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Elastic biomembranes involving lipid separation
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Stinner, Björn (2009) Elastic biomembranes involving lipid separation. In: Workshop : New directions in computational PDEs, University of Warwick, Coventry, 12-16 Jan 2009 (Unpublished)
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Official URL: http://www2.warwick.ac.uk/fac/sci/maths/research/e...
Abstract
The lipids of biomembranes may separate into coexisting phases. In addition to its elastic bending energy the membrane energy then involves a line energy arising from the phase interfaces. In biophysics, equilibrium shapes are of interest, in particular with respect to budding phenomena and vesicle fission. The goal has been to numerically study energy minima by relaxing suitable initial shapes according to an appropriate gradient flow dynamics. The intermembrane domains are described using the phase field methodology leading to a pde on the membrane which is coupled to a geometric evolution law for the membrane. The discretisation is based on representing the membrane by a triangulated surface on which linear parametric FEs are defined. The convergence as the interface thickness tends to zero has been numerically analysed, and the influence of various physical parameters numerically investigated. Adaptive refinement will be briefly discussed.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Official Date: | January 2009 | ||||
Dates: |
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Status: | Not Peer Reviewed | ||||
Publication Status: | Unpublished | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | Workshop : New directions in computational PDEs | ||||
Type of Event: | Workshop | ||||
Location of Event: | University of Warwick, Coventry | ||||
Date(s) of Event: | 12-16 Jan 2009 |
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