报告题目：Unveiling the Multistability of Complex Biological Systems: A New Horizon in the Solution Landscape

报告人：张磊教授（北京大学）

报告时间：2025年9月25日 

报告地点：复杂系统研究所四层(409室)(9:30-12:00)

报告人简介：张磊，北京大学北京国际数学研究中心博雅特聘教授，定量生物学中心、国际机器学习中心PI。2001年本科毕业于北京大学，2004年在中科院数学与系统科学研究院获硕士学位，2008年在美国宾州州立大学获博士学位。研究领域为计算和应用数学、交叉科学，包括稀有事件与解景观的算法与应用，数学与生命科学交叉，计算材料科学等。研究成果在PRL、PNAS、Acta Numerica、Cell Systems、Nature Communications、Science Advances、SIAM系列期刊发表。(曾)主持国家基金委创新研究群体、国家杰出青年科学基金、科技部重点研发专项、基金委原创探索计划、基金委优秀青年科学基金、中组部高层次青年人才计划等项目。2027年国际工业与应用数学大会（ICIAM）大会邀请报告人，曾获第二届王选杰出青年学者奖、英国皇家学会牛顿高级学者，目前担任“计算数学”副主编，SIAM J. Appl. Math、Science China Mathematics、CSIAM Trans. Appl. Math、The Innovation、Quantitative Biology等8个国内外期刊的编委。

报告摘要人：Biological systems are often characterized by nonlinear interactions, feedback loops, and the ability to adapt and evolve, making them challenging to study and model. The Waddington landscape has been widely applied to many biological systems. A long standing problem in computational mathematics is how to search for the entire family tree of possible stationary states without unwanted random guesses? Here we introduce a novel concept “Solution Landscape”, which is a pathway map consisting of all stationary points and their connections. We develop a generic and efficient saddle dynamics method to construct the solution landscape, which not only identifies all possible stationary states, but also reveals the connections between them. As illustrations, we apply the solution landscape approach to study two problems: One is to investigate the solution landscape of reaction-diffusion systems, which reveals a nonlinear mechanism for pattern formation beyond Turing instability, and the other one is construction of a blueprint of cell fate decision via Hyper Solution Landscape.

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