Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Mathematical model for Alzheimer's disease: An approach via stochastic
  homogenization of the Smoluchowski equation   In this note, we apply the theory of stochastic homogenization to find the
asymptotic behavior of the solution of a set of Smoluchowski's
coagulation-diffusion equations with non-homogeneous Neumann boundary
conditions. This system is meant to model the aggregation and diffusion of
$\beta$-amyloid peptide (A$\beta$) in the cerebral tissue, a process associated
with the development of Alzheimer's disease. In contrast to the approach used
in our previous works, in the present paper we account for the non-periodicity
of the cellular structure of the brain by assuming a stochastic model for the
spatial distribution of neurons. Further, we consider non-periodic random
diffusion coefficients for the amyloid aggregates and a random production of
A$\beta$ in the monomeric form at the level of neuronal membranes.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph