aeif_psc_alpha


Name:
aeif_psc_alpha -   Current-based exponential integrate-and-fire neuron  
model according to Brette and Gerstner (2005).
Description:
 
aeif_psc_alpha is the adaptive exponential integrate and fire neuron according
to Brette and Gerstner (2005).
Synaptic currents are modelled as alpha-functions.

This implementation uses the embedded 4th order Runge-Kutta-Fehlberg solver with
adaptive step size 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)+I_ex(t)+I_in(t)+I_e

and

tau_w * dw/dt= a(V-E_L) -W

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_th double - Spike initiation threshold in mV
V_peak double - Spike detection threshold in mV.

Synaptic parameters
tau_syn_ex double - Rise time of excitatory synaptic current in ms (alpha
function).
tau_syn_in double - Rise time of the inhibitory synaptic current in ms (alpha
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.

Require:
HAVE_GSL  
Receives:
SpikeEvent, CurrentEvent, DataLoggingRequest  

Sends:
SpikeEvent  

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

Author:
Tanguy Fardet  

SeeAlso: Source:
/home/nest/work/nest-2.14.0/models/aeif_psc_alpha.h