BIOCOMPLEXITY--INCUBATION ACTIVITY: The Mathematics of Network Dynamics in Biological, Social, and Economic Systems

生物复杂性——孵化活动：生物、社会和经济系统中网络动力学的数学

• 批准号: 0083595
• 负责人: Reinhard Laubenbacher
• 金额: $ 9.89万
• 依托单位: New Mexico State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-09-15 至 2002-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0083595&HistoricalAwards=false
• 关键词: BIOCOMPLEXITY; INCUBATION; ACTIVITY; Mathematics; Network

LaubenbacherDMS-0083595Abstract:This Biocomplexity incubation activity proposal will study the emergent properties of ecological systems by applying new techniques from algebraic combinatorics, as well as methods from mathematical logic and statistical physics. Based on these methods, we will develop an integrated conceptual framework to analyze global properties arising from the connectivity structure among species and their constraints. Within this framework, the researchers will analyze specific ecosystems, by employing a set of formal mathematical/combinatorial tools. To accomplish these goals the project includes the following activities: regular meetings of project personnel and visitors to collaborate and create a common knowledge base; a four-day international workshop hall on "The mathematics of network dynamics in biological, social, and economic systems;" and simulation and analysis of specific systems. The results of these simulations will be used to refine our theoretical approach.

Laubenbacherdms-0083595Abstract：该生物复杂性孵化活动建议将通过应用代数组合学的新技术以及数学逻辑和统计物理学的方法来研究生态系统的新兴特性。 基于这些方法，我们将开发一个综合概念框架，以分析由物种之间的连通性结构及其约束产生的全球性质。 在此框架内，研究人员将使用一组正式的数学/组合工具来分析特定的生态系统。 为了实现这些目标，该项目包括以下活动：项目人员和访问者的定期会议，以合作并创建一个常见的知识库；为期四天的国际研讨会“生物，社会和经济体系网络动态数学的数学”研讨会；以及特定系统的仿真和分析。这些模拟的结果将用于完善我们的理论方法。