title: Interaction between surface shape and intra-surface viscous flow on lipid membranes.
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.
authors.affiliation: Department of Molecular and Cellular Biology, University of California, Berkeley, CA 94720, USA.
authors.forename: Padmini
authors.initials: P
authors.lastname: Rangamani
authors.forename: Ashutosh
authors.initials: A
authors.lastname: Agrawal
authors.forename: Kranthi K
authors.initials: KK
authors.lastname: Mandadapu
authors.forename: George
authors.initials: G
authors.lastname: Oster
authors.forename: David J
authors.initials: DJ
authors.lastname: Steigmann
mesh_terms: D008051:Lipid Bilayers / Q000737:chemistry*; D011312:Pressure; D012212:Rheology; D013499:Surface Properties; D013997:Time Factors; D014783:Viscosity
chemical_list: D008051:Lipid Bilayers