Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pattern selection in a biomechanical model for the growth of walled
  cells   In this paper, we analyse a model for the growth of three-dimensional walled
cells. In this model the biomechanical expansion of the cell is coupled with
the geometry of its wall. We consider that the density of building material
depends on the curvature of the cell wall, thus yield-ing possible anisotropic
growth. The dynamics of the axisymmetric cell wall is described by a system of
nonlinear PDE including a nonlin-ear convection-diffusion equation coupled with
a Poisson equation. We develop the linear stability analysis of the spherical
symmetric config-uration in expansion. We identify three critical parameters
that play a role in the possible instability of the radially symmetric shape,
namely the degree of nonlinearity of the coupling, the effective diffusion of
the building material, and the Poisson's ratio of the cell wall. We also
investigate numerically pattern selection in the nonlinear regime. All the
results are also obtained for a simpler, but similar, two-dimensional model.

37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th