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Parabolic Equations in Biology : Growth, reaction, movement and diffusion

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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.

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Detail Information

Series Title

Lecture Notes on Mathematical Modelling in the Life Sciences

Call Number

511.8 PER p

Publisher

Cham : Springer., 2015

Collation

XII, 199 halaman

Language

English

ISBN/ISSN

978-3-319-19500-1

Classification

511.8

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Mathematical models

Specific Detail Info

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Statement of Responsibility

Benoît Perthame

Other Information

Cataloger

maya

Source

-

Validator

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