In this paper we present a mathematical model for the aggregation and diffusion of Aβ amyloid in the brain affected by Alzheimer's disease, at the early stage of the disease. The model is based on a classical discrete Smoluchowski aggregation equation modified to take diffusion into account. We also describe a numerical scheme and discuss the results of the simulations in the light of the recent biomedical literature.

### A qualitative model for aggregation and diffusion of $$\beta$$ -amyloid in Alzheimer’s disease

#### Abstract

In this paper we present a mathematical model for the aggregation and diffusion of Aβ amyloid in the brain affected by Alzheimer's disease, at the early stage of the disease. The model is based on a classical discrete Smoluchowski aggregation equation modified to take diffusion into account. We also describe a numerical scheme and discuss the results of the simulations in the light of the recent biomedical literature.
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Yves Achdou;Bruno Franchi;Norina Marcello;Maria Carla Tesi
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/301117
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