Mathematical Aspects of Pattern Formation in Biological Systems
Language: English
Published by Springer London, 2016
- Softcover
- New
Condition: New
£ 69.10
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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.
Seller Inventory # 447761817
- Title
- Mathematical Aspects of Pattern Formation in Biological Systems
- Author
- Juncheng Wei|Matthias Winter
- Publisher
- Springer London
- Publication year
- 2016
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 1447172612
- ISBN 13
- 9781447172611
- Series
- Book 66 of 94: Applied Mathematical Sciences
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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