Olmos Daniel, Shizgal Bernie D
Institute of Applied Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Mar;77(3 Pt 1):031918. doi: 10.1103/PhysRevE.77.031918. Epub 2008 Mar 21.
We employ a reaction diffusion equation with local dynamics specified by the Beeler-Reuter model to study the meandering of spiral waves. With the appropriate choice for the conductances of sodium and calcium channels, the trajectory of the tip of a spiral wave lies on a straight line. The phenomenon of annihilation or reflection of a spiral at the boundaries of the domain is studied. This phenomenon is analyzed in terms of the variable j , which controls the reactivation of the sodium channel in the Beeler-Reuter model. The results presented can have potential applications in the study of cardiac arrhythmias by providing insight on the interaction between spiral waves and obstacles in the heart.
我们采用一个反应扩散方程，其局部动力学由比勒-罗伊特模型指定，以研究螺旋波的蜿蜒。通过对钠通道和钙通道电导的适当选择，螺旋波尖端的轨迹位于一条直线上。研究了螺旋波在域边界处的湮灭或反射现象。根据变量j对这一现象进行了分析，变量j在比勒-罗伊特模型中控制钠通道的再激活。所呈现的结果通过深入了解心脏中螺旋波与障碍物之间的相互作用，可能在心律失常研究中具有潜在应用。
