Abstract
Over the past 25 years or so experimental studies of lipid bilayer membranes have progressed to the point at which a wealth of data are available from a large variety of experimental measurements. In particular, NMR experiments (Bloom et al, 1991; Brown et al, 1983; Seelig, 1977), X-ray experiments (Mcintosh 1990; Tristram-Nagle et al, 1993), and infrared spectroscopic experiments (Mendelsohn and Senak, 1993) yield data that are related directly to structures and interactions at the molecular level. To aid in the interpretation of this data, and to gain a more complete understanding of lipid bilayers at the molecular level, the next step is to construct theoretical models. To be of use, a theoretical model must be consistent with the data and must contain all of the important atomic level properties as determined from experiment. Ideally, the model will have predictive capabilities. That is, the input to the model will be entirely based upon atomic level properties of the constituent molecules which are independently determined. Then, observable properties of the model will be calculated by the methods of statistical mechanics or from direct computer simulation. Lastly, calculated properties (predictions) of the model will be compared with experimental measurements. Unfortunately, this process is not often so simple in practice. Theoretical models with molecular or atomic level detail are generally too complex to be solved analytically.
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References
Allen MP, Tildesley D (1987): Computer Simulation of Liquids. New York, NY: Oxford University Press
Baxter RJ (1982): Exactly Solved Models in Statistical Mechanics. San Diego, CA: Academic Press
Binder K (1986): Monte Carlo Methods in Statistical Physics, 2nd ed. Binder K, ed. Berlin: Springer-Verlag
Bloom M, Evans E, Mouritsen O (1991): Physical properties of the fluid lipid bilayer component of cell membranes: A perspective. Q Rev Biophys 24:293–397
Brown MF, Ribeiro AA, Williams GD (1983): New view of lipid bilayer dynamics from 2H and 13C NMR relaxation time measurements. Proc Nat Acad Sci USA 80:4325–4329
Caille A, Pink DA, de Verteuil F, Zuckermann MJ (1980): Theoretical models for quasi-two-dimensional mesomorphic monolayers and membrane bilayers. Can J Phys 58:581–611
Copeland BR, McConnell HM (1980): The rippled structure in bilayer membranes of phosphatidylcholine and binary mixtures of phosphatidylcholine and cholesterol. Biochim Biophys Acta 599:95–109
Curro JG (1974): Computer simulation of multiple chain systems—The effect of density on the average chain dimensions. J Chem Phys 61:1203–1207
Fichtorn KA, Weinberg WH (1991): Theoretical foundations of dynamical Monte Carlo simulations. J Chem Phys 95:1090–1096
Hauser H, Pascher I, Pearson I, Sundeil S (1981): Preferred conformation and molecular packing of phosphatidylethanolamine and phosphatidylcholine. Biochim Biophys Acta 650:21–51
Hicks A, Dinda M, Singer MA (1987): The ripple phase of phosphatidylcholines: Effect of chain length and cholesterol. Biochim Biophys Acta 903:177–185
Kang HC, Weinberg WH (1989): Dynamic Monte Carlo with a proper energy barrier: Surface diffusion and two-dimensional domain ordering. J Chem Phys 90:2824–2830
Mcintosh TJ (1990): X-Ray diffraction analysis of membrane lipids. In: Molecular Description of Biological Membrane Components by Computer Aided Conformational Analysis, Brasseur R, ed. Boca Raton, FL: CRC Press
McCullough WS, Perk JHH, Scott HL (1990): Analysis of a model for the ripple phase of lipid bilayers. J Chem Phys 93:6070–6080
Mendelsohn R, Senak L (1993): Quantitative determination of conformational disorder in biological membranes by FTIR spectroscopy. In: Biomolecular Spectroscopy, Clark JR, Heister RE, eds. New York: Wiley
Metropolis N, Rosenbluth N, Rosenbluth A, Teller H, Teller E (1953): Equation of state calculations by fast computing machines. J Chem Phys 21:1087–1092
Mouritsen O (1990): Computer simulation of cooperative phenomena in lipid membranes: In: Molecular Description of Biological Membrane Components by Computer Aided Conformational Analysis, Brasseur R, ed. Boca Raton, FL: CRC Press
Nagle JF (1980): Theory of the main lipid bilayer phase transition. Annu Rev Phys Chem 31:157–192
Nagle JF (1973): Theory of biomembrane phase transitions. J Chem Phys 58:252–271
Nagle JF, Scott HL (1978): Biomembrane phase transitions. Phys Today 31:38–47
Peterson NO, Chan SI (1977): More on the motional state of lipid bilayer membranes: Interpretation of order parameters obtained from Nuclear Magnetic Resonance experiments. Biochemistry 16:2657–2667
Pink D (1990): Computer simulation of biological membranes. In: Molecular Description of Biological Membrane Components by Computer Aided Conformational Analysis, Brasseur R, ed. Boca Raton, FL: CRC Press
Rosenbluth MN, Rosenbluth AW (1955): Monte Carlo calculation of the average extension of molecular chains. J Chem Phys 23:356–359
Ryckaert JP, Bellemanns A (1975): Molecular dynamics of liquid n-butane near its boiling point. Chem Phys Lett 30:123–125
Scott HL (1990): Computer aided methods for the study of lipid chain packing in model membranes and micelles. In: Molecular Description of Biological Membrane Compo nents by Computer Aided Conformational Analysis, Brasseur R, ed. Boca Raton, FL: CRC Press
Scott HL (1991): Lipid-cholesterol interactions: Monte Carlo simulations and theory. Biophys J 59:445–455
Scott HL (1986): Monte Carlo calculations of order parameters in models for lipid-protein interactions. Biochemistry 25:6122–6129
Scott HL (1978): Monte Carlo studies of the hydrocarbon region of lipid bilayers. Biochim Biophys Acta 469:264–271
Scott HL, Clark M (1995): Unpublished research
Scott HL, Kalaskar S (1989): Lipid chains and cholesterol in model membranes: A Monte Carlo study. Biochemistry 28:3687–3692
Scott HL, McCullough WS (1993): Lipid-cholesterol interactions in the P β’ phase: Application of a statistical mechanical model. Biophys J 64:1398–1404
Scott HL, Pearce PA (1989): Calculation of intermolecular interaction strengths in the P β’ phase in lipid bilayers. Biophys J 55:339–345
Seelig J (1977): Deuterium magnetic resonance: Theory and application to lipid membranes. Q Rev Biophys 10:353–418
Siepmann JI, Frenkel D (1992): Configuration bias Monte Carlo: A new sampling scheme for flexible chains. Mol Phys 75:59–70
Smit B, Siepmann JI (1994): Simulating the adsorption of alkanes in zeolites. Science 264:1118–1120
Sun WJ, Tristam-Nagle S, Suter RM, Nagle JF (1996): Structure of the ripple phase in lecithin bilayers. (preprint)
Taga T, Masuda K (1995): Monte Carlo study of lipid membranes: Simulation of dipalmitoylphosphatadylcholine bilayers in gel and liquid-crystalline phases. J Comp Chem 16:235–242
Tristram-Nagle S, Zhang R, Suter RM, Worthington CR, Sun WJ, Nagle JF (1993): Measurement of chain tilt angle in fully hydrated bilayers of gel phase lecithins. Biophys J 64:1097–1109
Whittington S, Chapman D (1966): Effect of density on configurational properties of long chain molecules using a Monte Carlo method. Trans Faraday Soc 62:62–72
Xing J, Scott HL (1992): Monte Carlo studies of a model for lipid-gramicidin A bilayers. Biochim Biophys Acta 1106:227–232
Xing J, Scott HL (1989): Monte Carlo studies of lipid chains and gramicidin A in a model membrane. Biochem Biophys Res Comm 165:1–6
Zasadzinski JAN, Schneir J, Gurley J, Elings V, Hansma PK (1988): Scanning tunneling microscopy of freeze-fracture replicas of biomembranes. Science 239:1013–1015
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© 1996 Birkhäuser Boston
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Scott, H.L. (1996). Statistical Mechanics and Monte Carlo Studies of Lipid Membranes. In: Merz, K.M., Roux, B. (eds) Biological Membranes. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-8580-6_3
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DOI: https://doi.org/10.1007/978-1-4684-8580-6_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4684-8582-0
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