首页 学术信息

2017年信息与数学学院学术报告(六)

 

     报告题目Approximate Method for Stochastic Chemical Kinetics with Two-time Scales by Chemical Langevin Equations
     报告人:吴付科(华中科技大学 博士 教授)
          报告地点:东校区8-400
          报告时间2017519日(周五)1600--1700

     欢迎广大师生踊跃参加!

 

    摘 By the stochastic averaging principle, this paper establishes the reduction of complexity for the CLE (Chemical Langevin Equations) with two-time scales. This reduction method deduces a limit averaging system, which is an approximation of the slow-reacting subsystem. Since in the stochastic chemical kinetics, the CLE is seen as the approximation of the SSA(stochastic simulation algorithm), the limit averaging system can be treated as the approximation of the slow-reaction process. As an application, this paper establishes the reduction of complexity for the gene regulatory networks with two-time scales driven by intrinsic noise. For linear and nonlinear protein production functions, the simulations shows that the expectation of the limit averaging system is close to the expectation of the slow-reaction process based on the SSA, which demonstrates that the limit averaging system is an approximation of the slow-reacting variables in the CLE with two-time scales in the sense of the weak convergence.

 

    报告人简介:吴付科,教授,博士生导师,2003年博士毕业于华中科技大学数学与统计学院。主要从事随机微分方程以及相关领域的研究,2011年入选教育部新世纪优秀人才支持计划,2012年入选华中科技大学华中学者2014年获基金委优秀青年基金资助,2015年获得湖北省自然科学二等奖,2017年获得英国皇家学会"牛顿高级学者"基金。近年来,在SIAM J. Appl. Math., SIAM J. Numer. Anal., SIAM J. Control Optim., Numer. Math., J. Differential Equations, AutomaticaIEEE TAC等国际权威期刊发表论文80余篇,全部为SCI收录。共主持4项国家自然科学基金和一项教育部新世纪优秀人才基金,出版一部专著(与胡适耕教授和黄乘明教授合著: 随机微分方程, 科学出版社, 2008)和一部译著(与刘金山副教授合译:随机微分方程:导论与应用,  科学出版社, 2012)