Abstract
We review uses of the generalized-ensemble algorithms for free-energy calculations in protein folding. Two of the well-known methods are multicanonical algorithm and replica-exchange method; the latter is also referred to as parallel tempering. We present a new generalized-ensemble algorithm that combines the merits of the two methods; it is referred to as the replica-exchange multicanonical algorithm. We also give a multidimensional extension of the replica-exchange method. Its realization as an umbrella sampling method, which we refer to as the replica-exchange umbrella sampling, is a powerful algorithm that can give free energy in wide reaction coordinate space.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Vásquez, M., Némethy, G. & Scheraga, H.A. (1994) Chen at vao day. Chem. Rev. 94, 2183–2239.
Berne, B.J. & Straub, J.E. (1997) Curr. Opin. Struct. Biol. 7, 181–189.
Hansmann, D.H.E. & Okamoto, Y. (1999) Curr. Opin. Struct. Biol. 9, 177–183.
Hansmann, D.H.E. & Okamoto, Y. (1999)in Annual Reviews of Computational Physics VI, Stauffer, D., Ed., World Scientific, Singapore, pp. 129–157.
Mitsutake, A., Sugita, Y. & Okamoto, Y. (2001) Biopolymers (Peptide Science), 60, 96–123.
Ferrenberg, A.M. & Swendsen, R.H. (1988) Phys. Rev. Lett. 61, 2635– 2638; Ferrenberg, A.M. & Swendsen, R.H. (1989) 63, 1658.
Ferrenberg, A.M. & Swendsen, R.H. (1989) Phys. Rev. Lett. 63, 1195–1198.
Kumar, S., Bouzida, D., Swendsen, R.H., Kollman, P.A. & Rosenberg, J.M. (1992) J. Comput. Chem. 13, 1011–1021.
Berg, B.A. & Neuhaus, T. (1991) Phys. Lett. B267, 249–253; Berg, B.A. & Neuhaus, T. (1992) Phys. Rev. Lett. 68, 9–12.
Berg, B.A. (2000) Fields Institute Communications 26, 1–24; also see condmat/9909236.
Lyubartsev, A.P., Martinovski, A.A., Shevkunov, S.V. & Vorontsov Velyaminov, P.N. (1992) J. Chem. Phys. 96, 1776–1783.
Marinari E. & Parisi, G. (1992) Europhys. Lett. 19, 451–458.
Hukushima, K. & Nemoto, K. (1996) J. Phys. Soc. Jpn. 65, 1604–1608; Hukushima, K., Takayama, H. & Nemoto, K. (1996) Int. J. Mod. Phys. C 7, 337–344.
Geyer, C.J. (1991) in Computing Science and Statistics: Proc. 23rd Symp. on the Interface, Keramidas, E.M., Ed., Interface Foundation, Fairfax Station, pp. 156–163.
Lee, J. (1993) Phys. Rev. Lett. 71, 211–214; 15. Lee, J. (1993) Phys. Rev. Lett. 71, 2353.
Hao, M.H. & Scheraga, H.A. (1994) J. Phys. Chem. 98, 4940–4948.
Bartels, C. & Karplus, M. (1998) J. Phys. Chem. B 102, 865–880.
Marinari, E., Parisi, G. & Ruiz-Lorenzo, J.J. (1998)in Spin Glasses and Random Fields, Young, A.P., Ed., World Scientific, Singapore, pp. 59–98.
Iba, Y. (2001) Int. J. Mod. Phys. C 12, 623–656.
Hansmann, D.H.E. & Okamoto, Y. (1993) J. Comput. Chem. 14, 1333–1338.
Hansmann, D.H.E., Masuya, M. & Okamoto, Y. (1997) Proc. Natl. Acad. Sci. U.S.A. 94, 10652–10656.
Hansmann, D.H.E., Okamoto, Y. & Onuchic, J.N. (1999) Proteins 34, 472–483.
Sugita, Y. & Okamoto, Y. (1999) Chem. Phys. Lett. 314, 141–151.
Hansmann, D.H.E. (1997) Chem. Phys. Lett. 281, 140–150.
Sugita, Y., Kitao, A. & Okamoto, Y. (2000) J. Chem. Phys. 113, 6042–6051.
Hukushima, K. (1999) Phys. Rev. E 60, 3606–3614.
Yan, Q. & de Pablo, J.J. (1999) J. Chem. Phys. 111, 9509–9516.
Torrie, G.M. & and Valleau, J.P. (1977) J. Comput. Phys. 23, 187–199.
Pangali, C., Rao, M. & Berne, B.J. (1979) J. Chem. Phys. 71, 2975–2981.
Northrup, S.H., Pear, M.R., Lee, C.-Y., McCammon, J.A. & Karplus, M. (1982) Proc. Natl. Acad. Sci. USA 79, 4035–4039.
Warshel, A. (1982) J. Phys. Chem. 86, 2218–2224.
Jorgensen, W.L. (1983) J. Phys. Chem. 87, 5304–5314.
Tembe, B.L. & McCammon, J.A. (1984) Computers & Chemistry 8, 281–283.
Boczko, KM. & Brooks, C.L. III (1993) J. Phys. Chem. 97, 4509–4513.
Yun-yu, S., Mark, A.E., Cun-xin, W., Fuhua, H., Berendsen, H.J.C. & van Gunsteren, W.F. (1993) Protein. Eng. 6, 289–295.
Kumar, S., Rosenberg, J.M., Bouzida, D., Swendsen, R.H. & Kollman, P.A. (1995) J. Comput. Chem. 16, 1339–1350.
Saito, M. & Tanimura, R. (1995) Chem. Phys. Lett. 236, 156–161.
Boczko, E.M. & Brooks, C.L. III (1995) Science 269, 393–396.
Sugita Y. & Kitao, A. (1998) Proteins 30, 388–400.
Sugita, Y. & Kitao, A. (1998) Biophys. J. 75, 2178–2187.
Fan, Z.Z., Hwang, J.-K. & Warshel, A. (1999) Theor. Chem. Ace. 103, 77–80.
Kong, X. & Brooks, C.L. III (1996) J. Chem. Phys. 105, 2414–2423.
Guo, Z., Brooks, C.L. III & Kong, X. (1998) J. Phys. Chem. Soc. B 102, 2032–2036.
Ikeguchi, M., Shimizu, S., Tazaki, K., Nakamura, S. & Shimizu, K. (1998) Chem. Phys. Lett. 288, 333–337.
Ono, S., Nakajima, N., Higo, J. & Nakamura, H. (1999) Chem. Phys. Lett. 312, 247–254.
Sugita, Y. & Okamoto, Y. (2000) Chem. Phys. Lett. 329, 261–270.
Mitsutake, A. & Okamoto, Y. (2000) Chem. Phys. Lett. 332, 131–138.
Hansmann, D.H.E., Okamoto, Y. & Eisenmenger, F. (1996) Chem. Phys. Lett. 259, 321–330.
Nakajima, N., Nakamura, H. & Kidera, A. (1997) J. Phys. Chem. B 101, 817–824.
Okamoto, Y. & Hansmann, D.H.E. (1995) J. Phys. Chem. 99, 11276–11287.
Hansmann, V.H.E. (1997) Phys. Rev. E 56, 6201–6203.
Weiner, S.J., Kollman, P.A., Nguyen, D.T. & Case, D.A. (1986) J. Comput. Chem. 7, 230– 252.
Cornell, W.D., Cieplak, P., Bayly, C.L, Gould, LR., Merz, K.M., Ferguson, D.M., Splellmeyer, D.C., Fox, T., Caldwell, J.W. & Kollman, P.A. (1995) J. Am. Chem. Soc. 117, 5179– 5197.
Kitao, A., Hayward, S. & Go, N. (1998) Proteins 33, 496–517.
Morikami, K., Nakai, T., Kidera, A., Saito, M. & Nakamura, H. (1992) Cornput. Chem. 16, 243–248.
Hoover, W.G., Ladd, A.J.C. & Moran, B. (1982) Phys. Rev. Lett. 48, 1818–1820.
Evans, D.J. & Morris, G.P. (1983) Phys. Lett. A98, 433–436.
Jorgensen, W.L., Chandrasekhar, J., Madura, J.D., Impey, R.W. & Klein, M.L. (1982) J. Chem. Phys. 79, 926–935.
Warshel, A. & Aqvist, J. (1991) Annu. Rev. Biophys. Biomol. Struct. 20, 267–298.
Nakazawa, T. & Okamoto, Y. (1999) J. Peptide Res. 54, 230–236.
Kawai, H., Okamoto, Y., Fukugita, M., Naka zawa, T. & Kikuchi, T. (1991 Chem. Lett. 1991, 213–216; Okamoto, Y., Fukugita, M., Nakazawa, T. & Kawai, H. (1991) Protein Eng. 4, 639–647.
Nishikawa, T., Sugita, Y., Mikami, M. & Okamoto, Y. (2001), in preparation.
Mitsutake, A., Hansmann, V.H.E. & Okamoto, Y. (1998) J. Mol. Graphics Mod. 16, 226–238; 262–263.
Sugita, Y. & Okamoto, Y. (2001), in preparation.
Kinoshita, M., Okamoto, Y. & Hirata, F. (1998) J. Am. Chem. Soc. 120, 1855–1863.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sugita, Y., Okamoto, Y. (2002). Free-Energy Calculations in Protein Folding by Generalized-Ensemble Algorithms. In: Schlick, T., Gan, H.H. (eds) Computational Methods for Macromolecules: Challenges and Applications. Lecture Notes in Computational Science and Engineering, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56080-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-56080-4_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43756-7
Online ISBN: 978-3-642-56080-4
eBook Packages: Springer Book Archive