"""
neuron_parameters = dict(
self.neuron_parameters
) # Make a copy of parameters; otherwise will change object params
neuron_parameters.update(kwargs)
refractory_period = neuron_parameters['refractory_period']
stim_string = '+ I_stim(t,i)'
old_model_defns = dict(self.full_model_defns)
self.add_model_definition('EXT_CURRENTS', stim_string)
eqs = self.get_membrane_equation()
self.full_model_defns = old_model_defns
# Create a neuron group
neuron = b2.NeuronGroup(1,
model=eqs,
namespace=neuron_parameters,
reset=self.reset_statements,
threshold=self.threshold_condition,
refractory=refractory_period,
method=self.integration_method)
# Set initial values
initial_values = self.get_initial_values()
neuron.set_states(initial_values)
# Set what to monitor
state_monitor = b2.StateMonitor(neuron,
self.get_states_to_monitor(),
record=True)
spike_monitor = b2.SpikeMonitor(neuron)
# Run the simulation
net = b2.Network(neuron, state_monitor, spike_monitor)
net.run(simulation_time)
return state_monitor, spike_monitor
def __init__(self, xmax, ymax, rmax, dvsSignal):
self.xmax = xmax
self.ymax = ymax
self.rmax = rmax
#self.rmin = 2
self.dvsSignal = dvsSignal
self.v_update = 0.5 * brian2.mvolt
self.group = snn.snn(self.xmax, self.ymax, self.rmax)
self.network_op = brian2.NetworkOperation(self.update_func,
dt=100 * brian2.ms)
#self.synapses = snn.inhibition(self.group)
self.spikeM = brian2.SpikeMonitor(self.group)
self.network = brian2.Network(self.group, self.network_op,
self.spikeM) #, self.synapses)
def make_model(self):
# Determine the simulation
if self.clamp_type == 'current':
eqs_input = '''I_inj = inj_input(t) : amp'''
elif self.clamp_type == 'dynamic':
eqs_input = '''I_exc = g_exc(t) * (Er_e - v) : amp
I_inh = g_inh(t) * (Er_i - v) : amp
I_inj = I_exc + I_inh : amp'''
tracking = ['v', 'I_inj']
# Model the neuron with differential equations
eqs = '''
Vh_m = 3.583881 * k_m - 53.294454*mV : volt
m = 1 / (1 + exp(-(v - Vh_m) / k_m)) : 1
h = 1 / (1 + exp((v - Vh_h) / k_h)) : 1
alpha_n = (0.032 * 5. / exprel((15. -v/mV + VT/mV) / 5.))/ms : Hz
beta_n = (0.5 * exp((10. - v/mV + VT/mV) / 40.))/ms : Hz
dn/dt = alpha_n * (1 - n) - beta_n * n : 1
I_leak = -gL * (v - EL) : amp
I_Na = -gNa * m**3 * h * (v - ENa) : amp
I_K = -gK * n**4 * (v - EK) : amp
dv/dt = (I_leak + I_Na + I_K + I_inj) / Cm : volt
'''
# Neuron & parameter initialization
neuron = b2.NeuronGroup(1,
model=eqs + eqs_input,
method='exponential_euler',
threshold='m > 0.5',
refractory=2 * b2.ms,
reset=None,
dt=self.dt * b2.ms)
neuron.v = -65 * b2.mV
# Track the parameters during simulation
self.M = b2.StateMonitor(neuron, tracking, record=True)
self.S = b2.SpikeMonitor(neuron, record=True)
self.neuron = neuron
net = b2.Network(neuron)
net.add(self.M, self.S)
self.network = net
def simulate_exponential_IF_neuron(tau=MEMBRANE_TIME_SCALE_tau,
R=MEMBRANE_RESISTANCE_R,
v_rest=V_REST,
v_reset=V_RESET,
v_rheobase=RHEOBASE_THRESHOLD_v_rh,
v_spike=FIRING_THRESHOLD_v_spike,
delta_T=SHARPNESS_delta_T,
I_stim=input_factory.get_zero_current(),
simulation_time=200 * b2.ms):
"""
Implements the dynamics of the exponential Integrate-and-fire model
Args:
tau (Quantity): Membrane time constant
R (Quantity): Membrane resistance
v_rest (Quantity): Resting potential
v_reset (Quantity): Reset value (vm after spike)
v_rheobase (Quantity): Rheobase threshold
v_spike (Quantity) : voltage threshold for the spike condition
delta_T (Quantity): Sharpness of the exponential term
I_stim (TimedArray): Input current
simulation_time (Quantity): Duration for which the model is simulated
Returns:
(voltage_monitor, spike_monitor):
A b2.StateMonitor for the variable "v" and a b2.SpikeMonitor
"""
eqs = """
dv/dt = (-(v-v_rest) +delta_T*exp((v-v_rheobase)/delta_T)+ R * I_stim(t,i))/(tau) : volt
"""
neuron = b2.NeuronGroup(1,
model=eqs,
reset="v=v_reset",
threshold="v>v_spike",
method="euler")
neuron.v = v_rest
# monitoring membrane potential of neuron and injecting current
voltage_monitor = b2.StateMonitor(neuron, ["v"], record=True)
spike_monitor = b2.SpikeMonitor(neuron)
# run the simulation
net = b2.Network(neuron, voltage_monitor, spike_monitor)
net.run(simulation_time)
return voltage_monitor, spike_monitor
def run_simulation(run_params, neurons, connections, monitors, run_id):
"""
Run the simulation using all the objects created so far.
"""
net = b2.Network()
for group in neurons:
net.add(neurons[group])
for connection in connections:
net.add(connections[connection])
for mon_type in monitors:
for neuron_group in monitors[mon_type]:
net.add(monitors[mon_type][neuron_group])
net.run(run_params['run_time'], report='text')
return net
def collect_and_run(NTWK, verbose=False):
"""
collecting all the Brian2 objects and running the simulation
"""
NTWK['dt'], NTWK['tstop'] = NTWK['Model']['dt'], NTWK['Model']['tstop']
brian2.defaultclock.dt = NTWK['dt'] * brian2.ms
net = brian2.Network(brian2.collect())
OBJECT_LIST = []
for key in [
'POPS', 'REC_SYNAPSES', 'RASTER', 'POP_ACT', 'VMS', 'PRE_SPIKES',
'PRE_SYNAPSES'
]:
if key in NTWK.keys():
net.add(NTWK[key])
print('running simulation [...]')
net.run(NTWK['tstop'] * brian2.ms)
return net
def simulate_neuron(self,
I_stim=input_factory.get_zero_current(),
simulation_time=1000 * ms,
**kwargs):
neuron_parameters = dict(
self.neuron_parameters
) # Make a copy of parameters; otherwise will change object params
neuron_parameters.update(kwargs)
refractory_period = neuron_parameters['refractory_period']
#eqs = self.get_membrane_equation(substitute_ad_hoc={'EXT_CURRENTS': '+ I_stim(t,i)'})
stim_string = '+ I_stim(t,i)'
old_model_defns = dict(self.full_model_defns)
self.add_model_definition('EXT_CURRENTS', stim_string)
eqs = self.get_membrane_equation()
self.full_model_defns = old_model_defns
# Create a neuron group
neuron = b2.NeuronGroup(1,
model=eqs,
namespace=neuron_parameters,
reset=self.reset_statements,
threshold=self.threshold_condition,
refractory=refractory_period,
method=self.integration_method)
# Set initial values
initial_values = self.get_initial_values()
neuron.set_states(initial_values)
# Set what to monitor
state_monitor = b2.StateMonitor(neuron,
self.get_states_to_monitor(),
record=True)
spike_monitor = b2.SpikeMonitor(neuron)
# Run the simulation
net = b2.Network(neuron, state_monitor, spike_monitor)
net.run(simulation_time)
return state_monitor, spike_monitor
def make_plot_network(self):
count_mat = np.zeros((int(self.stimulus_duration / ms * 10), self.number_of_neurons), int)
target = b2.NeuronGroup(N=1, model=self.eqs, threshold='v>threshold', reset='v=0',
namespace={'tau': self.tau, 'threshold': self.threshold})
driving = b2.SpikeGeneratorGroup(N=self.number_of_neurons,
indices=[0], times=[0 * ms])
synapses = b2.Synapses(source=driving, target=target,
model='w: 1', on_pre='v+=w*counts(t, i)')
synapses.connect(i=range(number_of_neurons), j=[0] * number_of_neurons)
synapses.w = self.weights
spikes = b2.SpikeMonitor(target, record=True)
voltage = b2.StateMonitor(target, 'v', record=True)
net = b2.Network([target, driving, synapses, spikes, voltage])
net.store()
self.networks['plot'] = dict(net=net,
synapses=synapses,
count_mat=count_mat,
v_mon=voltage,
spike_mon=spikes,
driving=driving)
def collect_brian2_network(self, *more_objects: b2.BrianObject):
for net in b2.Network.__instances__():
if self.ref == net().name:
logger.warning(
'before recollecting the same network, you need to call reset_lazyness to clean up'
)
break
net = b2.Network(*more_objects, name=self.ref)
for p in self.populations:
net.add(p.brian2)
for i in p.inputs:
net.add(i.brian2)
for n in p.noises:
net.add(n.brian2)
return net
def simulate(tau):
# These two lines are needed to start a new standalone simulation:
b2.device.reinit()
b2.device.activate()
eqs = '''
dv/dt = -v/tau : 1
'''
net = b2.Network()
P = b2.PoissonGroup(num_inputs, rates=input_rate)
G = b2.NeuronGroup(1, eqs, threshold='v>1', reset='v=0', method='euler')
S = b2.Synapses(P, G, on_pre='v += weight')
S.connect()
M = b2.SpikeMonitor(G)
net.add([P, G, S, M])
net.run(1000 * b2.ms)
return M
def make_train_network(self, batch_size, network_name):
if network_name not in self.networks:
network_size = batch_size * self.number_of_neurons
target = b2.NeuronGroup(N=network_size, model=self.eqs,
namespace={'tau': self.tau})
driving = b2.SpikeGeneratorGroup(N=network_size,
indices=[0], times=[0 * ms])
count_mat = np.zeros((int(self.stimulus_duration / ms * 10), network_size), int)
synapses = b2.Synapses(driving, target, 'w: 1', on_pre='v+=1*counts(t, i)')
synapses.connect(condition='i==j')
synapses.w = np.tile(self.weights, reps=batch_size)
voltage = b2.StateMonitor(target, 'v', record=True)
net = b2.Network([target, driving, synapses, voltage])
net.store()
self.networks[network_name] = dict(net=net,
count_mat=count_mat,
synapses=synapses,
v_mon=voltage,
number_of_stimuli=batch_size,
driving=driving)
else:
self.networks[network_name]['synapses'].w = np.tile(self.weights, reps=batch_size)
def network_sim():
# this line resets Brian's object tracking system, without it, the simulation will crash when run a second time
# bb.core.tracking.InstanceFollower.instance_sets = defaultdict(bb.core.tracking.InstanceTrackerSet)
bb.start_scope()
if faster_run:
bb.get_device().reinit()
bb.get_device().activate(build_on_run=False,
directory='PETH_standalone')
network = bb.Network()
Pe = bb.NeuronGroup(20000,
eqs_exc,
threshold='v > -50 * mV',
reset='v = -60 * mV',
refractory=2. * ms,
method='euler',
namespace=params)
# Pi = bb.NeuronGroup(5000, eqs_inh, threshold='v > -50 * mV',
# reset='v = -60 * mV', refractory=2. * ms, method='euler',
# namespace=params)
C_ee = bb.Synapses(Pe, Pe, model='w:siemens', on_pre='ge+=w')
#C_ie = bb.Synapses(Pe, Pi, model='w:siemens', on_pre='ge+=w')
i = np.random.randint(20000)
j = np.random.randint(20000)
C_ee.connect(i=i, j=j)
C_ee.w = params['g_ee']
network.add(Pe)
network.add(C_ee)
network.run(1 * second)
if faster_run:
bb.get_device().build(directory='PETH_standalone',
compile=True,
run=True,
debug=False)
return network
def simulate(runtime=0.5*b2.second, N=1):
b2.start_scope()
namespace['sigma'] = 2 * b2.mV
namespace['tau_m_E'] = namespace['C_m_E'] / namespace['g_m_E']
# I_1 = -2*b2.namp
# I_2 = -20*b2.namp
I_1 = namespace['g_m_E'] * (namespace['V_L'] - (2.5*b2.mV + namespace['V_thr']))
I_2 = namespace['g_m_E'] * (namespace['V_L'] - (-2.5*b2.mV + namespace['V_thr']))
eqn = """
dV/dt = (- g_m_E * (V - V_L) - I) / C_m_E + sigma*xi*tau_m_E**-0.5: volt (unless refractory)
I : amp
"""
N1 = b2.NeuronGroup(
N, eqn, threshold='V>V_thr',
reset='V = V_reset',
refractory=namespace['tau_rp_E'],
method='euler')
N1.V = namespace['V_reset']
N1.I = I_1
N2 = b2.NeuronGroup(
N, eqn, threshold='V>V_thr',
reset='V = V_reset',
refractory=namespace['tau_rp_E'],
method='euler')
N2.V = namespace['V_reset']
N2.I = I_2
st1 = b2.StateMonitor(N1, variables='V', record=True, name='st1')
st2 = b2.StateMonitor(N2, variables='V', record=True, name='st2')
sp1 = b2.SpikeMonitor(N1, name='sp1')
sp2 = b2.SpikeMonitor(N2, name='sp2')
net = b2.Network(b2.collect())
net.run(runtime, namespace=namespace, report='stdout')
return net
