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Mathematical Aspects of Pattern Formation in Biological Systems

種類:
電子ブック
責任表示:
by Juncheng Wei, Matthias Winter
出版情報:
London : Springer London : Imprint: Springer, 2014
著者名:
シリーズ名:
Applied Mathematical Sciences ; 189
ISBN:
9781447155263 [1447155262]  CiNii Books  Calil
注記:
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. Mat
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