# Command: diffusion_connection

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Name:

    diffusion_connection - Synapse type for instantaneous rate connections
      between neurons of type siegert_neuron.

Description:

    diffusion_connection is a connector to create
      instantaneous connections between neurons of type siegert_neuron. The
      connection type is identical to type rate_connection_instantaneous
      for instantaneous rate connections except for the two parameters
      drift_factor and diffusion_factor substituting the parameter weight.

      These two factor origin from the mean-field reduction of networks of
      leaky-integrate-and-fire neurons. In this reduction the input to the
      neurons is characterized by its mean and its variance. The mean is
      obtained by a sum over presynaptic activities (e.g as in eq.28 in
      [1]), where each term of the sum consists of the presynaptic activity
      multiplied with the drift_factor. Similarly, the variance is obtained
      by a sum over presynaptic activities (e.g as in eq.29 in [1]), where
      each term of the sum consists of the presynaptic activity multiplied
      with the diffusion_factor. Note that in general the drift and
      diffusion factors might differ from the ones given in eq. 28 and 29.,
      for example in case of a reduction on the single neuron level or in
      case of distributed in-degrees (see discussion in chapter 5.2 of [1])

      The values of the parameters delay and weight are ignored for
      connections of this type.

Transmits:

    DiffusionConnectionEvent

References:

      [1] Hahne, J., Dahmen, D., Schuecker, J., Frommer, A.,
      Bolten, M., Helias, M. and Diesmann, M. (2017).
      Integration of Continuous-Time Dynamics in a
      Spiking Neural Network Simulator.
      Front. Neuroinform. 11:34. doi: 10.3389/fninf.2017.00034

Author:

    David Dahmen, Jan Hahne, Jannis Schuecker

SeeAlso:

- siegert_neuron
- rate_connection_instantaneous

Source:

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

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