The role of A[Formula: see text] and Tau proteins in Alzheimer's disease: a mathematical model on graphs.
Alzheimer’s disease
A and Tau proteins
Models on graphs
Numerical simulations
Smoluchowski equations
Journal
Journal of mathematical biology
ISSN: 1432-1416
Titre abrégé: J Math Biol
Pays: Germany
ID NLM: 7502105
Informations de publication
Date de publication:
30 08 2023
30 08 2023
Historique:
received:
17
02
2023
accepted:
13
08
2023
revised:
25
06
2023
medline:
31
8
2023
pubmed:
30
8
2023
entrez:
30
8
2023
Statut:
epublish
Résumé
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 [Formula: see text] 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.
Identifiants
pubmed: 37646953
doi: 10.1007/s00285-023-01985-7
pii: 10.1007/s00285-023-01985-7
pmc: PMC10468937
doi:
Substances chimiques
tau Proteins
0
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
49Informations de copyright
© 2023. The Author(s).
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