Mathematical Aspects of Pattern Formation in Biological Systems

Juncheng Wei

ISBN 10: 1447155254 / ISBN 13: 9781447155256

Editore: Springer London Ltd, 2013

New copy - Usually dispatched within 7-11 working days. Codice articolo B9781447155256

Riassunto:

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.

Dalla quarta di copertina:

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.

Dati bibliografici

Titolo: Mathematical Aspects of Pattern Formation in...
Casa editrice: Springer London Ltd
Data di pubblicazione: 2013
Legatura: Hardback
Condizione: New