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Updated: May 18, 2026

Fabrication of Amyloid-β-Secreting Alginate Microbeads for Use in Modelling Alzheimer's Disease
Published on: July 6, 2019
A qualitative model for aggregation and diffusion of β-amyloid in Alzheimer's disease
Yves Achdou1, Bruno Franchi, Norina Marcello
1Laboratoire Jacques-Louis Lions, Sorbonne Paris Cité, Univ. Paris Diderot, UPMC, CNRS, UMR 7598, 75205 , Paris, France, achdou@math.jussieu.fr.
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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