Mathematical Sciences: Wave Propagation in Cardiac Tissue

基纳9626334研究人员开发并使用数学模型和工具来研究心脏组织的电激活。该项目的两个主要相互关联的重点是开发有用的数值算法来求解生理上真实区域上的模型方程，并使用分析和数值工具来研究正常波和重入波的动力学、它们的起始、随后的动力学和终止。特别强调发展快速、准确、隐式的数值方法来积分不规则三维区域上的非线性偏微分方程组。这项研究的总体目的是增加对危及生命的心律失常、其机制和可能的控制的基本了解。然而，要做到这一点，需要付出大量的努力来开发和改进数值算法，以便有效地使用高性能计算。

Keener 9626334 The investigator develops and uses mathematical models and tools to study the electrical activation of cardiac tissue. The two main interconnected emphases for this project are to develop useful numerical algorithms to solve model equations on physiologically realistic domains, and to use analytical and numerical tools to study the dynamics of normal and reentrant waves, their initiation, subsequent dynamics, and termination. Particular emphasis is placed on the development of fast, accurate, implicit numerical methods for integrating nonlinear partial differential equations on irregular three-dimensional domains. The overall purpose of this research is to increase the fundamental understanding of life-threatening cardiac arrhythmias, their mechanisms and possible control. To do so, however, requires a substantial effort to develop and improve the numerical algorithms for the efficient use of high performance computing.