Interaction between surface shape and intra-surface viscous flow on lipid membranes

被引:72
作者
Rangamani, Padmini [1 ]
Agrawal, Ashutosh [2 ]
Mandadapu, Kranthi K. [3 ]
Oster, George [1 ]
Steigmann, David J. [4 ]
机构
[1] Univ Calif Berkeley, Dept Mol & Cellular Biol, Berkeley, CA 94720 USA
[2] Univ Houston, Dept Mech Engn, Houston, TX 77204 USA
[3] Sandia Natl Labs, Livermore, CA 94551 USA
[4] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA
关键词
Lipid bilayers; Viscous membranes; Surface flow; Bending elasticity; FLUIDS; ELASTICITY; FILMS;
D O I
10.1007/s10237-012-0447-y
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
The theory of intra-surface viscous flow on lipid bilayers is developed by combining the equations for flow on a curved surface with those that describe the elastic resistance of the bilayer to flexure. The model is derived directly from balance laws and augments an alternative formulation based on a variational principle. Conditions holding along an edge of the membrane are emphasized, and the coupling between flow and membrane shape is simulated numerically.
引用
收藏
页码:833 / 845
页数:13
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