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Mathematical modeling of mitochondrial swelling

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...

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Detalles Bibliográficos
Autor principal: Efendiev, Messoud
Lenguaje:eng
Publicado: Springer 2018
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-99100-9
http://cds.cern.ch/record/2646958
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author Efendiev, Messoud
author_facet Efendiev, Messoud
author_sort Efendiev, Messoud
collection CERN
description 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.
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spelling cern-26469582021-04-21T18:40:53Zdoi:10.1007/978-3-319-99100-9http://cds.cern.ch/record/2646958engEfendiev, MessoudMathematical modeling of mitochondrial swellingMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:26469582018
spellingShingle Mathematical Physics and Mathematics
Efendiev, Messoud
Mathematical modeling of mitochondrial swelling
title Mathematical modeling of mitochondrial swelling
title_full Mathematical modeling of mitochondrial swelling
title_fullStr Mathematical modeling of mitochondrial swelling
title_full_unstemmed Mathematical modeling of mitochondrial swelling
title_short Mathematical modeling of mitochondrial swelling
title_sort mathematical modeling of mitochondrial swelling
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-99100-9
http://cds.cern.ch/record/2646958
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