IF_cond_exp
IF_cond_exp(self,
=-65.0,
v_rest=1.0,
cm=20.0,
tau_m=0.0,
tau_refrac=5.0,
tau_syn_E=5.0,
tau_syn_I=0.0,
e_rev_E=-70.0,
e_rev_I=-50.0,
v_thresh=-65.0,
v_reset=0.0,
i_offset )
Leaky integrate-and-fire model with fixed threshold and decaying-exponential post-synaptic conductance.
The ODEs are solved using the exponential Euler method.
Equivalent code:
= Neuron(
IF_cond_exp = dict(
parameters = ann.Parameter(-65.0),
v_rest = ann.Parameter(1.0),
cm = ann.Parameter(20.0),
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(-70.0),
e_rev_I = ann.Parameter(-50.0),
v_thresh = ann.Parameter(-65.0),
v_reset = ann.Parameter(0.0),
i_offset
), = [
equations
ann.Variable('cm * dv/dt = cm/tau_m * (v_rest -v) + g_exc * (e_rev_E - v) + g_inh * (e_rev_I - v) + i_offset',
='exponential', init=-65.0
method
),'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_thresh",
spike = "v = v_reset",
reset = 0.0
refractory )
Parameters
Name | Type | Description | Default |
---|---|---|---|
v_rest | Resting membrane potential (mV) | -65.0 |
|
cm | Capacity of the membrane (nF) | 1.0 |
|
tau_m | Membrane time constant (ms) | 20.0 |
|
tau_refrac | Duration of refractory period (ms) | 0.0 |
|
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 of excitatory conductance (mV) | 0.0 |
|
e_rev_I | Reversal potential of inhibitory conductance (mV) | -70.0 |
|
v_thresh | Spike threshold (mV) | -50.0 |
|
v_reset | Reset potential after a spike (mV) | -65.0 |
|
i_offset | Offset current (nA) | 0.0 |