Mathematical Sciences: Ideas, Problems, and Methods at the Interface between Biology and Mathematics

数学科学：生物学与数学交叉点的思想、问题和方法

• 批准号: 9402623
• 负责人: Kenneth Cooke
• 金额: $ 0.4万
• 依托单位: Harvey Mudd College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1994-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9402623&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Ideas; Problems; Methods

9402623 Cooke The investigator and his colleagues organize an internationalconference that brings together applied mathematicians andmathematical and theoretical biologists to discuss research at theinterface between mathematics and biology. Mathematical modelsare presented to lend insight into a wide variety of biologicaland biomedical areas, including population and community dynamics,cell and tumor dynamics, epidemiology, immunology, and physiology.Advances in mathematical methods that are useful in analyzingbiological data and models are explored via lectures ondifferential equations, dynamical systems, functional analysis,control theory, and probability and statistics. The program forthe meeting includes eight principal survey lectures;approximately 80 shorter lectures and 20 posters by otherparticipants present recent research results. The purpose of the Conference is to provide a forum forexposition of new research in the field of mathematical biologymathematics applied in biology), and to promote interactionbetween mathematical and biological scientists. Interactionbetween mathematics and other sciences has always played animportant role in the advancement of scientific knowledge.Recently, as biological knowledge has exploded, interactionbetween biologists and mathematicians has increased. Theseinteractions have improved understanding of theoretical andpractical questions in biology, and have stimulated mathematiciansto develop new methods appropriate for these questions. In thisConference, research papers are given on mathematical analysis ofthe spread and possibilities for control of AIDS and otherepidemics, on questions about scales of measurement in ecology andenvironmental science, on radiotherapy and chemotherapy, onseveral physiological medical problems, and on other problems. Newbasic research on mathematical methodology is also reported. Aspecial effort has been made to attract a mix of established andnew researchers, includin g women and minorities. The format ofthe meeting includes plenary survey lectures, individual researchpapers, and poster sessions, thus encouraging exchange of ideasamong established and new researchers in this interdisciplinaryfield.

9402623 Cooke 研究者和他的同事组织了一次国际会议，汇聚了应用数学家以及数学和理论生物学家，讨论数学和生物学之间的交叉研究。 数学模型的提出有助于深入了解各种生物学和生物医学领域，包括人口和群落动力学、细胞和肿瘤动力学、流行病学、免疫学和生理学。通过微分方程、动力系统、泛函分析、控制理论以及概率和统计学的讲座，探讨了可用于分析生物数据和模型的数学方法的进展。 会议议程包括八个主要调查讲座、约 80 个较短的讲座和其他参与者展示最新研究成果的 20 张海报。 会议的目的是为数学生物学领域的新研究提供一个论坛（数学在生物学中的应用），并促进数学和生物科学家之间的互动。 数学与其他科学之间的互动一直在科学知识的进步中发挥着重要作用。近年来，随着生物学知识的爆炸式增长，生物学家和数学家之间的互动也有所增加。 这些相互作用提高了对生物学理论和实践问题的理解，并刺激数学家开发适合这些问题的新方法。 在这次会议上，研究论文涉及艾滋病和其他流行病的传播和控制可能性的数学分析、生态学和环境科学中的测量尺度问题、放射治疗和化学治疗、一些生理医学问题以及其他问题。 还报道了数学方法论的新基础研究。 我们特别努力吸引既有的研究人员也有新的研究人员，其中包括女性和少数族裔。 会议的形式包括全体调查讲座、个人研究论文和海报会议，从而鼓励这一跨学科领域的老牌和新研究人员之间的思想交流。