噪声对人房颤随机二维数学模型中螺旋波不稳定性的影响
Impact of noise on the instability of spiral waves in stochastic 2D mathematical models of human atrial fibrillation
AI总结：
本研究通过随机二维人房颤模型发现，高斯白噪声在均匀组织中可致螺旋波失稳，但局部瘢痕或纤维化能稳定转子，提示其潜在保护作用。
摘要：
持续性螺旋波，也称为转子，是持续性心房颤动（AF）的关键机制。在心脏等非线性生物系统中，随机性是不可避免的；然而，噪声如何影响人AF中螺旋波的不稳定性尚不清楚。本研究提出了一个人AF的随机二维数学模型，并探讨了高斯白噪声如何影响螺旋波的不稳定性。在均匀组织模型中，高斯白噪声可能导致螺旋波漫游和波前破碎。随着噪声强度的增加，相位奇点（PS）点的空间分散性增加。这一发现表明，心脏系统随机性通过使转子失稳而具有潜在的AF保护作用。相比之下，在存在局部瘢痕或纤维化区域的情况下，高斯白噪声不太可能影响螺旋波的不稳定性。PS点位于瘢痕/纤维化区域的边界或内部。局部瘢痕或纤维化可能在稳定螺旋波方面发挥关键作用，无论是否存在噪声。本研究表明，纤维化和瘢痕对于在AF随机数学模型中稳定转子至关重要。需要进一步基于患者来源的真实建模研究来确认瘢痕/纤维化在AF病理生理学中的作用。
英文摘要：
Sustained spiral waves, also known as rotors, are pivotal mechanisms in persistent atrial fibrillation (AF). Stochasticity is inevitable in nonlinear biological systems such as the heart; however, it is unclear how noise affects the instability of spiral waves in human AF. This study presents a stochastic two-dimensional mathematical model of human AF and explores how Gaussian white noise affects the instability of spiral waves. In homogeneous tissue models, Gaussian white noise may lead to spiral-wave meandering and wavefront break-up. As the noise intensity increases, the spatial dispersion of phase singularity (PS) points increases. This finding indicates the potential AF-protective effects of cardiac system stochasticity by destabilizing the rotors. By contrast, Gaussian white noise is unlikely to affect the spiral-wave instability in the presence of localized scar or fibrosis regions. The PS points are located at the boundary or inside the scar/fibrosis regions. Localized scar or fibrosis may play a pivotal role in stabilizing spiral waves regardless of the presence of noise. This study suggests that fibrosis and scars are essential for stabilizing the rotors in stochastic mathematical models of AF. Further patient-derived realistic modeling studies are required to confirm the role of scar/fibrosis in AF pathophysiology.
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