Nonlinear excited waves on the interventricular septum

Naoaki Bekki, Yoshifumi Harada, Hiroshi Kanai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

Using a novel ultrasonic noninvasive imaging method, we observe some phase singularities in propagating excited waves on a human cardiac interventricular septum (IVS) for a healthy young male. We present a possible physical model explaining one-dimensional dynamics of phase singularities in nonlinearly excited waves on the IVS. We show that at least one of the observed phase singularities in the excited waves on the IVS can be explained by the Bekki-Nozaki hole solution of the complex Ginzburg-Landau equation without any adjustable parameters. We conclude that the complex Ginzburg-Landau equation is such a suitable model for one-dimensional dynamics of cardiac phase singularities in nonlinearly excited waves on the IVS.

Original languageEnglish
Title of host publication9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
Pages96-105
Number of pages10
DOIs
Publication statusPublished - 2012
Event9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012 - Vienna, Austria
Duration: 2012 Jul 102012 Jul 14

Publication series

NameAIP Conference Proceedings
Volume1493
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
CountryAustria
CityVienna
Period12/7/1012/7/14

Keywords

  • Bekki-Nozaki hole
  • Excited waves
  • complex Ginzburg-Landau equation
  • phase singularity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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