Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bilayer-thickness-mediated interactions between integral membrane
  proteins   Hydrophobic thickness mismatch between integral membrane proteins and the
surrounding lipid bilayer can produce lipid bilayer thickness deformations.
Experiment and theory have shown that protein-induced lipid bilayer thickness
deformations can yield energetically favorable bilayer-mediated interactions
between integral membrane proteins, and large-scale organization of integral
membrane proteins into protein clusters in cell membranes. Within the continuum
elasticity theory of membranes, the energy cost of protein-induced bilayer
thickness deformations can be captured by considering compression and expansion
of the bilayer hydrophobic core, membrane tension, and bilayer bending,
resulting in biharmonic equilibrium equations describing the shape of lipid
bilayers for a given set of bilayer-protein boundary conditions. Here we
develop a combined analytic and numerical methodology for the solution of the
equilibrium elastic equations associated with protein-induced lipid bilayer
deformations. Our methodology allows accurate prediction of thickness-mediated
protein interactions for arbitrary protein symmetries at arbitrary protein
separations and relative orientations. We provide exact analytic solutions for
cylindrical integral membrane proteins with constant and varying hydrophobic
thickness, and develop perturbative analytic solutions for non-cylindrical
protein shapes. We complement these analytic solutions, and assess their
accuracy, by developing both finite element and finite difference numerical
solution schemes. Taken together, the work presented here puts into place an
analytic and numerical framework which allows calculation of bilayer-mediated
elastic interactions between integral membrane proteins for the complicated
protein shapes suggested by structural biology and at the small protein
separations most relevant for the crowded membrane environments provided by
living cells.

34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc