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Efendiyev, M.A. ; Otani, M.* ; Eberl, H.J.*

Mathematical analysis of an in vivo model of mitochondrial swelling.

Discrete Contin. Dyn. Syst.-Ser. A 37, 10-20 (2017)
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We analyze the effect of Robin boundary conditions in a mathematical model for a mitochondria swelling in a living organism. This is a coupled PDE/ODE model for the dependent variables calcium ion contration and three fractions of mitochondria that are distinguished by their state of swelling activity. The model assumes that the boundary is a permeable 'membrane', through which calcium ions can both enter or leave the cell. Under biologically relevant assumptions on the data, we prove the well-posedness of solutions of the model and study the asymptotic behavior of its solutions. We augment the analysis of the model with computer simulations that illustrate the theoretically obtained results.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Longtim Dynamics ; Mitochondria ; Partial And Complete Swelling ; Pde/ode Coupling ; Robin Boundary Conditions; Permeability Transition
ISSN (print) / ISBN 1078-0947
e-ISSN 1553-5231
Quellenangaben Band: 37, Heft: 7, Seiten: 10-20 Artikelnummer: , Supplement: ,
Verlag American Institute of Mathematical Sciences (AIMS)
Verlagsort Springfield