Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement

Messoud A. Efendiev, Mitsuharu Otani, Hermann J. Eberl

    Research output: Contribution to journalArticle

    Abstract

    We analyze existence and asymptotic behavior of a system of semilinear diffusion-reaction equations that arises in the modeling of the mitochondrial swelling process. The model itself expands previous work in which the mitochondria were assumed to be stationary, whereas now their movement is modeled by linear diffusion. While in the previous model certain formal structural conditions were required for the rate functions describing the swelling process, we show that these are not required in the extended model. Numerical simulations are included to visualize the solutions of the new model and to compare them with the solutions of the previous model.

    Original languageEnglish
    Pages (from-to)2162-2177
    Number of pages16
    JournalMathematical Methods in the Applied Sciences
    Volume41
    Issue number5
    DOIs
    Publication statusPublished - 2018 Mar 30

    Fingerprint

    Mitochondria
    Swelling
    Linear Diffusion
    Rate Function
    Formal Model
    Describing functions
    Reaction-diffusion Equations
    Semilinear
    Model
    Expand
    Asymptotic Behavior
    Numerical Simulation
    Movement
    Modeling
    Computer simulation

    Keywords

    • diffusion-reaction system
    • mitochondria swelling

    ASJC Scopus subject areas

    • Mathematics(all)
    • Engineering(all)

    Cite this

    Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement. / Efendiev, Messoud A.; Otani, Mitsuharu; Eberl, Hermann J.

    In: Mathematical Methods in the Applied Sciences, Vol. 41, No. 5, 30.03.2018, p. 2162-2177.

    Research output: Contribution to journalArticle

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