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In this work, an inverse problem on the determination of multiplecoefficients arising from the time-domain diffuse optical tomography withfluorescence (DOT-FDOT) is investigated. We simultaneously recover thedistribution of background absorption coefficient, photon diffusion coefficientas well as the fluorescence absorption in biological tissue by thetime-dependent boundary measurements. We build the uniqueness theorem of thismultiple coefficients simultaneous inverse problem. After that, the numericalinversions are considered. We introduce an accelerated Landweber iterativealgorithm and give several numerical examples illustrating the performance ofthe proposed inversion schemes.

Simultaneous uniqueness and numerical inversion for an inverse problem in the time-domain diffuse optical tomography with fluorescence