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.