12 February 2009 An information-theoretic treatment of fluorescent molecular tomography
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Abstract
Depth-resolved imaging of fluorescent molecules in tissue using a non-invasive optical modality called fluorescent molecular tomography (FMT) has found applications in pre-clinical and clinical studies. While FMT offers unique and affordable functional imaging capabilities, its resolution is limited due to the diffusive nature of light propagation in tissue. In this paper we offer a framework for investigating the resolution of FMT using information-theoretic concepts. Specifically, we analyze the amount of useful information that exists in a set of emission measurements. The information content of the measurements directly affects the actual resolution that can be achieved in the reconstructed threedimensional fluorescence images. The relationship between this information content and the measurement geometry is further discussed where it is shown that expanding the measurement size does not necessarily increase the information content. The concept of capacity as defined for multi-input multi-output channels is applied to the linear model of FMT. Assuming a uniform non-zero a priori probability distribution for the fluorophore concentrations in the volume voxels, we derive an expression for the information capacity of the FMT system matrix. This capacity essentially indicates an upper limit on the amount of data that can be extracted from emission measurements. The capabilities of various detector configurations in resolving fluorescent tubes inserted in a gel-based tissue phantom are analyzed in a continuous-wave FMT system using the proposed framework. It is observed that the information capacity of source-detector configurations of different scales directly affects the performance in terms of resolution in the reconstructed fluorescent images.
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Pouyan Mohajerani, Ali Behrooz, Ali Adibi, "An information-theoretic treatment of fluorescent molecular tomography", Proc. SPIE 7174, Optical Tomography and Spectroscopy of Tissue VIII, 717413 (12 February 2009); doi: 10.1117/12.808521; https://doi.org/10.1117/12.808521
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