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Numerical experiments in a modified Beeler-Reuter cable model: Initiating fast (Na) and slow (Ca) waves

Publication ,  Journal Article
Romashko, DN; Starmer, CF
Published in: Chaos, Solitons and Fractals
January 1, 1995

We have modified the Beeler-Reuter model of cardiac muscle cells to account for the action of catecholamines. This model reveals the ability for slowly propagating calcium waves to coexist with the normal rapidly propagating wavefront associated with sodium activation. Either slowly propagating calcium waves or rapidly propagating sodium waves may be selectively invoked by changing the slope of a 'ramp' stimulus pulse. Rapid changes in stimulus potential evoke fast sodium wavefronts while stimulation with a gradual ramp with a rate of change adequate to inactivate sodium channels will initiate a slowly propagating calcium wavefront. Possible mechanisms for transitions between fast- and slow-propagating wavefronts are considered. Transition between calcium and sodium wavefronts may result in chaotic medium dynamics. © 1995.

Duke Scholars

Published In

Chaos, Solitons and Fractals

DOI

ISSN

0960-0779

Publication Date

January 1, 1995

Volume

5

Issue

3-4

Start / End Page

417 / 424

Related Subject Headings

  • Mathematical Physics
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences
  • 01 Mathematical Sciences
 

Citation

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MLA
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Romashko, D. N., & Starmer, C. F. (1995). Numerical experiments in a modified Beeler-Reuter cable model: Initiating fast (Na) and slow (Ca) waves. Chaos, Solitons and Fractals, 5(3–4), 417–424. https://doi.org/10.1016/0960-0779(93)E0033-8
Romashko, D. N., and C. F. Starmer. “Numerical experiments in a modified Beeler-Reuter cable model: Initiating fast (Na) and slow (Ca) waves.” Chaos, Solitons and Fractals 5, no. 3–4 (January 1, 1995): 417–24. https://doi.org/10.1016/0960-0779(93)E0033-8.
Romashko DN, Starmer CF. Numerical experiments in a modified Beeler-Reuter cable model: Initiating fast (Na) and slow (Ca) waves. Chaos, Solitons and Fractals. 1995 Jan 1;5(3–4):417–24.
Romashko, D. N., and C. F. Starmer. “Numerical experiments in a modified Beeler-Reuter cable model: Initiating fast (Na) and slow (Ca) waves.” Chaos, Solitons and Fractals, vol. 5, no. 3–4, Jan. 1995, pp. 417–24. Scopus, doi:10.1016/0960-0779(93)E0033-8.
Romashko DN, Starmer CF. Numerical experiments in a modified Beeler-Reuter cable model: Initiating fast (Na) and slow (Ca) waves. Chaos, Solitons and Fractals. 1995 Jan 1;5(3–4):417–424.
Journal cover image

Published In

Chaos, Solitons and Fractals

DOI

ISSN

0960-0779

Publication Date

January 1, 1995

Volume

5

Issue

3-4

Start / End Page

417 / 424

Related Subject Headings

  • Mathematical Physics
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences
  • 01 Mathematical Sciences