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Authors: N. J. Ford 1 ; P. M. Lima 2 and P. M. Lumb 1

Affiliations: 1 University of Chester, United Kingdom ; 2 Johannes Kepler University, Austria

ISBN: 978-989-758-069-7

Keyword(s): Nerve Conduction, Myelinated Axon, Discrete FitzHugh-Nagumo Equation, Newton Method, Finite Difference Method.

Related Ontology Subjects/Areas/Topics: Biomedical Engineering ; Biomedical Signal Processing ; Physiological Processes and Bio-Signal Modeling, Non-Linear Dynamics

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.

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Paper citation in several formats:
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

@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},
}

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

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