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Modelling and mathematical studies of neuronal NO‐synthase: NO versus NA theory

Saïd Guellal (ICES – L'Ecole Universitaire, La Roche sur Yon, France)
Alain Meulemans (Laboratoire de biophysique, Faculté de Médecine Xavier‐Bichat, Paris, France)
and
Salim Khelifa (Faculté de Mathématiques, Université des Sciences et de la Technologie Houari Boumediene, Alger, Algeria)

Kybernetes

ISSN: 0368-492X

Article publication date: 12 June 2009

168

Abstract

Purpose

The purpose of this paper is to present modelling and mathematical studies of neuronal NO‐synthase and discuss the case for nitric oxide (NO) versus nitroso‐arginine (NA) theory.

Design/methodology/approach

Introduces recent studies, NO studied models and the experimental model before considering the diffusion‐reaction model. Enzymatic kinetics and an analysis of systems and the NA diffusion equations in mice cortex are given. Numerical results are featured.

Findings

Based on these studies, both a bio‐mathematical and physiological conclusions are given. The way to protect the brain was to inhibit the NO‐synthase of the neurons during a stroke.

Originality/value

The paper is of value, particularly as stroke is the second leading cause of mortality worldwide and the most common cause of dementia in western countries. In Europe, each year, over 1,200,000 people experience a stroke.

Keywords

Citation

Guellal, S., Meulemans, A. and Khelifa, S. (2009), "Modelling and mathematical studies of neuronal NO‐synthase: NO versus NA theory", Kybernetes, Vol. 38 No. 5, pp. 725-732. https://doi.org/10.1108/03684920910962623

Publisher

:

Emerald Group Publishing Limited

Copyright © 2009, Emerald Group Publishing Limited

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