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[One of the possible regimes of bursting activity in the Hodgkin-Huxley model].

Iu S Chertkov

Abstract

A mathematical model of the Hodgkin--Huxley neuron membrane that comprises a "fast" second-order system and two "slow" equations is considered. The criterion for a self-oscillatory solution similar to the bursting activity in pacemaker neurons is found. The results obtained agree well with the computations carried out for the initial model.

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Available abstract

Key concepts: Bursting, Hodgkin–Huxley model, Computation, Order (exchange), Physics, Statistical physics, Mathematics, Neuroscience