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Am J Physiol Heart Circ Physiol (April 22, 2005). doi:10.1152/ajpheart.00252.2005
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Submitted on March 15, 2005
Accepted on April 15, 2005

Substrate size as a determinant of fibrillatory activity maintenance in a mathematical model of canine atrium

Renqiang Zou1, James Kneller2, Joshua L Leon3, and Stanley Nattel2*

1 Medicine, Research Center, University of Montreal, Montreal Heart Institute, Montreal, Quebec, Canada
2 Medicine, Research Center, University of Montreal, Montreal Heart Institute, Montreal, Quebec, Canada; Pharmacology and Therapeutics, McGill University, Montreal, Quebec, Canada
3 Electrical Engineering, University of Calgary, Calgary, Alberta, Canada

* To whom correspondence should be addressed. E-mail: stanley.nattel{at}icm-mhi.org.

Tissue size has been considered an important determinant of atrial fibrillation (AF), but recent work has questioned the critical size hypothesis. Here, we use a previously-developed mathematical model of two-dimensional canine atrium with realistic action potential, ionic and conduction properties to address substrate size effects on maintenance of fibrillatory activity. Cholinergic AF was simulated at different acetylcholine concentrations and distributions, with substrate area varied 11.1-fold. Automated phase-singularity detection was used to facilitate analysis of arrhythmic activity. The duration of activity induced by a single extrastimulus increased with increasing substrate dimensions. Two general mechanisms underlying activity were observed and were differentially affected by substrate size. For large mean acetylcholine-concentrations, single primary rotors anchored in low acetylcholine-concentration zones maintained activity and substrate dimensions were not critical. At lower mean-acetylcholine concentrations, extensive spiral-wave meander prevented the emergence of single stable rotors. Prolonged activity was favored when substrate size permitted a sufficiently large number of simultaneous longer-lasting rotors that extinction of all was unlikely. Thus, either single dominant-rotor or multiple reentrant spiral-generator mechanisms could maintain fibrillatory activity in this model, and were differentially dependent on substrate size. These results speak to recent debates about the role in AF of single driver rotors versus multiple reentrant circuit mechanisms, by suggesting that either may maintain fibrillatory atrial activity depending on atrial size and electrophysiological properties.




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