Mathematical Aspects of Pattern Formation in Biological Systems

AvJuncheng Wei,Matthias Winter

Inbunden, Engelska, 2013

Del 189 i serien Applied Mathematical Sciences

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Beskrivning

Mathematical Aspects of Pattern Formation in Biological Systems

Produktinformation

Utgivningsdatum:2013-10-01
Mått:155 x 235 x 23 mm
Vikt:636 g
Format:Inbunden
Språk:Engelska
Serie:Applied Mathematical Sciences
Antal sidor:319
Upplaga:2014
Förlag:Springer London Ltd
ISBN:9781447155256

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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.