Off-lattice model for the phase behavior of lipid-cholesterol bilayers

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 5, 1999, Pages 5790-5803

  Nielsen, Morten ^a   Miao, Ling ^b   Ipsen, John H ^b   Zuckermann, Martin J ^a   Mouritsen, Ole G ^b  

^a MCGILL UNIVERSITY   (Canada)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0001407248     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.5790     Document Type: Article

References (33)

1. Handbook of Biological Physics, edited by R. Lipowsky and E. Sackmann (North-Holland, Amsterdam, 1995), Vol. 1A-B.
2. M. Nielsen, L. Miao, J. H. Ipsen, K. Jørgensen, M. J. Zuckermann, and O. G. Mouritsen, Phys. Rev. E 54, 6889 (1996).
3. O. G. Mouritsen, Chem. Phys. Lipids 57, 179 (1991).
4. O. G. Mouritsen and M. J. Zuckermann, Chem. Phys. Lett. 135, 294 (1987).
5. J. H. Ipsen, G. Karlström, K. Wennerström, and M. J. Zuckermann, Biochim. Biophys. Acta 905, 162 (1987).
6. J. Lemmich, K. Mortensen, J. H. Ipsen, T. Hønger, R. Bauer, and O. G. Mouritsen, Eur. Biophys. J. 25, 293 (1997).
7. C. D. Mitchell and B. J. Litman, Biophys. J. 75, 896 (1998).
8. S. Halstenberg, T. Heimburg, T. Hianik, U. Kaatze, and R. Krivanek, Biophys. J. 75, 264 (1998).
9. D. Needham, T. J. McIntosh, and E. Evans, Biochemistry 27, 4668 (1988).
10. M. Vist and J. H. Davis, Biochemistry 29, 451 (1990).
11. D. A. Pink, T. J. Green, and D. Chapman, Biochemistry 19, 349 (1980).
12. P. S. Sahni, G. S. Grest, and M. P. Anderson, Phys. Rev. Lett. 50, 263 (1983).
13. S. Doniach, J. Chem. Phys. 68, 4912 (1978).
14. N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
15. D. Frenkel and B. Smit, Understanding Molecular Simulations (Academic Press, New York, 1996).
16. B. A. Berg and T. Neuhaus, Phys. Rev. Lett. 68, 9 (1992).
17. J. Risbo, Ph.D. thesis, Technical University of Denmark, 1997;J. Risbo, G. Besold, and O. G. Mouritsen (unpublished).
18. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988).
19. Phospholipids Handbook, edited by G. Cevc (Dekker, New York, 1993).
20. J. Lee and J. L. Kosterlitz, Phys. Rev. B 43, 3265 (1991).
21. J. H. Ipsen, O. G. Mouritsen, and M. J. Zuckermann, J. Chem. Phys. 91, 1855 (1989)
22. J. H. IpsenO. G. MouritsenM. J. ZuckermannBiophys. J. 56, 661 (1990).
23. J. L. Thewalt and M. Bloom, Biophys. J. 63, 1176 (1992).
24. F. M. Linseisen, J. L. Thewalt, M. Bloom, and T. M. Bayerl, Chem. Phys. Lipids 65, 141 (1993).
25. Cholesterol in Membrane Models, edited by Leonard Finegold (CRL Press, Boca Raton, FL, 1993).
26. In the case where the lo phase consists of only cholesterol and gel chains in the ordered state, the microscopic Hamiltonian Eq. (2) can be rewritten as an Ising model in an external field. If we associate the Ising spin (Formula presented) state with a chain in the ordered state and the Ising spin (Formula presented) state with a cholesterol molecule, the occupation variables (Formula presented) and (Formula presented) can be expressed as (Formula presented) (Formula presented). Rewriting Eq. (2) in terms of the Ising spin variable we get (Formula presented) Noting that the interaction potentials (Formula presented) and (Formula presented) have very similar strength and that the strength of the interaction potential (Formula presented) is relatively small, we see that the model becomes an antiferromagnetic Ising model in an external temperature and pressure dependent field. (Formula presented) (Formula presented) and (Formula presented) are all attractive interaction potentials.)
27. L. Gu, B. Chakraborty, P. L. Garrido, M. Phani, and J. L. Lebowitz, Phys. Rev. B 53, 11 985 (1996).
28. J. Rogers, A. G. Lee, and D. C. Wilton, Biochim. Biophys. Acta 552, 23 (1979).
29. S. W. Hui and Neng-Bo He, Biochemistry 22, 1159 (1983).
30. F. T. Presti, in Membrane Fluidity in Biology, edited by R. C. Aloia and J. M. Boggs (Academic Press, New York, 1985), Vol. 4, pp. 97–146.
31. K. Mortensen, W. Pfeiffer, E. Sackmann, and W. Knoll, Biochim. Biophys. Acta 945, 221 (1988).
32. Note that bilayers in our model are considered to be flat. An interpretation of ripple structures has recently been given in terms of a mesoscopic phenomenological model for lipid bilayers 32.
33. P. L. Hansen, L. Miao, and J. H. Ipsen, Phys. Rev. E 58, 2311 (1998).