dorsal/arxiv
View SchemaA lattice model for the kinetics of rupture of fluid bilayer membranes
| Authors | Luc Fournier, Bela Joos |
|---|---|
| Categories | |
| ArXiv ID | physics/0204052 |
| URL | https://arxiv.org/abs/physics/0204052 |
| DOI | 10.1103/PhysRevE.67.051908 |
Abstract
We have constructed a model for the kinetics of rupture of membranes under tension, applying physical principles relevant to lipid bilayers held together by hydrophobic interactions. The membrane is characterized by the bulk compressibility (for expansion), the thickness of the hydrophobic part of the bilayer, the hydrophobicity and a parameter characterizing the tail rigidity of the lipids. The model is a lattice model which incorporates strain relaxation, and considers the nucleation of pores at constant area, constant temperature, and constant particle number. The particle number is conserved by allowing multiple occupancy of the sites. An equilibrium ``phase diagram'' is constructed as a function of temperature and strain with the total pore surface and distribution as the order parameters. A first order rupture line is found with increasing tension, and a continuous increase in proto-pore concentration with rising temperature till instability. The model explains current results on saturated and unsaturated PC lipid bilayers and thicker artificial bilayers made of diblock copolymers. Pore size distributions are presented for various values of area expansion and temperature, and the fractal dimension of the pore edge is evaluated.
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"abstract": "We have constructed a model for the kinetics of rupture of membranes under\ntension, applying physical principles relevant to lipid bilayers held together\nby hydrophobic interactions. The membrane is characterized by the bulk\ncompressibility (for expansion), the thickness of the hydrophobic part of the\nbilayer, the hydrophobicity and a parameter characterizing the tail rigidity of\nthe lipids. The model is a lattice model which incorporates strain relaxation,\nand considers the nucleation of pores at constant area, constant temperature,\nand constant particle number. The particle number is conserved by allowing\nmultiple occupancy of the sites. An equilibrium ``phase diagram\u0027\u0027 is\nconstructed as a function of temperature and strain with the total pore surface\nand distribution as the order parameters. A first order rupture line is found\nwith increasing tension, and a continuous increase in proto-pore concentration\nwith rising temperature till instability. The model explains current results on\nsaturated and unsaturated PC lipid bilayers and thicker artificial bilayers\nmade of diblock copolymers. Pore size distributions are presented for various\nvalues of area expansion and temperature, and the fractal dimension of the pore\nedge is evaluated.",
"arxiv_id": "physics/0204052",
"authors": [
"Luc Fournier",
"Bela Joos"
],
"categories": [
"physics.bio-ph",
"cond-mat.soft",
"q-bio.CB"
],
"doi": "10.1103/PhysRevE.67.051908",
"title": "A lattice model for the kinetics of rupture of fluid bilayer membranes",
"url": "https://arxiv.org/abs/physics/0204052"
},
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