Mathematical Sciences: Waves in Excitable Media

本项目将研究波在一维、二维和三维可兴奋介质中的传播，重点是心脏传导系统和Belousov-Zhabotinski试剂。研究的重点是了解空间格局的动力学，特别是螺旋波和涡旋波的形成和演化。这项研究将包括建立描述波传播模式动力学的数学模型，对模型方程进行数学分析，并将数学结果与现有的实验证据进行比较。

This project will study propagation of waves in one, two, and three dimensional excitable media, with emphasis on the cardiac conduction system and Belousov-Zhabotinski reagent. The emphasis of the study is on understanding the dynamics of spatial patterns, especially the formation and evolution of spiral and scroll waves. The study will involve the construction of mathematical models describing the dynamics of patterns of propagating waves, the mathematical analysis of the model equations, and the comparison of the mathematical results with available experimental evidence.