Spatially-extended nucleation-aggregation-fragmentation models for the dynamics of prion-like neurodegenerative protein-spreading in the brain and its connectome
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Publication:2288510
DOI10.1016/j.jtbi.2019.110102zbMath1429.92053OpenAlexW2994386009WikidataQ91758198 ScholiaQ91758198MaRDI QIDQ2288510
Alain Goriely, Sveva Fornari, A. Schäfer, Ellen Kuhl
Publication date: 20 January 2020
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2019.110102
Epidemiology (92D30) Neural biology (92C20) Biochemistry, molecular biology (92C40) Pathology, pathophysiology (92C32)
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Cites Work
- Unnamed Item
- Unnamed Item
- The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
- Coagulation-diffusion systems: Derivation and existence of solutions for the diffuse interface structure equations
- Some modelling issues in the theory of fragmentation-coagulation systems
- An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach
- The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
- The Becker-Döring equations at large times and their connection with the LSW theory of coarsening
- Global existence for the discrete diffusive coagulation-fragmentation equations in \(L^1\).
- Self-similar behaviour in the coagulation equations
- Proof of dynamical scaling in Smoluchowski's coagulation equation with constant kernel
- Diffusion versus network models as descriptions for the spread of prion diseases in the brain
- Existence of solutions to coagulation-fragmentation systems with diffusion
- Analysis of a generalized Becker—Döring model of self-reproducing micelles
- THE SPREAD OF PRION DISEASES IN THE BRAIN — MODELS OF REACTION AND TRANSPORT ON NETWORKS
- Trend to equilibrium in the Becker-Doring cluster equations
- Asymptotic solutions of the Becker-Döring equations
- Mass-conserving solutions to the discrete coagulation-fragmentation model with diffusion
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