Mathematical Sciences: Mathematical Studies of Wave Propagation in Excitable Media

本项目研究波在可激发介质中的传播 特别强调两个具体系统，即 心脏传导系统和Belousov Zhabotinsky反应。 心脏传导方面的工作将包括对 两个模型的发病纤颤，一个基于 心脏细胞的各向异性耦合，另一个基于 心脏细胞恢复的不平衡。 调查将 还探讨了离散性对传播的影响， 不均匀性对可兴奋细胞同步性的影响。 的 Belousov Zhabotinsky反应的研究将集中在 螺旋波和涡卷波的动力学。 最后，调查 将包括对可激发介质中其他现象的研究， 驻波和呼吸波，以及它们与 行波

This project is to study wave propagation in excitable media with special emphasis on two specific systems, namely, the cardiac conduction system, and the Belousov Zhabotinsky reaction. Work on the cardiac conduction will include an investigation of two models for the onset of fibrillation, one based on the anisotropic coupling of cardiac cells, and the other based on disparity of recovery of cardiac cells. The investigation will also explore the effect of discreteness on propagation, and the effect of inhomogeneity on the synchrony of excitable cells. The investigation of Belousov Zhabotinsky reaction will center on the dynamics of spiral and scroll waves. Finally, the investigation will include the study of other phenomena in excitable media such as standing waves and breathers, and their relationship with traveling waves.