An uncoupled oscillator model for evoked potential dynamical modelling

Abstract

A mathematical model for evoked potentials is outlined. The model has been developed by considering phase synchronisation of the underlying neurological processes. The model, consisting of an ensemble of uncoupled linear oscillators with a gauussian distribution of frequencies is shown to reproduce the typical response of PlOO visual evoked response. The model structure is parallel in form and is considered to be physiologically realistic. It is also shown that the calculated behaviour of the ensemble can be generated by a 2" order linear differential equation with time varying coefficients, thus highlighting the fact that entirely different physical structures can generate identical responses