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Electrical potentials on the heart and body surfaces during cooling 11/23/1999

The left panels are potential distributions in a control state on the heart (top) and body surfaces (bottom); The right panels are potentials during cooling. Notice that the current sink on the right of the heart surface during cooling was not revealed on the body surface potentials.

Thoracic current pathways during cooling show currents flow into the above mentioned current sink.

Structure of the FEM global stiffness matrix 11/15/1999

Nonzeros of a FEM global stiffness matrix. The matrix is a result from the FEM solution of the forward problem in electrocardiology, which is to compute the electrical potential fields in the volume conductor in the thorax.

Single values of the above global stiffness matrix.

Electrical current fields in the thorax 10/1/1999

Electric current pathways during an intramural stimulation in the left ventricle. Electric potentials were measured from the epicardial surface. These measurements provided boundary conditions for a finite element solution of the forward problem in electrocardiography, which gave electric potential distribution theoughout the thorax, the volume conductor. Then electric currents were computed from potential gradients, the integral of which are shown as the streamtube in this figure as the electric current pathways.

Three dimensional potential fields in the heart 9/1/1999

Electric potentials from a intramural stimulation in the left ventricle. Potentials were measured with intramural needle electrods at 560 locations in a slab of myocardium. They were then interpolated to 3000+ locations, shown on small dots, using WEB interpolation. This figure shows potentials at 20 ms after stimulation. Left panels shows iso-potential surfaces, red at +3 mV, and green at -10 mV; right panel shows potentials on a cutting plane.

Visualization of Simulated Excitation Wave Using MATLAB Volume Visualization Beta. 8/24/1999

This panel of figures show excitation wave and associated conduction velocity fields in the heart. I think MATLAB has done an excellent job in developing these volume visualization tools, especially for scalar field data such as excitation times. But note the difficulty in the vector field visualization such as the conduction velocity fields in the heart using the conventional streamline type of techniques. It is still very hard to grasp the feature of these fields from a fixed number of traces. I think an interactive feature of choosing seed locations of streamline will improve these funtions dramatically. In the mean time, 'streamslice' provides a nice overall picture of the field, which I liked very much.

Excitation Wave in the Ventricles. 8/22/1999

This group of figures show the impulse propagation in the left ventricle. Excitation times were obtained from a canine left ventricle at 560 intramural locations with electrodes mounted on 56 plunge needles ( see the experiment set up). We then represent the propagation based on an interpolation of the measured values using a radial function based technique. The interpolant is then evalued at 3000+ locations shown in these figures, which provide an overall and detailed description of the excitation wave.

Excitation wave initiated from the middle wall of the left ventricle. Panels from left to right contain wave front at 15, 20, 25, 30, 35, and 40 ms after the stimulation.

Excitation wave initiated from the epicardium of the left ventricle. Panels from left to right contain wave front at 10:5:50 ms after the stimulation.

Excitation wave initiated from the endocardium of the left ventricle. Panels from left to right contain wave front at 15:5:40 ms after the stimulation.