Analysis of a model for epilepsy : application of a max-type difference equation to mesial temporal lobe epilepsy /
In the 1960s and 1970s, mathematical biologists Sir Robert M. May, E.C. Pielou, and others utilized dierence equations as models of ecological and epidemiological phenomena. Since then, with or without applications, the mathematics of dierence equations has evolved into a eld unto itself. Dierence e...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton :
Chapman & Hall/CRC,
2022.
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| Series: | Chapman & Hall/CRC monographs and research notes in mathematics
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | In the 1960s and 1970s, mathematical biologists Sir Robert M. May, E.C. Pielou, and others utilized dierence equations as models of ecological and epidemiological phenomena. Since then, with or without applications, the mathematics of dierence equations has evolved into a eld unto itself. Dierence 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 rst known application of a "max-type" dierence 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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| Physical Description: | 1 online resource (1 volume) : illustrations (black and white). |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781003285380 1003285384 9781000594430 1000594432 9781000594379 1000594378 |