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Supported membranes on chemically structured and rough surfaces Peter S. Swain

Summary: Supported membranes on chemically structured and rough surfaces
Peter S. Swain
Center for Studies in Physics and Biology, The Rockefeller University, 1230 York Avenue, New York, New York 10021
David Andelman
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University,
Ramat Aviv 69978, Tel Aviv, Israel
Received 6 September 2000; published 25 April 2001
We present a general linear response description of membrane adhesion at rough or chemically structured
surfaces. Our method accounts for nonlocal Van der Waals effects and contains the more approximate and
local Deryagin approach in a simple limit. Specializing to supported membranes we consider the effects of
substrate structure on the membrane adhesion energy and configuration. Adhesion is usually less favorable for
rough substrates and the membrane shape tends to follow that of the surface contours. Chemical patterning
described by a spatially varying Van der Waals force , however, favors adhesion with the membrane configu-
ration being out of phase with the surface structure. Finally, considering a surface indented with ``V''-shaped
trenches, we show that our approach is in good agreement with an exact numerical solution.
DOI: 10.1103/PhysRevE.63.051911 PACS number s : 87.16.Dg, 68.15. e, 67.70. n
Supported membranes strongly adhere to substrates and
lie typically at separation distances of between 10 and 40
1 . Such small values have lead to their adoption by the


Source: Andelman, David - School of Physics and Astronomy, Tel Aviv University
Swain, Peter - Centre for Systems Biology at Edinburgh, University of Edinburgh


Collections: Biology and Medicine; Materials Science; Physics