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Initiation of re-entry in an excitable medium: Structural investigation of cardiac tissue using a genetic algorithm
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10.1063/1.2222238
/content/aip/journal/chaos/16/3/10.1063/1.2222238
http://aip.metastore.ingenta.com/content/aip/journal/chaos/16/3/10.1063/1.2222238
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Plots of (arbitrary units) against time (time steps) for each pacing interval for a single isolated site.

Image of FIG. 2.
FIG. 2.

An outline flowchart of the GA procedure.

Image of FIG. 3.
FIG. 3.

Plot of average number of abnormal sites against generation for each geometry, assuming purely random development of abnormal sites with a 5% mutation rate.

Image of FIG. 4.
FIG. 4.

Trends from GA runs with the normal geometry and diffusive abnormal sites. First column: plots of duration against generation; second column: plots of number of abnormal sites against generation; third column: plots of number of abnormal sites against duration. Values on the left-hand side give pacing intervals in time steps.

Image of FIG. 5.
FIG. 5.

Snapshots at 200 time-step intervals of the voltage distribution for a re-entrant tissue sample with the normal geometry, diffusive abnormal sites, and a 500 time-step pacing interval. The time series starts in the top-left corner and continues right and down. Pacing takes place at the left-hand edge, and the direction of propagation is indicated by the arrow in the first image.

Image of FIG. 6.
FIG. 6.

Plot of percentage of re-entrant structures produced against concentration of diffusive abnormal cells with random configurations of such cells, our critical density run (CD run). All structures had normal geometry and stimulated with 500 time-step pacing interval. Equivalent data points for the matching GA are also shown (GA run).

Image of FIG. 7.
FIG. 7.

Trends from GA runs with the side geometry and diffusive abnormal sites. First column: plots of duration against generation; second column: plots of number of abnormal sites against generation; third column: plots of number of abnormal sites against duration. Values on the left-hand side give pacing intervals in time steps, and re-entrant structures are not shown.

Image of FIG. 8.
FIG. 8.

Snapshots at 200 time-step intervals of the voltage distribution for a re-entrant tissue sample with the side geometry, diffusive abnormal sites, and a 500 time-step pacing interval. The time series starts in the top-left corner and continues right and down. Pacing takes place at the left-hand edge, and the direction of propagation is indicated by the arrow in the first and final image.

Image of FIG. 9.
FIG. 9.

Trends from GA runs with the box geometry and diffusive abnormal sites. First column: plots of duration against generation; second column: plots of number of abnormal sites against generation; third column: plots of number of abnormal sites against duration. Values on the left-hand side give pacing intervals in time steps, and re-entrant structures are not shown.

Image of FIG. 10.
FIG. 10.

Snapshots at 200 time-step intervals of the voltage distribution for a re-entrant tissue sample with the box geometry, diffusive abnormal sites, and a 500 time-step pacing interval. The time series starts in the top-left corner and continues right and down. Pacing takes place at the left-hand edge, and the direction of propagation is indicated by the arrow in the first and final image.

Image of FIG. 11.
FIG. 11.

Plot of percentage of re-entrant structures produced against percentage of mutable cells being zero-flux sites, with random configurations of such cells in each of the geometries. Pacing intervals shown in the legends in time steps.

Image of FIG. 12.
FIG. 12.

Trends from some of the non-GA runs with the normal geometry and diffusive abnormal sites. First column: plots of duration against generation; second column: plots of number of abnormal sites against duration. Values on the left-hand side give pacing intervals in time steps, and re-entrant structures are not shown.

Image of FIG. 13.
FIG. 13.

Trends from some of the non-GA runs with the side geometry and diffusive abnormal sites. First column: plots of duration against generation; second column: plots of number of abnormal sites against duration. Values on the left-hand side give pacing intervals in time steps, and re-entrant structures are not shown.

Image of FIG. 14.
FIG. 14.

Trends from some of the non-GA runs with the box geometry and diffusive abnormal sites. First column: plots of duration against generation; second column: plots of number of abnormal sites against duration. Values on the left-hand side give pacing intervals in time steps, and re-entrant structures are not shown.

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/content/aip/journal/chaos/16/3/10.1063/1.2222238
2006-08-30
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Initiation of re-entry in an excitable medium: Structural investigation of cardiac tissue using a genetic algorithm
http://aip.metastore.ingenta.com/content/aip/journal/chaos/16/3/10.1063/1.2222238
10.1063/1.2222238
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