报告题目： Mathematics of Darwinizn: Viral Evolution as Case Study
报告时间：2019年9月10日，星期二，上午 10:00-12:00
报告地点：数学楼2-3会议室
报告人: Prof. Andrei Alekseevich Korobeinikov, 巴塞罗那自治大学
Abstract:
A full-scale experiment in evolutionary biology is hardly possible as either extremely expensive and lengthy, or unethical (or, more often, both). Under these circumstances, mathematical modelling offers an excellent alternative to a natural experiment.
In this presentation, I introduce a unifying paradigm of mathematical modelling in evolutionary biology, that utilise the concept of variant space (rather than genotype or phenotype space). This conceptual approach allows to construct a mechanistic model of (micro-)evolution on the bases of any of the many existing models of population dynamics (such as models of viral dynamics, cancer dynamics, etc.). Depending on a specific type of the model that serves as a basis, the resulting model of evolution can be formulated as deterministic, stochastic or probabalistic model. An important property of a resulting model is that the model is essentially mechanistic (that is, based upon the first principles): in contrast to earlier suggested phenomenological (data-based) models, for a mechanistic model all model parameters, as well as obtained results, can be straightforwardly interpreted.
As case study, I consider RNA virus within host evolution. Using a well-know deterministic HIV dynamics model as a basis, I show how a variant-space model of within-host viral evolution can be formulated. Simulations exhibit dynamics that closely resembles the real-life clinical observations.
报告人简介：
Andrei Alekseevich Korobeinikov 教授是西班牙巴塞罗那自治大学回归数学中心的教授，同时也是该中心数学传染病学团队的负责人。Andrei Alekseevich Korobeinikov教授长期从事生命科学中的数学模型，非线性动力系统（包括非线性常微分方程和偏微分方程）、传染病学、人口动力学、生物生态学等领域的研究。担任多家国际权威期刊编委、主编。在 J. Theor. Biol., J. Phys. Conf. Ser，R. Sco. Open Sci., J. Math . Biol., Math. Med. Biol., Bull. Math. Biol., Nonl. Anal., Appl. Math. Lett., Annals of VNII SDM 等国际知名学术期刊发表文献100多篇。2019年被评为高被引学者, 其论文被引用2600多次(Google Scholar)；有70篇被引用1548次(Scopus)；有51篇文章被引用1472次(Web of Science)。此外， Andrei alekseevich Korobeinikov 教授多次应邀在国际生物数学学术会议上作大会报告，并举办和组织国际生物数学学术会议。目前担任“Mathematical Modelling of Natural Phenomena”杂志的主编，同时也Mathematical Biosciences and Engineering，Journal of Nonlinear Systems and Applications，Nonlinear Modeling and Control, International Journal of Biology and Biomedical Engineering，International Journal of Mathematics and Computers in Simulation, International Journal of Pure Mathematics，Infectious Diseases: Research and Treatment，Journal of Mathematics and Statistics，Research and Communications in Biological Sciences等学术期刊的编委。
