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Chaos / Volume 21 / Issue 4 / REGULAR ARTICLES

Chaos 21, 043136 (2011); http://dx.doi.org/10.1063/1.3670060 (9 pages)

Eikonal-based initiation of fibrillatory activity in thin-walled cardiac propagation models

Antoine Herlin and Vincent Jacquemet

Institut de Génie Biomédical, Department of Physiology, Faculty of Medicine, Université de Montréal, Montréal, Canada and Centre de recherche, Hôpital du Sacré-Coeur de Montréal, 5400 Boul. Gouin Ouest, Montréal (Québec), Canada H4J 1C5

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(Received 3 August 2011; accepted 28 November 2011; published online 22 December 2011)

Reentrant arrhythmias can be simulated in electrophysiological models of electrical impulse propagation governed by a reaction-diffusion system. To facilitate the initiation of a large number of independent episodes of simulated arrhythmias with controllable level of complexity, a new approach is proposed for thin-walled geometries in which depolarization wave dynamics is essentially two-dimensional. Points representing phase singularities are first randomly distributed over the epicardial surface and are assigned a topological charge (direction of rotation). A qualitatively-correct phase map is then reconstructed on the whole surface by interpolation. The eikonal-diffusion equation is used to iteratively regularize the phase map based on a priori information on wavefront propagation. An initial condition for the reaction-diffusion model is created from the resulting phase map with multiple functional/anatomical reentries. Results in an atrial model demonstrate the ability to generate statistical realizations of the same dynamics and to vary the level of complexity measured by the number of phase singularities. A library of 100 simulations with an average number of phase singularities ranging from 1 to 10 is created. An extension to volumetric patient-specific atrial models including fiber orientation and a fast conducting system is presented to illustrate possible applications.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. METHODS
    1. Cardiac propagation model
    2. Identification of phase singularities
    3. Random distribution of phase singularities
    4. Phase field reconstruction
    5. Mapping from a geometry to another
    6. Initial condition for a monodomain model
    7. Test cases
  3. RESULTS
    1. Generation of phase maps
    2. Monodomain simulations
    3. Patient-specific geometries
    4. Simulations in more realistic models
  4. DISCUSSION AND CONCLUSIONS

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KEYWORDS and PACS

Keywords

computational complexity, diseases, electrocardiography, interpolation, medical signal processing, physiological models, statistical analysis

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3670060

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    Davidsen, J., Glass, L., and Kapral, R., Phys. Rev. E Stat. Nonlin. Soft. Matter. Phys. 70(5 Pt 2), 056203 (2004).

    Virag, N., Jacquemet, V., Henriquez, C. S., Zozor, S., Blanc, O., Vesin, J. M., Pruvot, E., and Kappenberger, L., Chaos 12(3), 754 (2002)CHAOEH000012000003000754000001.


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