aeif_psc_delta – Current-based adaptive exponential integrate-and-fire neuron model with delta synapse¶
Description¶
aeif_psc_delta
is the adaptive exponential integrate and fire neuron
according to Brette and Gerstner (2005), with postsynaptic currents
in the form of delta spikes.
This implementation uses the embedded 4th order Runge-Kutta-Fehlberg solver with adaptive stepsize to integrate the differential equation.
The membrane potential is given by the following differential equation:
and
Here delta is the Dirac delta function and k indexes incoming
spikes. This is implemented such that V_m
will be incremented/decremented by
the value of J after a spike.
For implementation details see the aeif_models_implementation notebook.
See also [1].
Parameters¶
The following parameters can be set in the status dictionary.
Dynamic state variables |
||
V_m |
mV |
Membrane potential |
w |
pA |
Spike-adaptation current |
Membrane Parameters |
||
C_m |
pF |
Capacity of the membrane |
t_ref |
ms |
Duration of refractory period |
V_reset |
mV |
Reset value for V_m after a spike |
E_L |
mV |
Leak reversal potential |
g_L |
nS |
Leak conductance |
I_e |
pA |
Constant external input current |
Spike adaptation parameters |
||
a |
ns |
Subthreshold adaptation |
b |
pA |
Spike-triggered adaptation |
tau_w |
ms |
Adaptation time constant |
Delta_T |
mV |
Slope factor |
tau_w |
ms |
Adaptation time constant |
V_th |
mV |
Spike initiation threshold |
V_peak |
mV |
Spike detection threshold |
Integration parameters |
||
gsl_error_tol |
real |
This parameter controls the admissible error of the GSL integrator. Reduce it if NEST complains about numerical instabilities. |
Sends¶
SpikeEvent
Receives¶
SpikeEvent, CurrentEvent, DataLoggingRequest
References¶
See also¶
Neuron, Adaptive Threshold, Integrate-And-Fire, Current-Based