Open AccessAn integrated solution and analysis of bioluminescence tomography and diffuse optical tomography
Author(s) -
Han Weimin,
Cong Wenxiang,
Kazmi Kamran,
Wang Ge
Publication year - 2009
Publication title -
communications in numerical methods in engineering
Language(s) - English
Resource type - Journals
eISSN - 1099-0887
pISSN - 1069-8299
DOI - 10.1002/cnm.1163
Subject(s) - bioluminescence , diffuse optical imaging , tomography , optical tomography , convergence (economics) , regularization (linguistics) , iterative reconstruction , boundary (topology) , boundary value problem , physics , computer science , optics , biological system , mathematical analysis , mathematics , computer vision , artificial intelligence , chemistry , biology , biochemistry , economics , economic growth
While diffuse optical tomography (DOT) has been studied for years, bioluminescence tomography (BLT) is emerging as a promising optical molecular imaging tool. These two modalities have different goals. DOT is for reconstruction of optical parameters of a medium such as a breast from surface measurements induced by external sources. BLT is for reconstruction of a bioluminescent source distribution in a medium such as a mouse from surface measurements induced by internal bioluminescent sources. However, an important pre‐requisite for BLT reconstruction is the knowledge on the distribution of optical parameters within the medium, which is the output of DOT. In this paper, we propose a mathematical model integrating BLT and DOT at the fundamental level; that is, performing the two types of reconstructions simultaneously instead of doing them sequentially. The model is introduced through minimizing the difference between predicted quantities and boundary measurements, as well as incorporating regularization terms. Then, we show the solution existence, introduce numerical schemes and prove convergence of the numerical solution. We also present numerical results to illustrate the utility of our approach. Copyright © 2008 John Wiley & Sons, Ltd.