eBook - ePub

Analysis of a Model for Epilepsy

Name: Analysis of a Model for Epilepsy
ISBN: 9781000594430

Application of a Max-Type Diﬀerence Equation to Mesial Temporal Lobe Epilepsy

Candace M. Kent,

David M. Chan,

160 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Analysis of a Model for Epilepsy

Application of a Max-Type Diﬀerence Equation to Mesial Temporal Lobe Epilepsy

Candace M. Kent,

David M. Chan,

About this book

In the 1960s and 1970s, mathematical biologists Sir Robert M. May, E.C. Pielou, and others utilized difference equations as models of ecological and epidemiological phenomena. Since then, with or without applications, the mathematics of difference equations has evolved into a field unto itself. Difference equations with the maximum (or the minimum or the "rank-type") function were rigorously investigated from the mid-1990s into the 2000s, without any applications in mind. These equations often involved arguments varying from reciprocal terms with parameters in the numerators to other special functions.

Recently, the authors of Analysis of a Model for Epilepsy: Application of a Max-Type Difference Equation to Mesial Temporal Lobe Epilepsy and their colleagues investigated the first known application of a "max-type" difference equation. Their equation is a phenomenological model of epileptic seizures. In this book, the authors expand on that research and present a more comprehensive development of mathematical, numerical, and biological results. Additionally, they describe the first documented instance of a novel dynamical behavior that they call rippled almost periodic behavior, which can be described as an unpredictable pseudo-periodic behavior.

Features:

Suitable for researchers in mathematical neuroscience and potentially as supplementary reading for postgraduate students

Thoroughly researched and replete with references

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Yes, you can access Analysis of a Model for Epilepsy by Candace M. Kent,David M. Chan in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Applied Mathematics. We have over one million books available in our catalogue for you to explore.