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Parabolic Equations in Biology: Growth, reaction, movement and diffusion
Benoit Perthame
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Description for Parabolic Equations in Biology: Growth, reaction, movement and diffusion
Paperback. Series: Lecture Notes on Mathematical Modelling in the Life Sciences. Num Pages: 199 pages, 26 black & white illustrations, 13 colour illustrations, biography. BIC Classification: PBT; PBWH; PS. Category: (P) Professional & Vocational. Dimension: 245 x 159 x 15. Weight in Grams: 348.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Paperback
Publication date
2015
Series
Lecture Notes on Mathematical Modelling in the Life Sciences
Condition
New
Weight
329 g
Number of Pages
199
Place of Publication
Cham, Switzerland
ISBN
9783319194998
SKU
V9783319194998
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Benoit Perthame
Benoit Perthame is presently a Professor at the University Pierre et Marie Curie where he heads the Laboratoire Jacques-Louis Lions. Before that he was a professor at Ecole Normale Superieure in Paris where he begun to develop a research ideated to several aspects of mathematical biology: collective motion of cells, adaptation and evolution theory, modeling in tumor growth and therapy. ... Read more
Reviews for Parabolic Equations in Biology: Growth, reaction, movement and diffusion
This book presents a variety of phenomena arising in the analysis of partial differential equations modelling of biological, physical and chemical processes. ... This book can well serve as a textbook for a course on master's level. Exercise problems are given in each chapter. (Jonathan Zinsl, zbMATH 1333.35001, 2016)