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Am J Physiol Heart Circ Physiol (January 29, 2004). doi:10.1152/ajpheart.00747.2003
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Submitted on August 6, 2003
Accepted on January 22, 2004

Suppression of Alternans and Conduction Blocks Despite Steep APD Restitution: Electrotonic, Memory and Conduction Velocity Restitution Effects

Elizabeth M. Cherry1 and Flavio H. Fenton2*

1 Physics Department, Hofstra University, Hempstead, NY, USA
2 Physics Department, Hofstra University, Hempstead, NY, USA; The Heart Institute, Beth Israel Medical Center, New York, NY, USA

* To whom correspondence should be addressed. E-mail: fenton{at}presto.physics.neu.edu.

In this paper, we examine the utility of the action potential duration (APD) restitution curve slope in predicting the onset of electrical alternans when electrotonic and memory effects are considered. We develop and use two ionic cell models without memory that have the same restitution curve with slope greater than one but different action potential shapes, and therefore different electrotonic effects. We also study a third cell model that incorporates short-term memory of previous cycle lengths, so that it has a family of S1- S2 restitution curves as well as a dynamic restitution curve whose slope is greater than one. Our results indicate that both electrotonic and memory effects can suppress alternans even when the APD restitution curve is steep. In the absence of memory, electrotonic currents related to the shape of the action potential as well as conduction velocity (CV) restitution can affect how alternans develops in tissue and in some cases can prevent its induction entirely even when isolated cells exhibit alternans. When short-term memory is included, alternans may not occur in isolated cells despite a steep APD restitution curve, and may or may not occur in tissue depending on CV restitution. We show for the first time that electrotonic and memory effects can prevent conduction blocks and stabilize reentrant waves in 2D and 3D. Thus, we find that the slope of the APD restitution curve alone does not always well predict the onset of alternans, and incorporating electrotonic and memory effects may provide a more useful alternans criterion.




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