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