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Unique reconstruction of bioluminescence tomography based on diffusion approximation equations

Abstract 

In this talk, we consider inverse source problems arising in bioluminescence tomography (BLT). Mathematically, BLT is an under-determined inverse source problem which leads to no solution uniqueness. Particularly, one cannot distinguish between a strong source over a small region and a weak source over a large region. In this talk, two kinds of methods are proposed motivated by the solution uniqueness. Some theoretical and numerical results are reported for the verification of the new model and methods.