Control of spiral dynamics by a voltage-dependent stimulation current
摘要
In cardiac tissues, the abnormal wave propagation, such as the formation of spiral waves, can lead to dangerous arrhythmias. Thus, it is of great significance to propose some effective ways to control the dynamics and positions of spiral waves. To avoid side effects, the low-intensity schemes are expected, and it is very important how to control spiral waves by low-intensity stimulation current in cardiac tissue models. In this paper, a voltage-dependent stimulation current is introduced into the Luo-Rudy model, and the dynamics and control of spiral waves are investigated via the model. Here, the stimulation current is a product of the voltage function and the time function with the form of a periodic pulse train, and various spiral wave phenotypes can be observed by changing the pulse intensity, the pulse duration and the train period. We show the application of the stimulation current may induce the full resonance drift of spiral waves as long as the three parameters satisfy a certain relationship, where the spiral core is directly moved to the boundary and eliminated by collisions with the boundary. It is illustrated that the direction of the full resonance drift can be controlled by adjusting the parameters, and its direction angle changes linearly with the pulse duration. When the train period is equal to the period of the unperturbed spiral wave and the value of the pulse duration is taken as half of the train period value, the pulse intensity required for the full resonance drift is minimal.The inward-petal and outward-petal tip trajectories are obtained when the parameter values deviate from the values for the full resonance, where the variety of the pulse intensity can change the attractor size, but does not change the primary path curvature period for outward-petal trajectories. When the train period is larger than twice the period of the unperturbed spiral wave, some complex spiral waves with novel tip trajectories can be obtained by selecting appropriate values of the three parameters. The finding may offer valuable insights into the potential application for defibrillation without the side effects.