Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Computational Model of Protein Induced Membrane Morphology with
  Geodesic Curvature Driven Protein-Membrane Interface   Continuum or hybrid modeling of bilayer membrane morphological dynamics
induced by embedded proteins necessitates the identification of
protein-membrane interfaces and coupling of deformations of two surfaces. In
this article we developed (i) a minimal total geodesic curvature model to
describe these interfaces, and (ii) a numerical one-one mapping between two
surface through a conformal mapping of each surface to the common middle
annulus. Our work provides the first computational tractable approach for
determining the interfaces between bilayer and embedded proteins. The one-one
mapping allows a convenient coupling of the morphology of two surfaces. We
integrated these two new developments into the energetic model of
protein-membrane interactions, and developed the full set of numerical methods
for the coupled system. Numerical examples are presented to demonstrate (1) the
efficiency and robustness of our methods in locating the curves with minimal
total geodesic curvature on highly complicated protein surfaces, (2) the
usefulness of these interfaces as interior boundaries for membrane deformation,
and (3) the rich morphology of bilayer surfaces for different protein-membrane
interfaces.

27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg