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An information-theoretic treatment of fluorescent molecular tomography

机译：荧光分子层析成像的信息理论处理

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摘要

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 three-dimensional 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.
机译：使用称为荧光分子层析成像（FMT）的非侵入式光学手段对组织中的荧光分子进行深度解析成像，已在临床前和临床研究中得到应用。尽管FMT提供了独特且负担得起的功能成像功能，但由于组织中光传播的扩散性，其分辨率受到限制。在本文中，我们提供了一个使用信息理论概念研究FMT分辨率的框架。具体来说，我们分析了一组排放测量中存在的有用信息的数量。测量的信息内容直接影响可以在重建的三维荧光图像中实现的实际分辨率。进一步讨论了此信息内容与测量几何形状之间的关系，其中显示出扩展测量大小并不一定会增加信息内容。为多输入多输出通道定义的容量概念被应用于FMT的线性模型。假设体素中荧光团浓度的先验概率分布均匀一致，我们得出FMT系统矩阵信息容量的表达式。此容量实质上表示可以从排放测量中提取的数据量的上限。使用所提出的框架，在连续波FMT系统中分析了各种检测器配置对插入基于凝胶的组织体模中的荧光管的分辨能力。可以看出，不同尺度的源-探测器配置的信息容量直接影响重建荧光图像中分辨率的性能。

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