Collaborative Proposal: Mathematical Methods for Biology and Medicine

合作提案：生物学和医学的数学方法

• 批准号: 0535924
• 负责人: Michael Martin
• 金额: $ 4万
• 依托单位: Johnson County Community College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-09-01 至 2009-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0535924&HistoricalAwards=false
• 关键词: Collaborative; Proposal; Mathematical; Methods; Biology

Mathematical Sciences (21). The principal investigators of this collaborative project are creating, implementing, and disseminating curriculum materials for a new course in mathematics for biologists. The course assumes any Calculus I course as a prerequisite and is being developed out of material from courses above Calculus I. The materials are chosen because of their utility to biologists and the topics include: models and date; probability; dynamic models for single populations; discrete dynamical systems (with focus on structured population dynamics); stochastic processes (with focus on epidemiology); continuous dynamical systems (with focus on biochemical kinetics and pharmacokinetics); and systems biology (with focus on genetic through organism levels). Students are using computer algebra software, and online modules are being developed for the different topics. Intellectual Merit. The material design, course design, pedagogy, and evaluation plan are informed by recent literature related to best educational practices. The course and curriculum materials are being evaluated by experts in mathematical biology. Broader Impacts. Several institutions, including a research university, a community college, and a four-year college, is committed to the project, and workshops and conference presentations are planned for dissemination of materials and assessment results.

数学科学(21)。这个合作项目的主要研究人员正在为生物学家创建、实施和传播一门新的数学课程的课程材料。本课程假设任何微积分I课程都是必修课，并且是从微积分I以上课程中的材料发展而来的。选择这些材料是因为它们对生物学家有用，主题包括：模型和日期；概率；单个种群的动态模型；离散动力系统(重点是结构化种群动力学)；随机过程(重点是流行病学)；连续动力系统(重点是生化动力学和药代动力学)；以及系统生物学(重点是通过生物体水平的遗传)。学生们正在使用计算机代数软件，并正在为不同的主题开发在线模块。智力上的功绩。教材设计、课程设计、教学方法和评估计划都参考了与最佳教育实践相关的最新文献。课程和课程材料正在接受数学生物学专家的评估。更广泛的影响。包括一所研究型大学、一所社区学院和一所四年制学院在内的几个机构致力于该项目，并计划举办讲习班和会议报告，以传播材料和评估结果。