Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography

Han, Weimin; Cong, Wenxiang; Wang, Ge

doi:https://doi.org/10.1155/IJBI/2006/54390

International Journal of Biomedical Imaging

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Volume 2006 | Article ID 054390 | https://doi.org/10.1155/IJBI/2006/54390

Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography

Weimin Han,¹Wenxiang Cong,²and Ge Wang²

Academic Editor: Ming Jiang

Received08 Apr 2006

Revised07 Aug 2006

Accepted07 Sept 2006

Published12 Dec 2006

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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Copyright © 2006 Weimin Han et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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