Parabolic equations in biology : growth, reaction, movement and diffusion /

Saved in:

Bibliographic Details
Author / Creator:	Perthame, B., author.
Imprint:	Cham : Springer, 2015.
Description:	1 online resource (xii, 199 pages) : illustrations (some color).
Language:	English
Series:	Lecture notes on mathematical modelling in the life sciences, 2193-4789 Lecture notes on mathematical modelling in the life sciences,
Subject:	Differential equations, Parabolic. Computational biology. Biomathematics. Biomathematics. Computational biology. Differential equations, Parabolic.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11096181

Hidden Bibliographic Details
ISBN:	9783319195001 331919500X 3319194992 9783319194998 9783319194998
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed September 16, 2015).
Summary:	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.
Other form:	Printed edition: 9783319194998
Standard no.:	10.1007/978-3-319-19500-1

Similar Items