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Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography
Journal article   Open access   Peer reviewed

Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography

Weimin Han, Wenxiang Cong and Ge Wang
International journal of biomedical imaging, Vol.2006, pp.54390-10
01/01/2006
DOI: 10.1155/IJBI/2006/54390
PMCID: PMC2324026
PMID: 23165038
url
https://doi.org/10.1155/IJBI/2006/54390View
Published (Version of record) Open Access

Abstract

Multispectral bioluminescence tomography (BLT) attracts increasingly more attention in the area of optical molecular imaging. In this paper, we analyze the properties of the solutions to the regularized and discretized multispectral BLT problems. First, we show the solution existence, uniqueness, and its continuous dependence on the data. Then, we introduce stable numerical schemes and derive error estimates for numerical solutions. We report some numerical results to illustrate the performance of the numerical methods on the quality of multispectral BLT reconstruction.

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