Solving the mathematical models of neurosciences and medicine

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.