title: Hydrodynamic interaction between overlapping domains during recurrence of registration within planar lipid bilayer membranes.
abstract: Due to a thermodynamic coupling between the two leaflets comprising a lipid bilayer, compositional lipid domains residing within opposing leaflets are often found in registry. If the system is perturbed by displacing one domain relative to the other, diffusive and advective lipid fluxes are established to restore equilibrium and reestablish domain overlap. In this work, we focus on the advective part of the process, and first derive an analytical expression for the hydrodynamic drag coefficient associated with the advective flow for the special case of perfect domain overlap. The resulting expression identifies parameter regions where sliding friction between the leaflets dominates over viscous dissipation within the leaflets or vice versa. It is shown that in all practically relevant cases, sliding friction between the leaflets is the dominant factor. Finally, we investigate the domain separation dependence of the hydrodynamic drag coefficient via direct simulations of a continuum diffuse interface model, and provide useful empirical expressions for its behavior.
authors.affiliation: Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA.
authors.forename: Tao
authors.initials: T
authors.lastname: Han
authors.affiliation: Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
authors.forename: Trevor P
authors.initials: TP
authors.lastname: Bailey
authors.affiliation: Department of Mechanical and Aerospace Engineering, Princeton Institute for the Science and Technology of Materials (PRISM), and Program in Applied and Computational Mathematics (PACM), Princeton University, Princeton, New Jersey 08544, USA.
authors.forename: Mikko
authors.initials: M
authors.lastname: Haataja
mesh_terms: D003198:Computer Simulation; D055119:Elastic Modulus; D017276:Friction; D057446:Hydrodynamics; D057927:Hydrophobic and Hydrophilic Interactions; D008051:Lipid Bilayers / Q000737:chemistry*; D008560:Membrane Fluidity; D021962:Membrane Microdomains / Q000737:chemistry* / Q000648:ultrastructure*; D008956:Models, Chemical; D008958:Models, Molecular; D008968:Molecular Conformation; D014783:Viscosity
chemical_list: D008051:Lipid Bilayers