Diffuse optical tomographic imaging of biological media by time-dependent parabolic SP(N) equations: a two-dimensional study.

Diffuse optical tomographic imaging of biological media by time-dependent parabolic SP(N) equations: a two-dimensional study.
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DOI:
10.1117/1.jbo.17.8.086012
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发表时间:
2012-08
影响因子:
3.5
通讯作者:
Jorge Bouza Domínguez;Y. Bérubé-Lauzière
Jorge Bouza Domínguez;Y. Bérubé-Lauzière
中科院分区:
医学3区
文献类型:
--
作者:
Jorge Bouza Domínguez;Y. Bérubé-Lauzière

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我们调查的问题,检索的光学性质(吸收和散射)的生物组织从一组光学测量。实现了一种结合约束优化方法的漫射光学层析成像(DOT)算法。为了提高图像质量,DOT算法利用全时域数据。采用含时抛物型简化球谐方程(TD-pSPN)作为正演模型。在计算目标函数的梯度时,采用了随时间变化的伴随变量。模拟小动物成像嵌入式夹杂物的小几何介质的数值实验进行。在实验中,光学系数值在近红外光谱的实际值范围内变化,包括高吸收值。单参数和多参数重建进行扩散方程和高阶的TD-pSPN方程。实验结果表明,基于TD-pSPN模型的DOT算法优于DE算法,能够在空间和定量上准确地重建生物介质的光学参数分布。
We investigate the problem of retrieving the optical properties (absorption and scattering) of biological tissue from a set of optical measurements. A diffuse optical tomography (DOT) algorithm that incorporates constrained optimization methods is implemented. To improve image quality, the DOT algorithm exploits full time-domain data. The time-dependent parabolic simplified spherical harmonics equations (TD-pSPN) are used as the forward model. Time-dependent adjoint variables are resorted to in the calculation of the gradient of the objective function. Several numerical experiments for small geometric media with embedded inclusions that mimic small animal imaging are performed. In the experiments, optical coefficient values are varied in the range of realistic values for the near-infrared spectrum, including high absorption values. Single and multiparameter reconstructions are performed with the diffusion equation and higher orders of the TD-pSPN equations. The results suggest the DOT algorithm based on the TD-pSPN model outperforms the DE, and accurately reconstructs optical parameter distributions of biological media both spatially and quantitatively.