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Mathematical aspects of pattern formation in biological systems

Author: Juncheng Wei; Matthias Winter, (Mathematician)
Publisher: London : Springer, [2013]
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 189.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to phenomena in nature. Of particular concern are large-amplitude patterns far from equilibrium in biologically relevant  Read more...
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Additional Physical Format: E-book:
Wei, Juncheng,
Mathematical aspects of pattern formation in biological systems
1968-
(OCoLC)859673638
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Juncheng Wei; Matthias Winter, (Mathematician)
ISBN: 9781447155256 1447155254
OCLC Number: 857974005
Description: xii, 319 pages : illustrations ; 25 cm.
Contents: Existence of spikes for the Gierer-Meinhardt system in one dimension --
The nonlocal eigenvalue problem (NLEP) --
Stability of spikes for the Gierer-Meinhardt system in one dimension --
Existence of spikes for the shadow Gierer-Meinhardt system --
Existence and stability of spikes for the Gierer-Meinhardt system in two dimensions --
The Gierer-Meinhardt system with inhomogeneous coefficients --
Other aspects of the Gierer-Meinhardt system --
The Gierer-Meinhardt system with saturation --
Spikes for other two-component reaction-diffusion systems --
Reaction-diffusion systems with many components --
Biological applications.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 189.
Responsibility: Juncheng Wei, Matthias Winter.

Abstract:

Focusing on large-amplitude patterns far from equilibrium in biologically relevant models, this book summarizes and expands on fifteen years of results in the mathematical analysis of patterns which  Read more...

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From the book reviews:"This book deals with the mathematical analysis of patterns encountered in biological systems, using a variety of functional analysis methods to prove the existence of Read more...

 
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