iaf_cond_beta
iaf_cond_beta - Simple conductance based leaky integrate-and-fire neuron model
Description
iaf_cond_beta is an implementation of a spiking neuron using IAF dynamics with conductance-based synapses. Incoming spike events induce a post-synaptic change of conductance modelled by a beta function. The beta function is normalised such that an event of weight 1.0 results in a peak current of 1 nS at \(t = \tau_{rise\_[ex|in]}\).
References
See also
iaf_cond_exp, iaf_cond_alpha
Parameters
Name |
Physical unit |
Default value |
Description |
---|---|---|---|
E_L |
mV |
-70mV |
Leak reversal potential (aka resting potential) |
C_m |
pF |
250pF |
Capacitance of the membrane |
t_ref |
ms |
2ms |
Refractory period |
V_th |
mV |
-55mV |
Threshold potential |
V_reset |
mV |
-60mV |
Reset potential |
E_ex |
mV |
0mV |
Excitatory reversal potential |
E_in |
mV |
-85mV |
Inhibitory reversal potential |
g_L |
nS |
16.6667nS |
Leak conductance |
tau_syn_rise_I |
ms |
0.2ms |
Synaptic time constant excitatory synapse |
tau_syn_decay_I |
ms |
2ms |
Synaptic time constant for inhibitory synapse |
tau_syn_rise_E |
ms |
0.2ms |
Synaptic time constant excitatory synapse |
tau_syn_decay_E |
ms |
2ms |
Synaptic time constant for inhibitory synapse |
F_E |
nS |
0nS |
Constant external input conductance (excitatory). |
F_I |
nS |
0nS |
Constant external input conductance (inhibitory). |
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 |
g_in |
real |
0 |
inputs from the inhibitory conductance |
g_in$ |
real |
g_I_const * (1 / tau_syn_rise_I - 1 / tau_syn_decay_I) |
|
g_ex |
real |
0 |
inputs from the excitatory conductance |
g_ex$ |
real |
g_E_const * (1 / tau_syn_rise_E - 1 / tau_syn_decay_E) |
Equations
Source code
The model source code can be found in the NESTML models repository here: iaf_cond_beta.
Characterisation
Synaptic response

f-I curve
