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Mathematical Aspects of Pattern Formation in Biological Systems: 189 (Applied Mathematical Sciences) - Hardcover
Inhaltsangabe
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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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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Mathematical Aspects Of Pattern Formation In Biological Systems
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Mathematical Aspects of Pattern Formation in Biological Systems
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Mathematical Aspects of Pattern Formation in Biological Systems (Applied Mathematical Sciences, 189)
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Mathematical Aspects of Pattern Formation in Biological Systems
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Springer London, Springer London Okt 2013, 2013
ISBN 10: 1447155254
ISBN 13: 9781447155256
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Buch. Zustand: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 332 pp. Englisch. Artikel-Nr. 9781447155256
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Mathematical Aspects of Pattern Formation in Biological Systems
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Mathematical Aspects of Pattern Formation in Biological Systems
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9781447155256
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