dorsal/arxiv
View SchemaModelling Meso-Scale Diffusion Processes in Stochastic Fluid Bio-Membranes
| Authors | H. Rafii-Tabar, H. R. Sepangi |
|---|---|
| Categories | |
| ArXiv ID | physics/9908028 |
| URL | https://arxiv.org/abs/physics/9908028 |
| Journal | Comp. Mat. Sci. 15/4 (1999) 483-492 |
Abstract
The space-time dynamics of rigid inhomogeneities (inclusions) free to move in a randomly fluctuating fluid bio-membrane is derived and numerically simulated as a function of the membrane shape changes. Both vertically placed (embedded) inclusions and horizontally placed (surface) inclusions are considered. The energetics of the membrane, as a two-dimensional (2D) meso-scale continuum sheet, is described by the Canham-Helfrich Hamiltonian, with the membrane height function treated as a stochastic process. The diffusion parameter of this process acts as the link coupling the membrane shape fluctuations to the kinematics of the inclusions. The latter is described via Ito stochastic differential equation. In addition to stochastic forces, the inclusions also experience membrane-induced deterministic forces. Our aim is to simulate the diffusion-driven aggregation of inclusions and show how the external inclusions arrive at the sites of the embedded inclusions. The model has potential use in such emerging fields as designing a targeted drug delivery system.
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"abstract": "The space-time dynamics of rigid inhomogeneities (inclusions) free to move in\na randomly fluctuating fluid bio-membrane is derived and numerically simulated\nas a function of the membrane shape changes. Both vertically placed (embedded)\ninclusions and horizontally placed (surface) inclusions are considered. The\nenergetics of the membrane, as a two-dimensional (2D) meso-scale continuum\nsheet, is described by the Canham-Helfrich Hamiltonian, with the membrane\nheight function treated as a stochastic process. The diffusion parameter of\nthis process acts as the link coupling the membrane shape fluctuations to the\nkinematics of the inclusions. The latter is described via Ito stochastic\ndifferential equation. In addition to stochastic forces, the inclusions also\nexperience membrane-induced deterministic forces. Our aim is to simulate the\ndiffusion-driven aggregation of inclusions and show how the external inclusions\narrive at the sites of the embedded inclusions. The model has potential use in\nsuch emerging fields as designing a targeted drug delivery system.",
"arxiv_id": "physics/9908028",
"authors": [
"H. Rafii-Tabar",
"H. R. Sepangi"
],
"categories": [
"physics.comp-ph",
"cond-mat",
"physics.bio-ph"
],
"journal_ref": "Comp. Mat. Sci. 15/4 (1999) 483-492",
"title": "Modelling Meso-Scale Diffusion Processes in Stochastic Fluid Bio-Membranes",
"url": "https://arxiv.org/abs/physics/9908028"
},
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