Synopsis
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 [DC] (2935705027 /28.08.2020)
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Mathematical Aspects of Pattern Formation in Biological Systems
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Springer London Aug 2016, 2016
ISBN 10 : 1447172612
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - 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. 332 pp. Englisch. N° de réf. du vendeur 9781447172611
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Self-contained and includes rigorous proofs, often supported by numerical simulationsContains an introduction to mathematical methods in nonlinear functional analysis and partial differential equations Liapunov-Schmidt reduction and nonlocal eige. N° de réf. du vendeur 447761817
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Mathematical Aspects of Pattern Formation in Biological Systems
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Springer London Ltd, 2016
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ISBN 13 : 9781447172611
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Mathematical Aspects of Pattern Formation in Biological Systems
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Springer London, Springer London Aug 2016, 2016
ISBN 10 : 1447172612
ISBN 13 : 9781447172611
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. 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. N° de réf. du vendeur 9781447172611
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Taschenbuch. Etat : Neu. Mathematical Aspects of Pattern Formation in Biological Systems | Matthias Winter (u. a.) | Taschenbuch | xii | Englisch | 2016 | Springer | EAN 9781447172611 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 103446464
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Mathematical Aspects of Pattern Formation in Biological Systems
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Springer London, Springer London, 2016
ISBN 10 : 1447172612
ISBN 13 : 9781447172611
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9781447172611
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