Astrocytic clearance and fragmentation of toxic proteins in Alzheimer's disease on large-scale brain networks

DOI10.1016/j.physd.2023.133839zbMath1521.92042MaRDI QIDQ6096522

Roderick V. Nicholas Melnik, Swadesh Pal, Hina Shaheen

Publication date: 12 September 2023

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Alzheimer's diseasemultiscale modellinglarge-scale brain networksnonlinear Smoluchowski equation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) Pathology, pathophysiology (92C32)

Cites Work

• 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
• Mathematical analysis for stochastic model of Alzheimer's disease
• Spatially-extended nucleation-aggregation-fragmentation models for the dynamics of prion-like neurodegenerative protein-spreading in the brain and its connectome
• Alzheimer's disease: a mathematical model for onset and progression

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