Local analysis for locating a point target in time-domain fluorescence diffuse optical tomography

讲座时间 Datetime: 2022年9月8日，星期四，15:00-16:00

地点 Venue: 腾讯线上会议：384897653

主持人 Host：张植栋

报告人 Speaker: 孙春龙

单位 Affiliation: 南京航空航天大学

报告摘要 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. The measurement is conducted by several pairs (S-D pairs) of a point source and a point detector. In this paper, we identify the location of the distribution of fluorophores over a point, refer as a point target. For that we first give an expression of solution for the forward problem in a dimensionless form and consider its asymptotic expansion. Then, we theoretically investigate what is the minimal number of S-D pairs to determine the point target location, analyzing the determinant of sensitivity matrix. Finally, we numerically verify the invertibility of the matrix and demonstrate the local solvability for locating the point target. (Joint work with Junyong Eom, Gen Nakamura,and Goro Nishimura)