Analytical solutions for diffuse fluorescence spectroscopy/imaging in biological tissues. Part I: zero and extrapolated boundary conditions.
Analytical solutions for diffuse fluorescence spectroscopy/imaging in biological tissues. Part I: zero and extrapolated boundary conditions.
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DOI：
10.1364/josaa.30.000537
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发表时间：
2013-03
期刊：
影响因子：
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通讯作者：
K. R. Ayyalasomayajula;P. Yalavarthy
中科院分区：
文献类型：
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作者：
K. R. Ayyalasomayajula;P. Yalavarthy
漫射荧光光谱/成像的数学模型是用耦合偏微分方程（PDEs）来表示的，它描述了软性生物组织中的激发和发射光的传播。在这项工作中，这些耦合偏微分方程的一般封闭形式解是在使用零和外推边界条件的格林函数方法的正则几何的情况下导出的。在时域和频域情况下，还推导出了各种规则几何形状的具体解以及典型数据类型，如综合强度和平均飞行时间。
The mathematical model for diffuse fluorescence spectroscopy/imaging is represented by coupled partial differential equations (PDEs), which describe the excitation and emission light propagation in soft biological tissues. The generic closed-form solutions for these coupled PDEs are derived in this work for the case of regular geometries using the Green's function approach using both zero and extrapolated boundary conditions. The specific solutions along with the typical data types, such as integrated intensity and the mean time of flight, for various regular geometries were also derived for both time- and frequency-domain cases.