TY - JOUR
T1 - The inverse source problem based on the radiative transfer equation in optical molecular imaging
AU - Klose, Alexander D.
AU - Ntziachristos, Vasilis
AU - Hielscher, Andreas H.
N1 - Funding Information:
This work was supported in part by a postdoctoral fellowship awarded to Dr. Klose from the Ernst Schering Research Foundation, Germany, and a grant from the National Institute of Biomedical Imaging and Bioengineering (5 R33 CA 91807-3), which is part of the National Institutes of Health. We also thank Dr. Gassan Abdoulaev (Department of Biomedical Engineering, Columbia University) and Dr. Guillaume Bal (Department of Applied Mathematics, Columbia University) for helpful comments reviewing this paper.
PY - 2005/1/1
Y1 - 2005/1/1
N2 - We present the first tomographic reconstruction algorithm for optical molecular imaging that is based on the equation of radiative transfer. The reconstruction code recovers the spatial distribution of fluorescent sources in highly scattering biological tissue. An objective function, which describes the discrepancy of measured near-infrared light with predicted numerical data on the tissue surface, is iteratively minimized to find a solution of the inverse source problem. At each iteration step the predicted data are calculated by a forward model for light propagation based on the equation of radiative transfer. The unknown source distribution is updated along a search direction that is provided by an adjoint differentiation technique.
AB - We present the first tomographic reconstruction algorithm for optical molecular imaging that is based on the equation of radiative transfer. The reconstruction code recovers the spatial distribution of fluorescent sources in highly scattering biological tissue. An objective function, which describes the discrepancy of measured near-infrared light with predicted numerical data on the tissue surface, is iteratively minimized to find a solution of the inverse source problem. At each iteration step the predicted data are calculated by a forward model for light propagation based on the equation of radiative transfer. The unknown source distribution is updated along a search direction that is provided by an adjoint differentiation technique.
KW - Adjoint differentiation
KW - Algorithmic differentiation
KW - Discrete ordinates method
KW - Equation of radiative transfer
KW - Fluorescence imaging
KW - Fluorescence tomography
KW - Inverse source problem
KW - Molecular imaging
KW - Scattering media
KW - Tissue optics
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U2 - 10.1016/j.jcp.2004.07.008
DO - 10.1016/j.jcp.2004.07.008
M3 - Article
AN - SCOPUS:8744226110
SN - 0021-9991
VL - 202
SP - 323
EP - 345
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 1
ER -