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Efendiyev, M.A. ; Muradova, A.* ; Muradov, N.* ; Zischka, H.

Local vs nonlocal models for mitochondria swelling.

Adv. Math. Sci. Appl. 30, 377-385 (2021)
In this paper, we consider deterministic, continuous, nonlocal models for the mitochondrial permeability transition, i.e. mitochondrial swelling. Based on seminal papers [1], [2], [3], [5] and the book [4], in which ODE-PDE and PDE-PDE local models for the swelling of mitochondria have been considered, we suggest here new nonlocal models for this process. This new nonlocal deterministic continuous model for mitochondrial swelling scenario contains nonlocal diffusion, nonlocal chemotaxis, as well as nonlocal source term. We would like to especially emphasize that some of the new nonlocal models that we consider in this paper do not have local counterparts in the literature.
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Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
Keywords Long-time Dynamics ; Mitochondrial Swelling ; Nonlocal Models ; Ode-pde ; Pde-pde Coupled Systems
ISSN (print) / ISBN 1343-4373
Journal Advances in Mathematical Sciences and Applications
Quellenangaben Volume: 30, Issue: 2, Pages: 377-385 Article Number: , Supplement: ,
Publisher Gakkōtosho
Publishing Place Tokyo
Non-patent literature Publications
Reviewing status Peer reviewed
Institute(s) Institute of Molecular Toxicology and Pharmacology (TOXI)
Institute of Computational Biology (ICB)