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Vulnerability in excitable Belousov-Zhabotinsky medium: from 1D to 2D

Publication ,  Journal Article
Gómez-Gesteria, M; Fernández-García, G; Muñuzuri, AP; Pérez-Muñuzuri, V; Krinsky, VI; Starmer, CF; Pérez-Villar, V
Published in: Physica D: Nonlinear Phenomena
September 15, 1994

Mechanisms for initiating rotating waves in 1D and 2D excitable media were compared and parameters affecting wavefront formation were analyzed. The time delay between two sequentially initiated wavefronts (a conditioning wave followed by a test wave) was varied in order to induce rotating waves, a protocol similar to that utilized in cardiac muscle experiments to reveal vulnerability to rotating wave initiation. We define the vulnerability region, VR, as the range of time delays between conditioning and test waves where the test waves evolves into a rotating wave. The smaller the VR, the more resistant the heart is against origination of dangerous cardiac arrhythmias. Heterogeneity of cardiac muscle is widely recognized as the prerequisite for rotating wave initiation. We have identified the VR in homogeneous 2D excitable media. In the Belousov-Zhabotinsky (BZ) reaction with immobilized catalyst and in the Oregonator model of this reaction, a properly timed test wave gives rise to rotating waves. The VR was increased when the size of the perturbation used for test wave creation was increased or when the threshold for propagation was decreased. Increasing the dimensionality of the medium for 1D to 2D results in diminishing of VR. © 1994.

Duke Scholars

Published In

Physica D: Nonlinear Phenomena

DOI

ISSN

0167-2789

Publication Date

September 15, 1994

Volume

76

Issue

4

Start / End Page

359 / 368

Related Subject Headings

  • Fluids & Plasmas
  • 4903 Numerical and computational mathematics
  • 4902 Mathematical physics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

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Gómez-Gesteria, M., Fernández-García, G., Muñuzuri, A. P., Pérez-Muñuzuri, V., Krinsky, V. I., Starmer, C. F., & Pérez-Villar, V. (1994). Vulnerability in excitable Belousov-Zhabotinsky medium: from 1D to 2D. Physica D: Nonlinear Phenomena, 76(4), 359–368. https://doi.org/10.1016/0167-2789(94)90044-2
Gómez-Gesteria, M., G. Fernández-García, A. P. Muñuzuri, V. Pérez-Muñuzuri, V. I. Krinsky, C. F. Starmer, and V. Pérez-Villar. “Vulnerability in excitable Belousov-Zhabotinsky medium: from 1D to 2D.” Physica D: Nonlinear Phenomena 76, no. 4 (September 15, 1994): 359–68. https://doi.org/10.1016/0167-2789(94)90044-2.
Gómez-Gesteria M, Fernández-García G, Muñuzuri AP, Pérez-Muñuzuri V, Krinsky VI, Starmer CF, et al. Vulnerability in excitable Belousov-Zhabotinsky medium: from 1D to 2D. Physica D: Nonlinear Phenomena. 1994 Sep 15;76(4):359–68.
Gómez-Gesteria, M., et al. “Vulnerability in excitable Belousov-Zhabotinsky medium: from 1D to 2D.” Physica D: Nonlinear Phenomena, vol. 76, no. 4, Sept. 1994, pp. 359–68. Scopus, doi:10.1016/0167-2789(94)90044-2.
Gómez-Gesteria M, Fernández-García G, Muñuzuri AP, Pérez-Muñuzuri V, Krinsky VI, Starmer CF, Pérez-Villar V. Vulnerability in excitable Belousov-Zhabotinsky medium: from 1D to 2D. Physica D: Nonlinear Phenomena. 1994 Sep 15;76(4):359–368.
Journal cover image

Published In

Physica D: Nonlinear Phenomena

DOI

ISSN

0167-2789

Publication Date

September 15, 1994

Volume

76

Issue

4

Start / End Page

359 / 368

Related Subject Headings

  • Fluids & Plasmas
  • 4903 Numerical and computational mathematics
  • 4902 Mathematical physics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics