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.
A qualitative model for aggregation and diffusion of $$\beta $$ -amyloid in Alzheimer’s disease / Yves Achdou;Bruno Franchi;Norina Marcello;Maria Carla Tesi. - In: JOURNAL OF MATHEMATICAL BIOLOGY. - ISSN 0303-6812. - STAMPA. - 67:6-7(2013), pp. 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.
