RUI: Characterizing Energy-Minimizing Knots
RUI:表征能量最小化结
基本信息
- 批准号:0311010
- 负责人:
- 金额:$ 15.13万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2003
- 资助国家:美国
- 起止时间:2003-09-01 至 2006-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Rawdon The investigator, collaborators, and students studydifferent knot energy functions and their optimal configurations.Specific topics include: characterizing the shape of ropelengthminima; finding relationships between the optima of differentenergy functions; studying polygonal energy optima as a functionof the number of edges; determining the role of flexibility inpulling knots tight and in packing them efficiently; exploringthe structure of polygonal knot space near ropelength minima;determining relationships between different notions of polygonalropelength. From the massive knots of cosmic strings to the microscopictangling of DNA, knotting and tangling are a part of nature. Onephysical attribute of a type of knot is its minimum ropelength(i.e. the amount of one-inch radius perfectly flexible ropeneeded to tie a configuration of the given type of knot). Theidea of ropelength has been used by biologists, physicists, andmathematicians to predict the packing of helical DNA, the speedat which knotted DNA moves through gel, and the average shape ofa knot within a large population of different configurations.What is so special about ropelength-minimizing conformations thatthey predict the behavior of real physical knots? What spatialattributes influence this behavior? Furthermore, real physicalmaterials have inherent limitations, such as resistance tobending. How does one incorporate inflexibility intomathematical models of macromolecules? How does the flexibilityof the material affect how the knot tightens and how long lengthspack into small spaces? In particular, can this knowledge beused to design knot-making materials that are both strong andresistant to slipping? The investigator, collaborators, andstudents study these fundamental questions about knotting andtangling in real physical systems. These studies lead to adeeper understanding of tangled structures present innanotechnology and biotechnology and to better models of knotsmade with real physical materials.
Rawdon 研究者,合作者和学生研究不同的结能量函数和它们的最佳配置。具体的主题包括:描述ropelengthminima的形状;发现不同能量函数的最佳值之间的关系;研究多边形能量最佳值作为边数的函数;确定灵活性在拉紧结和有效包装结中的作用;探索ropelength最小值附近的多边形节点空间的结构;确定不同ropelength概念之间的关系。 从宇宙弦的巨大结到DNA的微观缠结,打结和缠结是自然的一部分。 一种类型的结的一个物理属性是它的最小绳长(即一英寸半径的量完全灵活的roeded打一个给定类型的结的配置)。 绳长的概念已经被生物学家、物理学家和数学家用来预测螺旋DNA的包装、打结DNA在凝胶中移动的速度以及在大量不同构型中一个结的平均形状。绳长最小化构象有什么特别之处,以至于它们可以预测真实的物理结的行为? 什么样的空间属性影响这种行为? 此外,真实的物理材料具有固有的局限性,例如抗弯曲性。 如何将相容性纳入高分子的数学模型? 材料的柔韧性如何影响结的松紧度以及在小空间里打结的长度? 特别是,这些知识能用来设计既坚固又防滑的打结材料吗? 研究者、合作者和学生研究这些关于真实的物理系统中的打结和缠结的基本问题。 这些研究使人们对纳米技术和生物技术中的缠结结构有了更深入的了解,并使人们对用真实的物理材料制成的结有了更好的模型。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Eric Rawdon其他文献
Eric Rawdon的其他文献
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{{ truncateString('Eric Rawdon', 18)}}的其他基金
RUI: Entanglements in Proteins and Other Macromolecular Chains
RUI:蛋白质和其他大分子链中的缠结
- 批准号:
1720342 - 财政年份:2018
- 资助金额:
$ 15.13万 - 项目类别:
Standard Grant
RUI: Knotting transitions in physical systems
RUI:在物理系统中进行转换
- 批准号:
1418869 - 财政年份:2014
- 资助金额:
$ 15.13万 - 项目类别:
Standard Grant
RUI: Theory and simulations of knotting in physical and biological systems ranging from proteins to glueballs
RUI:从蛋白质到胶球的物理和生物系统中打结的理论和模拟
- 批准号:
1115722 - 财政年份:2011
- 资助金额:
$ 15.13万 - 项目类别:
Continuing Grant
RUI: Structure of Entanglement in Macromolecules
RUI:大分子中的缠结结构
- 批准号:
0810415 - 财政年份:2008
- 资助金额:
$ 15.13万 - 项目类别:
Standard Grant
Knot Complexity and the Structure of Polygonal Knot Space
结复杂度与多边形结空间的结构
- 批准号:
0296098 - 财政年份:2001
- 资助金额:
$ 15.13万 - 项目类别:
Standard Grant
Knot Complexity and the Structure of Polygonal Knot Space
结复杂度与多边形结空间的结构
- 批准号:
0074315 - 财政年份:2000
- 资助金额:
$ 15.13万 - 项目类别:
Standard Grant
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