aeif_cond_exp
aeif_cond_exp - Conductance based exponential integrate-and-fire neuron model
Description
aeif_cond_exp is the adaptive exponential integrate and fire neuron according to Brette and Gerstner (2005), with post-synaptic conductances in the form of truncated exponentials.
The membrane potential is given by the following differential equation:
and
Note that the membrane potential can diverge to positive infinity due to the exponential term. To avoid numerical instabilities, instead of \(V_m\), the value \(\min(V_m,V_{peak})\) is used in the dynamical equations.
References
See also
iaf_cond_exp, aeif_cond_alpha
Parameters
Name |
Physical unit |
Default value |
Description |
---|---|---|---|
C_m |
pF |
281.0pF |
membrane parametersMembrane Capacitance |
t_ref |
ms |
0.0ms |
Refractory period |
V_reset |
mV |
-60.0mV |
Reset Potential |
g_L |
nS |
30.0nS |
Leak Conductance |
E_L |
mV |
-70.6mV |
Leak reversal Potential (aka resting potential) |
a |
nS |
4nS |
spike adaptation parametersSubthreshold adaptation |
b |
pA |
80.5pA |
Spike-triggered adaptation |
Delta_T |
mV |
2.0mV |
Slope factor |
tau_w |
ms |
144.0ms |
Adaptation time constant |
V_th |
mV |
-50.4mV |
Threshold Potential |
V_peak |
mV |
0mV |
Spike detection threshold |
E_exc |
mV |
0mV |
synaptic parametersExcitatory reversal Potential |
tau_syn_exc |
ms |
0.2ms |
Synaptic Time Constant Excitatory Synapse |
E_inh |
mV |
-85.0mV |
Inhibitory reversal Potential |
tau_syn_inh |
ms |
2.0ms |
Synaptic Time Constant for Inhibitory Synapse |
I_e |
pA |
0pA |
constant external input current |
State variables
Name |
Physical unit |
Default value |
Description |
---|---|---|---|
V_m |
mV |
E_L |
Membrane potential |
w |
pA |
0pA |
Spike-adaptation current |
Equations
Source code
The model source code can be found in the NESTML models repository here: aeif_cond_exp.