Skip to main content
Log in

On the use of one-step perturbation to investigate the dependence of NOE-derived atom–atom distance bound violations of peptides upon a variation of force-field parameters

  • Biophysics Letter
  • Published:
European Biophysics Journal Aims and scope Submit manuscript

Abstract

The method of one-step perturbation can be used to predict from a single molecular dynamics simulation the values of observable quantities as functions of variations in the parameters of the Hamiltonian or biomolecular force field used in the simulation. The method is used to predict violations of nuclear overhauser effect (NOE) distance bounds measured in nuclear magnetic resonance (NMR) experiments by atom–atom distances of the NOE atom pairs when varying force-field parameters. Predictions of NOE distance bound violations between different versions of the GROMOS force field for a hexa-β-peptide in solution show that the technique works for rather large force-field parameter changes as well as for very different NOE bound violation patterns. The effect of changing individual force-field parameters on the NOE distance bound violations of the β-peptide and an α-peptide was investigated too. One-step perturbation, which in this case is equivalent to reweighting configurations, constitutes an efficient technique to predict many values of different quantities from a single conformational ensemble for a particular system, which makes it a powerful force-field development technique that easily reduces the number of required separate simulations by an order of magnitude.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

References

  • Bachmann S, Dolenc J, van Gunsteren WF (2013) On the use of one-step perturbation to investigate the dependence of different properties of liquid water upon a variation of model parameters from a single simulation. Mol Phys 111(14–15):2334

    Article  CAS  Google Scholar 

  • Cornell WD, Cieplak P, Bayly CI, Gould IR, Merz KM, Ferguson DM, Spellmeyer DC, Fox T, Caldwell JW, Kollman PA (1995) A second generation force field for the simulation of proteins, nucleic acids, and organic molecules. J Am Chem Soc 117(19):5179–5197

    Article  CAS  Google Scholar 

  • Daura X, Gademann K, Jaun B, Seebach D, van Gunsteren WF, Mark AE (1999) Peptide folding: when simulation meets experiment. Angew Chem Int Ed 38(1–2):236–240

    Article  CAS  Google Scholar 

  • Eichenberger AP, Gattin Z, Yalak G, van Gunsteren WF (2010) Molecular dynamics simulation of ester-linked hen egg white lysozyme reveals the effect of missing backbone hydrogen bond donors on the protein structure. Helv Chim Acta 93(10):1857–1869

    Article  CAS  Google Scholar 

  • Eichenberger AP, Allison JR, Dolenc J, Geerke DP, Horta BAC, Meier K, Oostenbrink C, Schmid N, Steiner D, Wang DQ, van Gunsteren WF (2011) GROMOS plus plus software for the analysis of biomolecular simulation trajectories. J Chem Theory Comput 7(10):3379–3390

    Article  CAS  Google Scholar 

  • Horta BAC, Fuchs PFJ, van Gunsteren WF, Hünenberger PH (2011) New interaction parameters for oxygen compounds in the GROMOS force field: improved pure-liquid and solvation properties for alcohols, ethers, aldehydes, ketones, carboxylic acids, and esters. J Chem Theory Comput 7(4):1016–1031

    Article  CAS  Google Scholar 

  • Hritz J, Oostenbrink C (2009) Efficient free energy calculations for compounds with multiple stable conformations separated by high energy barriers. J Phys Chem B 113(38):12711–12720

    Article  CAS  PubMed  Google Scholar 

  • Jorgensen WL, Maxwell DS, TiradoRives J (1996) Development and testing of the OPLS all-atom force field on conformational energetics and properties of organic liquids. J Am Chem Soc 118(45):11225–11236

    Article  CAS  Google Scholar 

  • Li DW, Brüschweiler R (2010) NMR-based protein potentials. Angew Chem Int Ed 49(38):6778–6780

    Article  CAS  Google Scholar 

  • Lin ZX, van Gunsteren WF (2013) Refinement of the application of the GROMOS 54A7 force field to β-peptides. J Comput Chem 34(32):2796–2805

    Article  CAS  PubMed  Google Scholar 

  • Liu HY, Mark AE, van Gunsteren WF (1996) Estimating the relative free energy of different molecular states with respect to a single reference state. J Phys Chem 100(22):9485–9494

    Article  CAS  Google Scholar 

  • MacKerell AD, Bashford D, Bellott M, Dunbrack RL, Evanseck JD, Field MJ, Fischer S, Gao J, Guo H, Ha S, Joseph-McCarthy D, Kuchnir L, Kuczera K, Lau FTK, Mattos C, Michnick S, Ngo T, Nguyen DT, Prodhom B, Reiher WE, Roux B, Schlenkrich M, Smith JC, Stote R, Straub J, Watanabe M, Wiorkiewicz-Kuczera J, Yin D, Karplus M (1998) All-atom empirical potential for molecular modeling and dynamics studies of proteins. J Phys Chem B 102(18):3586–3616

    Article  CAS  Google Scholar 

  • Oostenbrink C (2012) Free energy calculations from one-step perturbations. In: Baron R (ed) Computational drug discovery and design, methods in molecular biology, vol 819. Humana, New York, pp 487–499

    Chapter  Google Scholar 

  • Oostenbrink C, van Gunsteren WF (2005) Efficient calculation of many stacking and pairing free energies in DNA from a few molecular dynamics simulations. Chem Eur J 11(15):4340–4348

    Article  CAS  PubMed  Google Scholar 

  • Oostenbrink C, Villa A, Mark AE, van Gunsteren WF (2004) A biomolecular force field based on the free enthalpy of hydration and solvation: the GROMOS force-field parameter sets 53A5 and 53A6. J Comput Chem 25(13):1656–1676

    Article  CAS  PubMed  Google Scholar 

  • Reif MM, Hünenberger PH, Oostenbrink C (2012) New interaction parameters for charged amino acid side chains in the GROMOS force field. J Chem Theory Comput 8(10):3705–3723

    Article  CAS  Google Scholar 

  • Reif MM, Winger M, Oostenbrink C (2013) Testing of the GROMOS force-field parameter set 54A8: structural properties of electrolyte solutions, lipid bilayers, and proteins. J Chem Theory Comput 9(2):1247–1264

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  • Riniker S, Christ CD, Hansen HS, Hünenberger PH, Oostenbrink C, Steiner D, van Gunsteren WF (2011) Calculation of relative free energies for ligand-protein binding, solvation, and conformational transitions using the GROMOS software. J Phys Chem B 115(46):13570–13577

    Article  CAS  PubMed  Google Scholar 

  • Schmid N, Allison JR, Dolenc J, Eichenberger AP, Kunz APE, van Gunsteren WF (2011a) Biomolecular structure refinement using the GROMOS simulation software. J Biomol NMR 51(3):265–281

    Article  CAS  PubMed  Google Scholar 

  • Schmid N, Eichenberger AP, Choutko A, Riniker S, Winger M, Mark AE, van Gunsteren WF (2011b) Definition and testing of the GROMOS force-field versions 54A7 and 54B7. Eur Biophys J 40(7):843–856

    Article  CAS  PubMed  Google Scholar 

  • Schmid N, Christ CD, Christen M, Eichenberger AP, van Gunsteren WF (2012) Architecture, implementation and parallelisation of the GROMOS software for biomolecular simulation. Comput Phys Commun 183(4):890–903

    Article  CAS  Google Scholar 

  • Schuler LD, Daura X, van Gunsteren WF (2001) An improved GROMOS96 force field for aliphatic hydrocarbons in the condensed phase. J Comput Chem 22(11):1205–1218

    Article  CAS  Google Scholar 

  • Seebach D, Abele S, Gademann K, Guichard G, Hintermann T, Jaun B, Matthews JL, Schreiber JV (1998) β2- and β3-peptides with proteinaceous side chains: synthesis and solution structures of constitutional isomers, a novel helical secondary structure and the influence of solvation and hydrophobic interactions on folding. Helv Chim Acta 81(5):932–982

    Article  CAS  Google Scholar 

  • Seebach D, Mathad RI, Kimmerlin T, Mahajan YR, Bindschadler P, Rueping M, Jaun B, Hilty C, Etezady-Esfarjani T (2005) NMR-solution structures in methanol of an α-heptapeptide, of a β3/β2-nonapeptide, and of an all-β3-icosapeptide carrying the 20 proteinogenic side chains. Helv Chim Acta 88(7):1969–1982

    Article  CAS  Google Scholar 

  • Steiner D, Allison JR, Eichenberger AP, van Gunsteren WF (2012) On the calculation of 3Jαβ-coupling constants for side chains in proteins. J Biomol NMR 53(3):223–246

    Article  CAS  PubMed  Google Scholar 

  • Torrie GM, Valleau JP (1977) Nonphysical sampling distributions in Monte Carlo free-energy estimation: umbrella sampling. J Comput Phys 23(2):187–199

    Article  Google Scholar 

  • van Gunsteren WF, Berendsen HJC (1990) Computer-simulation of molecular-dynamics: methodology, applications, and perspectives in chemistry. Angew Chem Int Ed 29(9):992–1023

    Article  Google Scholar 

  • van Gunsteren WF, Bakowies D, Baron R, Chandrasekhar I, Christen M, Daura X, Gee P, Geerke DP, Glättli A, Hünenberger PH, Kastenholz MA, Oostenbrink C, Schenk M, Trzesniak D, van der Vegt NFA, Yu HB (2006) Biomolecular modeling: goals, problems, perspectives. Angew Chem Int Ed 45(25):4064–4092

    Article  Google Scholar 

  • van Gunsteren WF et al. http://www.gromos.net

  • Wang DQ, Friedmann M, Gattin Z, Jaun B, van Gunsteren WF (2010) The propensity of α-aminoisobutyric acid (=2-methylalanine; Aib) to induce helical secondary structure in an α-heptapeptide: a computational study. Helv Chim Acta 93(8):1513–1531

    Article  CAS  Google Scholar 

  • Wüthrich K, Billeter M, Braun W (1983) Pseudo-structures for the 20 common amino acids for use in studies of protein conformations by measurements of intramolecular proton-proton distance constraints with nuclear magnetic resonance. J Mol Biol 169(4):949–961

    Article  PubMed  Google Scholar 

Download references

Acknowledgments

This work was financially supported by the National Center of Competence in Research (NCCR) in Structural Biology and by grant number 200020–137827 of the Swiss National Science Foundation, and by grant number 228076 of the European Research Council (ERC), which is gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wilfred F. van Gunsteren.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lin, Z., Oostenbrink, C. & van Gunsteren, W.F. On the use of one-step perturbation to investigate the dependence of NOE-derived atom–atom distance bound violations of peptides upon a variation of force-field parameters. Eur Biophys J 43, 113–119 (2014). https://doi.org/10.1007/s00249-014-0943-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00249-014-0943-3

Keywords

Navigation