A Qualitative Model for Aggregation and Diffusion of β-amyloid in Alzheimer's Disease

Overview

Journal J Math Biol

Date 2012 Sep 28

PMID 23014767

Citations 7

Authors

Yves Achdou

Bruno Franchi

Norina Marcello

Maria Carla Tesi

Affiliations

Soon will be listed here.

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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