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.
Yves Achdou, Bruno Franchi, Norina Marcello, Maria Carla Tesi (2013). A qualitative model for aggregation and diffusion of $$\beta $$ -amyloid in Alzheimer’s disease. JOURNAL OF MATHEMATICAL BIOLOGY, 67(6-7), 1369-1392 [10.1007/s00285-012-0591-0].
A qualitative model for aggregation and diffusion of $$\beta $$ -amyloid in Alzheimer’s disease
FRANCHI, BRUNO;TESI, MARIA CARLA
2013
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
