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Evolution Equations Arising in the Modelling of Life Sciences / by Messoud Efendiev
(International Series of Numerical Mathematics. ISSN:22966072 ; 163)
版 | 1st ed. 2013. |
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出版者 | Basel : Springer Basel : Imprint: Birkhäuser |
出版年 | 2013 |
本文言語 | 英語 |
大きさ | XII, 217 p : online resource |
著者標目 | *Efendiev, Messoud author SpringerLink (Online service) |
件 名 | LCSH:Biomathematics LCSH:Differential equations LCSH:Ecology LCSH:Bioinformatics FREE:Mathematical and Computational Biology FREE:Differential Equations FREE:Theoretical and Statistical Ecology FREE:Computational and Systems Biology |
一般注記 | Preface -- 1 Auxiliary Materials -- 2 Global attractors for autonomous evolution equations -- 3 Verifying life science models containing diffusion, transport and interaction of species -- 4 Positivity criterion for systems of stochastic PDEs -- Existence and longtime behaviour of a biofilm model -- 6 The blood coagulation cascade in a perfusion experiment: example from pharmaceutical industry -- Index This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically HTTP:URL=https://doi.org/10.1007/978-3-0348-0615-2 |
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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 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783034806152 |
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EB00239296 |
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データ種別 | 電子ブック |
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分 類 | LCC:QH323.5 LCC:QH324.2-324.25 DC23:570.285 |
書誌ID | 4000116618 |
ISBN | 9783034806152 |
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※2017年9月4日以降