Analysis and Numerical Simulations of a Reaction-Diffusion Model with Fixed Active Bodies
DOI10.1137/20M1343385zbMath1467.92079OpenAlexW3175026965MaRDI QIDQ5002507
Publication date: 27 July 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1343385
reaction-diffusionCrank-Nicolson schemeactivation-inhibition processAlzheimer's disease modelingwell-posedness of solutions
Reaction-diffusion equations (35K57) Biochemistry, molecular biology (92C40) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Pathology, pathophysiology (92C32)
Cites Work
- Unnamed Item
- Alzheimer's disease: analysis of a mathematical model incorporating the role of prions
- Compact sets in the space \(L^ p(0,T;B)\)
- The physiological significance of negative cooperativity revisited
- Stability analysis of a steady state of a model describing Alzheimer's disease and interactions with prion proteins
- Alzheimer's disease and prion: an \textit{in vitro} mathematical model
- Modeling the spatial propagation of Aβ oligomers in Alzheimer’s Disease
- Alzheimer's disease: a mathematical model for onset and progression
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