A model for measured traveling waves at end-diastole in human heart wall by ultrasonic imaging method

Naoaki Bekki, Seine A. Shintani, Shin'ichi Ishiwata, Hiroshi Kanai

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    We observe traveling waves, measured by the ultrasonic noninvasive imaging method, in a longitudinal beam direction from the apex to the base side on the interventricular septum (IVS) during the period from the end-diastole to the beginning of systole for a healthy human heart wall. We present a possible phenomenological model to explain part of one-dimensional cardiac behaviors for the observed traveling waves around the time of R-wave of echocardiography (ECG) in the human heart. Although the observed two-dimensional patterns of traveling waves are extremely complex and no one knows yet the exact solutions for the traveling homoclinic plane wave in the one-dimensional complex Ginzburg-Landau equation (CGLE), we numerically find that part of the one-dimensional homoclinic dynamics of the phase and amplitude patterns in the observed traveling waves is similar to that of the numerical homoclinic plane-wave solutions in the CGLE with periodic boundary condition in a certain parameter space. It is suggested that part of the cardiac dynamics of the traveling waves on the IVS can be qualitatively described by the CGLE model as a paradigm for understanding biophysical nonlinear phenomena.

    Original languageEnglish
    Article number044802
    JournalJournal of the Physical Society of Japan
    Issue number4
    Publication statusPublished - 2016 Apr 15


    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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