Parabolic Equations in Biology - Growth, reaction, movement and diffusion (Paperback, 1st ed. 2015)

This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes on Mathematical Modelling in the Life Sciences
Release date:	September 2015
First published:	2015
Authors:	Benoit Perthame
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Paperback
Pages:	199
Edition:	1st ed. 2015
ISBN-13:	978-3-319-19499-8
Languages:	English
Subtitles:	English
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Biology, life sciences > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
LSN:	3-319-19499-2
Barcode:	9783319194998

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