Diffusion in phospholipid bilayer membranes: dual-leaflet dynamics and the roles of tracer–leaflet and inter-leaflet coupling by Reghan J. Hill, and Chih-Ying Wang Proceedings A Volume 470(2167): July 8, 2014 ©2014 by The Royal Society

Scaled mobility 4πηmh|U/F| versus scaled tracer radius Λ=aη/(ηmh) for cylindrical tracers that span the full width of freely supported (upper) and hydrogel-supported (lower) membranes: circles are numerically exact calculations according to Wang & Hill [12]... Reghan J. Hill, and Chih-Ying Wang Proc. R. Soc. A 2014;470: ©2014 by The Royal Society

(a) Membrane tracers embedded in solid-supported phospholipid bilayers. Reghan J. Hill, and Chih-Ying Wang Proc. R. Soc. A 2014;470: ©2014 by The Royal Society

(a) Scaled proximal mobility fp=4πηmh/γ versus scaled inter-leaflet friction coefficient 12 for several values of the scaled proximal-leaflet friction coefficient (proximal configuration) 2=0.001, 0.002, 0.004, 0.01, 0.02, 0.04, 0.1, 0.2, 0.4, 1, 2, 4, 8... Reghan J. Hill, and Chih-Ying Wang Proc. R. Soc. A 2014;470: ©2014 by The Royal Society

(a) Scaled proximal mobility fp=4πηmh/γ versus scaled particle size 2 for several values of the inter-leaflet friction coefficient (proximal configuration) 12/2=1, 4, 16, 64 (top to bottom): 1/2=10−4, tm/12=1, tw/2=1. Reghan J. Hill, and Chih-Ying Wang Proc. R. Soc. A 2014;470: ©2014 by The Royal Society

(a) Scaled proximal mobility fp=4πηmh/γ versus scaled particle size 2 for several values of the inter-leaflet friction coefficient (proximal configuration) 12/2=0.001, 0.1, 10 (top to bottom): 1/2=10−4, tm=10, tw/2=1. Reghan J. Hill, and Chih-Ying Wang Proc. R. Soc. A 2014;470: ©2014 by The Royal Society

(a) Scaled proximal mobility fp=4πηmh/γ versus scaled tracer–leaflet friction coefficient tm/12 for several values of the scaled particle size 2=0.001, 0.002, 0.004, 0.01, 0.02, 0.04, 0.1, 0.2, 0.4, 1, 2, 4 (top to bottom): 1/2=10−4 (proximal configura... Reghan J. Hill, and Chih-Ying Wang Proc. R. Soc. A 2014;470: ©2014 by The Royal Society

Membrane streamlines and velocity profiles (proximal configuration) according to the dual- leaflet model: 1=10−4, 2=2, 12=1, tm=12, tw=2. Reghan J. Hill, and Chih-Ying Wang Proc. R. Soc. A 2014;470: ©2014 by The Royal Society

(a) Membrane streamlines and velocity profiles (proximal configuration) according to the dual- leaflet model: 1=10−4, 2=2, 12=0.01, tm=10, tw=2. Reghan J. Hill, and Chih-Ying Wang Proc. R. Soc. A 2014;470: ©2014 by The Royal Society

Theoretical predictions of dimensional lipid diffusion coefficients: effects of tracer–leaflet (a), leaflet–leaflet (b) and leaflet–wall (c) coupling. Reghan J. Hill, and Chih-Ying Wang Proc. R. Soc. A 2014;470: ©2014 by The Royal Society