ArticleJournal of mathematical biology2005
General mathematical frame for open or closed biomembranes (Part I): equilibrium theory and geometrically constraint equation.
Article in Journal of mathematical biology, 2005. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Equilibrium theory and geometrical constraint equation for two-component lipid bilayer vesicles.Journal of biological physics · 2008Article
- Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches.Journal of mathematical biology · 2008Article
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3 authors.
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Abstract
This paper aims at constructing a general mathematical frame for the equilibrium theory of open or closed biomembranes. Based on the generalized potential functional, the equilibrium differential equation for open biomembrane (with free edge) or closed one (without boundary) is derived. The boundary conditions for open biomembranes are obtained. Besides, the geometrically constraint equation for the existence, formation and disintegration of open or closed biomembranes is revealed. The physical and biological meanings of the equilibrium differential equation and the geometrically constraint equation are discussed. Numerical simulation results for axisymmetric open biomembranes show the effectiveness and convenience of the present theory.
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