Mathematical analysis of an in vivo model of mitochondrial swelling

Messoud Efendiev, Mitsuharu Otani, Hermann J. Eberl

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)4131-4158
    Number of pages28
    JournalDiscrete and Continuous Dynamical Systems- Series A
    Volume37
    Issue number7
    DOIs
    Publication statusPublished - 2017 Jul 1

    Keywords

    • Longtim dynamics
    • Mitochondria
    • Partial and complete swelling
    • PDE/ODE coupling
    • Robin boundary conditions

    ASJC Scopus subject areas

    • Analysis
    • Discrete Mathematics and Combinatorics
    • Applied Mathematics

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