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Detection of phase singularities in triangular meshes.

L J Rantner1, L Wieser, M C Stühlinger

  • 1Institute of Biomedical Engineering, University for Health Sciences, Medical Informatics and Technology, Eduard-Wallnöfer-Zentrum 1, 6060 Hall in Tirol, Austria. lukas.rantner@umit.at

Methods of Information in Medicine
|December 11, 2007
PubMed
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This study introduces a novel algorithm for precisely detecting phase singularities in triangular meshes, overcoming limitations of previous methods. This advancement enables accurate quantitative analysis of cardiac fibrillation dynamics.

Area of Science:

  • Computational electrophysiology
  • Cardiac electrophysiology modeling

Background:

  • Phase singularities are crucial markers for cardiac fibrillation.
  • Current detection algorithms are restricted to regular, quadratic mesh grids.

Purpose of the Study:

  • To present an algorithm for automatic and exact phase singularity detection in triangular meshes.
  • To overcome the limitations of existing methods for phase singularity detection.

Main Methods:

  • An oriented path is identified for each node with unit spatial discretization.
  • Phase information and topological charge are computed for all nodes at each time step.
  • Nodes with non-zero topological charge enclosing a phase singularity are clustered.

Main Results:

Related Experiment Videos

  • The developed algorithm detects phase singularities in triangular meshes with sub-millimeter accuracy (below 0.2 mm).
  • Detection accuracy is independent of the specific membrane kinetics used in the model.

Conclusions:

  • The algorithm allows for automatic and exact detection of phase singularities.
  • This facilitates the acquisition of critical quantitative data for studying cardiac fibrillation.