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

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

    研究成果: Article査読

    2 被引用数 (Scopus)

    抄録

    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.

    本文言語English
    ページ(範囲)2162-2177
    ページ数16
    ジャーナルMathematical Methods in the Applied Sciences
    41
    5
    DOI
    出版ステータスPublished - 2018 3 30

    ASJC Scopus subject areas

    • Mathematics(all)
    • Engineering(all)

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