aeif_psc_exp – Current-based exponential integrate-and-fire neuron model¶
Description¶
aeif_psc_exp 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
As mentioned in the Differences between NEST GPU and NEST,
all the aeif neuron models in NEST GPU are multisynapse models.
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