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Mathematical modeling of mitochondri...

Efendiev, Messoud.

Mathematical modeling of mitochondrial swelling

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical modeling of mitochondrial swellingby Messoud Efendiev.
Author:	Efendiev, Messoud.
Published:	Cham :Springer International Publishing :2018.
Description:	xiv, 223 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mitochondrial pathologyMathematical models.
Online resource:	https://doi.org/10.1007/978-3-319-99100-9
ISBN:	9783319991009$q(electronic bk.)

Mathematical modeling of mitochondrial swelling
Efendiev, Messoud.

Mathematical modeling of mitochondrial swelling[electronic resource] /by Messoud Efendiev. - Cham :Springer International Publishing :2018. - xiv, 223 p. :ill. (some col.), digital ;24 cm.

Functional Spaces -- Biological Background -- Model Description -- Mathematical Analysis of Vitro Models -- The Swelling of Mitochondria: In Vivo -- The Swelling of Mitochondria: Degenerate Diffusion -- The Spatial Evolution of Mitochondria: PDE-PDE Systems.

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.

ISBN: 9783319991009$q(electronic bk.)

Standard No.: 10.1007/978-3-319-99100-9doiSubjects--Topical Terms:

823407
Mitochondrial pathology
--Mathematical models.

LC Class. No.: RB147.5 / .E346 2018

Dewey Class. No.: 616.39

Mathematical modeling of mitochondrial swelling
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245 1 0 $a Mathematical modeling of mitochondrial swelling $h [electronic resource] / $c by Messoud Efendiev.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiv, 223 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Functional Spaces -- Biological Background -- Model Description -- Mathematical Analysis of Vitro Models -- The Swelling of Mitochondria: In Vivo -- The Swelling of Mitochondria: Degenerate Diffusion -- The Spatial Evolution of Mitochondria: PDE-PDE Systems.
520 $a 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.
650 0 $a Mitochondrial pathology $x Mathematical models. $3 823407
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650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
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