In this Note we study amathematical model for the progression of Alzheimer'sDisease 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.

Bertsch, M., Franchi, B., Tesi, M.C., Tora, V. (2023). The role of Aβ and Tau proteins in Alzheimer’s disease: a mathematical model on graphs. JOURNAL OF MATHEMATICAL BIOLOGY, 87(3), 1-22 [10.1007/s00285-023-01985-7].

The role of Aβ and Tau proteins in Alzheimer’s disease: a mathematical model on graphs

Tesi, Maria Carla
Membro del Collaboration Group
;
2023

Abstract

In this Note we study amathematical model for the progression of Alzheimer'sDisease 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.
2023
Bertsch, M., Franchi, B., Tesi, M.C., Tora, V. (2023). The role of Aβ and Tau proteins in Alzheimer’s disease: a mathematical model on graphs. JOURNAL OF MATHEMATICAL BIOLOGY, 87(3), 1-22 [10.1007/s00285-023-01985-7].
Bertsch, Michiel; Franchi, Bruno; Tesi, Maria Carla; Tora, Veronica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/957534
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