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研究者和他的同事组织了一个国际会议，将应用数学家以及无数的和理论生物学家汇集在一起​​，讨论数学与生物学之间的界面研究。 数学模型旨在洞悉各种生物学和生物医学领域，包括种群和社区动态，细胞和肿瘤动力学，流行病学，免疫学和生理学。数学方法的预测可用于分析生物学数据和模型，这些方法是通过分歧分析探索的方程，动力学系统，功能分析，控制理论以及概率和统计。 会议计划包括八次主要调查讲座；其他参与者的大约80个较短的讲座和20个海报提出了最新的研究结果。 会议的目的是在生物学应用的数学生物学学领域中提供一个新研究的论坛，并促进数学和生物科学家之间的相互作用。 数学与其他科学之间的相互作用在科学知识的发展中始终发挥着动画作用。 这些互动已经提高了对生物学中理论和实践问题的理解，并刺激了数学学位，开发了适合这些问题的新方法。 在此会议中，对研究论文进行了数学分析，对艾滋病和眼源性的传播和可能性的可能性进行了数学分析，关于生态学和环境科学的测量范围，放疗和化疗，处族生理医学问题以及其他问题的问题。 还报道了数学方法论的新基础研究。 已经努力吸引成熟的和新研究人员，包括妇女和少数群体。 会议的格式包括全体调查讲座，个别研究纸张和海报会议，从而鼓励在这个跨学科的想法交流和新的研究人员交流。