aeif_psc_exp_multisynapse – Current-based exponential integrate-and-fire neuron model
Description
aeif_psc_exp_multisynapse is the adaptive exponential integrate and fire neuron according to [1], with postsynaptic currents in the form of truncated exponentials.
This implementation uses the embedded 5th order Runge-Kutta solver with adaptive stepsize to integrate the differential equation.
The membrane potential is given by the following differential equation:
where I_syn (t)
is the sum of the synaptic currents modeled as truncated exponentials
with time constant tau_syn
.
The differential equation for the spike-adaptation current w is:
Note
The number of receptor ports must be specified at neuron creation (default value is 1) and
the receptor index starts from 0 (and not from 1 as in NEST multisynapse models).
The time constants are supplied by an array, tau_syn
. Port numbers
are automatically assigned in the range 0 to n_receptors-1
.
During connection, the ports are selected with the synapse property receptor
.
Parameters
The following parameters can be set in the status dictionary.
Dynamic state variables: |
||
V_m |
mV |
Membrane potential |
I_syn |
pA |
Synaptic current |
w |
pA |
Spike-adaptation current |
Membrane Parameters |
||
V_th |
mV |
Spike initiation threshold |
Delta_T |
mV |
Slope factor |
g_L |
nS |
Leak conductance |
E_L |
mV |
Leak reversal potential |
C_m |
pF |
Capacity of the membrane |
I_e |
pA |
Constant external input current |
V_peak |
mV |
Spike detection threshold |
V_reset |
mV |
Reset value for V_m after a spike |
t_ref |
ms |
Duration of refractory period |
den_delay |
ms |
Dendritic delay |
Spike adaptation parameters |
||
a |
ns |
Subthreshold adaptation |
b |
pA |
Spike-triggered adaptation |
tau_w |
ms |
Adaptation time constant |
Synaptic parameters |
||
tau_syn |
ms |
Exponential decay time constant of synaptic current |
Integration parameters |
||
h0_rel |
real |
Starting step in ODE integration relative to time resolution |
h_min_rel |
real |
Minimum step in ODE integration relative to time resolution |
References
See also
Neuron, Integrate-And-Fire, Adaptive Threshold, Current-Based