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Interaction between surface shape and intra-surface viscous flow on lipid membranes |
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| Authors: | Padmini Rangamani Ashutosh Agrawal Kranthi K Mandadapu George Oster David J Steigmann |
| Institution: | 1. Department of Molecular and Cellular Biology, University of California, Berkeley, CA, 94720, USA 2. Department of Mechanical Engineering, University of Houston, Houston, TX, 77204, USA 3. Sandia National Laboratories, Livermore, CA, 94551, USA 4. Department of Mechanical Engineering, University of California, Berkeley, CA, 94720, USA |
| Abstract: | 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. |
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