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Using Neutron Spectroscopy to Study Collective Dynamics of Biological and Model Membrane Systems

Maikel C. RheinstŠdter, Department of Physics and Astronomy and University of Missouri Research Reactor University of Missouri-Columbia, Columbia, MO 65211, USA

While most spectroscopic techniques, as, e.g., nuclear magnetic resonance or dielectric spectroscopy probe macroscopic responses, neutron and within some restrictions also x-ray scattering experiments give the unique access to microscopic dynamics at length scales of intermolecular or atomic distances. Only recently, it has become possible to study collective dynamics of planar lipid bilayers using neutron spectroscopy techniques [1]. We determined the dispersion relation of the coherent fast picosecond density fluctuations on nearest neighbor distances of the phospholipid acyl chains in the gel and in the fluid phases of a DMPC bilayer and could shed light on the evolution of structure and dynamics in the range of the gel-fluid main phase transition. The spectrum of fluctuations in biomimetic and biological membranes covers a large range of time and length scales, ranging from the long wavelength undulation and bending modes of the bilayer with typical relaxation times of nanoseconds and lateral length scales of several hundred lipid molecules to the short wavelength density fluctuations in the picosecond range on nearest neighbor distances of lipid acyl chains. By combining different neutron scattering techniques, namely three-axis, backscattering and spin-echo spectroscopy, we present measurements of short and long wavelength collective fluctuations in biomimetic and biological membranes in a large range in momentum and energy transfer, covering time scales from about 0.1ps to almost 1¼s and length scales from 3 to about 0.1¼m [1-4]. Because of optimized setups and sample preparation, inelastic neutron scattering experiments supply for the first time sufficiently strong coherent inelastic signals for quantitative analysis. The measurements offer a large window of length and time scales to test and refine theoretical models of dynamics of biomimetic and biological membranes. From a smectic hydrodynamic theory, the long wavelength dispersion relation give direct access to the elasticity parameters of the membranes in the fluid phase [3], i.e., the bilayer bending rigidity º and the compressional modulus B of the stacks. The overall objective of this project is to establish dynamics-function relationships in artificial and biological membranes to relate in particular the collective dynamics, i.e., phonons, to key functions of the membranes, as, e.g., transport processes, pore opening, and membrane fusion. [1] M.C. RheinstŠdter, C. Ollinger, G. Fragneto, F. Demmel, T. Salditt, Phys. Rev. Lett. 93, 108107 (2004). [2] Maikel C. RheinstŠdter, Tilo Seydel, Franz Demmel, Tim Salditt, Phys. Rev. E 71, 061908 (2005). [3] Maikel C. RheinstŠdter, Wolfgang HŠu§ler, Tim Salditt, Phys. Rev. Lett. 97, 048103 (2006). [4] Maikel C. RheinstŠdter, Tilo Seydel, Tim Salditt, submitted to PRE, cond-mat/0607514.

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