Sensitivity analysis for small imaging domains using the frequency-domain transport equation

机译：利用频域传输方程对小成像域进行灵敏度分析

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摘要

Optical tomography of small tissue volumes, as they are encountered in rodent or finger imaging, holds great promise as the signal-to-noise levels are usually high and the spatial resolutions are much better than that of large imaging domains. To accurately model the light propagation in these small domains, radiative transport equations have to be solved directly. In the study at hand, we use the frequency-domain equation of radiative transfer (ERT) to perform a sensitivity study. We determine optimal source-modulation frequencies for which variations in optical properties, size, and location of a tissue inhomogeneity lead to maximal changes in the amplitude and phase of the measured signal. These results will be useful in designed experiments and optical tomographic imaging system.

机译：在啮齿动物或手指成像中遇到的小组织体积的光学层析成像具有很大的前景，因为信噪比水平通常很高，并且空间分辨率比大型成像域要好得多。为了准确地模拟光在这些小域中的传播，必须直接求解辐射传输方程。在当前的研究中，我们使用辐射转移的频域方程（ERT）进行敏感性研究。我们确定最佳的源调制频率，这些频率的光学特性，尺寸和组织不均匀性位置的变化会导致被测信号的幅度和相位发生最大变化。这些结果将对设计的实验和光学层析成像系统有用。

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来源
《Diffuse Optical Imaging of Tissue; Progress in Biomedical Optics and Imaging; vol.8 no.42; Proceedings of SPIE-The International Society for Optical Engineering; vol.6629》|2007年|66291Q.1-66291Q.11|共11页
会议地点 Munich(DE)
作者
Xuejun Gu; Kui Ren; Andreas H. Hielscher;
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作者单位

Department of Biomedical Engineering, Columbia University, NY 10027;

Department of Applied Physics and Applied Mathmatics, Columbia University, NY 10027;

Department of Radiology, Columbia University, NY 10027;

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原文格式 PDF
正文语种 eng
中图分类光、激光生物医学;
关键词
optical tomography; equation of radiative transfer; finite volume method; signal-to-noise;

机译：光学层析成像辐射传递方程；有限体积法信噪比;

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专利

1. Frequency-domain sensitivity analysis for small imaging domains using the equation of radiative transfer [J] . Xuejun Gu, Kui Ren, Andreas H. Hielscher Applied optics . 2007,第10期

机译：使用辐射传递方程对小成像域进行频域灵敏度分析
2. Perturbation theory for the diffusion equation by use of the moments of the generalized temporal point-spread function. III. Frequency-domain and time-domain results temporal point-spread function. III. Frequency-domain and time-domain results [J] . Angelo Sassaroli Fabrizio Martelli and Sergio Fantini Journal of the Optical Society of America A: Optics, Image Science & Vision . 2010,第7期

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3. Light transport in biological tissue using three-dimensional frequency-domain simplified spherical harmonics equations. [J] . Chu M, Vishwanath K, Klose AD, Physics in medicine and biology. . 2009,第8期

机译：使用三维频域简化的球谐方程，在生物组织中进行光传输。
4. Sensitivity analysis for small imaging domains using the frequency-domain transport equation [C] . Xuejun Gu, Kui Ren, Andreas H. Hielscher Conference on Diffuse Optical Imaging of Tissue . 2007

机译：使用频域传输方程的小型成像域的灵敏度分析
5. Applications of global seismic tomography and analysis of variational methods for the solution of the linearly attenuating frequency-domain wave equation. [D] . Johnson, Stuart George. 1997

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7. A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations (Int. J. Circ. Theor. Appl.(DOI: 10.1002/cta.440)) [O] . F. L. Traversa, F. Bonani, S. Donati Guerrieri 2009

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8. A finite-difference, frequency-domain numerical scheme for the solution of the linearized unsteady Euler equations [R] . Scott, James R., Atassi, Hafiz M. 1991

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Sensitivity analysis for small imaging domains using the frequency-domain transport equation

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