Interplay of Topology and Geometry in Polymeric Critical Phenomena

聚合物临界现象中拓扑和几何的相互作用

• 批准号: DP160103562
• 负责人: Prof Aleksander Owczarek
• 金额: $ 23.41万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2016
• 资助国家: 澳大利亚
• 起止时间: 2016-06-01 至 2020-01-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP160103562
• 关键词: Interplay; Topology; Geometry; Polymeric; Critical

This project aims to develop new understanding of key topologically driven behaviour in complex polymers such as DNA. The mathematical modelling of the rich geometric behaviour of long-chain polymers and how they change their shape in response to the environment has provided a framework for our understanding of these ubiquitous molecules. Complex polymers such as ring polymers and DNA display topological properties such as knotting and linking. Recent experiments twisting DNA demonstrate novel phenomena precipitated by the interplay of topological and geometric properties. Using advanced mathematical and computational techniques, the project aims to explain how topological constraints and changes disturb key polymer behaviour.

该项目旨在在复杂聚合物（例如DNA）中对关键拓扑驱动的行为发展新的理解。长链聚合物的丰富几何行为的数学建模以及它们如何根据环境改变其形状，为我们理解这些无处不在的分子提供了一个框架。复杂的聚合物（例如环聚合物和DNA）具有拓扑特性，例如打结和链接。扭曲DNA的最新实验表明，拓扑和几何特性的相互作用沉淀出来的新现象。该项目使用高级数学和计算技术，旨在解释拓扑约束和改变干扰关键聚合物行为。