"Mathematical and Computational Biology." . . "SCIENCE / Life Sciences / Biology" . . "Equacions en derivades parcials." . . "Physiologie Mathématiques." . . "Anàlisi matemàtica." . . "Reaction-diffusion equations." . . "Systèmes biologiques Modèles mathématiques." . . "Genetics and Population Dynamics." . . . . . . "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."@en . . . . . . "Mathematical Aspects of Pattern Formation in Biological Systems"@en . "Mathematical Aspects of Pattern Formation in Biological Systems" . . . . . . . . . . . . . . . . . . . . . . . . "Electronic books"@en . . . . . "This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarizes, 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."@en . . . . "\"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\"--Back cover."@en . . . . . . . . . "Mathematical aspects of pattern formation in biological systems" . "Mathematical aspects of pattern formation in biological systems"@en . . . . . . "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."@en . . . . . . . . . . . . . . . "Physiological, Cellular and Medical Topics." . . "Mathematics." . . "Partial Differential Equations." . . "Springer Science+Business Media." . . "Mathématiques." . . "Mathématiques Génétique." . . "Biology" . . "Algorithmes génétiques." . . "Equacions diferencials el·líptiques." . . "Génétique Mathématiques." . . "Biomathematik." . . "Sistemes biològics." . . "Partielle Differentialgleichung." . . "Pattern formation (Biology)" . . "Equacions diferencials parabòliques." . . "Biologia del desenvolupament." . . "Biological systems Mathematical models." . . "Formation des modèles (Biologie)" . . "SCIENCE / Life Sciences / General" . . . . "System analysis." . . "Équations aux dérivées partielles." . . "NATURE / Reference" . . "Estabilitat." . .