Synthetic Study on Dynamical Systems in Mathematical Biology

四年研究项目的大纲如下。(1)We举办了三次国际会议。第一次会议是国际会议数学和理论生物学举行的希洛在夏威夷期间16^<th>和19^<th>的7月2001年。该项目的首席研究员是组委会日本方面的代表。几乎所有的项目成员都参加了这次会议，并讨论了数学生物学中的动力系统理论。第二次会议是2002年7月8日至19日在意大利乌尔比诺举行的生物数学欧洲暑期学校“生理学和医学动态系统”<th><th>。该项目的首席研究员是组织委员会成员之一。最近一次会议是2004年3月14日至17日在日本滨松举行的“动力系统理论及其在生物学和环境科学中的应用”国际研讨会<th><th>。200多人参加了研讨会，其中包括50名海外人士。尤其是日本年轻研究人员，吸引了众多海外研究者的关注。许多联合研究都是从这次研讨会开始的。超过50篇论文将发表在国际期刊上，两本书总结了数学生物学的艺术状态将由施普林格出版。(2)We举行了7次关于微分方程及其在生物学中的应用的全国会议。（3）以训练营的形式举办了4次研讨会，学习数学生物学方面的新书或重要经典书籍。特别是许多学生和年轻的研究人员参加了夏令营。(4)We计划于2006年在重庆、2007年在滨松和圣何塞召开生物动力系统理论国际会议。该项目的实施将推动数学生物学动力系统理论研究的发展，促进国内外的联合研究。

The outline of the research project for four years is as follows.(1)We held three international conferences. The first conference was the International Conference on Mathematical and Theoretical Biology held at Hilo in Hawaii during 16^<th> and 19^<th> of July in 2001. The head investigator of the project was the representative from Japan side of the organizing committee. Almost all members of the project participated the conference and discussed on the dynamical systems theory in mathematical biology. The second meeting was Biomathematics Euro Summer School "Dynamical Systems in Physiology and Medicine" held at Urbino, Italy during 8^<th> and 19^<th> of July in 2002. The head investigator of the project was one of the organizing committee. The last conference was the International symposium on "Dynamical Systems Theory and Its Applications to Biology and Environmental Sciences" held at Hamamatsu Japan during 14^<th> and 17^<th> of March in 2004. More than 200 people including 50 people from oversea participated on the symposium. In particular, young Japanese researchers have attracted attention from many overseas researchers. Many joint researches were initiated from the symposium. Over 50 papers will be published from the international journals and two books summarized the state of the art of mathematical biology will be published from Springer.(2)We held 7 national meetings on the differential equations and its application to biology.(3)The 4 seminars were held to study new books or important classical books in mathematical biology in training camp form. Especially many students and young researchers participated the camp.(4)We have plans for international conference on dynamical systems theory in biology at Chongqing in 2006, in Hamamatsu and San Jose in 2007.The project has contributed to develop the dynamical systems theory research in the mathematical biology and promoted national and international joint researches.