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.
Highlights
Engineered mice are popular laboratory models for numerous studies directly relevant to the human healthcare
This paper provides a theoretical study of the multispectral bioluminescence tomography (BLT) model
Multispectral bioluminescence tomography is a new development in optical imaging and has a great potential
Summary
Engineered mice are popular laboratory models for numerous studies directly relevant to the human healthcare. When the corresponding substrate is administered into a mouse, the resultant biochemical reaction generates bioluminescent light at visible and infrared wavelengths. These bioluminescent photons carry important information about tumor burden, micro-metastases, infectious loci, therapeutic gene delivery, and so on. Ω0 be a measurable subset of Ω (Ω0 = Ω is allowed) where the light source exists. The pointwise formulation of the BLT problem is to determine the source function from (1)–(4) for 1 i i0. This paper is on a study of the multispectral BLT Problem 1. We end the paper by a concluding remark summarizing the main contributions of the paper
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