Studies of a mathematical model for temperature-modulated bioluminescence tomography

Weimin Han; Haiou Shen; Kamran Kazmi; Wenxiang Cong; Ge Wang

doi:10.1080/00036810802713834

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Studies of a mathematical model for temperature-modulated bioluminescence tomography

Journal article

Peer reviewed

Studies of a mathematical model for temperature-modulated bioluminescence tomography

Weimin Han, Haiou Shen, Kamran Kazmi, Wenxiang Cong and Ge Wang

Applicable Analysis, Vol.88(2), pp.193-213

02/01/2009

DOI: 10.1080/00036810802713834

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Abstract

We introduce and study a mathematical model for temperature-modulated bioluminescence tomography (TBT). The model is capable of self-adjusting values of experimental parameters that are used in the formulation. Major theoretical results of this article include: Solution existence of the model, convergence of numerical solutions, an iterative scheme based on linearization, studies of the solution limiting behaviours when normalized total energy function and/or some or all the energy percentages in individual spectral bands are known exactly. Several numerical examples are included to illustrate the improvement of the accuracy of the reconstructed bioluminescent source distribution due to the employment of measurements from multiple temperature distributions.

solution existence

limiting behaviour

finite element method

temperature-modulated bioluminescence tomography (TBT)

convergence

Details

Title: Subtitle: Studies of a mathematical model for temperature-modulated bioluminescence tomography
Creators: Weimin Han - Department of Mathematics , University of Iowa
Haiou Shen - Division of Biomedical Imaging , Virginia Tech-Wake Forest University School of Biomedical Engineering and Sciences, Virginia Polytechnic Institute and State University
Kamran Kazmi - Department of Mathematics , University of Wisconsin
Wenxiang Cong - Division of Biomedical Imaging , Virginia Tech-Wake Forest University School of Biomedical Engineering and Sciences, Virginia Polytechnic Institute and State University
Ge Wang - Division of Biomedical Imaging , Virginia Tech-Wake Forest University School of Biomedical Engineering and Sciences, Virginia Polytechnic Institute and State University
Resource Type: Journal article
Publication Details: Applicable Analysis, Vol.88(2), pp.193-213
DOI: 10.1080/00036810802713834
ISSN: 0003-6811
eISSN: 1563-504X
Publisher: Taylor & Francis Group
Language: English
Date published: 02/01/2009
Academic Unit: Mathematics
Record Identifier: 9983985916202771

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