Mathematical Sciences: Applications of Topology to Biology and Chemistry

数学科学：拓扑在生物学和化学中的应用

• 批准号: 8720006
• 负责人: De Witt Sumners
• 金额: $ 12.95万
• 依托单位: Florida State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-05-15 至 1992-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8720006&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Applications; Topology; Biology

This research is concerned with new applications of topology to molecular biology and chemistry, and consists of three projects. The first is knot theory and DNA, in which the analytical ability of knot theory and the precise new experimental techniques of molecular biology (gel electrophoresis and rec A enhanced electron microscopy) are combined to study enzyme mechanism and substrate configuration. The second is the topological modelling of rotating spiral wave phenomena in excitable media. The techniques of differential topology can be combined with the algebraic topology of knot theory to quantize these wave patterns, and to describe the time evolution of these patterns. The third is polymers and the statistical mechanics of knots, in which knot theory and self-avoiding random walk statistics are used to model volume exclusion effects for polymers of high molecular weight in dilute solution. Some computer computation, simulation and graphics will be required on these projects.

本研究涉及拓扑学的新应用 分子生物学和化学，包括三个 项目 第一个是纽结理论和DNA，其中 纽结理论的分析能力和精确的新 分子生物学实验技术（凝胶电泳 和rec A增强电子显微镜）相结合，研究 酶机制和底物构型。 二是 旋转螺旋波现象的拓扑模拟 可兴奋的媒介 差分拓扑技术可以 结合纽结理论中的代数拓扑， 这些波的模式，并描述这些时间演变， 模式. 第三个是聚合物和聚合物的统计力学。 纽结，其中纽结理论和自避免随机游动 统计数据用于模拟体积排除效应， 稀溶液中的高分子量聚合物。 一些 计算机计算，模拟和图形将需要在 这些项目。