Command: aeif_cond_alpha_RK5

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Name:
aeif_cond_alpha_RK5 - Conductance based exponential integrate-and-fire
neuron model according to Brette and Gerstner (2005)
Description:
aeif_cond_alpha_RK5 is the adaptive exponential integrate and fire neuron
according to Brette and Gerstner (2005).
Synaptic conductances are modelled as alpha-functions.

This implementation uses a 5th order Runge-Kutta solver with adaptive stepsize
to integrate the differential equation (see Numerical Recipes 3rd Edition,
Press et al. 2007, Ch. 17.2).

The membrane potential is given by the following differential equation:
@f[
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
@f]
and

@f[ \tau_w * 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)
=========== ======= ===========================================================

========= ======= =========================================================
**Numerical integration parameters**
---------------------------------------------------------------------------
HMIN ms Minimal stepsize for numerical integration (default 0.001ms)
MAXERR mV Error estimate tolerance for adaptive stepsize control
(steps accepted if err<=MAXERR).
Note that the error refers to the difference between the
4th and 5th order RK terms. Default 1e-10 mV.
========= ======= =========================================================

\endverbatim

• Authors: Stefan Bucher, Marc-Oliver Gewaltig.
Receives:
SpikeEvent, CurrentEvent, DataLoggingRequest

\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
Sends:
SpikeEvent
SeeAlso:
Source:
/var/www/debian/nest/nest-simulator-2.18.0/models/aeif_cond_alpha_RK5.h
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