Microscopic and macroscopic models for the onset and progression of Alzheimer's disease
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Publication:4591262
DOI10.1088/1751-8121/aa83bdzbMath1376.92021arXiv1703.10774OpenAlexW2604623140MaRDI QIDQ4591262
Bruno Franchi, Maria Carla Tesi, Michiel Bertsch, Andrea Tosin
Publication date: 14 November 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.10774
Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Medical applications (general) (92C50) Transport processes in time-dependent statistical mechanics (82C70)
Related Items (8)
From a microscopic to a macroscopic model for Alzheimer disease: two-scale homogenization of the Smoluchowski equation in perforated domains ⋮ Neuron Scale Modeling of Prion Production with the Unfolded Protein Response ⋮ A reaction-diffusion model of spatial propagation of A\(\beta\) oligomers in early stage Alzheimer's disease ⋮ The role of \(\mathrm{A}\beta\) and tau proteins in Alzheimer's disease: a mathematical model on graphs ⋮ Smoluchowski Equation with Variable Coefficients in Perforated Domains: Homogenization and Applications to Mathematical Models in Medicine ⋮ The synergistic interplay of Amyloid beta and tau proteins in Alzheimer's disease: a compartmental mathematical model ⋮ Well-Posedness of a Mathematical Model for Alzheimer's Disease ⋮ The amyloid cascade hypothesis and Alzheimer’s disease: A mathematical model
Cites Work
- From a microscopic to a macroscopic model for Alzheimer disease: two-scale homogenization of the Smoluchowski equation in perforated domains
- Alzheimer's disease: analysis of a mathematical model incorporating the role of prions
- Kinetic models of opinion formation
- A qualitative model for aggregation and diffusion of \(\beta \)-amyloid in Alzheimer's disease
- Smoluchowski Equation with Variable Coefficients in Perforated Domains: Homogenization and Applications to Mathematical Models in Medicine
- Alzheimer's disease: a mathematical model for onset and progression
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