Zhang Zhaoyang, Zhang Yuhao, Qu Zhilin
Department of Physics, School of Physical Science and Technology, Ningbo University, Ningbo, Zhejiang 315211, China.
Department of Medicine, David Geffen School of Medicine, University of California, Los Angeles, California 90095, USA.
Phys Rev E. 2023 Dec;108(6-1):064405. doi: 10.1103/PhysRevE.108.064405.
We show that a positive feedback loop between sodium current inactivation and wave-front ramp-up speed causes a saddle-node bifurcation to result in bistable planar and spiral waves in electrically excitable media, in which both slow and fast waves are triggered by different stimulation protocols. Moreover, the two types of spiral wave conduction may interact to give rise to more complex spiral wave dynamics. The transitions between different spiral wave behaviors via saddle-node bifurcation can be a candidate mechanism for transitions widely seen in cardiac arrhythmias and neural diseases.
我们表明，钠电流失活与波前上升速度之间的正反馈回路会导致鞍结分岔，从而在电可兴奋介质中产生双稳平面波和螺旋波，其中慢波和快波由不同的刺激方案触发。此外，两种类型的螺旋波传导可能相互作用，产生更复杂的螺旋波动力学。通过鞍结分岔在不同螺旋波行为之间的转变可能是在心律失常和神经疾病中广泛观察到的转变的一种候选机制。
