报 告 题 目：Study of bioluminescence tomography based on a new coupled diffusion equations

主 讲 人：龚 荣 芳

单 位：南京航空航天大学

时 间：5月26日15:00

腾 讯 ID：125-573-726

摘 要：

In this talk, we consider inverse source problems arising in bioluminescence tomography (BLT). Mathematically, BLT is an under-determined inverse source problem which leads to no solution uniqueness. Particularly, one cannot distinguish between a strong source over a small region and a weak source over a large region. Therefore, it is particularly important to know the support Ω_s of the underlining light source Ρ_* so that its strength could be reconstructed accurately. In the literature, Ω_s is assumed to be given in advance. Practically, we only get an approximation Ω_s of it, known from some a priori information. The accuracy of Ω_s affects largely the one in approximate solutions of Ρ_*. Therefore, in this talk, a new time-dependent coupled model is proposed motivated by the solution uniqueness. Some theoretical and numerical results are reported for the verification of the new model and methods.

简 介：

龚荣芳，南京航空航天大学数学学院，教授、硕士生导师。2009年博士毕业于浙江大学。随后进入南京航空航天大学数学系工作，期间于2014-2015年在美国Iowa大学、2016年在瑞典Orebro大学、2018年在澳大利亚国立大学访问。龚荣芳博士的研究方向主要包括光学成像、Cauchy问题等应用反问题的建模、正则化理论与方法，已在《Numerische Mathematik》、《Inverse Problems》、《Computational Methods in Applied Mechanics and Engineering》等发表SCI论文近30篇。主持完成国家自然科学基金青年项目、江苏省自然科学基金等7项。目前主持国家自然科学基金面上项目1项，参与国家面上项目1项。