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.

翻译：本研究探讨了时间域荧光扩散光学断层成像（DOT-FDOT）中多个系数确定的反问题。我们通过时间依赖边界测量值，同时反演生物组织中的背景吸收系数、光子扩散系数以及荧光吸收系数的分布。建立了该多系数同时反问题的唯一性定理，随后进行了数值反演研究。我们引入了一种加速朗德韦伯迭代算法，并通过多个数值算例展示了所提反演方案的性能。