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Solving the mathematical models of neurosciences and medicine

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  • Adomian, George

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.

Suggested Citation

  • Adomian, George, 1995. "Solving the mathematical models of neurosciences and medicine," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 40(1), pages 107-114.
    • Handle: RePEc:eee:matcom:v:40:y:1995:i:1:p:107-114
    DOI: 10.1016/0378-4754(95)00021-8
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    References listed on IDEAS

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    1. Adomian, G., 1987. "Nonlinear oscillations in physical systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 29(3), pages 275-284.
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    Cited by:

    1. Lesnic, D., 2006. "Blow-up solutions obtained using the decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 776-787.

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