心脏老化和收缩对螺旋波动力学的影响研究

Effects of the aging and systole of heart on the dynamics of spiral wave

通过用Greenberg-Hasting元胞自动机模型的邻域半径和激发阈值的增大来模拟心脏老化,用邻域半径交替变化代替心脏收缩与舒张,数值模拟研究了心脏老化和有规律收缩对螺旋波动力学的影响.结果表明:心脏老化会导致螺旋波漫游和不能产生螺旋波,既可以使螺旋波波长缩短和螺旋波周期维持不变,也可以使螺旋波的波长变长和周期增大;在心脏老化和有规律收缩共同作用下,系统可出现不同形状的螺旋波斑图、螺旋波发生破碎和消失等现象,给出了心力衰竭、心颤、死亡的发生概率,这些结果与流行病相关调查结果基本符合.

In this paper, the effects of the aging and systole of heart on the dynamics of spiral wave are studied by using the Greenberg- Hasting cellular automaton model. In this model the neighbor radius and the excitation threshold are increased in order to simulate the aging of heart, and the neighbor radius is changed alternately to simulate heart systole and diastole. The results show that the aging of heart can induce some influences on spiral wave, such as make spiral wave meandering, and even cause spiral wave to disappear; in addition, it can shorten the wavelength and keep period fixed, and also elongate the wavelength and increase the period of spiral wave. If the aging and the regular systole of heart take place at the same time, we observe some phenomena, such as different spiral wave patterns, the spiral wave breakup and disappearance. We also obtain the probabilities of heart failure, ventricular fibrillation and death. These results are essentially consistent with the results of relevant epidemi＇olo^ical survev.