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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