Mathematical Analysis of a PDE-ODE Coupled Model of Mitochondrial Swelling with Degenerate Calcium Ion Diffusion
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Publication:5213178
DOI10.1137/18M1227421zbMath1429.35139OpenAlexW3003838742MaRDI QIDQ5213178
Mitsuharu Ôtani, Hermann J. Eberl, Messoud A. Efendiev
Publication date: 31 January 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1227421
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Cell biology (92C37)
Related Items (5)
Existence and properties of solutions of the extended play-type hysteresis model ⋮ Robust Stability of a Nonlinear ODE-PDE System ⋮ Stability of coupled jump diffusions and applications ⋮ Stability of Abstract Interconnected Systems with a Possibly Unstable Component ⋮ Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon
Cites Work
- Mathematical analysis of an \textit{in vivo} model of mitochondrial swelling
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Estimates of the Hölder constants of generalized solutions of degenerate parabolic equations
- Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems
- Time adaptive numerical solution of a highly degenerate diffusion-reaction biofilm model based on regularisation
- On an ODE-PDE coupling model of the mitochondrial swelling process
- Remarks on sublinear elliptic equations
- Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement
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