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 In: Workshop : New directions in computational PDEs, University of Warwick, Coventry, 12-16 Jan 2009 (Unpublished)

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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)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Official Date:	January 2009
Dates:	Date Event January 2009 Completion
Status:	Not Peer Reviewed
Publication Status:	Unpublished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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