报告题目1: Fast Methods for Solving Eikonal Equations

报告人：Yi Luo, University of California, San Diego
 
报告时间：12月20号下午2点—3点
 
报告地点：数学楼2楼学术报告厅
 
摘要： 
    The Eikonal equation arises in the fields of computer vision, image processing, geoscience, seismic tomography, to name a few.
In some applications, the equation needs to be solved on a billion-point grid, and for tens of thousand times. In this talk, we first introduce the most popular Fast Marching Method (FMM) by Sethian in 1996 and Fast Sweeping Method (FSM) by Zhao in 2005. Then we briefly survey their modern variants and many parallelization techniques.
Along the way, the emphasis will be given to algorithmic ideas and intuitions, and theoretical proofs will be provided whenever appropriate.
 
 
报告题目2：Multi-scale Modeling and Simulation of the Growth of Bacterial Colony with Cell-Cell Mechanical Interactions
 
报告人：Professor Hui Sun, California State University, Long Beach.

报告时间：12月20号下午3点—4点。
 
报告地点：数学楼2楼学术报告厅
 
摘要
    The growth of bacterial colony exhibits striking patterns that are determined by the interactions among individual, growing and dividing bacterial cells, and that between cells and the surrounding nutrient and waste. Understanding the principles that underlie such growth has far-reaching consequences in biological and health sciences. In this work, we construct a multi-scale model of the growth of E. coli cells on agar surface. Our model consists of detailed, microscopic descriptions of the cell growth, cell division with fluctuations, and cell movement due to the cell-cell and cell-environment mechanical interactions, and macroscopic diffusion equations for the nutrient and waste. Our large-scale simulations reproduce experimentally observed growth scaling laws, strip patterns, and many other features of an E. coli colony. This work is the first step toward detailed multi-scale computational modeling of three-dimensional bacterial growth with mechanical and chemical interactions.  This is joint work with Dr. Mya Warren, Ms. Yue Yan, Dr. Bo Li, and Dr. Terry Hwa.