03093nam 22005295 450 991030013300332120200703002252.03-319-99100-010.1007/978-3-319-99100-9(CKB)4100000006999412(MiAaPQ)EBC5534471(DE-He213)978-3-319-99100-9(PPN)231464703(EXLCZ)99410000000699941220181002d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematical Modeling of Mitochondrial Swelling /by Messoud Efendiev1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (230 pages)3-319-99099-3 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.BiomathematicsDynamicsErgodic theoryCell physiologyPhysiological, Cellular and Medical Topicshttps://scigraph.springernature.com/ontologies/product-market-codes/M31020Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XCell Physiologyhttps://scigraph.springernature.com/ontologies/product-market-codes/L33010Biomathematics.Dynamics.Ergodic theory.Cell physiology.Physiological, Cellular and Medical Topics.Dynamical Systems and Ergodic Theory.Cell Physiology.616.042Efendiev Messoudauthttp://id.loc.gov/vocabulary/relators/aut767841BOOK9910300133003321Mathematical Modeling of Mitochondrial Swelling1563652UNINA