Command: aeif_cond_exp

References

Brette R and Gerstner W (2005) Adaptive Exponential Integrate-and-Fire Model as

an Effective Description of Neuronal Activity. J Neurophysiol 94:3637-3642

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.

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.

an Effective Description of Neuronal Activity. J Neurophysiol 94:3637-3642

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.

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.

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.

Author

Adapted from aeif_cond_alpha by Lyle Muller

Sends

SpikeEvent

File

models/aeif_cond_exp.h

Receives

SpikeEvent
CurrentEvent
DataLoggingRequest