Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free energy of the edge of an open lipid bilayer based on the
  interactions of its constituent molecules   Lipid-bilayers are the fundamental constituents of the walls of most living
cells and lipid vesicles, giving them shape and compartment. The formation and
growing of pores in a lipid bilayer have attracted considerable attention from
an energetic point of view in recent years. Such pores permit targeted delivery
of drugs and genes to the cell, and regulate the concentration of various
molecules within the cell. The formation of such pores is caused by various
reasons such as changes in cell environment, mechanical stress or thermal
fluctuations. Understanding the energy and elastic behaviour of a lipid-bilayer
edge is crucial for controlling the formation and growth of such pores. In the
present work, the interactions in the molecular level are used to obtain the
free energy of the edge of an open lipid bilayer. The resulted free-energy
density includes terms associated with flexural and torsional energies of the
edge, in addition to a line-tension contribution. The line tension, elastic
moduli, and spontaneous normal and geodesic curvatures of the edge are obtained
as functions of molecular distribution, molecular dimensions, cutoff distance,
and the interaction strength. These parameters are further analyzed by
implementing a soft-core interaction potential in the microphysical model. The
dependence of the elastic free-energy of the edge to the size of the pore is
reinvestigated through an illustrative example, and the results are found to be
in agreement with the previous observations.

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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int