Abstract.
In the present paper we present results of calculations obtained with the use of the theoretical method described in our preceding paper [Eur. Phys. J. D, DOI: 10.1140/epjd/e2007-00328-9] and perform detail analysis of α-helix↔random coil transition in alanine polypeptides of different length. We have calculated the potential energy surfaces of polypeptides with respect to their twisting degrees of freedom and construct a parameter–free partition function of the polypeptide using the suggested method [Eur. Phys. J. D, DOI: 10.1140/epjd/e2007-00328-9]. From the build up partition function we derive various thermodynamical characteristics for alanine polypeptides of different length as a function of temperature. Thus, we analyze the temperature dependence of the heat capacity, latent heat and helicity for alanine polypeptides consisting of 21, 30, 40, 50 and 100 amino acids. Alternatively, we have obtained same thermodynamical characteristics from the use of molecular dynamics simulations and compared them with the results of the new statistical mechanics approach. The comparison proves the validity of the statistical mechanic approach and establishes its accuracy.
Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.References
A. Yakubovich, I. Solov'yov, A.V. Solov'yov, W. Greiner, Eur. Phys. J. D, DOI: 10.1140/epjd/e2007-00328-9
A. Yakubovich, I. Solov'yov, A. Solov'yov, W. Greiner, Eur. Phys. J. D 40, 363 (2006)
A. Yakubovich, I. Solov'yov, A. Solov'yov, W. Greiner, Europhys. News 38, 10 (2007)
B. Zimm, J. Bragg, J. Chem. Phys. 31, 526 (1959)
J. Gibbs, E. DiMarzio, J. Phys. Chem. 30, 271 (1959)
S. Lifson, A. Roig, J. Chem. Phys. 34, 1963 (1961)
J.A. Schellman, J. Phys. Chem. 62, 1485 (1958)
S. Lifson, J. Chem. Phys. 40, 3705 (1964)
D. Poland, H.A. Scheraga, J. Chem. Phys. 45, 1456 (1966)
T. Ooi, M. Oobatake, Proc. Natl. Acad. Sci. USA 88, 2859 (1991)
J. Gomez, V.J. Hilser, D. Xie, E. Freire, Proteins 22, 404 (1995)
D.J. Tobias, C.L. Brooks, Biochem. 30, 6059 (1991)
A.E. Garcia, K.Y. Sanbonmatsu, Proc. Natl. Acad. Sci. USA 99, 2781 (2002)
H. Nymeyer, A.E. Garcia, Proc. Natl. Acad. Sci. USA 100, 13934 (2003)
A. Irbäck, F. Sjunnesson, Proteins 56, 110 (2004)
D. Shental-Bechor, S. Kirca, N. Ben-Tal, T. Haliloglu, Biophys. J. 88, 2391 (2005)
R.A. Kromhout, B. Linder, J. Phys. Chem. B 105, 4987 (2001)
A. Chakrabartty, T. Kortemme, R.L. Baldwin, Protein Sci. 3, 843 (1994)
M. Go, N. Go, H.A. Scheraga, J. Chem. Phys. 52, 2060 (1970)
H.A. Scheraga, J.A. Villa, D.R. Ripoll, Biophys. Chem. 01-102, 255 (2002)
J.M. Scholtz, S. Marqusee, R.L. Baldwin, E.J. York, J.M. Stewart, M. Santoro, D.W. Bolen, Proc. Natl. Acad. Sci. USA 88, 2854 (1991)
I.K. Lednev, A.S. Karnoup, M.C. Sparrow, S.A. Asher, J. Am. Chem. Soc. 123, 2388 (2001)
P.A. Thompson, W.A. Eaton, J. Hofrichter, Biochem. 36, 9200 (1997)
S. Williams, R.G. Thimothy, P. Causgrove, K.S. Fang, R.H. Callender, W.H. Woodruff, R.B. Dyer, Biochem. 35, 691 (1996)
E. Shakhnovich, Chem. Rev. 106, 1559 (2006)
A. Finkelstein, O. Ptitsyn, Protein Physics. A Course of Lectures (Elsevier Books, Oxford, 2002)
J.E. Shea, C.L. Brooks, Ann. Rev. Phys. Chem. 52, 499 (2001)
N.V. Prabhu, K.A. Sharp, Ann. Rev. Phys. Chem. 56, 521 (2005)
A. Rubin, Biophysics: Theoretical Biophysics (Moscow University Press, Nauka, 2004)
A. Yakubovich, I. Solov'yov, A. Solov'yov, W. Greiner, Eur. Phys. J. D 39, 23 (2006)
A. Yakubovich, I. Solov'yov, A.V. Solov'yov, W. Greiner, Khimicheskaya Fizika (Chemical Physics) (in Russian) 25, 11 (2006)
I. Solov'yov, A. Yakubovich, A. Solov'yov, W. Greiner, Phys. Rev. E 73, 021916 (2006)
I. Solov'yov, A. Yakubovich, A.V.Solov'yov, W. Greiner, J. Exp. Theor. Phys. 102, 314 (2006); original Russian text, published in Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 129, 356 (2006)
D. Rapaport, The Art of Molecular Dynamics Simulation (Cambridge University Press, 2004)
J.C. Phillips, R. Braun, W. Wang, J. Gumbart, E. Tajkhorshid, E. Villa, C. Chipot, R.D. Skeel, L. Kale, K. Schulten, J. Comp. Chem. 26, 1781 (2005)
D. Frenkel, B.J. Smit, Understanding Molecular Simulation (Academic Press, 2001)
W. Coffey, Y. Kalmykov, J. Waldron, The Langevin Equation, Vol. 14 of World Scientific in Contemporary Chemical Physics (World Scientific Publishing Co., 2004)
F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw Hill, New York, 1965)
A. MacKerell et al., J. Phys. Chem. B 102, 3586 (1998)
E. Henriques, A. Solov'yov, Abstract at the WE-Heraeus-Seminar “Biomolecular Simulation: From Physical Principles to Biological Function” (2006)
E. Henriques, A. Solov'yov, Eur. Phys. J. D, submitted, arXiv:0704.3193
M. Sotomayor, D.P. Corey, K. Schulten, Science 13, 669 (2005)
J. Gullingsrud, K. Schulten, Biophys. J. 86, 3496 (2004)
D.L. Nelson, M.M. Cox, Principles of Biochemistry (W.H. Freeman and Company, New York, 2005)
D. Voet, J. Voet, Biochemistry (John Willey and Sons, Inc., USA, 2004)
W. Humphrey, A. Dalke, K. Schulten, J. Mol. Graph. 14, 33 (1996)
A. Becke, Phys. Rev. A 38, 3098 (1988)
C. Lee, W. Yang, R. Parr, Phys. Rev. B 37, 785 (1988)
D. Wei, H. Guo, D. Salahub, Phys. Rev. E 64, 011907 (2001)
L. Landau, E. Lifshitz, Statistical Physics (Pergamon Press, London-Paris, 1959)
A. Irbäck, B. Samuelsson, F. Sjunnesson, S. Wallin, Biophys. J. 85, 1466 (2003)
C. Nowak, V.G. Rostiashvilli, T.A. Viglis, J. Chem. Phys. 46, 4410 (1967)
T. Ooi, R.A. Scott, G. Vanderkooi, H.A. Scheraga, J. Chem. Phys. 46, 4410 (1967)
M. Cubrovic, O. Obolensky, A. Solov'yov, in preparation (2007)
M. Karas, F. Hillenkamp, Anal. Chem. 60, 2299 (1988)
F. Hillenkamp, M. Karas, Int. J. Mass Spectrom. 200, 71 (2000)
M. Karas, U. Bahr, I. Fournier, M. Gluckmann, A. Pfenninger, J. Mass Spectrom. 226, 239 (2003)
M. Wind, W. Lehmann, J. Anal. Atom. Spectrom. 19, 20 (2004)
J. Fenn, M. Mann, C. Meng, S. Wong, C. Whitehouse, Science 246, 64 (1989)
S. Bröndsted-Nielsen, J. Andersen, P. Hvelplund, B. Liu, S. Tomita, J. Phys. B-At. Mol. Opt. 37, R25 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Solov'yov, I., Yakubovich, A., Solov'yov, A. et al. α-helix↔random coil phase transition: analysis of ab initio theory predictions. Eur. Phys. J. D 46, 227–240 (2008). https://doi.org/10.1140/epjd/e2007-00327-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2007-00327-x