Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons

Hdl Handle:
http://hdl.handle.net/10034/322541
Title:
Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons
Authors:
Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M.
Abstract:
This paper is concerned with the approximate solution of a nonlinear mixed type functional differential equation (MTFDE) arising from nerve conduction theory. The equation considered describes conduction in a myelinated nerve axon. We search for a monotone solution of the equation defined in the whole real axis, which tends to given values at ±∞. We introduce new numerical methods for the solution of the equation, analyse their performance, and present and discuss the results of the numerical simulations.
Affiliation:
CEMAT, IST, Lisbon ; University of Chester ; University of Chester
Citation:
Applied Numerical Mathematics, 2014, 85, pp. 38–53.
Publisher:
Elsevier
Journal:
Applied Numerical Mathematics
Publication Date:
7-Jul-2014
URI:
http://hdl.handle.net/10034/322541
DOI:
1016/j.apnum.2014.06.0046.004
Additional Links:
http://www.journals.elsevier.com/applied-numerical-mathematics/
Type:
Article
Language:
en
Description:
NOTICE: this is the author’s version of a work that was accepted for publication in Applied Numerical Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Numerical Mathematics, 85, November 2014, pp. 38-53. DOI: 1016/j.apnum.2014.06.0046.004
ISSN:
0168-9274
EISSN:
1873-5460
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorLima, Pedro M.en
dc.contributor.authorFord, Neville J.en
dc.contributor.authorLumb, Patricia M.en
dc.date.accessioned2014-07-07T15:47:28Zen
dc.date.available2014-07-07T15:47:28Zen
dc.date.issued2014-07-07en
dc.identifier.citationApplied Numerical Mathematics, 2014, 85, pp. 38–53.en
dc.identifier.issn0168-9274en
dc.identifier.doi1016/j.apnum.2014.06.0046.004en
dc.identifier.urihttp://hdl.handle.net/10034/322541en
dc.descriptionNOTICE: this is the author’s version of a work that was accepted for publication in Applied Numerical Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Numerical Mathematics, 85, November 2014, pp. 38-53. DOI: 1016/j.apnum.2014.06.0046.004en
dc.description.abstractThis paper is concerned with the approximate solution of a nonlinear mixed type functional differential equation (MTFDE) arising from nerve conduction theory. The equation considered describes conduction in a myelinated nerve axon. We search for a monotone solution of the equation defined in the whole real axis, which tends to given values at ±∞. We introduce new numerical methods for the solution of the equation, analyse their performance, and present and discuss the results of the numerical simulations.en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttp://www.journals.elsevier.com/applied-numerical-mathematics/en
dc.subjectmathematical modellingen
dc.subjectcomputational mathematicsen
dc.titleComputational methods for a mathematical model of propagation of nerve impulses in myelinated axonsen
dc.typeArticleen
dc.identifier.eissn1873-5460en
dc.contributor.departmentCEMAT, IST, Lisbon ; University of Chester ; University of Chesteren
dc.identifier.journalApplied Numerical Mathematicsen
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