Mathematical Aspects of Pattern Formation in Biological Systems

AvJuncheng Wei,Matthias Winter

Häftad, Engelska, 2016

Del 189 i serien Applied Mathematical Sciences

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Beskrivning

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 are encountered in biological systems.

Produktinformation

Utgivningsdatum:2016-08-27
Mått:155 x 235 x 19 mm
Vikt:505 g
Format:Häftad
Språk:Engelska
Serie:Applied Mathematical Sciences
Antal sidor:319
Förlag:Springer London Ltd
ISBN:9781447172611

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Recensioner i media

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 solutions. ... It is indeed written for advanced graduates and experts interested in the mathematics of pattern formation and reaction-diffusion equations. ... this is a good reference source for various advanced theories and mathematical applications in this field." (J. Michel Tchuenche, zbMATH, Vol. 1295, 2014)

Innehållsförteckning

Introduction.- 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.- Appendix.