# 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:
      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).

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

      Authors: Stefan Bucher, Marc-Oliver Gewaltig.

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

SeeAlso:

- iaf_cond_alpha
- aeif_cond_exp
- aeif_cond_alpha

Source:

    /opt/conda/conda-bld/nest_1524088722951/work/nest-2.14.0/models/aeif_cond_alpha_RK5.h

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