...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >Drift and breakup of spiral waves in reaction- diffusion-mechanics systems
【24h】

Drift and breakup of spiral waves in reaction- diffusion-mechanics systems

机译：反应-扩散-力学系统中螺旋波的漂移和破裂

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Rotating spiral waves organize excitation in various biological, physical, and chemical systems. They underpin a variety of important phenomena, such as cardiac arrhythmias, morphogenesis processes, and spatial patterns in chemical reactions. Important insights into spiral wave dynamics have been obtained from theoretical studies of the reaction-diffusion (RD) partial differential equations. However, most of these studies have ignored the fact that spiral wave rotation is often accompanied by substantial deformations of the medium. Here, we show that joint consideration of the RD equations with the equations of continuum mechanics for tissue deformations (RD-mechanics systems), yield important effects on spiral wave dynamics. We show that deformation can induce the breakup of spiral waves into complex spatiotemporal patterns. We also show that mechanics leads to spiral wave drift throughout the medium approaching dynamical attractors, which are determined by the parameters of the model and the size of the medium. We study mechanisms of these effects and discuss their applicability to the theory of cardiac arrhythmias. Overall, we demonstrate the importance of RD-mechanics systems for mathematics applied to life sciences.
机译：旋转的螺旋波在各种生物，物理和化学系统中组织激发。它们支持各种重要现象，例如心律不齐，形态发生过程以及化学反应中的空间格局。通过对反应扩散（RD）偏微分方程的理论研究，获得了对螺旋波动力学的重要见解。但是，大多数这些研究都忽略了螺旋波旋转经常伴有介质大量变形这一事实。在这里，我们表明，将RD方程与连续体力学方程用于组织变形（RD力学系统）共同考虑，会对螺旋波动力学产生重要影响。我们表明，变形可以诱导螺旋波分解成复杂的时空模式。我们还表明，力学会导致整个介质中的螺旋波漂移接近动态吸引子，这取决于模型的参数和介质的大小。我们研究这些作用的机制，并讨论它们在心律不齐理论中的适用性。总体而言，我们证明了RD力学系统对于应用于生命科学的数学的重要性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号