Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hexagonal, square and stripe patterns of the ion channel density in
  biomembranes   Transmembrane ion flow through channel proteins undergoing density
fluctuations may cause lateral gradients of the electrical potential across the
membrane giving rise to electrophoresis of charged channels. A model for the
dynamics of the channel density and the voltage drop across the membrane (cable
equation) coupled to a binding-release reaction with the cell skeleton (P.
  Fromherz and W. Zimmerman, Phys. Rev. E 51, R1659 (1995)) is analyzed in one
and two spatial dimensions. Due to the binding release reaction spatially
periodic modulations of the channel density with a finite wave number are
favored at the onset of pattern formation, whereby the wave number decreases
with the kinetic rate of the binding-release reaction. In a two-dimensional
extended membrane hexagonal modulations of the ion channel density are
preferred in a large range of parameters. The stability diagrams of the
periodic patterns near threshold are calculated and in addition the equations
of motion in the limit of a slow binding-release kinetics are derived.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc