Journal
JOURNAL OF CHEMICAL PHYSICS
Volume 132, Issue 8, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3335894
Keywords
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Funding
- Natural Science Foundation of China [10704009]
- Foundation of National Excellent Doctoral Dissertation of China [2007B17]
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Only some special open surfaces satisfying the shape equation of lipid membranes can be compatible with the boundary conditions. As a result of this compatibility, the first integral of the shape equation should vanish for axisymmetric lipid membranes, from which two theorems of nonexistence are verified: (i) there is no axisymmetric open membrane being a part of torus satisfying the shape equation; (ii) there is no axisymmetric open membrane being a part of a biconcave discodal surface satisfying the shape equation. Additionally, the shape equation is reduced to a second-order differential equation while the boundary conditions are reduced to two equations due to this compatibility. Numerical solutions to the reduced shape equation and boundary conditions agree well with the experimental data [A. Saitoh et al., Proc. Natl. Acad. Sci. U.S.A. 95, 1026 (1998)]. (C) 2010 American Institute of Physics. [doi:10.1063/1.3335894]
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