An Introductory Course in Modeling Dynamic Chemical and Ecological Systems

动态化学和生态系统建模入门课程

• 批准号: 9554932
• 负责人: Daniel Martire
• 金额: $ 10万
• 依托单位: Georgetown University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-01-01 至 1999-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9554932&HistoricalAwards=false
• 关键词: Introductory; Course; Modeling; Dynamic; Chemical

An introductory course in modeling of dynamic systems, with special emphasis on chemical and ecological problems, will be developed. The target student population will be first- and second-year social-science and humanities students, but upper-division students and interested science majors will not be excluded. Rather than placing emphasis on mathematical methods and techniques used in modeling, attention will be centered on salient aspects of complex-system behavior as illustrated by models constructed using the commercially-available software-package STELLA II. Relatively straight-forward models dealing with chemical reactions will be used to introduce fundamental features of complex-system dynamics. Problems of ecological and demographic interest, at moderate level of difficulty, will then be covered. The origin and behavior of "deterministic chaos" will be treated using examples from both chemistry and ecology. In the last third of the course, students will work in small groups (or individually) developing their own models, each related to a specific problem of current interest, preferably in fields of the students' major academic interest. Opportunity will be provided for some outstanding students to use less "user-friendly" software such as ODEPACK to deal with models involving "stiff" differential equations. The last exercise of the course will be a poster-session, at which individuals and groups will present their project-models to other members of the class, and to guests. The main aims of the course will be to facilitate development of the students' insight with respect to types of functioning to be expected of complex networks of relationships, and therefore in important natural systems, and also to engender an appreciation of the power and limitations of modeling techniques.

将开设动态系统建模入门课程，特别强调化学和生态问题。 目标学生群体将是社会科学和人文学科一年级和二年级的学生，但也不排除高年级学生和感兴趣的科学专业的学生。 注意力将集中在复杂系统行为的显着方面，而不是强调建模中使用的数学方法和技术，如使用商用软件包 STELLA II 构建的模型所示。处理化学反应的相对直接的模型将用于介绍复杂系统动力学的基本特征。 然后将讨论中等难度的生态和人口利益问题。将使用化学和生态学的例子来处理“确定性混沌”的起源和行为。在课程的最后三分之一中，学生将以小组（或单独）的形式开发自己的模型，每个模型都与当前感兴趣的特定问题相关，最好是在学生主要学术兴趣的领域。 将为一些优秀的学生提供使用ODEPACK等不太“用户友好”的软件来处理涉及“刚性”微分方程的模型的机会。课程的最后一个练习将是海报会议，个人和团体将在会上向班级其他成员和嘉宾展示他们的项目模型。本课程的主要目的是促进学生深入了解复杂关系网络的功能类型，从而了解重要的自然系统中的功能类型，并让学生了解建模技术的力量和局限性。