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.

小行星9402623 这位研究者和他的同事组织了一次国际会议，将应用数学家和数学及理论生物学家聚集在一起，讨论数学和生物学之间的界面研究。 数学模型的提出，以深入了解各种各样的生物和生物医学领域，包括人口和社区动力学，细胞和肿瘤动力学，流行病学，免疫学和physiology.Advances的数学方法，是有用的分析生物数据和模型通过微分方程，动力系统，泛函分析，控制理论，概率和统计讲座探讨。 会议的日程包括八个主要的调查讲座，大约80个简短的讲座和20个其他与会者的海报，介绍最近的研究成果。 该会议的目的是提供一个论坛，以展示数学生物学领域的新研究（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。 数学和其他科学之间的相互作用在科学知识的进步中一直扮演着重要的角色。最近，随着生物学知识的爆炸式增长，生物学家和数学家之间的相互作用也在增加。 这些相互作用提高了对生物学中理论和实践问题的理解，并刺激了数学家开发适合这些问题的新方法。 在这次会议上，研究论文给出了数学分析的传播和可能性，为控制艾滋病和其他流行病，对有关问题的测量尺度在生态学和精神科学，对放射治疗和化疗，对几个生理医学问题，并在其他问题。 最后，介绍了数学方法论的新基础研究. 为了吸引既有研究人员也有新的研究人员，包括妇女和少数民族，已经做出子特别的努力。 会议的形式包括全体调查讲座，个人研究论文和海报会议，从而鼓励在这一跨学科领域的新老研究人员之间的思想交流。