A probabilistic model of neuronal integration

A probabilistic estimation of an integrate and fire model commonly used for performing biologically plausible neurocomputing is proposed. It processes the temporal information of the input stimuli as a group of cells - the stellate or Chopper cells - of the Cochlear Nucleus. The main properties are the same as the ones of the common Hodgkin-Huxley system. This model has a limited set of parameters : time constant of the membrane potential, threshold level, refractory durations. It is defined by a delay differential system having a low cost of computation. Original properties such as blocking and reset are introduced, providing a control of the oscillatory behaviour useful for building functional neural nets. In order to recover the parameters of neurons, we also analyze the first interspike interval histogram