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学术报告:Stochastic processes in nonequilibrium statistical mechanics and single-cell biology

发布时间:2016-10-14     来源:    点击数:

报告题目:Stochastic processes in nonequilibrium statistical mechanics andsingle-cell biology

报告人:葛颢(北京国际数学研究中心副教授  北京大学生物动态光学成像中心  研究员)

报告时间:2016101616:00   

报告地点:知新楼B1238

 

报告摘要:

Stochastic processes play an important rolein statistical mechanics and single-cell biology, and entered a stage ofvigorous development since 1970s. I will discuss our recent stochasticapproaches to investigate the nonequilibrium thermodynamics of chemicalreaction systems, including the decomposition of entropy production rate, amore stronger version of Clausius inequality, and a balance equation of ageneralized macroscopic free energy. The mathematical theory illustrates how anovel macroscopic dynamic law can emerges from the mesoscopic kinetics in amulti-scale system. I will also discuss a new rate formula for phenotypetransition at the intermediate region of gene-state switching for single cells,the rigorous proof of which needs to integrate the well-known Donsker-Varadhantheory and Freidlin-Wentzell theory of large deviation principle. The new rateformula can explain a "noise enhancer" therapy for HIV reportedrecently, which motivated a future project of us.

 

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