主讲人：Dr. Lam King Yeung (林经洋) （Ohio State University, USA）

时  间：10月29日（周二）10:40-11:40

地  点：必赢76net线路官网北二区教学楼 513 教室

Abstract: Approximately one third of the human population are infected by Micpbacteria tuberculosis, yet only a few millions are clinically sick. The reason for this disparity is that under small amount of bacteria inhalation the granulomas formed by the macrophages are small and either remain stable or eventually shrink to zero. In the present paper we develop a simple free boundary type model of granuloma. The model involves just macrophages and bacteria, and was introduced earlier, in the radially symmetric case, in [Friedman-Kao-Leander, submitted]. We first establish the existence of radially symmetric steady state granulomas with any radius R; 0 < R < R* , where R* is given explicitly by the model's parameters. Then we consider mathematically the linearized stability/instability of small radially symmetric steady states. This is joint work with Avner Friedman (OSU).