Mathematical Modelling and Numerical Simulations in Nerve Conduction

N. J. Ford, P. M. Lima, P. M. Lumb

2015

Abstract

In this paper we are concerned with the numerical solution of the discrete FitzHugh-Nagumo equation. This equation describes the propagation of impulses across a myelinated axon. We analyse the asymptotic behaviour of the solutions of the considered equation and numerical approximations are computed by a new algorithm, based on a finite difference scheme and on the Newton method. The efficiency of the method is discussed and its performance is illustrated by a set of numerical examples.

References

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Paper Citation


in Harvard Style

J. Ford N., M. Lima P. and M. Lumb P. (2015). Mathematical Modelling and Numerical Simulations in Nerve Conduction . In Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2015) ISBN 978-989-758-069-7, pages 283-288. DOI: 10.5220/0005274702830288


in Bibtex Style

@conference{biosignals15,
author={N. J. Ford and P. M. Lima and P. M. Lumb},
title={Mathematical Modelling and Numerical Simulations in Nerve Conduction},
booktitle={Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2015)},
year={2015},
pages={283-288},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005274702830288},
isbn={978-989-758-069-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2015)
TI - Mathematical Modelling and Numerical Simulations in Nerve Conduction
SN - 978-989-758-069-7
AU - J. Ford N.
AU - M. Lima P.
AU - M. Lumb P.
PY - 2015
SP - 283
EP - 288
DO - 10.5220/0005274702830288