A qualitative model for aggregation and diffusion of beta-amyloid in Alzheimer%26apos;s disease

作者:Achdou Yves; Franchi Bruno; Marcello Norina; Tesi Maria Carla*
来源:Journal of Mathematical Biology, 2013, 67(6-7): 1369-1392.
DOI:10.1007/s00285-012-0591-0

摘要

In this paper we present a mathematical model for the aggregation and diffusion of A amyloid in the brain affected by Alzheimer%26apos;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.

  • 出版日期2013-12