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Titlebook: Mathematical Modeling of Mitochondrial Swelling; Messoud Efendiev Book 2018 Springer Nature Switzerland AG 2018 35B40 35K45 37N25.swollen

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发表于 2025-3-21 18:59:15 | 显示全部楼层 |阅读模式
书目名称Mathematical Modeling of Mitochondrial Swelling
编辑Messoud Efendiev
视频video
概述Presents new mathematical models of mitochondrial swelling that take into account, for the first time, the spatial effects.Proves both the well-posedness of the models under consideration and extensiv
图书封面Titlebook: Mathematical Modeling of Mitochondrial Swelling;  Messoud Efendiev Book 2018 Springer Nature Switzerland AG 2018 35B40 35K45 37N25.swollen
描述.The mathematical models considered in this book can help to understand the swelling of mitochondria. For the first time, it presents new mathematical models of mitochondrial swelling that take into account, in particular, spatial effects. The results presented here could make it possible to predict properties of the underlying biological mechanisms. Taking into account that mitochondria could move within a cell, lead to a PDE-PDE model. The book discusses the well-posedness and long-term dynamics of solutions, depending on boundary conditions reflecting the in vitro and in vivo cases. These analytical and numerical results have inspired colleagues from the Institute of Pharmacology and Toxicology of the Helmholtz Center Munich to design new experiments justifying the theoretical and numerical results that are obtained. The book is intended for graduates students and researchers with a solid mathematical background and an interest in cell biology..
出版日期Book 2018
关键词35B40 35K45 37N25; swollen mitochondria; calcium evolution; apoptosis; boundary conditions; spreading cal
版次1
doihttps://doi.org/10.1007/978-3-319-99100-9
isbn_softcover978-3-030-07567-5
isbn_ebook978-3-319-99100-9
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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发表于 2025-3-21 23:39:50 | 显示全部楼层
Model Description,ions: Sect. 3.1 is devoted to existing models that are focused on the evolution in time of mitochondria and, as a consequence, are described by ordinary differential equations (ODE models); they do not take into account local effects and only work with mean values over the whole domain. Coming from
发表于 2025-3-22 02:47:08 | 显示全部楼层
Mathematical Analysis of Vitro Models,ained model and prove the well posedness of the PDE-ODE systems corresponding to it. Having ordinary differential equations describing the evolution in time of three subpopulations of mitochondria indicates that we assume the mitochondria in the test tube, as well as within cells, do not move in any
发表于 2025-3-22 07:59:26 | 显示全部楼层
The Swelling of Mitochondria: In Vivo,tube. Here there are three main factors that differ a great deal from the in vitro case, which was considered in Chap. ., that is: .This chapter consists of two subsections. In Sect. 5.4, we formulate mitochondria swelling scenario in vivo as a PDE-ODE system with Robin boundary conditions, which in
发表于 2025-3-22 11:22:37 | 显示全部楼层
The Swelling of Mitochondria: Degenerate Diffusion,the well posedness of solutions under homogeneous Dirichlet boundary conditions. Note that we cannot apply the methods developed in the previous chapters for nondegenerate diffusion and new methods have been developed in order to study both well posedness and asymptotic behavior of solutions. In thi
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发表于 2025-3-22 23:24:09 | 显示全部楼层
Messoud Efendievecutive historical phases of capitalist production since 1825] are not subject to any serious reservations, they are not sufficient proof of the existence of long-range cycles. To prove this theory it would be necessary to show that there exists a causal relation between two consecutive phases of th
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发表于 2025-3-23 05:52:06 | 显示全部楼层
Messoud Efendievecutive historical phases of capitalist production since 1825] are not subject to any serious reservations, they are not sufficient proof of the existence of long-range cycles. To prove this theory it would be necessary to show that there exists a causal relation between two consecutive phases of th
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