Rafii-Tabar, H. and Sepangi, H.R. (1999) Modelling meso-scale diffusion processes in stochastic fluid bio-membranes. Computational Materials Science, 15 (4). pp. 483-492. ISSN 0927-0256 (doi:https://doi.org/10.1016/S0927-0256(99)00034-8)

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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.

Item Type:	Article
Uncontrolled Keywords:	modelling, meso-scale diffusion processes, stochastic fluid bio-membranes
Subjects:	Q Science > QA Mathematics
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis
Related URLs:	Publisher
Last Modified:	14 Oct 2016 08:59
URI:	http://gala.gre.ac.uk/id/eprint/277

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