Heart Excitation

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Rubin R. Aliev - One of the best experts on this subject based on the ideXlab platform.

  • Modeling of Heart Excitation Patterns caused by a Local Inhomogeneity
    1996
    Co-Authors: Rubin R. Aliev, Alexander V. Panfilov
    Abstract:

    We simulate wave propagation in the whole Heart containing a local inhomogeneity whose properties mimic some properties of cardiac tissue during the acute phase of infarction. The dynamics of cardiac tissue is described by a FitzHugh - Nagumo (FHN) model. We show that two or several short period stimulations of the Heart lead to the development of a 3D vortex ring, which is a temporal source of high frequency waves. The vortex ring is located near the boundary of the infarction and induces wave patterns which appear as several focal wave sources on the epicard and endocard. We have traced the filament of the vortex and show its dynamics. Continuous stimulation of the Heart at high frequency resulted in the Wenckebach effect

  • Modeling of Heart Excitation Patterns caused by a Local Inhomogeneity
    1996
    Co-Authors: Rubin R. Aliev, Er V. Panfilov
    Abstract:

    We simulate wave propagation in the whole Heart containing a local inhomogeneity whose properties mimic some properties of cardiac tissue during the acute phase of infarction. The dynamics of cardiac tissue is described by a FitzHugh–Nagumo (FHN) model. We show that two or several short-period stimulations of the Heart lead to the development of a three-dimensional vortex ring, which is a temporal source of high frequency waves. The vortex ring is located near the boundary of the infarction and induces wave patterns which appear as several focal wave sources on the epicard and endocard. We have traced the filament of the vortex and show its dynamics. Continuous stimulation of the Heart at high frequency resulted in the Wenckebach effect. � 1996 Academic Press Limited 1

Alexander V. Panfilov - One of the best experts on this subject based on the ideXlab platform.

  • Modeling of Heart Excitation Patterns caused by a Local Inhomogeneity
    1996
    Co-Authors: Rubin R. Aliev, Alexander V. Panfilov
    Abstract:

    We simulate wave propagation in the whole Heart containing a local inhomogeneity whose properties mimic some properties of cardiac tissue during the acute phase of infarction. The dynamics of cardiac tissue is described by a FitzHugh - Nagumo (FHN) model. We show that two or several short period stimulations of the Heart lead to the development of a 3D vortex ring, which is a temporal source of high frequency waves. The vortex ring is located near the boundary of the infarction and induces wave patterns which appear as several focal wave sources on the epicard and endocard. We have traced the filament of the vortex and show its dynamics. Continuous stimulation of the Heart at high frequency resulted in the Wenckebach effect

Er V. Panfilov - One of the best experts on this subject based on the ideXlab platform.

  • Modeling of Heart Excitation Patterns caused by a Local Inhomogeneity
    1996
    Co-Authors: Rubin R. Aliev, Er V. Panfilov
    Abstract:

    We simulate wave propagation in the whole Heart containing a local inhomogeneity whose properties mimic some properties of cardiac tissue during the acute phase of infarction. The dynamics of cardiac tissue is described by a FitzHugh–Nagumo (FHN) model. We show that two or several short-period stimulations of the Heart lead to the development of a three-dimensional vortex ring, which is a temporal source of high frequency waves. The vortex ring is located near the boundary of the infarction and induces wave patterns which appear as several focal wave sources on the epicard and endocard. We have traced the filament of the vortex and show its dynamics. Continuous stimulation of the Heart at high frequency resulted in the Wenckebach effect. � 1996 Academic Press Limited 1

Xin Zhang - One of the best experts on this subject based on the ideXlab platform.

  • noninvasive three dimensional activation time imaging of ventricular Excitation by means of a Heart Excitation model
    Physics in Medicine and Biology, 2002
    Co-Authors: Xin Zhang
    Abstract:

    We propose a new method for imaging activation time within three-dimensional (3D) myocardium by means of a Heart-Excitation model. The activation time is estimated from body surface electrocardiograms by minimizing multiple objective functions of the measured body surface potential maps (BSPMs) and the Heart-model-generated BSPMs. Computer simulation studies have been conducted to evaluate the proposed 3D myocardial activation time imaging approach. Single-site pacing at 24 sites throughout the ventricles, as well as dual-site pacing at 12 pairs of sites in the vicinity of atrio-ventricular ring, was performed. The present simulation results show that the average correlation coefficient (CC) and relative error (RE) for single-site pacing were 0.9992 ± 0.0008/0.9989 ± 0.0008 and 0.05 ± 0.02/0.07 ± 0.03, respectively, when 5 µV/10 µV Gaussian white noise (GWN) was added to the body surface potentials. The average CC and RE for dual-site pacing were 0.9975 ± 0.0037 and 0.08 ± 0.04, respectively, when 10 µV GWN was added to the body surface potentials. The present simulation results suggest the feasibility of noninvasive estimation of activation time throughout the ventricles from body surface potential measurement, and suggest that the proposed method may become an important alternative in imaging cardiac electrical activity noninvasively.

A M Denisov - One of the best experts on this subject based on the ideXlab platform.

  • a numerical method for determining a localized initial Excitation for some mathematical models of the Heart Excitation
    Mathematical Models and Computer Simulations, 2013
    Co-Authors: A M Denisov, I A Pavelchak
    Abstract:

    A numerical method for determining a localized initial Excitation for some mathematical models of Heart Excitation is considered. In the statement of the direct problem, the process of changing the field in two domains corresponding to the Heart and the torso is simulated. The alteration of the potential in the Heart is described by the FitzHugh-Nagumo or the Aliev-Panfilov model for domains in R2. The inverse problem consists in determining the coordinates of a localized initial Excitation in the Heart from the known values of the potential on the boundary of the torso. The results of numerical experiments are presented.

  • the inverse problem for mathematical models of Heart Excitation
    Computational Mathematics and Mathematical Physics, 2010
    Co-Authors: A M Denisov, V V Kalinin
    Abstract:

    The inverse problem for mathematical models of Heart Excitation is stated; this problem is to determine the initial condition in the initial-boundary value problem for an evolutionary system of partial differential equations given the volume potential whose density is determined by the solution to the evolutionary system. It is proved that the solution of the inverse problem in the generic statement is not unique.