Mathematical Modelling and Numerical Simulations in Nerve Conduction

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

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Paper

Mathematical Modelling and Numerical Simulations in Nerve Conduction

Topics: Physiological Processes and Bio-Signal Modeling, Non-Linear Dynamics

In Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 0BIOSTEC, 283-288, 2015 , Lisbon, Portugal

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

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 (BIOSTEC 2015) - BIOSIGNALS; ISBN 978-989-758-069-7; ISSN 2184-4305, SciTePress, 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 (BIOSTEC 2015) - BIOSIGNALS},
year={2015},
pages={283-288},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005274702830288},
isbn={978-989-758-069-7},
issn={2184-4305},
}

TY - CONF

JO - Proceedings of the International Conference on Bio-inspired Systems and Signal Processing (BIOSTEC 2015) - BIOSIGNALS
TI - Mathematical Modelling and Numerical Simulations in Nerve Conduction
SN - 978-989-758-069-7
IS - 2184-4305
AU - J. Ford, N.
AU - M. Lima, P.
AU - M. Lumb, P.
PY - 2015
SP - 283
EP - 288
DO - 10.5220/0005274702830288
PB - SciTePress