iaf_psc_exp
iaf_psc_exp - Leaky integrate-and-fire neuron model with exponential PSCs
Description
iaf_psc_exp is an implementation of a leaky integrate-and-fire model with exponential-kernel postsynaptic currents (PSCs) according to [1]. Thus, postsynaptic currents have an infinitely short rise time.
The threshold crossing is followed by an absolute refractory period (t_ref) during which the membrane potential is clamped to the resting potential and spiking is prohibited.
Note
If tau_m is very close to tau_syn_exc or tau_syn_inh, numerical problems may arise due to singularities in the propagator matrics. If this is the case, replace equal-valued parameters by a single parameter.
For details, please see IAF_neurons_singularity.ipynb
in
the NEST source code (docs/model_details
).
References
See also
iaf_cond_exp
Parameters
Name |
Physical unit |
Default value |
Description |
---|---|---|---|
C_m |
pF |
250pF |
Capacitance of the membrane |
tau_m |
ms |
10ms |
Membrane time constant |
tau_syn_inh |
ms |
2ms |
Time constant of inhibitory synaptic current |
tau_syn_exc |
ms |
2ms |
Time constant of excitatory synaptic current |
t_ref |
ms |
2ms |
Duration of refractory period |
E_L |
mV |
-70mV |
Resting potential |
V_reset |
mV |
-70mV |
Reset value of the membrane potential |
V_th |
mV |
-55mV |
Spike threshold potential |
I_e |
pA |
0pA |
constant external input current |
State variables
Name |
Physical unit |
Default value |
Description |
---|---|---|---|
r |
integer |
0 |
Counts number of tick during the refractory period |
V_m |
mV |
E_L |
Membrane potential |
Equations
Source code
The model source code can be found in the NESTML models repository here: iaf_psc_exp.