Parabolic Equations in Biology

Growth, reaction, movement and diffusion

Nonfiction, Science & Nature, Mathematics, Applied, Science
Cover of the book Parabolic Equations in Biology by Benoît Perthame, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Benoît Perthame ISBN: 9783319195001
Publisher: Springer International Publishing Publication: September 9, 2015
Imprint: Springer Language: English
Author: Benoît Perthame
ISBN: 9783319195001
Publisher: Springer International Publishing
Publication: September 9, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Mistrust by Benoît Perthame
Cover of the book Options Installment Strategies by Benoît Perthame
Cover of the book Advanced Hybrid Information Processing by Benoît Perthame
Cover of the book Robust Multimodal Cognitive Load Measurement by Benoît Perthame
Cover of the book Current Progress in Medical Mycology by Benoît Perthame
Cover of the book Income Modeling and Balancing by Benoît Perthame
Cover of the book Software Engineering Education for a Global E-Service Economy by Benoît Perthame
Cover of the book Complications in Acute Care Surgery by Benoît Perthame
Cover of the book The Semantics and Pragmatics of Quotation by Benoît Perthame
Cover of the book Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture by Benoît Perthame
Cover of the book Advances in NMR Spectroscopy for Lipid Oxidation Assessment by Benoît Perthame
Cover of the book Responsible Research and Innovation Actions in Science Education, Gender and Ethics by Benoît Perthame
Cover of the book Cage-based Performance Capture by Benoît Perthame
Cover of the book Business Models and ICT Technologies for the Fashion Supply Chain by Benoît Perthame
Cover of the book Forest Context and Policies in Portugal by Benoît Perthame
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy