Abstract
MD simulations of five proteins in which helical chains are held together by hydrophobic packing were carried out to investigate the effect of hydrophobic force on simulated structures of these protein complexes in implicit generalized Born (GB) model. The simulation study employed three different methods to treat hydrophobic effect: the standard GB method that does not include explicit hydrophobic force, the LCPO method that includes explicit hydrophobic force based directly on solvent accessible surface area (SASA), and a proposed packing enforced GB (PEGB) method that includes explicit hydrophobic force based on the radius of gyration of the protein complex. Our simulation study showed that all five protein complexes were unpacked in the standard GB simulation (without explicit hydrophobic force). In the LCPO method, three of the five protein systems remained well packed during the simulation, indicating the need for an explicit hydrophobic force in GB model for these packed protein systems. However, two of the five systems were still unpacked during LCPO simulation. For comparison, all five protein systems remain well packed in simulation using the new PEGB method. Analysis shows that the failure of the LCPO method in two cases is related to the way that SASA changes during the unpacking process for these two systems. These examples showed that standard GB method without explicit hydrophobic force is not suitable for MD simulation of protein systems involving hydrophobic packing. A similar problem remains but to a much lesser extent in the LCPO method for some packed protein systems. The proposed PEGB method seems quite promising for MD simulation of large, multi-domain packed proteins in implicit solvent model.
Similar content being viewed by others
References
Pauling L, Corey RB, Branson HR (1951) Two hydrogen-bonded helical configurations of the polypeptide chain. Proc Natl Acad Sci U S A 37(4):205–211
Avbelj F, Baldwin RL (2006) Limited validity of group additivity for the folding energetic of the peptide group. Proteins 63(2):283–289
Avbelj F, Baldwin RL (2009) Origin of the change in solvation enthalpy of the peptide group when neighboring peptide groups are added. Proc Natl Acad Sci U S A 106(9):3137–3141
Bernal JD (1939) Structure of proteins. Nature 143(3625):663–667
Bolen DW, Rose GD (2008) Structure and energetics of the hydrogen-bonded backbone in protein folding. Annu Rev Biochem 77(1):339–362
Chen J, Stites WE (2001) Packing is a key selection factor in the evolution of protein hydrophobic cores. Biochemistry 40(50):15280–15289
Kauzmann W (1959) Some factors in the interpretation of protein denaturation. Adv Protein Chem 14:1–63
Pace C, Shirley B, McNutt M, Gajiwala K (1996) Forces contributing to the conformational stability of proteins. FASEB J 10(1):75–83
Rose G, Fleming P, Banavar J, Maritan A (2006) A backbone-based theory of protein folding. Proc Natl Acad Sci U S A 103(45):16623–16633
Tanford C (1962) Contribution of hydrophobic interactions to the stability of the globular conformation of proteins. J Am Chem Soc 84(22):4240–4247
Dill KA (1990) Dominant forces in protein folding. Biochemistry 29(31):7133–7155
Mirsky AE, Pauling L (1936) On the structure of native, denatured, and coagulated proteins. Proc Natl Acad Sci U S A 22(7):439–447
Pauling L, Corey RB (1951) A proposed structure for nucleic acids. Proc Natl Acad Sci U S A 37(11):729–740
Fersht AR (1987) The hydrogen-bond in molecular recognition. Trends Biochem Sci 12:301–304
Chandler D (2005) Interfaces and the driving force of hydrophobic assembly. Nature 437(7059):640–647
Silverstein TP (1998) The real reason why oil and water don’t mix. J Chem Educ 75(1):116–346
Charton M, Charton BI (1982) The structural dependence of amino acid hydrophobicity parameters. J Theor Biol 99(4):629–644
Gilmanshin R, Dyer RB, Callender RH (1997) Structural heterogeneity of the various forms of apomyoglobin: implications for protein folding. Protein Sci 6(10):2134–2142
Arai M, Kuwajima K (1996) Rapid formation of a molten globule intermediate in refolding of alpha-lactalbumin. Fold Des 1(4):275–287
Agashe VR, Shastry MC, Udgaonkar JB (1995) Initial hydrophobic collapse in the folding of barstar. Nature 377(6551):754–757
Vidugiris GJ, Markley JL, Royer CA (1995) Evidence for a molten globule-like transition state in protein folding from determination of activation volumes. Biochemistry 34(15):4909–4912
Meyer EE, Rosenberg KJ, Israelachvili J (2006) Recent progress in understanding hydrophobic interactions. Proc Natl Acad Sci U S A 103(43):15739–15746
Brooks BR, Brooks CL III, Mackerell AD Jr, Nilsson L, Petrella RJ, Roux B, Won Y, Archontis G, Bartels C, Boresch S, Caflisch A, Caves L, Cui Q, Dinner AR, Feig M, Fischer S, Gao J, Hodoscek M, Im W, Kuczera K, Lazaridis T, Ma J, Ovchinnikov V, Paci E, Pastor RW, Post CB, Pu JZ, Schaefer M, Tidor B, Venable RM, Woodcock HL, Wu X, Yang W, York DM, Karplus M (2009) CHARMM: the biomolecular simulation program. J Comput Chem 30(10):1545–1614
Lee MS, Feig M, Salsbury FR Jr, Brooks CL III (2003) New analytic approximation to the standard molecular volume definition and its application to generalized born calculations. J Comput Chem 24(11):1348–1356
Weiser J, Shenkin PS, Still WC (1999) Approximate atomic surfaces from linear combinations of pairwise overlaps (LCPO). J Comput Chem 20(2):217–230
Pande VS, Baker I, Chapman J, Elmer SP, Khaliq S, Larson SM, Rhee YM, Shirts MR, Snow CD, Sorin EJ, Zagrovic B (2003) Atomistic protein folding simulations on the submillisecond time scale using worldwide distributed computing. Biopolymers 68(1):91–109
Ryckaert JP, Ciccotti G, Berendsen HJC (1977) Numerical integration of the Cartesian equations of motion of a system with constrains: molecular dynamics of n-alkanes. J Comput Phys 23(3):327–341
Pastor RW, Brooks BR, Szabo A (1988) An analysis of the accuracy of langevin and molecular mynamics algorithm. Mol Phys 65(6):1409–1419
Onufriev A, Bashford D, Case DA (2004) Exploring protein native states and large-scale conformational changes with a modified generalized born model. Proteins Struct Funct Bioinforma 55(2):383–394
Harbury PB, Kim PS, Alber T (1994) Crystal structure of an isoleucine-zipper trimer. Nature 371(6492):80–83
Gonzalez L Jr, Woolfson DN, Alber T (1996) Buried polar residues and structural specificity in the GCN4 leucine zipper. Nat Struct Biol 3(12):1011–1018
Krylov D, Mikhailenko I, Vinson C (1994) A thermodynamic scale for leucine zipper stability and dimerization specificity: e and g interhelical interactions. EMBO J 13(12):2849–2861
Lovejoy B, Choe S, Cascio D, McRorie D, DeGrado W, Eisenberg D (1993) Crystal structure of a synthetic triple-stranded α-helical bundle. Science 259(5099):1288–1293
Liu J, Deng Y, Zheng Q, Cheng CS, Kallenbach NR, Lu M (2006) A parallel coiled-coil tetramer with offset helices. Biochemistry 45(51):15224–15231
Cavallo L, Kleinjung J, Fraternali F (2003) A fast algorithm for solvent accessible surface areas at atomic and residue level. Nucleic Acids Res 31(13):3364–3366
Lee B, Richards FM (1971) The interpretation of protein structures: estimation of static accessibility. J Mol Biol 55(3):379–400
Becue A, Meurice N, Leherte L, Vercauteren DP (2004) Evaluation of the protein solvent-accessible surface using reduced representations in terms of critical points of the electron density. J Comput Chem 25(9):1117–1126
Lu M, Shu W, Ji H, Spek E, Wang LY, Kallenbach NR (1999) Helix capping in the GCN4 leucine zipper. J Mol Biol 288(4):743–752
Ellisdon AM, Jani D, Köhler A, Hurt E, Stewart M (2010) Structural basis for the interaction between yeast Spt-Ada-Gcn5 acetyltransferase (SAGA) complex components Sgf11 and Sus1. J Biol Chem 285(6):3850–3856
Acknowledgments
L.L.D. is grateful to the National Natural Science Foundation of China (Grants 11147026 and 31200545) and the Scientific Research Award Fund for the Excellent Middle-Aged and Young Scientists of Shandong Province (Grant BS2011SW046) for support. Y.M. was supported by the Shanghai Rising-Star program (Grant11QA1402000). Q.G.Z. thanks the National Natural Science Foundation of China (Grant 11274206) for support. B.T. was supported by 973 Program (2013CB933800) and the National Key Natural Science Foundation of China (Grants 21035003 and 21227005). J.Z.H.Z. acknowledges financial support from the National Natural Science Foundation of China (Grants 10974054 and 20933002) and the Shanghai PuJiang program (Grant 09PJ1404000). We thank the Supercomputer Center of East China Normal University for CPU time support.
Author information
Authors and Affiliations
Corresponding authors
Electronic supplementary material
Below is the link to the electronic supplementary material.
ESM 1
(DOC 768 kb)
Rights and permissions
About this article
Cite this article
Duan, L.L., Zhu, T., Mei, Y. et al. An implementation of hydrophobic force in implicit solvent molecular dynamics simulation for packed proteins. J Mol Model 19, 2605–2612 (2013). https://doi.org/10.1007/s00894-013-1798-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00894-013-1798-8