Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupled bulk-surface free boundary problems arising from a mathematical
  model of receptor-ligand dynamics   We consider a coupled bulk-surface system of partial differential equations
with nonlinear coupling modelling receptor-ligand dynamics. The model arises as
a simplification of a mathematical model for the reaction between cell surface
resident receptors and ligands present in the extra-cellular medium. We prove
the existence and uniqueness of solutions. We also consider a number of
biologically relevant asymptotic limits of the model. We prove convergence to
limiting problems which take the form of free boundary problems posed on the
cell surface. We also report on numerical simulations illustrating convergence
to one of the limiting problems as well as the spatio-temporal distributions of
the receptors and ligands in a realistic geometry.

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs