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. 1984 Sep;46(3):371–382. doi: 10.1016/S0006-3495(84)84033-3

A self-consistent chain model for the phase transitions in lipid bilayer membranes.

T Kambara, N Sasaki
PMCID: PMC1434945  PMID: 6487736

Abstract

We presented a mechanical model of a lipid bilayer membrane. The internal conformations of a polar head group and double hydrocarbon chains in a lipid molecule were described on the basis of the isomeric bond-rotation scheme. The thermodynamic properties of the lipid membranes were represented by a density matrix that described the rotational isomeric states of the head groups and chains. The parameters that determined the density matrix were obtained in the presence of the intermolecular interactions, which depend on the conformation of the molecules. The interchain interaction was given by the Kihara potential, which depends on the shape of the chains. The Coulomb interaction between the polar head groups and the lateral pressure were considered. The calculation was made for the three lipid molecules corresponding to DMPC, DPPC, and DSPC. The model agreed well with the following experimental results: the temperature, the latent heat of the gel-to-liquid crystalline phase transition, the temperature dependencies of (a) the intermolecular distance, (b) the number of gauche bonds in a hydrocarbon chain, (c) the order parameter for the bond orientation, (d) the volume of the membrane, (e) the thermal expansion coefficients, and (f) the birefringence.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Blazyk J. F., Melchoir D. L., Steim J. M. An automated differential scanning dilatometer. Anal Biochem. 1975 Oct;68(2):586–599. doi: 10.1016/0003-2697(75)90654-5. [DOI] [PubMed] [Google Scholar]
  2. Bothorel P., Belle J., Lemaire B. Theoretical study of aliphatic chain structure in mono- and bilayers. Chem Phys Lipids. 1974 Apr;12(2):96–116. doi: 10.1016/0009-3084(74)90048-6. [DOI] [PubMed] [Google Scholar]
  3. Büldt G., Gally H. U., Seelig A., Seelig J., Zaccai G. Neutron diffraction studies on selectively deuterated phospholipid bilayers. Nature. 1978 Jan 12;271(5641):182–184. doi: 10.1038/271182a0. [DOI] [PubMed] [Google Scholar]
  4. Büldt G., Gally H. U., Seelig J., Zaccai G. Neutron diffraction studies on phosphatidylcholine model membranes. I. Head group conformation. J Mol Biol. 1979 Nov 15;134(4):673–691. doi: 10.1016/0022-2836(79)90479-0. [DOI] [PubMed] [Google Scholar]
  5. Chapman D. Phase transitions and fluidity characteristics of lipids and cell membranes. Q Rev Biophys. 1975 May;8(2):185–235. doi: 10.1017/s0033583500001797. [DOI] [PubMed] [Google Scholar]
  6. Cherry R. J., Chapman D. Optical properties of black lecithin films. J Mol Biol. 1969 Feb 28;40(1):19–32. doi: 10.1016/0022-2836(69)90293-9. [DOI] [PubMed] [Google Scholar]
  7. Engelman D. M. Lipid bilayer structure in the membrane of Mycoplasma laidlawii. J Mol Biol. 1971 May 28;58(1):153–165. doi: 10.1016/0022-2836(71)90238-5. [DOI] [PubMed] [Google Scholar]
  8. Gaber B. P., Peticolas W. L. On the quantitative interpretation of biomembrane structure by Raman spectroscopy. Biochim Biophys Acta. 1977 Mar 1;465(2):260–274. doi: 10.1016/0005-2736(77)90078-5. [DOI] [PubMed] [Google Scholar]
  9. Hauser H., Pascher I., Pearson R. H., Sundell S. Preferred conformation and molecular packing of phosphatidylethanolamine and phosphatidylcholine. Biochim Biophys Acta. 1981 Jun 16;650(1):21–51. doi: 10.1016/0304-4157(81)90007-1. [DOI] [PubMed] [Google Scholar]
  10. Hubbell W. L., McConnell H. M. Molecular motion in spin-labeled phospholipids and membranes. J Am Chem Soc. 1971 Jan 27;93(2):314–326. doi: 10.1021/ja00731a005. [DOI] [PubMed] [Google Scholar]
  11. Mabrey S., Sturtevant J. M. Investigation of phase transitions of lipids and lipid mixtures by sensitivity differential scanning calorimetry. Proc Natl Acad Sci U S A. 1976 Nov;73(11):3862–3866. doi: 10.1073/pnas.73.11.3862. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Marcelja S. Chain ordering in liquid crystals. II. Structure of bilayer membranes. Biochim Biophys Acta. 1974 Oct 29;367(2):165–176. doi: 10.1016/0005-2736(74)90040-6. [DOI] [PubMed] [Google Scholar]
  13. McCammon J. A., Deutch J. M. "Semiempirical" models for biomembrane phase transitions and phase separations. J Am Chem Soc. 1975 Nov 12;97(23):6675–6681. doi: 10.1021/ja00856a013. [DOI] [PubMed] [Google Scholar]
  14. Nagle J. F., Wilkinson D. A. Lecithin bilayers. Density measurement and molecular interactions. Biophys J. 1978 Aug;23(2):159–175. doi: 10.1016/S0006-3495(78)85441-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
  15. Petersen N. O., Chan S. I. More on the motional state of lipid bilayer membranes: interpretation of order parameters obtained from nuclear magnetic resonance experiments. Biochemistry. 1977 Jun 14;16(12):2657–2667. doi: 10.1021/bi00631a012. [DOI] [PubMed] [Google Scholar]
  16. Rothman J. E. The molecular basis of mesomorphic phase transitions in phospholipid systems. J Theor Biol. 1973 Jan;38(1):1–16. doi: 10.1016/0022-5193(73)90221-x. [DOI] [PubMed] [Google Scholar]
  17. Schindler H., Seelig J. Deuterium order parameters in relation to thermodynamic properties of a phospholiped bilayer. A statistical mechanical interpretation. Biochemistry. 1975 Jun 3;14(11):2283–2287. doi: 10.1021/bi00682a001. [DOI] [PubMed] [Google Scholar]
  18. Scott H. L., Jr Monte Carlo studies of the hydrocarbon region of lipid bilayers. Biochim Biophys Acta. 1977 Sep 19;469(3):264–271. doi: 10.1016/0005-2736(77)90162-6. [DOI] [PubMed] [Google Scholar]
  19. Seelig A., Seelig J. The dynamic structure of fatty acyl chains in a phospholipid bilayer measured by deuterium magnetic resonance. Biochemistry. 1974 Nov 5;13(23):4839–4845. doi: 10.1021/bi00720a024. [DOI] [PubMed] [Google Scholar]
  20. Seelig J., Niederberger W. Two pictures of a lipid bilayer. A comparison between deuterium label and spin-label experiments. Biochemistry. 1974 Apr 9;13(8):1585–1588. doi: 10.1021/bi00705a005. [DOI] [PubMed] [Google Scholar]
  21. Träuble H., Sackmann E. Studies of the crystalline-liquid crystalline phase transition of lipid model membranes. 3. Structure of a steroid-lecithin system below and above the lipid-phase transition. J Am Chem Soc. 1972 Jun 28;94(13):4499–4510. doi: 10.1021/ja00768a015. [DOI] [PubMed] [Google Scholar]
  22. Vaz M. J., Vaz N. A., Doane J. W., Westerman P. W. Orientational order and rotational diffusion of the head group in the bilayer membrane. A nuclear magnetic resonance study. Biophys J. 1979 Nov;28(2):327–338. doi: 10.1016/S0006-3495(79)85180-2. [DOI] [PMC free article] [PubMed] [Google Scholar]

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