A qualitative model for aggregation and diffusion of β-amyloid in Alzheimer's disease

被引：0
作者：
Achdou, Yves [1 ]
Franchi, Bruno [2 ]
Marcello, Norina [3 ]
Tesi, Maria Carla [2 ]
机构：
[1] Univ Paris Diderot, Sorbonne Paris Cite, Lab Jacques Louis Lions, UPMC,CNRS,UMR 7598, F-75205 Paris, France
[2] Univ Bologna, Dipartimento Matemat, I-40127 Bologna, Italy
[3] Azienda Osped Santa Maria Nuova IRCCS, SC Neurol, I-42123 Reggio Emilia, Italy
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2013年 / 67卷 / 6-7期
关键词：
Alzheimer's disease; Smoluchowski equation; Diffusion equation; COAGULATION-FRAGMENTATION EQUATIONS; GLOBAL EXISTENCE; SENILE PLAQUES; KINETICS; OLIGOMERS;
D O I：
10.1007/s00285-012-0591-0
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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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收藏
页码：1369 / 1392
页数：24
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