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1 Department of Theoretical Biology, Utrecht University, Utrecht, Netherlands
* To whom correspondence should be addressed. E-mail: khwjtuss{at}hotmail.com.
Ventricular fibrillation is one of the main causes of death in the western world. According to one hypothesis, the chaotic excitation dynamics during VF are the result of dynamical instabilities in action potential duration which occurrence requires that the slope of the APD restitution curve exceeds one. Other factors such as electrotonic coupling and cardiac memory also determine whether these instabilities can develop. In this manuscript we study the conditions for alternans and spiral breakup in human cardiac tissue. Therefore, we develop a new version of our human ventricular cell model, which is based on recent experimental measurements of human APD restitution and includes a more extensive description of intracellular calcium dynamics. We apply this model to study the conditions for electrical instability in single cells, for reentrant waves in a ring of cells, and for reentry in 2D sheets of ventricular tissue. We show that an important determinant for the onset of instability is the recovery dynamics of the fast sodium current. Slower sodium current recovery leads to longer periods of spiral wave rotation and more gradual conduction velocity restitution, both of which suppress restitution mediated instability. As a result maximum restitution slopes considerably exceeding one (up to 1.5) may be necessary for electrical instability to occur. Although slopes necessary for the onset of instabilities found in our paper exceed one, they are within the range of experimentally measured slopes. Therefore, we conclude that steep APD restitution mediated instability is a potential mechanism for VF in the human heart.
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