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, Diesmann, M. (2017). Integration of continuous-time dynamics in a spiking neural network simulator. Frontiers in Neuroinformatics, 11:34. DOI: https://doi.org/10.3389/fninf.2017.00034 See also ++++++++ :doc:`Synapse `, :doc:`Instantaneous Rate `