Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Russian Journal of Numerical Analysis and Mathematical Modelling

Editor-in-Chief: Dymnikov, Valentin P. / Kuznetsov, Yuri

Managing Editor: Vassilevski, Yuri V.

Editorial Board: Agoshkov, Valeri I. / Amosov, Andrey A. / Kaporin, Igor E. / Kobelkov, Georgy M. / Mikhailov, Gennady A. / Repin, Sergey I. / Shaidurov, Vladimir V. / Shokin, Yuri I. / Tyrtyshnikov, Eugene E.

6 Issues per year


IMPACT FACTOR 2017: 0.662

CiteScore 2017: 0.71

SCImago Journal Rank (SJR) 2017: 0.302
Source Normalized Impact per Paper (SNIP) 2017: 0.929

Mathematical Citation Quotient (MCQ) 2017: 0.13

Online
ISSN
1569-3988
See all formats and pricing
More options …
Volume 27, Issue 5

Issues

Action potential propagation and phase dynamics in the sinoatrial node

R. A. Syunyaev
  • Institute of Theoretical and Experimental Biophysics, Puschino, Moscow Region, 142292 Russia
  • Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow Region, 141700 Russia
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ R. R. Aliev
  • Institute of Theoretical and Experimental Biophysics, Puschino, Moscow Region, 142292 Russia
  • Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow Region, 141700 Russia
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2013-02-26 | DOI: https://doi.org/10.1515/rnam-2012-0028

Abstract

We have simulated a chain of sinoatrial pacemaker cells connected via gap junctions. To study the dynamics we introduce a phase of oscillations and show that Burgers equation is adequate to describe the phase dynamics in the sinoatrial node. We show that the propagating action potential bears properties of either trigger waves, or phase waves, which depends upon its wave number. We propose a definition of the safety factor that is applicable to the oscillatory tissue of the sinoatrial node and show that the maximum of the safety factor relates to the boundary case separating phase waves and trigger waves.

About the article

Published Online: 2013-02-26

Published in Print: 2012-10-01


Citation Information: Russian Journal of Numerical Analysis and Mathematical Modelling, Volume 27, Issue 5, Pages 493–506, ISSN (Online) 1569-3988, ISSN (Print) 0927-6467, DOI: https://doi.org/10.1515/rnam-2012-0028.

Export Citation

© 2013 by Walter de Gruyter GmbH & Co..Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Roman A. Syunyaev and Rubin R. Aliev
International Journal for Numerical Methods in Biomedical Engineering, 2017, Volume 33, Number 2, Page e02792

Comments (0)

Please log in or register to comment.
Log in