Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mechanical characterization of disordered and anisotropic cellular
  monolayers   We consider a cellular monolayer, described using a vertex-based model, for
which cells form a spatially disordered array of convex polygons that tile the
plane. Equilibrium cell configurations are assumed to minimize a global energy
defined in terms of cell areas and perimeters; energy is dissipated via dynamic
area and length changes, as well as cell neighbour exchanges. The model
captures our observations of an epithelium from a Xenopus embryo showing that
uniaxial stretching induces spatial ordering, with cells under net tension
(compression) tending to align with (against) the direction of stretch, but
with the stress remaining heterogeneous at the single-cell level. We use the
vertex model to derive the linearized relation between tissue-level stress,
strain and strain-rate about a deformed base state, which can be used to
characterize the tissue's anisotropic mechanical properties; expressions for
viscoelastic tissue moduli are given as direct sums over cells. When the base
state is isotropic, the model predicts that tissue properties can be tuned to a
regime with high elastic shear resistance but low resistance to area changes,
or vice versa.

17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an