国家数学与交叉科学中心合肥分中心报告会

报告题目：A Parallel Computational Model for Three-Dimensional Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets

报 告 人：Ju Lili, University of South Carolina
 
报告时间：2013年5月26日下午3:30-4:30
 
报告地点：管理科研楼1518
 
报告摘要：In this talk we focuses on the development of an efficient, three-dimensional, thermo-mechanical, nonlinear-Stokes flow computational model for ice sheet simulation. The model is based on the parallel finite element model developed by Leng et. al (2012) which features high-order accurate finite element discretizations on variable resolution grids. Here, we add an improved iterative solution method for treating the nonlinearity of the Stokes problem, a new highorder accurate finite element
solver for the temperature equation, and a new conservative finite volume solver for handling change of ice thickness. The result is an accurate and efficient numerical model for thermo-mechanical glacier and ice-sheet simulations. We demonstrate the improved efficiency of the Stokes solver using the ISMIP-HOM Benchmark experiments and a realistic test case for the Greenland ice-sheet. We also apply our model to the EISMINT-II benchmark experiments and demonstrate stable thermo-mechanical ice sheet evolution on both structured and unstructured meshes.

报告题目：Computational studies for cancer cell lineage models and cell signaling

报 告 人：Liu Xinfeng, University of South Carolina

报告时间：2013年5月26日 4:30-5:30

报告地点：管理科研楼1518

报告摘要：For the first part of this talk, I shall introduce mathematical modeling for the dynamical interaction between cancer stem cells (CSCs) and non-stem cancer cells, and our findings reveal that two negative feedback loops are critical in controlling the balance between the population of CSCs and that of non-stem cancer cells. Furthermore, the model with negative feedback suggests that over-expression of the oncogene HER2 leads to an increase of CSCs by regulating the division mode or proliferation rate of CSCs.
Scaffold, a class of proteins, plays many important roles in signal transduction. For the second part of my talk, through studying various models of scaffold, I will show novel regulations induced by scaffold binding in a multi-site phosphorylation system and with scaffold's spatial localization. To efficiently compute the models, we introduce a new class of fast numerical algorithm incorporated with adaptive mesh refinement and WENO scheme for solving the stiff systems with spatial dynamics.

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