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Journal of Chemical Theory and Computation 11/2012; · 5.22 Impact Factor
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ABSTRACT: With today's available computer power, free energy calculations from equilibrium molecular dynamics simulations "via counting" become feasible for an increasing number of reactions. An example is the dimerization reaction of transmembrane alpha-helices. If an extended simulation of the two helices covers sufficiently many dimerization and dissociation events, their binding free energy is readily derived from the fraction of time during which the two helices are observed in dimeric form. Exactly how the correct value for the free energy is to be calculated, however, is unclear, and indeed several different and contradictory approaches have been used. In particular, results obtained via Boltzmann statistics differ from those determined via the law of mass action. Here, we develop a theory that resolves this discrepancy. We show that for simulation systems containing two molecules, the dimerization free energy is given by a formula of the form ΔG ∝ ln(P(1) /P(0) ). Our theory is also applicable to high concentrations that typically have to be used in molecular dynamics simulations to keep the simulation system small, where the textbook dilute approximations fail. It also covers simulations with an arbitrary number of monomers and dimers and provides rigorous error estimates. Comparison with test simulations of a simple Lennard Jones system with various particle numbers as well as with reference free energy values obtained from radial distribution functions show full agreement for both binding free energies and dimerization statistics.
Journal of Computational Chemistry 04/2011; 32(9):1919-28. · 4.58 Impact Factor
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ABSTRACT: Cell membranes are comprised of multicomponent lipid and protein mixtures that exhibit a complex partitioning behavior. Regions of structural and compositional heterogeneity play a major role in the sorting and self-assembly of proteins, and their clustering into higher-order oligomers. Here, we use computer simulations and optical microscopy to study the sorting of transmembrane helices into the liquid-disordered domains of phase-separated model membranes, irrespective of peptide-lipid hydrophobic mismatch. Free energy calculations show that the enthalpic contribution due to the packing of the lipids drives the lateral sorting of the helices. Hydrophobic mismatch regulates the clustering into either small dynamic or large static aggregates. These results reveal important molecular driving forces for the lateral organization and self-assembly of transmembrane helices in heterogeneous model membranes, with implications for the formation of functional protein complexes in real cells.
Proceedings of the National Academy of Sciences 01/2011; 108(4):1343-8. · 9.68 Impact Factor
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ABSTRACT: Using neutron diffraction Harroun et al. [(2006) Biochemistry 45, 1227-1233; (2008) Biochemistry 47, 7090-7096] carried out studies that unequivocally demonstrated cholesterol preferentially sequestering in the middle of bilayers (i.e., flat orientation) made of lipids with polyunsaturated fatty acids (PUFA), in contrast to its "usual" position where its hydroxyl group locates near the lipid/water interface (i.e., upright orientation). Here we clearly show, using neutron diffraction, cholesterol's orientational preference in different lipid bilayers. For example, although it requires 50 mol % POPC (16:0-18:1 PC) in DAPC (di20:4 PC) bilayers to cause cholesterol to revert to its upright orientation, only 5 mol % DMPC (di14:0 PC) is needed to achieve the same effect. This result demonstrates not only cholesterol's affinity for saturated hydrocarbon chains, but also its aversion for PUFAs. Molecular dynamics (MD) simulations performed on similar systems show that in high PUFA content bilayers cholesterol is simultaneously capable of assuming different orientations within a bilayer. Although this result is known from previous MD studies by Marrink et al. [(2008) J. Am. Chem. Soc. 130, 10-11], it has yet to be confirmed experimentally. Importantly, MD simulations predict the formation of DMPC-rich domains, data corroborated by experiment (i.e., 10 mol % DMPC-doped DAPC bilayers), where cholesterol preferentially locates in its upright orientation, while in DMPC-depleted domains cholesterol is found mostly in the bilayer center (i.e., flat orientation). These results lend credence to DMPC's aversion for PUFAs, supporting the notion that domain formation is primarily driven by lipids.
Biochemistry 09/2010; 49(35):7485-93. · 3.42 Impact Factor
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