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A coupled PDE/ODE model of mitochondrial swelling: Large-time behavior of the homogeneous Dirichlet problem.
J. Coupled Syst. Multiscale Dyn., DOI: 10.1166/jcsmd.2015.1070 (2015)
In this paper, we are continuing our analysis of a coupled PDE/ODE model of calcium induced mitochondria swelling. We study the long term behavior under Dirichlet boundary conditions, for which the analytical machinery that has been developed previously for Neumann conditions does not apply and must be extended. It is shown that in this setting the calcium ion concentration will tend to zero and that in general complete swelling will not take place as t→οο. This phenomenon, which is due to an implicitly enforced calcium ion flux across the boundary, distinguishes the situation under Dirichlet conditions from the situation under Neumann conditions that were analyzed previously. This is a preliminary study in which the analytical arguments are developed that will be required lateron to study a more realistic model of the biological system, where Robin and/or mixed boundary conditions must be considered.
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
ISSN (print) / ISBN
2330-152X
e-ISSN
2330-1538
Verlag
American Scientific Publishers (ASP)
Verlagsort
Valencia, Calif.
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Computational Biology (ICB)