Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography

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, an...

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Detalles Bibliográficos
Autores principales: Han, Weimin, Cong, Wenxiang, Wang, Ge
Formato: Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2006
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2324026/
https://www.ncbi.nlm.nih.gov/pubmed/23165038
http://dx.doi.org/10.1155/IJBI/2006/54390
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author Han, Weimin
Cong, Wenxiang
Wang, Ge
author_facet Han, Weimin
Cong, Wenxiang
Wang, Ge
author_sort Han, Weimin
collection PubMed
description 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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spelling pubmed-23240262008-04-22 Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography Han, Weimin Cong, Wenxiang Wang, Ge Int J Biomed Imaging Article 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. Hindawi Publishing Corporation 2006 2006-12-12 /pmc/articles/PMC2324026/ /pubmed/23165038 http://dx.doi.org/10.1155/IJBI/2006/54390 Text en Copyright © 2006 W. Han et al. https://creativecommons.org/licenses/by/3.0/ 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.
spellingShingle Article
Han, Weimin
Cong, Wenxiang
Wang, Ge
Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography
title Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography
title_full Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography
title_fullStr Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography
title_full_unstemmed Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography
title_short Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography
title_sort mathematical study and numerical simulation of multispectral bioluminescence tomography
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2324026/
https://www.ncbi.nlm.nih.gov/pubmed/23165038
http://dx.doi.org/10.1155/IJBI/2006/54390
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AT congwenxiang mathematicalstudyandnumericalsimulationofmultispectralbioluminescencetomography
AT wangge mathematicalstudyandnumericalsimulationofmultispectralbioluminescencetomography

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