Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embryonic lateral inhibition as optical modes: an analytical framework
  for mesoscopic pattern formation   Cellular checkerboard patterns are observed at many developmental stages of
embryos. We study an analytically tractable model for lateral inhibition and
show that a coupling coefficient with a negative value is sufficient to obtain
noisy or periodic checkerboard patterns. We solve the case of a linear chain of
cells explicitly and show that noisy anti-correlated patterns are available in
a post-critical regime $(\epsilon_c < \epsilon < 0)$. In the sub-critical
regime $(-\infty < \epsilon \leq \epsilon_c)$ a periodic and alternating steady
state is available, where pattern selection is determined by making an analogy
with the optical modes of phonons. For cells arranged in a hexagonal lattice,
the sub-critical pattern can be driven into three different states: two of
those states are periodic checkerboards and a third in which both periodic
states coexist.

30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph