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  3. Multiscale Chiral Zeros In Biomolecules.
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Multiscale chiral zeros in biomolecules.

Neel Moudgal1,2, Jessica Ma2,3, Emine Sumeyra Turali Emre2,3,4

  • 1Department of Biophysics, University of Michigan, Ann Arbor, USA.

Communications Chemistry
|November 26, 2025

View abstract on PubMed

Summary
This summary is machine-generated.

The Osipov-Pickup-Dunmur (OPD) index has theoretical "chiral zeros," but we found them prevalent in biological molecules. This suggests OPD is unsuitable for quantifying molecular chirality, necessitating new mathematical methods.

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Area of Science:

  • Biochemistry
  • Structural Biology
  • Mathematical Chemistry

Background:

  • Chirality, or mirror asymmetry, is crucial for biomolecular interactions.
  • Quantifying molecular chirality accurately remains a challenge, limiting understanding of its biological roles.
  • Existing measures like the Osipov-Pickup-Dunmur (OPD) index and Hausdorff Chirality Measure (HCM) have limitations.

Purpose of the Study:

  • To investigate the prevalence and implications of theoretical
  • chiral zeros
  • in the Osipov-Pickup-Dunmur (OPD) index within biological systems.
  • To compare the effectiveness of the OPD index and the Hausdorff Chirality Measure (HCM) in quantifying molecular chirality.
  • To highlight the need for improved mathematical approaches for chirality assessment in complex biomolecules.

Main Methods:

  • Analysis of four diverse biological systems to represent various scales of chirality.
  • Evaluation of the Osipov-Pickup-Dunmur (OPD) index for its theoretical
  • chiral zero
  • phenomenon.
  • Comparison of OPD index results with the Hausdorff Chirality Measure (HCM).
  • Assessment of the correlation between chirality measures and biological properties.

Main Results:

  • The study found
  • chiral zeros
  • to be prevalent in the examined biological systems, contradicting theoretical expectations of rarity.
  • The Osipov-Pickup-Dunmur (OPD) index was deemed unsuitable for complex molecular structures, except for simple helicoids.
  • The Hausdorff Chirality Measure (HCM) showed a weak correlation with biological properties.
  • Significant differences were observed between OPD and HCM across various biological scales.

Conclusions:

  • The Osipov-Pickup-Dunmur (OPD) index is unreliable for quantifying the chirality of complex biomolecules due to prevalent
  • chiral zeros
  • .
  • Current chirality measures, including HCM, have limitations in reflecting biological significance.
  • There is a critical need for novel mathematical frameworks to accurately differentiate chiral structures, especially for AI and machine learning applications in structural biology.