Parabolic Equations in Biology: Growth, reaction, movement and diffusion (Lecture Notes on Mathematical Modelling in the Life Sciences)

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9783319194998: Parabolic Equations in Biology: Growth, reaction, movement and diffusion (Lecture Notes on Mathematical Modelling in the Life Sciences)

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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About the Author:

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 Supérieure 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. Benoit Perthame was a plenary speaker at ICM Seoul, 2014.

Review:

“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)

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Book Description Springer International Publishing AG. Paperback. Book Condition: new. BRAND NEW, Parabolic Equations in Biology: Growth, Reaction, Movement and Diffusion: 2015, Benoit Perthame, 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. Bookseller Inventory # B9783319194998

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Book Description Springer. Book Condition: New. 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. . 2015. 1st ed. 2015. Paperback. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9783319194998

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