Eur. Phys. J. Special Topics 227, 767–776 (2018)
https://doi.org/10.1140/epjst/e2018-700140-1

Regular Article

Effects of temperature and electromagnetic induction on action potential of Hodgkin–Huxley model

Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, P.R. China

^a e-mail: jiay@mail.ccnu.edu.cn

Received: 26 December 2017
Received in final form: 15 March 2018
Published online: 19 October 2018

Abstract

Based on an improved the Hodgkin–Huxley (HH) neuron model which is driven by the electromagnetic induction, the effects of temperature and electromagnetic induction on the action potential of neuron are investigated by numerical computations. It is very interesting that, under the fixed condition of electromagnetic induction, there is a region for the electrical activity of neuron in the external current and temperature parameters plane, the region of electrical firing is similar to the Arnold’ tongue-like structure, and the Arnold’ tongue originates from the nonlinear variation of temperature with the increasing of threshold external current. The effects of temperature and electromagnetic induction on neuronic electrical activity are respectively discussed by using numerical simulations. Our results provide new insights into the roles of temperature in the improved HH neuron model, the existence of Arnold’ tongue-like structure might give some insights for the treatment of neurological diseases such as the epilepsia.