Abstract

The time-domain fluorescence diffuse optical tomography (FDOT) is to recover the distribution of fluorophores in biological tissue from the time domain measurement on the boundary. With the Laplace transform and the knowledge of complex analysis, we build the uniqueness theorem of this inverse problem. Further, we identify the location of the distribution of fluorophores over a point, refer as a point target. We theoretically investigate what is the minimal number of measurements to determine the point target location, analyzing the determinant of sensitivity matrix.

Biography

孙春龙，南京航空航天大学助理教授。2020年获得北海道大学和东南大学两个博士学位，2021年入职南京航空航天大学。主要研究方向为数学物理反问题的理论分析和数值计算方法，已在Inverse Probl.，Sci. China. Math.等期刊发表学术论文20篇，主持国家自然科学基金青年基金项目1项，主持江苏省自然科学基金项目2项，参与国家自然科学基金面上项目4项。