aeif_cond_exp - Conductance based exponential integrate-and-fire neuron
model according to Brette and Gerstner (2005).
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.
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:
C dV/dt= -g_L(V-E_L)+g_L*Delta_T*exp((V-V_T)/Delta_T)-g_e(t)(V-E_e)
-g_i(t)(V-E_i)-w +I_e
and
tau_w * dw/dt= a(V-E_L) -W
Note that the spike detection threshold V_peak is automatically set to
V_th+10 mV to avoid numerical instabilites that may result from
setting V_peak too high.
The following parameters can be set in the status dictionary.
Dynamic state variables:
V_m double - Membrane potential in mV
g_ex double - Excitatory synaptic conductance in nS.
g_in double - Inhibitory synaptic conductance in nS.
w double - Spike-adaptation current in pA.
Membrane Parameters:
C_m double - Capacity of the membrane in pF
t_ref double - Duration of refractory period in ms.
V_reset double - Reset value for V_m after a spike. In mV.
E_L double - Leak reversal potential in mV.
g_L double - Leak conductance in nS.
I_e double - Constant external input current in pA.
Spike adaptation parameters:
a double - Subthreshold adaptation in nS.
b double - Spike-triggered adaptation in pA.
Delta_T double - Slope factor in mV
tau_w double - Adaptation time constant in ms
V_t double - Spike initiation threshold in mV
V_peak double - Spike detection threshold in mV.
Synaptic parameters
E_ex double - Excitatory reversal potential in mV.
tau_syn_ex double - Rise time of excitatory synaptic conductance in ms (exp
function).
E_in double - Inhibitory reversal potential in mV.
tau_syn_in double - Rise time of the inhibitory synaptic conductance in ms
(exp function).
Integration parameters
gsl_error_tol double - This parameter controls the admissible error of the
GSL integrator. Reduce it if NEST complains about
numerical instabilities.
HAVE_GSL
SpikeEvent, CurrentEvent, DataLoggingRequest
SpikeEvent
Brette R and Gerstner W (2005) Adaptive Exponential
Integrate-and-Fire Model as an Effective Description of
Neuronal Activity. J Neurophysiol 94:3637-3642
Adapted from aeif_cond_alpha by Lyle Muller; full revision by Tanguy
Fardet on December 2016
/usr/src/packages/BUILD/models/aeif_cond_exp.h