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Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement.
Math. Meth. Appl. Sci. 41, 2162-2177 (2018)
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.
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
Diffusion-reaction System ; Mitochondria Swelling; Permeability Transition
ISSN (print) / ISBN
0170-4214
e-ISSN
1099-1476
Zeitschrift
Mathematical Methods in the Applied Sciences
Quellenangaben
Band: 41,
Heft: 5,
Seiten: 2162-2177
Verlag
Wiley
Verlagsort
Hoboken
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Computational Biology (ICB)