Some Equations of Mathematical Biology
29 May 2019
Professor Benoît Perthame, a renowned mathematician, presented a distinguished lecture titled “Some Equations of Mathematical Biology” for the Hong Kong Institute for Advanced Study (HKIAS) at City University of Hong Kong on 23 May 2019.
Equations of mathematical physics are numerous and define many basic principles of physics. In this talk, Professor Benoît Perthame, Professor of Mathematics at Sorbonne Université in Paris and the Director of the Laboratoire Jacques-Louis Lions, discussed several topics from biology: ecology, neuroscience, cell movement, dynamics of tissue growth through some famous equations of mathematical physics.
Professor Perthame elaborated the Fundamental Principle of Dynamics described by the Newton equations. In addition, he explained how Maxwell, Boltzmann and Schrodinger equations illustrate the fundamental principles of electromagnetism, rarefied flows, and quantum world.
Professor Perthame shared his latest research result on Partial Differential Equations (PDEs). In conclusion, he said that nonlinear PDEs have played an important role in a number of problems from biology as cell motion and cell colonies self-organization, Darwinian evolution, modeling tumor growth and therapy, neural networks.
Professor Perthame has made significant contributions in the fields of differential equations, biomathematics and computational mathematics. He was a plenary speaker at the International Council for Industrial and Applied Mathematics 2011 (Vancouver) and at the International Congress of Mathematicians 2014 (Seoul). He is a Fellow of the French Academy of Sciences.
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