<電子ブック>
Mathematical Aspects of Pattern Formation in Biological Systems / by Juncheng Wei, Matthias Winter
(Applied Mathematical Sciences. ISSN:2196968X ; 189)
版 | 1st ed. 2014. |
---|---|
出版者 | London : Springer London : Imprint: Springer |
出版年 | 2014 |
本文言語 | 英語 |
大きさ | XII, 319 p. 20 illus : online resource |
著者標目 | *Wei, Juncheng author Winter, Matthias author SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Biomathematics LCSH:Population genetics FREE:Differential Equations FREE:Mathematical and Computational Biology FREE:Population Genetics |
一般注記 | Introduction -- Existence of spikes for the Gierer-Meinhardt system in one dimension -- The Nonlocal Eigenvalue Problem (NLEP) -- Stability of spikes for the Gierer-Meinhardt system in one dimension -- Existence of spikes for the shadow Gierer-Meinhardt system -- Existence and stability of spikes for the Gierer-Meinhardt system in two dimensions -- The Gierer-Meinhardt system with inhomogeneous coefficients -- Other aspects of the Gierer-Meinhardt system -- The Gierer-Meinhardt system with saturation -- Spikes for other two-component reaction-diffusion systems -- Reaction-diffusion systems with many components -- Biological applications -- Appendix 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 HTTP:URL=https://doi.org/10.1007/978-1-4471-5526-3 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9781447155263 |
|
電子リソース |
|
EB00228498 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降