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BWM*: A Novel, Provable, Ensemble-based Dynamic Programming Algorithm for Sparse Approximations of Computational

Jonathan D Jou1, Swati Jain1,2,3, Ivelin S Georgiev1

  • 11 Department of Computer Science, Duke University , Durham, North Carolina.

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|January 9, 2016
PubMed
Summary
This summary is machine-generated.

A new dynamic programming algorithm, Branch-Width Minimization* (BWM*), efficiently finds optimal protein designs by considering multiple conformations. This method outperforms existing algorithms like A* by predicting performance and enabling faster, more accurate protein design.

Keywords:
OSPREYbranch-decompositiondynamic programmingensemble-based algorithmsprotein designprovable algorithmssparse residue interaction graphs

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Area of Science:

  • Computational biology
  • Bioinformatics
  • Protein engineering

Background:

  • Protein design algorithms often use simplified energy functions for computational efficiency, potentially overlooking optimal sequences.
  • Existing dynamic programming methods focus on the globally minimal energy conformation (GMEC), neglecting sequences with multiple low-energy states.
  • Provable ensemble-based algorithms like A* exist but lack guaranteed performance improvements over exhaustive search.

Purpose of the Study:

  • To introduce a novel, provable dynamic programming algorithm, Branch-Width Minimization* (BWM*), for protein design.
  • To enable the enumeration of a gap-free ensemble of protein conformations in increasing order of energy.
  • To develop a predictive measure for algorithm efficiency in protein design problems.

Main Methods:

  • Developed Branch-Width Minimization* (BWM*), a dynamic programming algorithm utilizing branch-decomposition.
  • Introduced Total Effective Search Space (TESS) as a computable a priori measure of problem complexity.
  • Applied BWM* to 67 protein design problems to evaluate its performance against A*.

Main Results:

  • BWM* efficiently enumerates protein conformations, with initial GMEC computation in O([Formula: see text]) and subsequent conformations in O([Formula: see text]).
  • TESS accurately predicted BWM*-efficient versus A*-efficient cases with 100% accuracy.
  • BWM* outperformed A* in 73% of tested cases, offering faster ensemble computation and predictable performance.

Conclusions:

  • BWM* provides a provable and efficient method for protein design, overcoming limitations of existing algorithms.
  • The TESS measure allows for informed selection of the most efficient algorithm (BWM* or A*) for specific protein design challenges.
  • BWM* enhances the ability of protein designers to discover optimal sequences by efficiently exploring conformational ensembles.