From a Microscopic to a Macroscopic Model for Alzheimer Disease: Two-Scale Homogenization of the Smoluchowski Equation in Perforated Domains
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چکیده
منابع مشابه
From a Microscopic to a Macroscopic Model for Alzheimer Disease: Two-Scale Homogenization of the Smoluchowski Equation in Perforated Domains
In this paper, we study the homogenization of a set of Smoluchowski’s discrete diffusion-coagulation equations modeling the aggregation and diffusion of β-amyloid peptide (Aβ), a process associated with the development of Alzheimer’s disease. In particular, we define a periodically perforated domain Ω , obtained by removing from the fixed domain Ω (the cerebral tissue) infinitely many small hol...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2016
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-016-9288-7