Analytical Green’s function for the fluorescence simplified spherical harmonics equations in turbid medium

Analytical Green’s function for the fluorescence simplified spherical harmonics equations in turbid medium
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浑浊介质中荧光简化球谐方程的解析格林函数

DOI:
10.1117/1.jbo.19.7.070503
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发表时间:
2014-07
影响因子:
3.5
通讯作者:
Feng Gao
Feng Gao
中科院分区:
医学3区
文献类型:
--
作者:
Limin Zhang;Xi Yi;Jiao Li;Huijuan Zhao;Feng Gao

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抽象的。由于激发光和发射光的过程以及注量率的复合矩都是通过耦合方程来描述的,因此在浑浊介质中编写荧光简化球谐函数(SPN)方程的解析表达式更加复杂。基于特征分解策略和成熟的扩散近似(DA)分析方法,我们使用格林函数方法推导了规则几何形状的荧光 SPN 方程的解析解。通过与荧光DA和蒙特卡罗模拟结果的比较,我们展示了我们提出的方法的有效性以及SPN方程在小源-探测器分离和高吸收的情况下的预期优势。
Abstract. It is more complicated to write the analytical expression for the fluorescence simplified spherical harmonics (SPN) equations in a turbid medium, since both the processes of the excitation and emission light and the composite moments of the fluence rate are described by coupled equations. Based on an eigen-decomposition strategy and the well-developed analytical methods of diffusion approximation (DA), we derive the analytical solutions to the fluorescence SPN equations for regular geometries using the Green’s function approach. By means of comparisons with the results of fluorescence DA and Monte Carlo simulations, we have shown the effectiveness of our proposed method and the expected advantages of the SPN equations in the case of small source–detector separation and high absorption.
用于频域荧光分子成像的并行自适应有限元简化球谐函数近似求解器。
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