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Titlebook: Evolution Equations Arising in the Modelling of Life Sciences; Messoud Efendiev Book 2013 Springer Basel 2013 biofilm model.blood coagulat

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發(fā)表于 2025-3-21 19:04:35 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Evolution Equations Arising in the Modelling of Life Sciences
編輯Messoud Efendiev
視頻videohttp://file.papertrans.cn/318/317647/317647.mp4
概述Deals with a new class of nonlinear reaction-diffusion convective equations simultaneously comprising two kinds of degeneracy.Derives and analyses realistic life science models based on experimental d
叢書名稱International Series of Numerical Mathematics
圖書封面Titlebook: Evolution Equations Arising in the Modelling of Life Sciences;  Messoud Efendiev Book 2013 Springer Basel 2013 biofilm model.blood coagulat
描述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.
出版日期Book 2013
關(guān)鍵詞biofilm model; blood coagulation cascade in a perfusion experiment; diffusion, transport and interacti
版次1
doihttps://doi.org/10.1007/978-3-0348-0615-2
isbn_softcover978-3-0348-0780-7
isbn_ebook978-3-0348-0615-2Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightSpringer Basel 2013
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:08:47 | 只看該作者
Messoud EfendievDeals with a new class of nonlinear reaction-diffusion convective equations simultaneously comprising two kinds of degeneracy.Derives and analyses realistic life science models based on experimental d
板凳
發(fā)表于 2025-3-22 03:03:11 | 只看該作者
International Series of Numerical Mathematicshttp://image.papertrans.cn/e/image/317647.jpg
地板
發(fā)表于 2025-3-22 06:55:04 | 只看該作者
Friederike Paetz,Carsten D. Schultzote that, good estimates on the dimension of attractors in terms of biological (medical, physical etc.) parameters are crucial for the finite-dimensional reduction and at present there exists a highly developed machinery for obtaining such estimates. The best known estimates are usually obtained by
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發(fā)表于 2025-3-22 09:53:23 | 只看該作者
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發(fā)表于 2025-3-22 13:34:05 | 只看該作者
Martin Zauner,Michael Ring,Andreas B?hlerring random approximations. For the family of random approximations we derive explicit necessary and sufficient conditions such that solutions preserve positivity. These conditions imply the positivity of the solutions of the stochastic system for both Ito’s and Stratonovich’s interpretation of stoc
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發(fā)表于 2025-3-22 17:30:24 | 只看該作者
8#
發(fā)表于 2025-3-22 23:19:16 | 只看該作者
Thiago Renault,José Manoel Carvalho de Mellod coagulation treatment with a coagulation factor. More specifically we derive a mathematical model for a blood coagulation cascade set up in a perfusion experiment conducted at the pharmaceutical company Novo Nordisk A/S in Denmark. We investigate the influence of blood flow and diffusion on the bl
9#
發(fā)表于 2025-3-23 03:31:16 | 只看該作者
https://doi.org/10.1007/978-3-031-38359-5Chapter?1 has more of a teaching aid character and is dedicated to some basic concepts of linear elliptic boundary value problems (BVPs), Sobolev embedding theorems, properties of Nemytskii operators in Sobolev spaces (fractional as well) and H?lder spaces which we use in the analysis of deriving models in the next chapters.
10#
發(fā)表于 2025-3-23 07:24:38 | 只看該作者
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