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Mathematical Aspects of Pattern Formation in Biological Systems

Springer London,
Buch
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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.

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Titel: Mathematical Aspects of Pattern Formation in Biological Systems
Autoren/Herausgeber: Juncheng Wei, Matthias Winter
Aus der Reihe: Applied Mathematical Sciences
Ausgabe: Softcover reprint of the original 1st ed. 2014

ISBN/EAN: 9781447172611

Seitenzahl: 319
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 510 g
Sprache: Englisch

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 models.The approach adopted in the monograph is based on the following paradigms:• Examine the existence of spiky steady states in reaction-diffusion systems and select as observable patterns only the stable ones• Begin by exploring spatially homogeneous two-component activator-inhibitor systems in one or two space dimensions• Extend the studies by considering extra effects or related systems, each motivated by their specific roles in developmental biology, such as spatial inhomogeneities, large reaction rates, altered boundary conditions, saturation terms, convection, many-component systems.Mathematical Aspects of Pattern Formation in Biological Systems will be of interest to graduate students and researchers who are active in reaction-diffusion systems, pattern formation and mathematical biology.

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