报告题目：Reaction-diffusion model with nonlocal effects modeling tidal marsh spatial patterning and pollen tube tip growth
报告人：美国威廉玛丽学院(College of William and Mary)    史峻平教授
报告时间：2019年6月20日（星期四）上午8:30-11:30
报告地点：数学馆金融实验室

报告人简介：史峻平，美国威廉玛丽学院(College of William and Mary)数学系主任，汉密尔顿讲座教授。1990-93年南开大学学习，1998年毕业于美国杨百翰大学，获博士学位。主要研究方向为偏微分方程，动力系统，分歧理论，非线性泛函分析，生物数学。在偏微分方程，分歧理论方面的研究工作受到国际上广泛重视。另外在生物数学，包括种群模型，生物化学反应，形态生成，生态系统稳定性等方面都有研究。曾任哈尔滨师范大学龙江学者讲座教授，山西大学<>计划讲座教授，主持参加美国和中国国家科学基金会基金项目多项，主持组织国际学术会议20多次，在国际学术会议做大会报告/邀请报告100余次。担任多个国际知名SCI刊物编委，为80多种数学、物理、生物刊物审稿人。发表学术论文150余篇，其中被SCI收录140余篇，被SCI杂志引用2000余次（它引1700余次）。

 
报告摘要：We will talk about two recent work: 1. A reaction-diffusion model with nonlocal interactions between ribbed mussels, marsh grass and sediment is proposed. Mussel-grass aggregating behavior is suggested to be a result of nonlocal density-dependent interactions between mussels. The model is a reaction-diffusion system with cooperative kinetic dynamics which is outside of the regime of classical Turing instability mechanism, but the nonlocal interaction causes the generation of spatial patterns. The nonlocal model can be approximated by a bi-harmonic PDE, which produces analytic results marching the numerical simulation of full nonlocal model. 2. A reaction-diffusion model is proposed to describe the evolution of spatial distributions of ROP1 and calcium on the pollen tube tip. The cytoplasmic ROP1 activate ROP1 on the membrane and the calcium ions inhibit ROP1, while ROP1 controls calcium influx with a time delay. Lateral movement of molecules on the membrane are depicted by diffusion. It is shown that bistable or oscillatory dynamics could exist even in the non-spatial model, and time delay can also promote oscillation. Stationary and oscillatory spatiotemporal patterns are found in the full spatial model which resemble the experimental data of pollen tube tip growth.  

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