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Coarse-grained lattice model for investigating the role of cooperativity in molecular recognition

Hans Behringer, Andreas Degenhard, and Friederike Schmid

  • Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany

Phys. Rev. E 76, 031914 – Published 14 September, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.031914

Abstract

Equilibrium aspects of the molecular recognition of rigid biomolecules are investigated using coarse-grained lattice models. The analysis is carried out in two stages. First, an ensemble of probe molecules is designed with respect to the target biomolecule. The recognition ability of the probe ensemble is then investigated by calculating the free energy of association. The influence of cooperative and anticooperative effects accompanying the association of the target and probe molecules is studied. Numerical findings are presented and compared to analytical results which can be obtained in the limit of dominating cooperativity and in the mean-field formulation of the models.

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References (47)

  1. B. Alberts, D. Bray, L. Lewis, M. Raf, K. Roberts, and J. Watson, Molecular Biology of the Cell (Garland Publishing, New York, 1994).
  2. Protein-Protein Recognition, edited by C. Kleanthous (Oxford University Press, Oxford, 2000).
  3. K. Sneppen and G. Zocchi, Physics in Molecular Biology (Cambridge University Press, Cambridge, England, 2005).
  4. M. Delaage, in Molecular Recognition Mechanisms, edited by M. Delaage (VCH, New York, 1991), p. 1.
  5. L. Pauling and M. Delbrück, Science 92, 77 (1940).
  6. E. Fischer, Ber. Dtsch. Chem. Ges. 27, 2984 (1894).
  7. N. A. Peppas and Y. Huang, Pharm. Res. 19, 578 (2002).
  8. D. E. Koshland, Proc. Natl. Acad. Sci. U.S.A. 44, 98 (1958).
  9. J. Janin, in Protein-Protein Recognition, edited by C. Kleanthous (Oxford University Press, Oxford, 2000), p. 1.
  10. S. Wodak and S. J. Janin, Adv. Protein Chem. 61, 9 (2003).
  11. J. Janin and C. Chothia, J. Biol. Chem. 265, 16027 (1990).
  12. S. Jones and J. M. Thornton, Proc. Natl. Acad. Sci. U.S.A. 93, 13 (1996).
  13. S. Jones and J. M. Thornton, in Protein-Protein Recognition, edited by C. Kleanthous (Oxford University Press, Oxford, 2000), p. 33.
  14. P. Chakrabarti and J. Janin, Proteins Struct. Funct. Genet. 47, 334 (2002).
  15. D. Lancet, E. Sadovsky, and E. Seidemann, Proc. Natl. Acad. Sci. U.S.A. 90, 3715 (1993).
  16. J. Janin, Proteins Struct. Funct. Genet. 25, 438 (1996).
  17. J. Janin, Proteins Struct. Funct. Genet. 28, 153 (1997).
  18. S. Rosenwald, R. Kafri, and D. Lancet, J. Theor. Biol. 216, 327 (2002).
  19. J. Wang and G. M. Verkhivker, Phys. Rev. Lett. 90, 188101 (2003).
  20. A. Polotsky, A. Degenhard, and F. Schmid, J. Chem. Phys. 120, 6246 (2004).
  21. A. Polotsky, A. Degenhard, and F. Schmid, J. Chem. Phys. 121, 4853 (2004).
  22. T. Bogner, A. Degenhard, and F. Schmid, Phys. Rev. Lett. 93, 268108 (2004).
  23. J. Bernauer, A. Poupon, J. Azé, and J. Janin, Phys. Biol. 2, S17 (2005).
  24. J. Wang, Q. Lu, and H. P. Lu, PLOS Comput. Biol. 2, e78 (2006).
  25. H. Behringer, T. Bogner, A. Polotsky, A. Degenhard, and F. Schmid, J. Biotechnol. 129, 268 (2007).
  26. E. Baake, F. den Hollander, and N. Zint, http://arxiv.org/abs/q-bio/0605016.
  27. P. H. Von Hippel and O. G. Berg, Proc. Natl. Acad. Sci. U.S.A. 83, 1608 (1986).
  28. H. Behringer, A. Degenhard, and F. Schmid, Phys. Rev. Lett. 97, 128101 (2006).
  29. K. A. Dill, Biochemistry 24, 1501 (1985).
  30. H. Li, C. Tang, and N. S. Wingreen, Phys. Rev. Lett. 79, 765 (1997).
  31. J. Wang and W. Wang, Nat. Struct. Biol. 6, 1033 (1999).
  32. M. Cieplak, N. S. Holter, A. Maritan, and J. R. Banavar, J. Chem. Phys. 114, 1420 (2001).
  33. In evolution models, however, where sequences reproduce according to the modified HP Hamiltonian (1) and mutate subject to a reversible Markov process, the equilibrium distribution is indeed the Boltzmann distribution [E. Baake and N. Zint (private communication)].
  34. V. S. Pande, A. Yu. Grosberg, and T. Tanaka, Biophys. J. 73, 3192 (1997).
  35. V. S. Pande, A. Yu. Grosberg, and T. Tanaka, Rev. Mod. Phys. 72, 259 (2000).
  36. A. Jayaraman, C. K. Hall, and J. Genzer, Phys. Rev. Lett. 94, 078103 (2005).
  37. M. K. Gilson, J. A. Given, B. L. Bush, and J. A. McCammon, Biophys. J. 72, 1047 (1997).
  38. M. B. Jackson, Molecular and Cellular Biophysics (Cambridge University Press, Cambridge, England, 2006).
  39. E. di Cera, Chem. Rev. 98, 1563 (1998).
  40. V. Dotsenko, Introduction to the Replica Theory of Disordered Statistical Systems (Cambridge University Press, Cambridge, England, 2001).
  41. T. Schneider and E. Pytte, Phys. Rev. B 15, 1519 (1977).
  42. A. Hüller and M. Pleimling, Int. J. Mod. Phys. C 13, 947 (2002).
  43. F. Wang and D. P. Landau, Phys. Rev. Lett. 86, 2050 (2001).
  44. D. P. Landau, S. Tsai, and M. Exler, Am. J. Phys. 72, 1294 (2004).
  45. We are currently investigating further physical aspects of the introduced coarse-grained models for molecular recognition with mean-field methods. More details of the mean-field calculations will be published in a corresponding article.
  46. K. Jänich, Analysis für Physiker und Ingenieure (Springer-Verlag, Berlin, 2001).
  47. J. D. Murry, Asymptotic Analysis (Springer-Verlag, Berlin, 1984).

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