logo
關於中心
成立目標
最新消息
活動相簿

中心組織
諮詢委員
學術委員
中心科學家
跨學科教員
研究科學家
博士後研究員
助理

學術活動
傑出應用數學講座
專題討論
定期研討會
教學課程
工作坊
出版作品

中心設備
中心辦公室
訪問學者辦公室
教室

訪問資訊
訪問學者
聯絡我們
相關連結
最新消息
Distinguished Applied Mathematics Lectures by Professor Masayasu Mimura, December 16, 2014

2014-12-08

Speaker:Professor Masayasu Mimura
(Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Japan)
Title:Model-aided Understanding of Self-organized aggregation
Time:Decemer 16 (Tuesday) 14:00-15:00pm
Venue:SA311

【摘要】
Over the past ten years, our understanding of how spatio-temporal patterns in far from equilibrium systems has been gradually deepened. Collaborative works of experimental and theoretical studies have discovered the mechanism how complex patterns were generated in biological systems. One of the great contributors is a British mathematician, logician, computer scientist and mathematical biologist, Alan Turing. He emphasized that genetics does not always reveal the occurrence of such patterns and even systems are simple, they may generate ordered as well as chaotic patterns in a self-organized way. In this talk, we are concerned with self-organized aggregation in biological individuals, which is caused by chemical pheromones. First, in a micro-scopic level, we discuss a macroscopic cross-diffusion model for self-organized aggregation of individuals that include directed movement due to an aggregation pheromone. We then propose a hybrid model which is related to macro-scopic and micro-scopic descriptions. This model assumes that each individual responds to pheromone concentration and moves by two-mode simple symmetric random walks. Our goal is to link these two models by using the singular limit and the hydrodynamic limit procedures. It shows that even though the movement of individuals is not directed, two-mode simple symmetric random walks and effect of the pheromone result in self-organized aggregation.

【榮譽與獎項(僅例部分)】
1990 invited speaker at ICM
1991 invited speaker at ICIAM
1996 vice-president of Japan SIAM
2002 President of Japan SIAM
2008 中華民國數學會特殊貢獻獎
2012 President of Japanese Society of Mathematical Biology

Download 1: poster.pdf

 


本網站著作權屬於數學建模與科學計算研究中心     Copyright©2009 All rights reserved.       
地址: 300 新竹市大學路1001號 科學一館3樓       
電話:03-513-1201 , 03-571-2121 分機:56476        傳真:03-513-1207
聯絡我們 : cmmsc@math.nctu.edu.tw