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1 Department of Mathematical Physics and Astronomy, Gent University, 9000 Gent, Belgium; 2 Department of Physiology, Academic Medical Center, University of Amsterdam, 1105 AZ Amsterdam; and Department of Medical Physiology, University Medical Center Utrecht, 3584 CG Utrecht; 3 Institute for Theoretical Biology, Humboldt University, 10115 Berlin, Germany; and 4 Department of Theoretical Biology, Utrecht University, 3584 CG Utrecht, The Netherlands
Recent experimental and theoretical results have stressed the importance of modeling studies of reentrant arrhythmias in cardiac tissue and at the whole heart level. We introduce a six-variable model obtained by a reformulation of the Priebe-Beuckelmann model of a single human ventricular cell. The reformulated model is 4.9 times faster for numerical computations and it is more stable than the original model. It retains the action potential shape at various frequencies, restitution of action potential duration, and restitution of conduction velocity. We were able to reproduce the main properties of epicardial, endocardial, and M cells by modifying selected ionic currents. We performed a simulation study of spiral wave behavior in a two-dimensional sheet of human ventricular tissue and showed that spiral waves have a frequency of 3.3 Hz and a linear core of ~50-mm diameter that rotates with an average frequency of 0.62 rad/s. Simulation results agreed with experimental data. In conclusion, the proposed model is suitable for efficient and accurate studies of reentrant phenomena in human ventricular tissue.
action potential; computer simulation; mathematical model; reentrant arrhythmia; spiral wave
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