EIF_cond_exp_isfa_ista
EIF_cond_exp_isfa_ista(self,
=-70.6,
v_rest=0.281,
cm=9.3667,
tau_m=0.1,
tau_refrac=5.0,
tau_syn_E=5.0,
tau_syn_I=0.0,
e_rev_E=-80.0,
e_rev_I=144.0,
tau_w=4.0,
a=0.0805,
b=0.0,
i_offset=2.0,
delta_T=-50.4,
v_thresh=-70.6,
v_reset=-40.0,
v_spike )
Exponential integrate-and-fire neuron with spike triggered and sub-threshold adaptation currents (isfa, ista reps.), decaying-exponential post-synaptic conductances.
Definition according to:
Brette R and Gerstner W (2005) Adaptive Exponential Integrate-and-Fire Model as an Effective Description of Neuronal Activity. J Neurophysiol 94:3637-3642
Equivalent code:
= Neuron(
EIF_cond_exp_isfa_ista = dict(
parameters = ann.Parameter(-70.6),
v_rest = ann.Parameter(0.281),
cm = ann.Parameter(9.3667),
tau_m = ann.Parameter(5.0),
tau_syn_E = ann.Parameter(5.0),
tau_syn_I = ann.Parameter(0.0),
e_rev_E = ann.Parameter(-80.0),
e_rev_I = ann.Parameter(144.0),
tau_w = ann.Parameter(4.0),
a = ann.Parameter(0.0805),
b = ann.Parameter(0.0),
i_offset = ann.Parameter(2.0),
delta_T = ann.Parameter(-50.4),
v_thresh = ann.Parameter(-70.6),
v_reset = ann.Parameter(-40.0),
v_spike
), = [
equations # Input current
'I = g_exc * (e_rev_E - v) + g_inh * (e_rev_I - v) + i_offset',
# Membrane potential
'tau_m * dv/dt = (v_rest - v + delta_T * exp((v-v_thresh)/delta_T)) + tau_m/cm*(I - w)', init=-70.6),
ann.Variable(# Recovery variable
'tau_w * dw/dt = a * (v - v_rest) / 1000.0 - w',
# Conductances
'tau_syn_E * dg_exc/dt = - g_exc', method='exponential'),
ann.Variable('tau_syn_I * dg_inh/dt = - g_inh', method='exponential'),
ann.Variable(
],= "v > v_spike",
spike = """
reset v = v_reset
w += b
""",
= 0.1
refractory )
Parameters
Name | Type | Description | Default |
---|---|---|---|
v_rest | Resting membrane potential (mV) | -70.6 |
|
cm | Capacity of the membrane (nF) | 0.281 |
|
tau_m | Membrane time constant (ms) | 9.3667 |
|
tau_refrac | Duration of refractory period (ms) | 0.1 |
|
tau_syn_E | Decay time of excitatory synaptic current (ms) | 5.0 |
|
tau_syn_I | Decay time of inhibitory synaptic current (ms) | 5.0 |
|
e_rev_E | Reversal potential for excitatory input (mV) | 0.0 |
|
e_rev_I | Reversal potential for inhibitory input (mv) | -80.0 |
|
tau_w | Time constant of the adaptation variable (ms) | 144.0 |
|
a | Scaling of the adaptation variable | 4.0 |
|
b | Increment on the adaptation variable after a spike | 0.0805 |
|
i_offset | Offset current (nA) | 0.0 |
|
delta_T | Speed of the exponential (mV) | 2.0 |
|
v_thresh | Spike threshold for the exponential (mV) | -50.4 |
|
v_reset | Reset potential after a spike (mV) | -70.6 |
|
v_spike | Spike threshold (mV) | -40.0 |