Mathematical Aspects of Pattern Formation in Biological Systems

Inbunden, Engelska, 2013

AvJuncheng Wei,Matthias Winter

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Mathematical Aspects of Pattern Formation in Biological Systems

Produktinformation

Utgivningsdatum2013-10-01
Mått155 x 235 x 23 mm
Vikt636 g
FormatInbunden
SpråkEngelska
SerieApplied Mathematical Sciences
Antal sidor319
Upplaga2014
FörlagSpringer London Ltd
ISBN9781447155256

Tillhör följande kategorier

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.

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)