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100   $a20181002d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aMathematical Modeling of Mitochondrial Swelling /$fby Messoud Efendiev
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (230 pages)
311   $a3-319-99099-3 
327   $aFunctional 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.
330   $aThe 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.
606   $aBiomathematics
606   $aDynamics
606   $aErgodic theory
606   $aCell physiology
606   $aPhysiological, Cellular and Medical Topics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31020
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aCell Physiology$3https://scigraph.springernature.com/ontologies/product-market-codes/L33010
615  0$aBiomathematics.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aCell physiology.
615 14$aPhysiological, Cellular and Medical Topics.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aCell Physiology.
676   $a616.042
700   $aEfendiev$b Messoud$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767841
906   $aBOOK
912   $a9910300133003321
996   $aMathematical Modeling of Mitochondrial Swelling$91563652
997   $aUNINA