Mathematical Aspects of Pattern Formation in Biological Systems / Applied Mathematical Sciences Bd.189 (PDF)

Name: Mathematical Aspects of Pattern Formation in Biological Systems / Applied Mathematical Sciences Bd.189
Brand: Springer-Verlag GmbH
SKU: 55488431
Price: 90.94 EUR
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(Sprache: Englisch)

Autoren: Juncheng Wei , Matthias Winter

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Mathematical Aspects of Pattern Formation in Biological Systems / Applied Mathematical Sciences Bd.189, Juncheng Wei, Matthias Winter

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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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Bibliographische Angaben

Autoren: Juncheng Wei , Matthias Winter
2013, 2014, 319 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 1447155262
ISBN-13: 9781447155263
Erscheinungsdatum: 18.09.2013

Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.

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Größe: 2.89 MB
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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 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)

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