# 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:
      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

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
      E_ex	 double	- Excitatory reversal potential in mV.
      tau_syn_ex double	- Rise time of excitatory synaptic conductance in ms (alpha
      function).
      E_in	 double	- Inhibitory reversal potential in mV.
      tau_syn_in double	- Rise time of the inhibitory synaptic conductance 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:

    Marc-Oliver Gewaltig; full revision by Tanguy Fardet on December 2016

SeeAlso:

- iaf_cond_alpha
- aeif_cond_exp

Source:

    /opt/conda/conda-bld/nest_1510212701067/work/nest-2.14.0/models/aeif_cond_alpha.h

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