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Enzymatic kinetics and an analysis of systems and the NA diffusion equations in mice cortex are given. Numerical results are featured.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>Based on these studies, both a bio\u2010mathematical and physiological conclusions are given. The way to protect the brain was to inhibit the NO\u2010synthase of the neurons during a stroke.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>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. 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