Radiative transport in the delta-P1 approximation for semi-infinite turbid media
Radiative transport in the delta-P1 approximation for semi-infinite turbid media
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DOI：
10.1118/1.2828184
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发表时间：
2008-02-01
期刊：
影响因子：
3.8
通讯作者：
Venugopalan, Vasan
中科院分区：
文献类型：
--
作者：
Seo, InSeok;Hayakawa, Carole K.;Venugopalan, Vasan
我们已经开发了一个解析解的空间分辨漫反射率内的delta-P-1近似的辐射传输方程的半无限均匀混浊介质。我们评估此解决方案的性能，通过比较其预测与Monte Carlo模拟和标准扩散近似。我们证明，三角洲P-1近似提供了准确的估计空间分辨漫反射率在低和高散射介质。我们还开发了一个多阶段的非线性优化算法，其中的delta-P-1近似提供的辐射输运估计被用来恢复的光学吸收（μ（α）），减少散射（μ（s ′），和单散射不对称系数（g（1））的液体和固体幻影从空间分辨漫反射率的实验测量。具体地，Δ-P-1近似可用于恢复μ（α）、μ（ε）和g（1），对于基于内消旋体和基于二氢吡喃的组织体模两者，误差分别在+/-22%、+/-18%和+/-17%内。这些幻影跨越光学性质范围4 <（μ（s λ ′/μ（α））< 117。使用这些相同的测量，标准扩散近似的应用导致mu（a）和mu（s）'的恢复，误差分别为+/-29%和+/-25%。总的来说，这些结果表明，Δ-P-1近似提供了准确的辐射传输估计，其可以用于准确地确定生物组织的光学性质，特别是在组织可能显示出中等/低的减少的散射与吸收的比率（μ（s）/μ（a））的光谱区域中。(C)2008年美国医学物理学家协会。
We have developed an analytic solution for spatially resolved diffuse reflectance within the delta-P-1 approximation to the radiative transport equation for a semi-infinite homogeneous turbid medium. We evaluate the performance of this solution by comparing its predictions with those provided by Monte Carlo simulations and the standard diffusion approximation. We demonstrate that the delta-P-1 approximation provides accurate estimates for spatially resolved diffuse reflectance in both low and high scattering media. We also develop a multi-stage nonlinear optimization algorithm in which the radiative transport estimates provided by the delta-P-1 approximation are used to recover the optical absorption (mu(a)), reduced scattering (mu(s)'), and single-scattering asymmetry coefficients (g(1)) of liquid and solid phantoms from experimental measurements of spatially resolved diffuse reflectance. Specifically, the delta-P-1 approximation can be used to recover mu(a), mu(s)', and g(1) with errors within +/-22%, +/-18%, and +/-17%, respectively, for both intralipid-based and siloxane-based tissue phantoms. These phantoms span the optical property range 4 < (mu(s)'/mu(a)) < 117. Using these same measurements, application of the standard diffusion approximation resulted in the recovery of mu(a) and mu(s)' with errors of +/-29% and +/-25%, respectively. Collectively, these results demonstrate that the delta-P-1 approximation provides accurate radiative transport estimates that can be used to determine accurately the optical properties of biological tissues, particularly in spectral regions where tissue may display moderate/low ratios of reduced scattering to absorption (mu(s)'/mu(a)). (C) 2008 American Association of Physicists in Medicine.