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GISA: using Gauss Integrals to identify rare conformations in protein structures.

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Summary

We developed GISA, a general method using knot theory to create protein structure fingerprints. This approach identifies unusual topological-geometric features, like knots and links, across all scales, aiding protein analysis.

Keywords:
Database scanFast algorithmGauss integralsGeometryKnots and linksProtein structure analysisRare conformationsSub-chainsTopology

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Area of Science:

  • Structural Bioinformatics
  • Biophysics
  • Computational Biology

Background:

  • Protein structure is crucial for function, driving research into structure determination methods.
  • Existing methods often lack sensitivity to complex topological-geometric features (e.g., knots, links).
  • Current approaches are typically limited to specific predefined topologies or geometries.

Purpose of the Study:

  • To introduce a general method for analyzing protein topological-geometric features.
  • To develop a computational tool (GISA) that generates a "fingerprint" of protein structures using knot theory descriptors.
  • To enable the identification of unusual or novel protein conformations on multiple scales.

Main Methods:

  • Developed the GISA algorithm to compute Gauss integrals (knot theory descriptors) for all protein sub-chains.
  • Generated topological-geometric "fingerprints" for protein structures.
  • Applied GISA to analyze thousands of high-resolution protein structures.

Main Results:

  • GISA successfully identified known topological features like pokes and links using the basic writhe descriptor.
  • Unrestricted analysis revealed previously undescribed entangled configurations and knotted conformations.
  • Identified 10 known knots and 14 cis-trans isomerases with a potentially overlooked spatial motif.

Conclusions:

  • GISA provides a general, scale-independent method for analyzing protein topology.
  • The tool can identify known and novel complex protein conformations, aiding in fold classification and error detection.
  • GISA offers significant potential benefits to the structural bioinformatics community.