Solving the mathematical models of neurosciences and medicine

George Adomian

Mathematics and Computers in Simulation (MATCOM), 1995, vol. 40, issue 1, 107-114

Abstract: Problems such as conduction of nerve impulses, behavior of the immune system or of effects of medication, and many others, when modelled by differential equations, are amenable to solution by a mathematical procedure called the decomposition method. This method is efficient and accurate; it makes unnecessary the usual restrictive assumptions which change the problem, sacrificing realism for tractability, in order to use the well-known procedures. As an example, the Fitzhugh-Nagumo equation will be discussed.

Keywords: Nerve impulses; Neural networks; Mathematical modelling; Decomposition; Response of physiological systems; Simulation of membrane response (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:40:y:1995:i:1:p:107-114

DOI: 10.1016/0378-4754(95)00021-8

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