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Sampling Realistic Protein Conformations Using Local Structural Bias

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  • Thomas Hamelryck
  • John T Kent
  • Anders Krogh

Abstract

The prediction of protein structure from sequence remains a major unsolved problem in biology. The most successful protein structure prediction methods make use of a divide-and-conquer strategy to attack the problem: a conformational sampling method generates plausible candidate structures, which are subsequently accepted or rejected using an energy function. Conceptually, this often corresponds to separating local structural bias from the long-range interactions that stabilize the compact, native state. However, sampling protein conformations that are compatible with the local structural bias encoded in a given protein sequence is a long-standing open problem, especially in continuous space. We describe an elegant and mathematically rigorous method to do this, and show that it readily generates native-like protein conformations simply by enforcing compactness. Our results have far-reaching implications for protein structure prediction, determination, simulation, and design.Synopsis: Protein structure prediction is one of the main unsolved problems in computational biology today. A common way to tackle the problem is to generate plausible protein conformations using a fairly inaccurate but fast method, and to evaluate the conformations using an accurate but slow method. The main bottleneck lies in the first step, that is, efficiently exploring protein conformational space. Currently, the best way to do this is to construct plausible structures by stringing together fragments from experimentally determined protein structures, a method called fragment assembly. Hamelryck, Kent, and Krogh present a new method that can efficiently generate protein conformations that are compatible with a given protein sequence. Unlike for existing methods, the generated conformations cover a continuous range and come with an associated probability. The method shows great promise for use in protein structure prediction, determination, simulation, and design.

Suggested Citation

  • Thomas Hamelryck & John T Kent & Anders Krogh, 2006. "Sampling Realistic Protein Conformations Using Local Structural Bias," PLOS Computational Biology, Public Library of Science, vol. 2(9), pages 1-13, September.
  • Handle: RePEc:plo:pcbi00:0020131
    DOI: 10.1371/journal.pcbi.0020131
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    References listed on IDEAS

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    1. Amos Maritan & Cristian Micheletti & Antonio Trovato & Jayanth R. Banavar, 2000. "Optimal shapes of compact strings," Nature, Nature, vol. 406(6793), pages 287-290, July.
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    Cited by:

    1. David Simoncini & Kam Y J Zhang, 2013. "Efficient Sampling in Fragment-Based Protein Structure Prediction Using an Estimation of Distribution Algorithm," PLOS ONE, Public Library of Science, vol. 8(7), pages 1-10, July.
    2. Dong, Aqi & Melnykov, Volodymyr, 2024. "Contaminated Kent mixture model for clustering non-spherical directional data with heavy tails or scatter," Statistics & Probability Letters, Elsevier, vol. 208(C).
    3. Bee, Marco & Benedetti, Roberto & Espa, Giuseppe, 2017. "Approximate maximum likelihood estimation of the Bingham distribution," Computational Statistics & Data Analysis, Elsevier, vol. 108(C), pages 84-96.
    4. Marc Hallin & H Lui & Thomas Verdebout, 2022. "Nonparametric Measure-transportation-based Methods for Directional Data," Working Papers ECARES 2022-18, ULB -- Universite Libre de Bruxelles.
    5. Marco Bee & Roberto Benedetti & Giuseppe Espa, 2015. "Approximate likelihood inference for the Bingham distribution," DEM Working Papers 2015/02, Department of Economics and Management.
    6. David Simoncini & Francois Berenger & Rojan Shrestha & Kam Y J Zhang, 2012. "A Probabilistic Fragment-Based Protein Structure Prediction Algorithm," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-11, July.
    7. Fernández-Durán Juan José & Gregorio-Domínguez MarÍa Mercedes, 2014. "Modeling angles in proteins and circular genomes using multivariate angular distributions based on multiple nonnegative trigonometric sums," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 13(1), pages 1-18, February.
    8. Jes Frellsen & Ida Moltke & Martin Thiim & Kanti V Mardia & Jesper Ferkinghoff-Borg & Thomas Hamelryck, 2009. "A Probabilistic Model of RNA Conformational Space," PLOS Computational Biology, Public Library of Science, vol. 5(6), pages 1-11, June.

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