Abstract
The area of two-dimensional and quasi two-dimensional systems and their static structures and phase transitions has become a major field of study. If one restricts oneself to “pure” lipid monolayers and bilayers, one must be prepared to discuss, for example, the various structures that arise at the main, pre- and subtransitions (Chen et al., 1980) in bilayers, structures in monolayers that give rise to their characteristic isotherms, as well as effects of pH and ionic concentration on their interactions in the polar region. Some of the phenomena apparently involve competition between interactions in the hydrophobic region of bilayers and those in the polar region, while there is considerable disagreement as to the mechanisms that give rise to monolayer isotherms and the location and nature of their critical points. In a mixed system, a great variety of bilayers, ranging from two-component systems (lipid 1-lipid 2, lipid-cholesterol, lipid-protein) to biological membranes, can occur. A brief review such as this could fall between two extremes: either essentially a list of references with a few words added to say what they contain; or a more detailed exposition of only a few topics. Recently there have been several reviews of theoretical work concerned with monolayers (Bell et al., 1981), the physical effects underlying membrane organisation (Israelachvili et al., 1980), the main lipid phase transition at Tc (Nagle, 1980), the methods used and models constructed to study phase changes in one- and two-component bilayers (Pink, 1981), and models of monolayers and bilayers containing intrinsic molecules, such as anaesthetics (Caillé et al., 1980).
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References
Abraham, F. F. (1981a). Phys. Rep., 80, 340.
Abraham, F. F. (1981b). J. Chem. Phys., 75, 498.
Abramowitz, M. and Stegun, I. A. (1970). Handbook of Mathematical Functions, Dover Publications, New York.
Adam, N. K. and Jessop, G. (1926). Proc. R. Soc., A112, 364.
Albrecht, O., Gruler, H. and Sackmann, E. (1978). J. Phys. (Paris), 39, 301.
Alexandrowicz, Z. (1971). J. Chem. Phys., 55, 2780.
Barber, M. N. (1980). Phys. Rep., 59, 375.
Barker, J. A. and Henderson, D. (1976). Rev. Mod. Phys., 48, 587.
Bell, G. M., Mingins, J. and Taylor, J. A. G. (1978). J. chem. Soc., Faraday Trans. II., 74, 223.
Bell, G. M., Combs, L. L. and Dunne, L. J. (1981). Chem. Rev., 81, 15.
Berlin, T. H. and Kac, M. (1952). Phys. Rev., 86, 821.
Binder, K. (1974). Adv. Phys., 23, 917.
Binder, K. (1976). In Phase Transitions and Critical Phenomena (eds C. Domb and M. S. Green), Vol. 5b, Academic Press, London.
Binder, K. (1979). Monte Carlo Methods in Statistical Physics, Springer-Verlag, Heidelberg.
Blinc, R. and Žekš, B. (1974). Soft Modes in Ferroelectrics and Antiferroelectrics, North-Holland, Amsterdam.
Blume, A. (1979). Biochim. biophys. Acta, 557, 32.
Boggs, J. M., Clement, I. R. and Moscarello, M. A. (1980). Biochim. biophys. Acta, 601, 134.
Cadenhead, D. A. (1977). Nobel Symp., 34, 63.
Cadenhead, D. A., Müller-Landau, F. and Kellner, B. M. (1980). In Ordering in Two Dimensions (ed S. K. Sinha), North-Holland, New York, p. 73.
Caillé, A., Rapini, A., Zuckermann, M. J., Cros, A. and Doniach, S. (1978). Can. J. Phys., 56, 348.
Caillé, A., Pink, D. A., deVerteuil, F. and Zuckermann, M. J. (1980). Can. J. Phys., 58, 581.
Cater, B. R., Chapman, D., Hawes, S. M. and Saville, J. (1974). Biochirn. biophys. Acta, 303, 54.
Chan, W. K. and Webb, W. W. (1981). Phys. Rev. Lett., 46, 39.
Chapman, D. (1980). In Membrane Structure and Function (ed. E. Bittar) John Wiley, New York, Vol. 1.
Chen, H. H. (1978). Nuovo Cim., 43, 277.
Chen, S. C., Sturtevant, J. M. and Gaffney, B. J. (1980). Proc. natn. Acad. Sci. U.S.A., 77, 5060.
Cheng, W. H. (1980). Biochim. biophys. Acta, 600, 358.
Copeland, B. R. and McConnell, H. M. (1980). Biochim. biophys. Acta, 599, 95.
Davis, J. (1979). Biophys. J., 27, 339.
Day, J. and Willis, C. R. (1981). J. theor. Biol., 88,693.
deGennes, P. G. (1975). The Physics of Liquid Crystals, Clarendon Press, Oxford.
deVerteuil, F., Pink, D. A., Vadas, E. B. and Zuckermann, M. J. (1981). Biochim. biophys. Acta, 640, 207.
Dill, K. A. and Flory, P. J. (1980). Proc. natn. Acad. Sci. U.S.A., 77, 3115.
Dill, K. A. and Flory, P. J. (1981). Proc. natn. Acad. Sci. U.S.A., 78, 676.
Doniach, S. (1978). J. chem. Phys., 68, 4912.
Doniach, S. (1979). J. chem. Phys., 70, 4587.
Domb, C. (1960). Adv. Phys., 9, 149.
Domb, C. and Stoll, E. (1977). J. Phys, A 10, 1141.
Dunne, L. J. and Bell, G. M. (1980). J. Chem. Soc. Faraday Trans II, 76, 431.
Estep, T. N., Mountcastle, D. B., Biltonen, R. L. and Thompson, T. E. (1978). Biochemistry, 17, 1984.
Firpo, J. L., Dupin, J. J., Albinet, G., Baret, J. F. and Caillé, A. (1981). J. chem. Phys., 74, 2569.
Flory, P. J. (1969). The Statistical Mechanics of Chain Molecules, Wiley, New York.
Freire, E. and Biltonen, R. L. (1978). Biochim. biophys. Acta, 514, 54.
Freire, E. and Snyder, B. (1980a). Biochemistry, 19, 88.
Freire, E. and Snyder, B. (1980b). Biochim. biophys. Acta, 600, 643.
Freire, E. and Snyder, B. (1982). Biophys. J., 37, 617.
Frenkel, D. and McTague, J. P. (1980). A. Rev. Phys. Chem., 31, 491.
Fulford, A. J. C. and Peel, W. E. (1980). Biochim. biophys. Acta, 598, 237.
Gaines, G. L. Jr (1966). Insoluble Monolayers at Liquid-Gas Interfaces, Wiley, New York.
Georgallas, A. (1979). thesis, London.
Georgallas, A. and Pink, D. A. (1982a).J. Colloid. Interface Sci., 89, 107.
Georgallas, A. and Pink, D. A. (1982b). Can. J. Phys., 60, 1678.
Gomez-Fernandez, J. C., Goni, F. M., Bach, D., Restall, C. J. and Chapman, D. (1980). Biochim. biophys. Acta, 598, 502.
Gruen, D. W. R. (1980). Biochim. biophys. Acta, 595, 161.
Gruen, D. W. R. and Haydon, D. A. (1981). Biophys. J., 33, 149; 167.
Hammersley, J. M. and Handscomb, D. C. (1964). Monte Carlo Methods, Methuen, London.
Heer, C. V. (1972). Statistical Mechanics, Kinetic Theory and Stochastic Processes, Academic Press, New York.
Heyn, M. P. (1979). FEBS Lett., 108, 359.
Hinz, H-J. and Sturtevant, J. M. (1972). J. biol. Chem., 247, 3697.
Hoffmann, W. et al. (1980). J. molec. Biol., 141, 119.
Hoffmann, W., Pink, D. A., Restall, C. and Chapman, D. (1981). Eur. J. Biochem., 114, 585.
Huang, K. (1967). Statistical Mechanics, Wiley, New York.
Israelachvili, J. N., Marcelja, S. and Horn, R. G. (1980). Q. Rev. Biophys., 13, 121.
Jacobs, R. E., Hudson, B. S. and Andersen, H. C. (1977). Biochemistry, 16, 4349.
Jacobs, R. and Oldfield, E. (1981). In Progress in NMR Spectroscopy (eds J. W. Emsley, J. Feeny and L. H. Sutcliffe), Academic Press, New York, 14, 113.
Jähnig, F. (1979). J. chem. Phys., 70, 3279.
Jähnig, F. (1980). Proc. natn. Acad. Sci. U.S.A., 76, 6361.
Jähnig, F. (1981a). Biophys. J., 36, 329; (1981b). 36, 347.
Janiak, M. J., Small, D. M. and Shipley, G. G. (1976). Biochemistry, 15, 4575.
Kadanoff, L. P. (1976). In Phase Transitions and Critical Phenomena (eds C. Domb and M. S. Green), Academic Press, London, Vol. 5A.
Kanehisa, M. I. and Tsong, T. T. (1978). J. Am. Chem. Soc., 100, 424.
Kirkwood, J. G. (1943). Publ. Am. Ass. Advmt Sci. (Surf. Chem.), 21, 157.
Kittel, C. (1976). Introduction to Solid State Physics, Wiley, New York.
Kosterlitz, J. M. and Thouless, D. J. (1978). In Progress in Low Temperature Physics (ed. D. Brewer), North-Holland, Amsterdam, Vol. VIIb.
Landau, L. D., Lifshitz, E. M. and Pitaevskü, L. P. (1980). Statistical Physics, 3rd edn, Pergamon Press, Oxford.
Lavis, D. A., Southern, B. W. and Bell, G. M. (1982). J. Phys., C15, 1077.
Lee, A. G. (1977). Biochim. biophys. Acta, 472, 237; 285.
Lee, A. G. (1978). Biochim. biophys. Acta, 507, 433.
Lieb, E. H. and Wu, F. Y. (1972). In Phase Transitions and Critical Phenomena (eds C. Domb and M. S. Green), Academic Press, London, Vol. 1.
Lookman, T., Pink, D. A., Grundke, E. W., Zuckermann, M. J. and deVerteuil, F. (1982). Biochemistry, 21, 5593.
Luban, M. (1976). In Phase Transitions and Critical Phenomena (eds C. Domb and M. S. Green), Academic Press, London, Vol. 5A.
Luna, E. J. and McConnell, H. M. (1977a). Biochim. biophys. Acta, 466, 381.
Luna, E. J. and McConnell, H. M. (1977b). Biochim. Biophys. Acta, 470, 303.
Ma, S.-K. (1977). Modern Theory of Critical Phenomena, Benjamin, Reading, Mass.
Mabrey, S., Mateo, P. L. and Sturtevant, J. M. (1978). Biochemistry, 17, 2464.
Maier, W. and Saupe, A. (1959a). Z. Naturforsch. A14, 882; (1959b). 15, 287.
Martelja, S. (1974). Biochim. biophys. Acta, 367, 165.
Marcelja, S. (1976). Biochim. biophys. Acta, 455, 1.
Marcelja, S. and Wolfe, J. (1979). Biochim. biophys. Acta, 557, 24.
Mason, J. T., Huang, C-h. and Biltonen, R. L. (1981). Biochemistry, 20, 6086.
McCoy, B. M. and Wu, T. T. (1973). The Two-dimensional Ising Model, Harvard University Press, Cambridge, Mass.
Meirovitch, H. and Alexandrowicz, Z. (1977). J. statist. Phys., 16, 121.
Meraldi, J-P. and Schlitter, J. (1981). Biochim. biophys. Acta, 645, 183; 193.
Mermin, N. D. and Wagner, H. (1966). Phys. Rev. Lett., 17, 1133.
Messiah, A. (1967). Quantum Mechanics, North-Holland, Amsterdam, Vol. I, Ch. 8.
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H. and Teller, E. (1953). J. chem. Phys., 21, 1087.
Moraal, H. (1976). Physica, 85A, 457.
Nagle, J. F. (1973). J. chem. Phys., 58, 252.
Nagle, J. F. (1975). J. chem. Phys., 63, 1255.
Nagle, J. F. (1976). J. Membrane Biol., 27, 233.
Nagle, J. F. (1980). In A. Rev. Phys. Chem., 31, 157.
Nelson, D. R. and Halperin, B. I. (1979). Phys. Rev., B19, 2457.
Oldfield, E. et al. (1978). Proc. natn. Acad. Sci. U.S.A., 75, 4657.
Overath, P. and Thilo, L. (1978). In Biochemistry of Cell Walls and Membranes II. (ed. J. C. Metcalfe), University Park Press, Baltimore, Vol. 19, p. 1.
Owicki, J. C., Springgate, M. W. and McConnell, H. M. (1978). Proc. natn. Acad. Sci. U.S.A., 75, 1616.
Owicki, J. C. and McConnell, H. M. (1979). Proc. natn. Acad. Sci. U.S.A., 76, 4750.
Owicki, J. C. and McConnell, H. M. (1980). Biophys. J., 30, 383.
Pink, D. A. and Carroll, C. E. (1978). Phys. Lett., A66, 157.
Pink, D. A. and Chapman, D. (1979). Proc. natn. Acad. Sci. U.S.A., 76, 1542.
Pink, D. A., Georgallas, A. and Zuckermann, M. J. (1980a). Z. Physik, 40, 103.
Pink, D. A., Green, T. J. and Chapman, D. (1980b). Biochemistry, 19, 345.
Pink, D. A. and Zuckermann, M. J. (1980). FEBS Lett., 109. 5.
Pink, D. A.. (1981). In Biological Membranes (ed. D. Chapman), Academic Press, London, Vol. 4, 131.
Pink, D. A., Green, T. J. and Chapman D. (1981a) Biochemistry, 20, 6692.
Pink, D. A., Georgallas, A. and Chapman, D. (1981b). Biochemistry, 20, 7152.
Pink, D. A., Lookman, T., MacDonald, A. L., Zuckermann, M. J. and Jan, N. (1982). Biochim. biophys. Acta, 687, 42.
Priest, R. G. (1977). J. chem. Phys. 66, 722.
Prigogine, I., Mathot-Sarolea, L. and van Hove, L. (1952) Trans Faraday Soc., 48, 485.
Scott, H. L. Jr and Cheng, W-H. (1977) J Colloid. Interface Sci., 62, 125.
Scott, H. L. and Cheng, W-H. (1979) Biophys. J., 28, 117.
Schröder, H. (1977). J. chem. Phys., 67, 1617.
Seelie, A. and Seelie, J. (1975) Biochim. biophys. Acta, 406, 1.
Seelig, A. and Seelig, J. (1978). Hoppe-Seyler’s Z. Physiol Chem., 359, 1747.
Shreider, Yu, A. (1966). The Monte Carlo Method, Oxford University Press, Oxford.
Snyder, B. and Freire, E. (1980). Proc. natn. Acad. Sci. U.S.A., 77, 4055.
Snyder, R. G. (1967). J. chem. Phys., 47, 1316.
Snyder, R. G. (1970). J. molec. Spectrosc., 36, 222.
Snyder, R. G., Cameron, D. G., Casal, H. L., Compton, D. A. C. and Mantsch, H. H. (1982). Biochim. biophys. Acta, 684, 111.
Stanley, H. E. (1971). Introduction to Phase Transitions and Critical Phenomena, Oxford University Press, New York.
Stoll, E. and Domb, C. (1979). J. Phys., A12, 1843.
Tanford, C. (1979). Proc. natn. Acad. Sci. U.S.A., 76, 4175.
Tiessier-Lavigne, M., Boothroyd, A., Zuckermann, M. J. and Pink, D. A. (1982). J. chem. Phys., 76, 4587.
Thayer, A. M. and Kohler, S. J. (1981). Biochemistry, 20, 6831.
Von Dreele, P. H. (1978). Biochemistry, 17, 3939.
Wiegel, F. W. (1975). J. statist. Phys., 13, 515; (1976). Phys. Lett., 57A, 393; (1977). Physica, 89A, 397.
Wu, F. Y. (1982). Rev. mod. Phys., 54, 235.
Yager, P. and Peticolas, W. L. (1980). Biophys. J., 31, 359.
Zuckermann, M. J. and Pink, D. A. (1980). J. chem. Phys., 73, 2919.
Zuckermann, M. J., Pink, D. A., Costas, M. and Sanctuary, B. C. (1982). J. chem. Phys., 76, 4206.
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Pink, D.A. (1983). Theoretical models of monolayers, bilayers and biological membranes. In: Chapman, D. (eds) Biomembrane Structure and Function. Topics in Molecular and Structural Biology. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-06065-8_6
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