International Journal of Biomedical Imaging 
Volume 2006 (2006), Article ID 54390, 10 pages
doi:10.1155/IJBI/2006/54390

Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography

Weimin Han,1 Wenxiang Cong,2 and Ge Wang2

 1Department of Mathematics, University of Iowa, Iowa City 52242, IA, USA
2Division of Biomedical Imaging, VT-WFU School of Biomedical Engineering and Sciences, Virginia Polytechnic Institute and State University, Blacksburg 24061, VA, USA
Received 8 April 2006; Revised 7 August 2006; Accepted 7 September 2006

Recommended by Ming Jiang

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.