报告人：贾晨 (北京计算科学研究中心特聘研究员)

报告题目：A complete spectral characterization for a stochastic gene regulatory model

报告摘要：In this study, we obtain an exact time-dependent solution of the chemical master equation (CME) of an extension of the two-state telegraph model describing bursty or non-bursty protein expression in the presence of positive or negative autoregulation. Using the method of spectral decomposition, we show that the eigenfunctions of the generating function solution of the CME are Heun functions, while the eigenvalues can be determined by solving a continued fraction equation. Our solution generalizes and corrects a previous time-dependent solution for the CME of a gene circuit describing non-bursty protein expression in the presence of negative autoregulation [Phys. Rev. E 83: 062902 (2011)]. In particular, we clarify that the eigenvalues are generally not real as previously claimed. We also investigate the relationship between different types of dynamic behavior and the type of feedback, the protein burst size, and the gene switching rate.

报告时间：2024年5月30日（星期四）10:00-11:30

报告地点：科技楼南楼711室

邀请人：吴付科

报告人简介：贾晨，特聘研究员，博士生导师，入选国家级人才计划。于北京大学数学科学学院取得学士学位与博士学位，博士毕业后赴美先后在德克萨斯达拉斯分校与韦恩州立大学从事博士后研究，随后回国并加入北京计算科学研究中心，主要从事数学、生物学、物理学等交叉领域的研究，特别是复杂生化网络的随机动力学与随机热力学研究。目前任中国信息学会算法专业委员会委员，主持国家自然科学基金面上项目，参与国家自然科学基金重点项目，以第一作者或通讯作者发表学术论文40余篇，多项研究工作发表在Cell子刊, SIAM汇刊, Annals of Applied Probability, Physical Review X, PLoS Computational Biology, Journal of Chemical Physics, Journal of Mathematical Biology等相关领域内的权威杂志上。