Nayak Alok R, Pandit Rahul
Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science Bangalore, India ; Robert Bosch Centre for Cyber Physical Systems, Indian Institute of Science Bangalore, India.
Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science Bangalore, India ; Jawaharlal Nehru Centre for Advanced Scientific Research Bangalore, India.
Front Physiol. 2014 Jun 10;5:207. doi: 10.3389/fphys.2014.00207. eCollection 2014.
We carry out an extensive numerical study of the dynamics of spiral waves of electrical activation, in the presence of periodic deformation (PD) in two-dimensional simulation domains, in the biophysically realistic mathematical models of human ventricular tissue due to (a) ten-Tusscher and Panfilov (the TP06 model) and (b) ten-Tusscher, Noble, Noble, and Panfilov (the TNNP04 model). We first consider simulations in cable-type domains, in which we calculate the conduction velocity θ and the wavelength λ of a plane wave; we show that PD leads to a periodic, spatial modulation of θ and a temporally periodic modulation of λ; both these modulations depend on the amplitude and frequency of the PD. We then examine three types of initial conditions for both TP06 and TNNP04 models and show that the imposition of PD leads to a rich variety of spatiotemporal patterns in the transmembrane potential including states with a single rotating spiral (RS) wave, a spiral-turbulence (ST) state with a single meandering spiral, an ST state with multiple broken spirals, and a state SA in which all spirals are absorbed at the boundaries of our simulation domain. We find, for both TP06 and TNNP04 models, that spiral-wave dynamics depends sensitively on the amplitude and frequency of PD and the initial condition. We examine how these different types of spiral-wave states can be eliminated in the presence of PD by the application of low-amplitude pulses by square- and rectangular-mesh suppression techniques. We suggest specific experiments that can test the results of our simulations.
我们在二维模拟域中存在周期性变形（PD）的情况下，对人体心室组织的生物物理现实数学模型，即（a）ten-Tusscher和Panfilov模型（TP06模型）以及（b）ten-Tusscher、Noble、Noble和Panfilov模型（TNNP04模型）中的电激活螺旋波动力学进行了广泛的数值研究。我们首先考虑在电缆型域中的模拟，在其中计算平面波的传导速度θ和波长λ；我们表明PD会导致θ的周期性空间调制和λ的时间周期性调制；这两种调制都取决于PD的幅度和频率。然后，我们针对TP06和TNNP04模型研究了三种类型的初始条件，并表明施加PD会导致跨膜电位出现丰富多样的时空模式，包括具有单个旋转螺旋（RS）波的状态、具有单个蜿蜒螺旋的螺旋湍流（ST）状态、具有多个破碎螺旋的ST状态以及所有螺旋在我们模拟域边界被吸收的状态SA。我们发现，对于TP06和TNNP04模型，螺旋波动力学敏感地取决于PD的幅度和频率以及初始条件。我们研究了如何通过方形和矩形网格抑制技术施加低幅度脉冲来在存在PD的情况下消除这些不同类型的螺旋波状态。我们提出了可以检验我们模拟结果的具体实验。
