Coupled Hodgkin Huxley Neurons with Stochastic Synaptic Inputs

The fluctuations of synaptic transmissions in neuronal systems are described, at the scale of refraction time, as inhomogeneous compound jump processes. Active properties of membrane potentials are also introduced and analytical estimates of useful probabilistic quantities can be deduced for biologically plausible dimensional reductions of Hodgkin Huxley type neuron models.

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