Command: aeif_cond_alpha

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Name:
aeif_cond_alpha - Conductance based exponential integrate-and-fire neuron
model according to Brette and Gerstner (2005).
Description:
aeif_cond_alpha is the adaptive exponential integrate and fire neuron according
to Brette and Gerstner (2005).
Synaptic conductances 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:
@f[ C_m \frac{dV}{dt} = -g_L(V-E_L)+g_L\Delta_T\exp\left(\frac{V-V_{th}}{\Delta_T}\right) - g_e(t)(V-E_e) \\
-g_i(t)(V-E_i)-w +I_e @f]

and

@f[ \tau_w \frac{dw}{dt} = a(V-E_L) - w @f]
Parameters:
The following parameters can be set in the status dictionary.

\verbatim embed:rst

======== ======= =======================================
**Dynamic state variables:**
--------------------------------------------------------
V_m mV Membrane potential
g_ex nS Excitatory synaptic conductance
dg_ex nS/ms First derivative of g_ex
g_in nS Inhibitory synaptic conductance
dg_in nS/ms First derivative of g_in
w pA Spike-adaptation current
======== ======= =======================================


======== ======= =======================================
**Membrane Parameters**
--------------------------------------------------------
C_m pF Capacity of the membrane
t_ref ms Duration of refractory period
V_reset mV Reset value for V_m after a spike
E_L mV Leak reversal potential
g_L nS Leak conductance
I_e pA Constant external input current
======== ======= =======================================


======== ======= ==================================
**Spike adaptation parameters**
---------------------------------------------------
a ns Subthreshold adaptation
b pA Spike-triggered adaptation
Delta_T mV Slope factor
tau_w ms Adaptation time constant
V_th mV Spike initiation threshold
V_peak mV Spike detection threshold
======== ======= ==================================

=========== ======= ===========================================================
**Synaptic parameters**
-------------------------------------------------------------------------------
E_ex mV Excitatory reversal potential
tau_syn_ex ms Rise time of excitatory synaptic conductance (alpha
function)
E_in mV Inhibitory reversal potential
tau_syn_in ms Rise time of the inhibitory synaptic conductance
(alpha function)
=========== ======= ===========================================================

============= ======= =========================================================
**Integration parameters**
-------------------------------------------------------------------------------
gsl_error_tol real This parameter controls the admissible error of the
GSL integrator. Reduce it if NEST complains about
numerical instabilities.
============= ======= =========================================================
\endverbatim
Receives:
SpikeEvent, CurrentEvent, DataLoggingRequest
Sends:
SpikeEvent
References:
\verbatim embed:rst
.. [1] Brette R and Gerstner W (2005). Adaptive Exponential
Integrate-and-Fire Model as an Effective Description of Neuronal
Activity. J Neurophysiol 94:3637-3642
DOI: https://doi.org/10.1152/jn.00686.2005
\endverbatim
Authors:
Marc-Oliver Gewaltig; full revision by Tanguy Fardet on December 2016
SeeAlso:
Source:
/var/www/debian/nest/nest-simulator-2.18.0/models/aeif_cond_alpha.h
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