Thermodynamics of the coil to frozen globule transition in heteropolymers

Journal of Chemical Physics

Volumn 107, Issue 13, 1997, Pages 5118-5124

  Pande, Vijay S ^a,b   Grosberg, Alexander Yu ^b,c   Tanaka, Toyoichi ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Massachusetts Institute of Technology Cambridge   (United States)

^c SEMENOV INSTITUTE OF CHEMICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042519462     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.474875     Document Type: Article

References (27)

1. A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (American Institute of Physics, New York, 1994).
2. A. Yu. Grosberg and D. V. Kuznetsov, Macromolecules 25, 1970 (1992).
3. B. Chu, J. Polym. Sci., Part B Polym. Phys. 31, 2019 (1993); B. Chu, Q. Ying, and A. Yu. Grosberg, Macromolecules 28, 180 (1995).
4. B. Chu, J. Polym. Sci., Part B Polym. Phys. 31, 2019 (1993); B. Chu, Q. Ying, and A. Yu. Grosberg, Macromolecules 28, 180 (1995).
5. C. Wu and S. Q. Zhou, Macromolecules 28, 5388 (1995).
6. A. Yu. Grosberg, Biofizika 29, 569 (1984); T. Garel, L. Leibler, and H. Orland, J. Phys. II 4, 2139 (1994).
7. A. Yu. Grosberg, Biofizika 29, 569 (1984); T. Garel, L. Leibler, and H. Orland, J. Phys. II 4, 2139 (1994).
8. Y. Kantor and M. Kardar, Phys. Rev. E 52, 835 (1995); A. V. Dobrynin and M. Rubinstein, J. Phys. II 5, 677 (1995).
9. Y. Kantor and M. Kardar, Phys. Rev. E 52, 835 (1995); A. V. Dobrynin and M. Rubinstein, J. Phys. II 5, 677 (1995).
10. L. Noirez, P. Keller, and J. P. Cotton, Liq. Cryst. 18, 129 (1995).
11. C. Wu and S. Zhou, Phys. Rev. Lett. 77, 3053 (1997).
12. O. B. Ptitsyn, Adv. Protein Chem. 47, 83 (1995).
13. J. D. Bryngelson and P. G. Wolynes, Proc. Natl. Acad. Sci., USA 84, 7524 (1987).
14. E. Shakhnovich and A. Gutin, Biophys. Chem. 34, 187 (1989).
15. V. S. Pande, A. Yu. Grosberg, and T. Tanaka, Macromolecules 28, 2218 (1995).
16. J. D. Bryngelson and P. G. Wolynes, Biopolymers 30, 177 (1990).
17. A. Dinner, A. Sali, M. Karplus, and E. Shakhnovich, J. Chem. Phys. 101, 1444 (1994).
18. S. Plotkin, J. Wang, and P. G. Wolynes, J. Chem. Phys. 106, 2932 (1997).
19. B. Derrida, Phys. Rev. Lett. 45, 79(1980).
20. E. I. Shakhnovich and A. M. Gutin, Proc. Natl. Acad. Sci. USA 90, 7195 (1993).
21. V. S. Pande, A. Yu. Grosberg, and T. Tanaka, Folding & Design 2, 109 (1997).
22. V. S. Pande, C. Joerg, A. Yu. Grosberg, and T. Tanaka, J. Phys. A 27, 6231 (1994).
23. V. S. Pande, A. Yu. Grosberg, C. Joerg, and T. Tanaka, Phys. Rev. Lett. 77, 3565 (1996).
24. A. M. Gutin and E. I. Shakhnovich, J. Chem. Phys. 100, 5290 (1994).
25. Note that the validity of the loop factor relies on the assumption of Gaussian statistics of the chains. For coiled conformations, this holds to a reasonable approximation and for globular conformations, the chains behave as chains in a melt, again with Gaussian statistics. Thus, the entropy (A5) can be considered as the interpolation of the entropy for these two regimes and thus is most questionable in the region in between swollen and collapsed conformations; as this region is not of principle interest, we expect (A5) to be sufficient. Another approximation implicit in (A5) is that loops lengths are treated in a mean field manner and are assumed to be of the same length; this is valid for short chains, such as the 18-mers used in the computer simulation section. Inclusion of the fluctuation of loop lengths is an interesting correction to our theory, but beyond the scope of this paper.
26. S. Plotkin, J. Wang, and P. G. Wolynes, Phys. Rev. E 53, 6271 (1996).
27. We are indebted to E. Shakhnovich for this point.