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Geometrical comparison of two protein structures using Wigner-D functions.

S M Saberi Fathi1, Diana T White, Jack A Tuszynski

  • 1Department of Physics, Ferdowsi University of Mashhad, Mashhad, Iran.

Proteins
|July 22, 2014
PubMed
Summary

This study introduces a novel quantitative method to compare protein structures, even those with varying atom counts. The new "similarity value" offers a robust way to assess protein structural relationships.

Keywords:
Fourier transformWigner-D functionscomputational methodscorrelation valueprotein classificationprotein structurereciprocal spaceroot-mean-square deviationsimilarity valuetubulin

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Area of Science:

  • Structural biology
  • Biophysics
  • Computational chemistry

Background:

  • Comparing protein structures is crucial for understanding function and evolution.
  • Existing methods often struggle with proteins of different sizes or complexities.

Purpose of the Study:

  • To develop a quantitative and versatile method for comparing arbitrary protein structures.
  • To introduce a new metric, the 'similarity value', for structural comparison.

Main Methods:

  • Utilizing root-mean-square deviation (RMSD) for structural characterization.
  • Employing a series expansion of the protein's shape function using Wigner-D functions.
  • Demonstrating that expansion coefficients relate to structure factors.

Main Results:

  • A novel 'similarity value' criterion for protein structure comparison was established.
  • The method effectively handles proteins with differing numbers of atoms.
  • Expansion coefficients were shown to correspond to structure factors.

Conclusions:

  • The Wigner-D function expansion provides a robust framework for quantitative protein structure comparison.
  • This method offers a solution for comparing proteins of varying sizes, advancing structural bioinformatics.