Mathematical Modeling for Magnetic Particle Imaging

发布时间：2018-04-02 作者：浏览次数：

Speaker:	Professor Bangti Jin	DateTime:	2018年04月02日（星期一）上午10:40—11:30
Brief Introduction to Speaker: Professor Bangti Jin，University College London		Place:	六号楼二楼报告厅
Abstract:Magnetic particle imaging is an imaging modality of relatively recent origin. It exploits the nonlinear magnetization response for reconstructing the concentration of nanoparticles. Since first invented in 2005, it has received much interest in the literature. In this talk I will discuss one prototypical mathematical model in multi-dimension, i.e., the equilibrium model, which formulates the problem as a linear Fredholm integral equation of the first kind. I will discuss the degree of ill-posedness of the associated linear integral operator by means of the singular value decay estimate for Sobolev smooth bivariate functions, and discuss the influence of various experimental parameters on the decay rate.