Theoretical Study of Lipid-bilayer Membranes Supported on Solid Substrates Using a Lipopolymers

ouar rc ch ghy @ gma ai il. .c co om m , e el lhasn na aouikhal li id @ gma ail. .c co om m ABSTRAT In this study, we report the design of supported lipid membranes attached to the surface by tailored lipopolymer tethers. In this paper, we aim at a quantitative investigations of the associated fluctuation spectra. The study is achieved through the knowledge of the height correlation function between points on the membrane. First, we compute exactly such a function for all pairs of points of the membrane, versus the parameters of the problem, which are the elastic constants of the membrane (bending modulus and interfacial tension) and the molecular weight of the connected polymer chains. Second, from this correlation function, we extract the exact expression of the fluctuations amplitude and discuss its dependence on molecular-weight. Third, we write exact scaling laws for both height correlation function and fluctuations amplitude. Key word: Polymer Supported Bilayers; Membrane Model Systems, lipopolymer; polymer-tethered, correlation function.