【学术预告】数学与统计学院学术预告三则

报告题目1：Moment dynamics for biochemical reactionsystems withapplicationinamyloidproteinaggregation

报告人：康艳梅

报告时间：12月15日（周五）14:00-16:00

报告地点：数学楼315会议室

报告摘要：The moment evolutionary system based on suitable closure techniques is important tool for capturing the low-order statistical moments of biochemical reaction systems. Starting with the intrinsic randomness in biochemical reactions, I will give a brief introduction on chemical master equation and its moment evolution equations. Then I will introduce the two recent researches from our group in this regard. The first one is about a systematic investigation and comparison of derivative matching closure and generalized Gaussian moment closure in gene regulatory system of rational reaction rates. The second one is related to an application of the derivative matching moment closurein disclosing the early nucleation mechanism of amyloid protein aggregation.

报告人简介：康艳梅，西安交通大学数学与统计学院教授、博士生导师，其研究方向为应用随机动力系统与机器学习。博士学位论文曾获评2006年陕西省优博，并获2007年全国百篇优博提名。曾访问英国华威大学计算生物学实验室、澳大利亚悉尼大学脑科学中心及香港城市大学混沌与复杂系统研究中心。现为Cognitive Neurodynamics、Annals of Applied Science、《国际应用数学进展》等学术期刊的编委。累计主持中国博士后基金和国家自然科学基金青年及面上项目共计6项。 已在国内外知名学术期刊发表SCI学术论文60余篇，其中Journal of Mathematical Physics的论文曾被2010年Phys. Rev. Lett.论文引用、Scientific Reports的论文曾被2022年PNAS论文引用，而Frontiers in Computational Neuroscience的论文曾入选2021年度编辑精选。

报告题目2：Optimal strategies of the age-specific vaccination and antiviral treatmentagainst influenza

报告人：杨俊元

报告时间：12月15日（周五）16:00-18:00

报告地点：数学楼315会议室

报告摘要：Influenza, caused by any of several human influenza viruses, is a highly contagious respiratory disease and it produces millions of cases worldwide. Vaccination and antiviral treatment are two main biomedical interventions for curtailing influenza spread. In this talk, an age-structured SVIR influenza model is used to take account for the efficacy of vaccination and antiviral treatment. Next, the stability of the disease-free equilibrium is captured by analyzing the root distributions of the characteristic equation and the existence of the endemic equilibrium is established by employing a generalized fixed point theorem. Moreover, the consideration of the availability of medical resources is settled as an optimal control problem to investigate the cost-effective interventions for the guidelines of optimal policy selection. Numerical simulations show that the outcomes of optimal control are characterized by the cost of control strategies, age structured of hosts and the different measures of influenza intervention. As a result of consequences, we recommend projecting vaccination at the early period and the implement of therapy at the entire infectious course, to slow down or eradicate influenza transmission.

报告人简介：杨俊元，教授，博士生导师，研究方向为传染病动力学、博弈论与复杂网络。现主持教育部人文社科项目1项,主持完成国家自然科学基金3项，国家留学基金1项，省部级项目7项。在《Journal of Differential Equations》、《Journal of Mathematical Biology》、《Mathematical Biosciences》、《Nonlinear Analysis:Real World Applications》、《Chaos》等国内外重要学术期刊发表学术论文100余篇，被SCI收录90余篇（含通信作者），其中2区以上期刊发表论文50余篇，总引用900多次。在传染病动力学、博弈论与复杂网络传播动力学方面做出了卓有成效的工作，受到国内外学者广泛的关注。目前是Plos One和河南师范大学学报自然科学版编委。先后获得山西省优秀青年学术带头人、山西省高校131领军人才等。

报告题目3：Mathematical modeling of an HIV infection model with the homeostatic proliferation of CD4+ T and CTL immune response

报告人：董岳平

报告时间：12月15日（周五）18:00-20:00

报告地点：数学楼315会议室

报告摘要：First, we propose a new HIV infection model that considers the homeostatic proliferation of CD4+ T cells and CTL immune response. The system has a non-infection equilibrium, at most two boundary equilibria (strong infection and weak infection without CTL), and a unique interior equilibrium. The stability of each equilibrium is studied by analyzing the characteristic equation of the system. We showed that both the strong infection equilibrium and interior equilibrium can appear Hopf bifurcation inducing stable limit cycles. Secondly, we incorporate virus replication delay and CTL immune activation delay into previous ODEs model. The new findings show that virus replication delay can only destabilize the interior equilibrium. However, CTL immune activation delay can not only destabilize the interior equilibrium but also stabilize the interior equilibrium. Several bifurcation diagrams are provided to support the theoretical results.

报告人简介：董岳平，华中师范大学副教授。主要从事生物数学、微分方程理论及其在生物医学等领域中的应用研究。先后在 American Naturalist, Journal of Theoretical Biology, BMJ Open, Applied Mathematical Modelling, Nonlinear Dynamics等学术期刊上发表SCI论文30余篇，主持2项国家自然科学基金项目和1项湖北省自然科学基金项目。