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Graph theoretical similarity approach to compare molecular electrostatic potentials.

Ray M Marín1, Nestor F Aguirre, Edgar E Daza

  • 1Grupo de Química Teórica, Universidad Nacional de Colombia, BogotA D. C., Colombia.

Journal of Chemical Information and Modeling
|January 2, 2008
PubMed
Summary

This study presents a novel graph theory approach to compare molecular electrostatic potentials (MEPs) independent of alignment. This method successfully classifies molecules and reveals structure-activity relationships for steroid binding affinity.

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Area of Science:

  • Computational Chemistry
  • Cheminformatics
  • Graph Theory

Background:

  • Molecular electrostatic potentials (MEPs) are crucial for understanding molecular interactions.
  • Comparing MEPs typically requires molecular alignment, limiting applicability.
  • Existing quantitative structure-activity relationship (QSAR) methods have limitations.

Purpose of the Study:

  • To introduce a novel graph theoretical method for comparing MEPs.
  • To develop an alignment-independent approach for MEP analysis.
  • To establish structure-activity relationships (SAR) for molecular properties.

Main Methods:

  • Utilized edit distance of weighted rooted trees to encode MEP information.
  • Developed a graph theoretical framework for MEP comparison.
  • Applied hierarchical clustering and partial least-squares analysis for SAR.

Main Results:

  • Achieved a meaningful chemical classification of 46 diverse molecules.
  • Established clear partitioning of steroid activity (high, intermediate, low) for corticosteroid binding globulin (CBG) affinity.
  • Demonstrated comparable or superior cross-validated correlation coefficients compared to existing MEP-based QSAR methods.

Conclusions:

  • The proposed graph theoretical method offers an alignment-independent way to compare MEPs.
  • This approach effectively captures molecular geometry and topology for classification and SAR studies.
  • The method shows promise for advancing computational drug design and chemical informatics.