On an ode-pde coupling model of the mitochondrial swelling process

Sabine Eisenhofer, Messoud A. Efendiev, Mitsuharu Otani, Hans Zischka, Sabine Schulz

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    Mitochondrial swelling has huge impact to multicellular organisms since it triggers apoptosis, the programmed cell death. In this paper we present a new mathematical model of this phenomenon. As a novelty it includes spatial effects, which are of great importance for the in vivo process. Our model considers three mitochondrial subpopulations varying in the degree of swelling. The evolution of these groups is dependent on the present calcium concentration and is described by a system of ODEs, whereas the calcium propagation is modeled by a reaction-diffusion equation taking into account spatial effects. We analyze the derived model with respect to existence and long-time behavior of solutions and obtain a complete mathematical classification of the swelling process.

    Original languageEnglish
    Pages (from-to)1031-1057
    Number of pages27
    JournalDiscrete and Continuous Dynamical Systems - Series B
    Volume20
    Issue number4
    DOIs
    Publication statusPublished - 2015 Jun 1

    Fingerprint

    Swelling
    Cell death
    Calcium
    Apoptosis
    Long-time Behavior
    Behavior of Solutions
    Reaction-diffusion Equations
    Trigger
    Model
    Mathematical Model
    Propagation
    Mathematical models
    Dependent
    Cell

    Keywords

    • Long-time dynamics
    • Mitochondria
    • ODE-PDE coupling
    • Partial and complete swelling

    ASJC Scopus subject areas

    • Discrete Mathematics and Combinatorics
    • Applied Mathematics

    Cite this

    On an ode-pde coupling model of the mitochondrial swelling process. / Eisenhofer, Sabine; Efendiev, Messoud A.; Otani, Mitsuharu; Zischka, Hans; Schulz, Sabine.

    In: Discrete and Continuous Dynamical Systems - Series B, Vol. 20, No. 4, 01.06.2015, p. 1031-1057.

    Research output: Contribution to journalArticle

    Eisenhofer, Sabine ; Efendiev, Messoud A. ; Otani, Mitsuharu ; Zischka, Hans ; Schulz, Sabine. / On an ode-pde coupling model of the mitochondrial swelling process. In: Discrete and Continuous Dynamical Systems - Series B. 2015 ; Vol. 20, No. 4. pp. 1031-1057.
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