A statistical mechanical model of the lipid bilayer above its phase transition.

A statistical mechanical model of a bilayer of dipalmitoyl-3-sn-phosphatidylcholine molecules above their phase transition is presented. A molecular field approximation developed in previous work by Marcelja is extended by setting the molecular field at each depth in the bilayer in proportion to the average chain order at that depth. The free energy of the hydrocarbon/water interface and that due to the interaction of the polar headgroups is included in the evaluation of the statistical weights of the chain conformations. The model gives good agreement with several independent experimental results. It resolves the dilemma posed by the experimental evidence that there is (i) a considerable variation in order parameter along the lipid chain, but (ii) no collective tilt in the more ordered region of the chain. The model gives an explanation of how the lipid chains pack under these two constraints. The order parameter profile down the chain does not correspond to the profile across the bilayer.

[1]  J. Seelig Deuterium magnetic resonance: theory and application to lipid membranes , 1977, Quarterly Reviews of Biophysics.

[2]  Charles Tanford,et al.  Theory of micelle formation in aqueous solutions , 1974 .

[3]  J. Seelig,et al.  Deuterium order parameters in relation to thermodynamic properties of a phospholiped bilayer. A statistical mechanical interpretation. , 1975, Biochemistry.

[4]  S. Marčelja Chain ordering in liquid crystals. I. Even‐odd effect , 1974 .

[5]  D. Haydon FUNCTIONS OF THE LIPID IN BILAYER ION PERMEABILITY , 1975, Annals of the New York Academy of Sciences.

[6]  H. L. Scott A theoretical model for lipid monolayer phase transitions. , 1975, Biochimica et biophysica acta.

[7]  J. Seelig,et al.  Deuterium-labeled lipids as structural probes in liquid crystalline bilayers. Deuterium magnetic resonance study , 1974 .

[8]  H. Mcconnell,et al.  THE FLEXIBILITY GRADIENT IN BIOLOGICAL MEMBRANES * , 1972, Annals of the New York Academy of Sciences.

[9]  G. Zaccai,et al.  Neutron diffraction studies on selectively deuterated phospholipid bilayers , 1978, Nature.

[10]  D. Haydon,et al.  The stability and properties of bimolecular lipid leaflets in aqueous solutions. , 1963, Journal of theoretical biology.

[11]  D. Mcclure Nature of the Rotational Phase Transition in Paraffin Crystals , 1968 .

[12]  C. Polnaszek,et al.  Molecular motion and order in single-bilayer vesicles and multilamellar dispersions of egg lecithin and lecithin-cholesterol mixtures. A deuterium nuclear magnetic resonance study of specifically labeled lipids. , 1976, Biochemistry.

[13]  H. Nakano,et al.  Theory of Orientational Order in Chain Molecules –Phase Transitions in n-Alkanes and Lipid Membranes– , 1977 .

[14]  S. Chan,et al.  More on the motional state of lipid bilayer membranes: interpretation of order parameters obtained from nuclear magnetic resonance experiments. , 1977, Biochemistry.

[15]  C. Bunn The melting points of chain polymers , 1955 .

[16]  E. Sackmann,et al.  Polymorphism of phospholipid monolayers , 1978 .

[17]  S. Marčelja,et al.  Chain ordering in liquid crystals. II. Structure of bilayer membranes. , 1974, Biochimica et biophysica acta.

[18]  L. Salem Attractive Forces between Long Saturated Chains at Short Distances , 1962 .

[19]  G. Shipley,et al.  Nature of the Thermal pretransition of synthetic phospholipids: dimyristolyl- and dipalmitoyllecithin. , 1976, Biochemistry.

[20]  H. L. Scott Some models for lipid bilayer and biomembrane phase transitions , 1975 .

[21]  N. Franks,et al.  Structural analysis of hydrated egg lecithin and cholesterol bilayers. II. Neutrol diffraction. , 1976, Journal of molecular biology.

[22]  J. Seelig,et al.  The dynamic structure of fatty acyl chains in a phospholipid bilayer measured by deuterium magnetic resonance. , 1974, Biochemistry.

[23]  Y. K. Levine Physical studies of membrane structure. , 1972, Progress in biophysics and molecular biology.

[24]  H. C. Andersen,et al.  A theory of phase transitions and phase diagrams for one- and two-component phospholipid bilayers. , 1977, Biochemistry.

[25]  Charles Tanford,et al.  The hydrophobic effect , 1980 .

[26]  J. Mccammon,et al.  "Semiempirical" models for biomembrane phase transitions and phase separations. , 1975, Journal of the American Chemical Society.

[27]  J. Israelachvili Refinement of the fluid-mosaic model of membrane structure. , 1977, Biochimica et biophysica acta.

[28]  A. Smith,et al.  Properties of Pure Normal Alkanes in the C17 to C36 Range , 1955 .

[29]  D. T. Cromer,et al.  X-ray scattering factors computed from numerical Hartree–Fock wave functions , 1968 .

[30]  J. Torbet,et al.  X-ray diffraction studies of lecithin bilayers. , 1976, Journal of theoretical biology.

[31]  M. B. Jackson A beta-coupled gauche kink description of the lipid bilayer phase transition. , 1976, Biochemistry.

[32]  D. Chapman,et al.  Monolayer characteristics of saturated 1,2,-diacyl phosphatidylcholines (lecithins) and phosphatidylethanolamines at the air-water interface. , 1968, Biochimica et biophysica acta.

[33]  Fred W. Billmeyer,et al.  Lattice Energy of Crystalline Polyethylene , 1957 .

[34]  J. Nagle,et al.  Lecithin bilayers. Density measurement and molecular interactions. , 1978, Biophysical journal.

[35]  H. L. Scott A model for phase transitions in lipid bilayers and biological membranes. , 1974, Journal of theoretical biology.

[36]  F. Reiss-Husson,et al.  The Structure of the Micellar Solutions of Some Amphiphilic Compounds in Pure Water as Determined by Absolute Small-Angle X-Ray Scattering Techniques , 1964 .

[37]  J. Nagle Theory of biomembrane phase transitions , 1973 .

[38]  S W Hui,et al.  Electron diffraction study of hydrated phospholipid single bilayers. Effects of temperature hydration and surface pressure of the "precursor" monolayer. , 1975, Biochimica et biophysica acta.

[39]  J. Seelig,et al.  Deuterium magnetic resonance studies of phospholipid bilayers. , 1974, Biochemical and biophysical research communications.

[40]  R. M. Williams,et al.  Physical studies of phospholipids. VI. Thermotropic and lyotropic mesomorphism of some 1,2-diacyl-phosphatidylcholines (lecithins) , 1967 .

[41]  I. Smith,et al.  A deuterium nuclear magnetic resonance study of the condensing effect of cholesterol on egg phosphatidylcholine bilayer membranes. I. Perdeuterated fatty acid probes. , 1976, Chemistry and physics of lipids.

[42]  R. Williams,et al.  On the nature of hydrocarbon chain motions in lipid liquid crystals , 1969 .

[43]  J. Seelig,et al.  31P nuclear magnetic resonance and the head group structure of phospholipids in membranes. , 1978, Biochimica et biophysica acta.

[44]  Structure and polymorphism of the hydrocarbon chains of lipids: a study of lecithin-water phases. , 1973 .

[45]  M. Volkenstein,et al.  Statistical mechanics of chain molecules , 1969 .