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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Rangamani, P., Agrawal, A., Mandadapu, K.K. et al. Interaction between surface shape and intra-surface viscous flow on lipid membranes. Biomech Model Mechanobiol 12, 833–845 (2013). https://doi.org/10.1007/s10237-012-0447-y
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DOI: https://doi.org/10.1007/s10237-012-0447-y