Vector Spaces and Kirchhoff Graphs

向量空间和基尔霍夫图

• 批准号: 0707692
• 负责人: Joseph Fehribach
• 金额: --
• 依托单位: Worcester Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-07-01 至 2010-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0707692&HistoricalAwards=false
• 关键词: Vector; Spaces; Kirchhoff; Graphs

This project concerns chemical, electrochemical, and biochemical reaction networks, reaction routes (reaction pathways) through these networks, and the depiction of these networks using Kirchhoff graphs. This work will build on a vector space approach to reaction routes to establish that one or more Kirchhoff graphs exist for any given reaction network and to develop a method for constructing these graphs. Neither of these results is obvious for arbitrary reaction networks. Results of the project will significantly aid fundamental understanding of reaction networks and have potential application to the design of fuel cells and other devices involving complicated chemical reaction networks.

该项目涉及化学，电化学和生物化学反应网络，通过这些网络的反应路线（反应途径），以及使用基尔霍夫图描述这些网络。 这项工作将建立在一个向量空间方法的反应路线，建立一个或多个基尔霍夫图存在于任何给定的反应网络，并开发一种方法来构建这些图形。 对于任意反应网络，这两个结果都不明显。该项目的结果将大大有助于对反应网络的基本理解，并对燃料电池和其他涉及复杂化学反应网络的设备的设计具有潜在的应用价值。