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Continuum theory of a moving membrane
Hu Dan ; Zhang Pingwen ; E Weinan
2007
英文摘要We derive a set of equations for the dynamics of evolving fluid membranes, such as cell membranes, in the presence of bulk fluids. We model the membrane as a surface endowed with a director field, which describes the local average orientation of the molecules on the membrane. A model for the elastic energy of a surface endowed with a director field is derived using liquid crystal theory. This elastic energy reduces to the well-known Helfrich energy in the limit when the directors are constrained to be normal to the surface. We then derive the full dynamic equations for the membrane that incorporate both the elastic and viscous effects, with and without the presence of bulk fluids. We also consider the effect of local spontaneous curvature, arising from the presence of membrane proteins. Overall, the systems of equations allow us to carry out stable, accurate, and robust numerical modeling for the dynamics of the membranes.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000246073900063&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; SCI(E); EI; PubMed; 17; 4 Pt 1; 041605; 75
语种英语
出处SCI ; EI ; PubMed
出版者physical review e statistical nonlinear and soft matter physics
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/314183]  
专题数学科学学院
推荐引用方式
GB/T 7714
Hu Dan,Zhang Pingwen,E Weinan. Continuum theory of a moving membrane. 2007-01-01.
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