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Updated: May 1, 2026

A Protocol for Real-time 3D Single Particle Tracking
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Extending particle tracking capability with Delaunay triangulation.

Kejia Chen1, Stephen M Anthony, Steve Granick

  • 1Departments of Chemical and Biomolecular Engineering, ‡Materials Science and Engineering, §Chemistry, and ∥Physics, University of Illinois , Urbana, Illinois 61801, United States.

Langmuir : the ACS Journal of Surfaces and Colloids
|April 17, 2014
PubMed
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Delaunay triangulation enhances particle tracking for complex molecular dynamics. This method improves tracking of irregularly shaped objects and missing frames, aiding actin and DNA conformation analysis.

Area of Science:

  • Biophysics
  • Computational Biology
  • Image Analysis

Background:

  • Particle tracking is crucial for analyzing microscopic image time series.
  • Current methods struggle with irregularly shaped objects and incomplete trajectories.
  • Resolving molecular conformation and dynamics requires advanced tracking techniques.

Purpose of the Study:

  • To introduce Delaunay triangulation as an advanced particle tracking method.
  • To demonstrate its utility in analyzing molecular conformations and dynamics.
  • To provide a computationally efficient and easily implementable solution.

Main Methods:

  • Utilizing Delaunay triangulation for particle tracking.
  • Discriminating irregularly shaped objects beyond point features.

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  • Integrating temporal and spatial data to connect missing trajectory frames.
  • Identifying the shape backbone of tracked entities.
  • Applying edge removal techniques to address object proximity limitations.

    • Main Results:

    • Successfully tracked time-dependent molecular conformations of actin filaments and λ-DNA.
    • Demonstrated improved resolution of object shape and dynamics.
    • Showcased the method's ability to handle irregularly shaped particles.
    • Validated the efficacy of edge removal for close-proximity object separation.

    Conclusions:

    • Delaunay triangulation significantly extends particle tracking capabilities for complex biological systems.
    • The method offers robust and efficient analysis of large datasets.
    • It provides a valuable tool for researchers studying molecular dynamics and conformation.