Mathematical analysis of an \textit{in vivo} model of mitochondrial swelling

DOI10.3934/dcds.2017176zbMath1360.35024OpenAlexW2606693186MaRDI QIDQ524541

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

Publication date: 3 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017176

zbMATH Keywords

Robin boundary conditionsmitochondrialongtime dynamicspartial and complete swellingPDE/ODE coupling

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dynamical systems in biology (37N25) Initial value problems for second-order parabolic systems (35K45)

Related Items

Bounds for global solutions of a reaction diffusion system with the Robin boundary conditions, Mathematical Analysis of a PDE-ODE Coupled Model of Mitochondrial Swelling with Degenerate Calcium Ion Diffusion, Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon

Cites Work

• Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems
• Infinite-dimensional dynamical systems in mechanics and physics.
• On an ODE-PDE coupling model of the mitochondrial swelling process
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item