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探討心臟、和諧跳動與同步數學的關係

05 Jul 2019 2019年7月5日 2019年7月5日
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香港高等研究院資深院士Stephen Smale教授主持題目為「心臟、和諧跳動與同步數學」的傑出講座。

著名數學家Stephen Smale教授於 2019年7月4日為香港城市大學香港高等研究院主持題目為「心臟、和諧跳動與同步數學」的傑出講座。

心肌細胞是心臟細胞的一種,把它放入培養皿中會獨立震盪;一段時間後,附近的細胞會出現類似的震盪行為。講座上,加州大學柏克萊分校榮休教授兼香港高等研究院資深院士Stephen Smale教授,探討如何設計同步的數學模型以幫助理解這種現象。

Smale教授集中討論同步數學模型中最具代表性的藏本模型,並對藏本模型的常微分方程式進行幾何分析。他更詳細闡述藏本模型的方程設置如何產生「和諧跳動」的現象。

Smale教授以拓撲學、動力學系統和數學經濟學的研究而聞名,是極少數兼得菲爾茲獎及沃爾夫獎的數學家之一。同時,他是美國國家科學院院士。

Professor Stephen Smale, a renowned mathematician, delivered a distinguished lecture titled “The Heart, Beating in Unison, and the Mathematics of Synchronization” for the Hong Kong Institute for Advanced Study (HKIAS) at City University of Hong Kong on 4 July 2019.  Myocites, a class of heart cells, oscillate independently when put into a petri dish but after some time nearby cells will have similar oscillatory behaviour. In this lecture, Professor Stephen Smale, Professor Emeritus at University of California, Berkeley and Senior Fellow of HKIAS, discussed how to design a mathematical model of synchronization to help understand this phenomenon.  Professor Smale focused on discussing one of the most representative mathematic models in synchronization - Kuramoto model; he analysed the geometric consequences of Kuramoto's ordinary differential equations. In addition, Professor Smale elaborated how to obtain a phase setting of Kuramoto equations to get a "beating in unison" result.  Professor Smale is known for his research in topology, dynamical systems and mathematical economics. He is one of the few mathematicians to win both the Fields Medal and Wolf Prize in mathematics. He is a Member of the US National Academy of Sciences.
(左五) 是次講座主持人城大數學系講座教授陳漢夫教授、(左八) 香港高等研究院執行院長及城大材料科學系講座教授黃志青教授、(右五) 香港高等研究院資深院士Peter Glynn教授、(右六) Smale教授及一眾與會教授合照。

 

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