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Item Details
Title: PARABOLIC EQUATIONS IN BIOLOGY
GROWTH, REACTION, MOVEMENT AND DIFFUSION
Volume: 2015
By: Benoit Perthame
Format: Paperback

List price: £36.99


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ISBN 10: 3319194992
ISBN 13: 9783319194998
Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
Pub. date: 14 September, 2015
Edition: 2015 ed.
Series: Lecture Notes on Mathematical Modelling in the Life Sciences
Pages: 199
Language: English, Multiple languages
Description: Parabolic Equations in Biology
Synopsis: 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.
Illustrations: 26 black & white illustrations, 13 colour illustrations, biography
Publication: Switzerland
Imprint: Springer International Publishing AG
Returns: Returnable
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