DERIVATION OF FITZHUGH-NAGUMO SYSTEM

D. H. Aku; A. M. Alhamdu; P. F. Useni

المؤلفون

D. H. Aku Department of Mathematics/Statistics, Nasarawa State Polytechnic, Lafia, Nasarawa State, Nigeria مؤلف
A. M. Alhamdu Department of Mathematics/Statistics, Nasarawa State Polytechnic, Lafia, Nasarawa State, Nigeria مؤلف
P. F. Useni Department of Mathematics/Statistics, Nasarawa State Polytechnic, Lafia, Nasarawa State, Nigeria مؤلف

الكلمات المفتاحية:

FitzHugh-Nagumo System، Gating Model، Excitable Cell Model

الملخص

This paper is concerned with a nonlinear system called the FitzHugh-Nagumo system. We concentrated on the derivation of the system from the aspect of the nature of excitable cell model and gating model of Hodgkin- Huxley system. Furthermore, reduction of a Hodgkin-Huxley system to a FitzHugh-Nagumo system is also investigated and we concluded by depicting the two different variations of FitzHugh-Nagumo system that are widely used by researchers in the fields of neurophysiology and cardiac muscle model. This paper evaluates further ways in which this FitzHugh-Nagumo system can be applied