Mathematical Sciences: Wave Propagation in Excitable Media

数学科学：可激励介质中的波传播

• 批准号: 9113526
• 负责人: Jack Dockery
• 金额: $ 4.43万
• 依托单位: Montana State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-06-01 至 1994-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9113526&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Wave; Propagation; Excitable

The investigator studies two models for the cardiac conduction system. In connection with these models he investigates the existence of travelling wave solutions and studies the stability and bifurcations of the waves. He seeks a simplified version of the Beeler-Reuter model for mammalian ventricular fibers that retains qualitative significance while provoking analytical insight, and plans comparisons between the full and the simplified model. Both analytical and computational tools will be employed in the project. Mathematical models such as these have been useful in studying the behavior of the heart. The research of this project may contribute to better understanding of heart electrodynamics and heartbeat abnormalities.

研究人员研究了两种心脏模型， 传导系统 在这些模型中，他 研究行波解的存在性， 研究了波的稳定性和分叉。 他在找一个 哺乳动物Beeler-Schmidt模型的简化版本 心室纤维保留定性意义， 激发分析洞察力，并计划比较 完整和简化模型。 分析和计算 工具将用于该项目。 像这样的数学模型在 研究心脏的行为。 本课题的研究 可能有助于更好地理解心脏电动力学 和心跳异常