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Molecular imaging is an emerging interdisciplinary , involving multiple disciplines of molecular biology, physics , mathematics, information science , radiation medicine . The theory of molecular imaging is an important molecular imaging research . The autofluorescence tomography (BLT) is a biomedical molecular imaging technology , it is by localized and quantify the light source in the body to reveal the cellular and molecular events . Diffusion equation and Robin boundary conditions can be well described by the photon propagation in biological tissue , is a hot research topic in the BLT problem . This paper will overlap region algorithm , non-overlapping regions algorithm , mixed finite element method , the difference method is applied to the solution of the diffusion equation , discrete format to solve the diffusion equation is derived , and the establishment of the reconstructed light source mathematical model . Overlap region algorithm simulation , the phantom surface light source energy distribution obtained by solving BLT forward problem , then the application of genetic algorithms to rebuild the light source . For a given area using tetrahedral meshing feasible region by determining the light source to improve the stability and effectiveness of the solution . Finally, the application of the the MOSE algorithm platform in 3D and real environment to verify the stability of the MC algorithm were compared with the analytical solution .
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