2022/12/28 by Michiel Bertsch, Bruno Franchi, Bertsch, Michiel +5
Computer Science · Medicine · #05C90 #35A01 #35B40 #35Q92 #92C50 #Alzheimer's disease research and treatments #Analysis of PDEs (math.AP) #Cholinesterase and Neurodegenerative Diseases #Computational Drug Discovery Methods #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2212.13868
openalex publication_date 2022/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this Note we study a mathematical model for the progression of Alzheimer's Disease in the human brain. The novelty of our approach consists in the representation of the brain as two superposed graphs where toxic proteins diffuse, the connectivity graph which represents the neural network, and the proximity graph which takes into account the extracellular space. Toxic proteins such as beta-amyloid and tau play in fact a crucial role in the development of Alzheimer's disease and, separately, have been targets of medical treatments. Recent biomedical literature stresses the potential impact of the synergetic action of these proteins. We numerically test various modelling hypotheses which confirm the relevance of this synergy.