Columbia University, New York, New York 10027, USA.
Med Phys. 2010 Jan;37(1):329-38. doi: 10.1118/1.3273034.
Bioluminescence imaging is a research tool for studying gene expression levels in small animal models of human disease. Bioluminescence light, however, is strongly scattered in biological tissue and no direct image of the light-emitting reporter probe's location can be obtained. Therefore, the authors have developed a linear image reconstruction method for bioluminescence tomography (BLT) that recovers the three-dimensional spatial bioluminescent source distribution in small animals.
The proposed reconstruction method uses third-order simplified spherical harmonics (SP3) solutions to the equation of radiative transfer for modeling the bioluminescence light propagation in optically nonuniform tissue. The SP3 equations and boundary conditions are solved with a finite-difference (FD) technique on a regular grid. The curved geometry of the animal surface was taken into account with a blocking-off region method for regular grids. Coregistered computed tomography (CT) and magnetic resonance (MR) images provide information regarding the geometry of the skin surface and internal organs. The inverse source problem is defined as an algebraic system of linear equations for the unknown source distribution and is iteratively solved given multiview and multispectral boundary measurements. The average tissue absorption parameters, which are used for the image reconstruction process, were calculated with an evolution strategy (ES) from in vivo measurements using an implanted pointlike source of known location and spectrum. Moreover, anatomical information regarding the location of the internal organs and other tissue structures within the animal's body are provided by coregistered MR images.
First, the authors recovered the wavelength-dependent absorption coefficients (average error of 14%) with the ES under ideal conditions by using a numerical mouse model. Next, they reconstructed the average absorption coefficient of a small animal by using an artificial implanted light source and the validated ES. Last, they conducted two in vivo animal experiments and recovered the spatial location of the implanted light source and the spatial distribution of a bioluminescent reporter system located in the kidneys. The source reconstruction results were coregistered to CT and MR images. They further found that accurate bioluminescence image reconstructions could be obtained when segmenting a voidlike cyst with low-scattering and absorption parameters, whereas inaccurate image reconstructions were obtained when assuming a uniform optical parameter distribution instead. The image reconstructions were completed within 23 min on a 3 GHz Intel processor.
The authors demonstrated on in vivo examples that the combination of anatomical coregistration, accurate optical tissue properties, multispectral acquisition, and a blocking-off FD-SP3 solution of the radiative transfer model significantly improves the accuracy of the BLT reconstructions.
生物发光成像是研究人类疾病小动物模型中基因表达水平的研究工具。然而,生物发光光在生物组织中强烈散射,无法直接获得发光报告探针位置的直接图像。因此,作者开发了一种用于生物发光断层扫描(BLT)的线性图像重建方法,该方法可恢复小动物中三维空间生物发光源分布。
所提出的重建方法使用三阶简化球谐函数(SP3)解来模拟非均匀组织中的生物发光光传播。SP3 方程和边界条件通过在规则网格上的有限差分(FD)技术求解。动物表面的弯曲几何形状通过用于规则网格的阻塞区域方法考虑在内。配准的计算机断层扫描(CT)和磁共振(MR)图像提供了有关皮肤表面和内部器官几何形状的信息。逆源问题被定义为用于未知源分布的代数线性方程组,并给定多视图和多光谱边界测量进行迭代求解。用于图像重建过程的平均组织吸收参数是使用具有已知位置和光谱的植入点状源的体内测量值通过进化策略(ES)计算得出的。此外,MR 图像提供了有关动物体内内部器官和其他组织结构位置的解剖学信息。
首先,作者通过使用数值老鼠模型,在理想条件下使用 ES 恢复了波长相关的吸收系数(平均误差为 14%)。接下来,他们使用人工植入光源和经过验证的 ES 重建了小动物的平均吸收系数。最后,他们进行了两项体内动物实验,并恢复了植入光源的空间位置和肾脏中生物发光报告系统的空间分布。源重建结果与 CT 和 MR 图像配准。他们进一步发现,当对具有低散射和吸收参数的空洞样囊肿进行分割时,可以获得准确的生物发光图像重建,而当假设均匀光学参数分布时,则无法获得准确的图像重建。图像重建在 3GHzIntel 处理器上完成需要 23 分钟。
作者在体内实例中证明了,解剖配准、准确的组织光学特性、多光谱采集以及辐射传输模型的 FD-SP3 解决方案的阻塞的组合,显著提高了 BLT 重建的准确性。