title: A qualitative model for aggregation and diffusion of β-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.
authors.affiliation: Laboratoire Jacques-Louis Lions, Sorbonne Paris Cité, Univ. Paris Diderot, UPMC, CNRS, UMR 7598, 75205 , Paris, France, achdou@math.jussieu.fr.
authors.forename: Yves
authors.initials: Y
authors.lastname: Achdou
authors.forename: Bruno
authors.initials: B
authors.lastname: Franchi
authors.forename: Norina
authors.initials: N
authors.lastname: Marcello
authors.forename: Maria Carla
authors.initials: MC
authors.lastname: Tesi
mesh_terms: D000544:Alzheimer Disease / Q000503:physiopathology*; D000682:Amyloid / Q000502:physiology*; D016229:Amyloid beta-Peptides / Q000502:physiology*; D001921:Brain / Q000503:physiopathology*; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological
chemical_list: D000682:Amyloid; D016229:Amyloid beta-Peptides