Journal
JOURNAL OF MATHEMATICAL BIOLOGY
Volume 67, Issue 6-7, Pages 1369-1392Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00285-012-0591-0
Keywords
Alzheimer's disease; Smoluchowski equation; Diffusion equation
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Funding
- MURST, Italy
- University of Bologna, Italy
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In this paper we present a mathematical model for the aggregation and diffusion of A 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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