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International Journal of Biomedical Imaging
Volume 2006, Article ID 54390, 10 pages
http://dx.doi.org/10.1155/IJBI/2006/54390

Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography

1Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
2Division of Biomedical Imaging, VT-WFU School of Biomedical Engineering and Sciences, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA

Received 8 April 2006; Revised 7 August 2006; Accepted 7 September 2006

Academic Editor: Ming Jiang

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.

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.