三维偏振光成像的时域差分模拟
Finite-Difference Time-Domain Simulation for Three-dimensional Polarized Light Imaging
摘要：
三维偏振光成像（3D-PLI）是一种利用显微镜下脑组织切片的双折射测量重建死后人脑神经纤维结构的新技术。为了更好地理解重构的纤维取向如何与底层纤维结构相关，采用了数值模拟。在这里，我们提出了两个互补的模拟方法，再现整个3D-PLI分析：首先，我们给出了一个简短的回顾的模拟方法，使用琼斯矩阵演算模型的双折射髓鞘。之后，我们介绍了一个更复杂的仿真工具：一个3D麦克斯韦求解器的基础上的时域差分算法，模拟电磁光波通过脑组织的传播。我们证明，麦克斯韦求解器是一个有价值的工具，以更好地了解偏振光与脑组织的相互作用，并提高3D-PLI提取的纤维方向的准确性。
英文摘要：
Three-dimensional Polarized Light Imaging (3D-PLI) is a promising technique to reconstruct the nerve fiber architecture of human post-mortem brains from birefringence measurements of histological brain sections with micrometer resolution. To better understand how the reconstructed fiber orientations are related to the underlying fiber structure, numerical simulations are employed. Here, we present two complementary simulation approaches that reproduce the entire 3D-PLI analysis: First, we give a short review on a simulation approach that uses the Jones matrix calculus to model the birefringent myelin sheaths. Afterwards, we introduce a more sophisticated simulation tool: a 3D Maxwell solver based on a Finite-Difference Time-Domain algorithm that simulates the propagation of the electromagnetic light wave through the brain tissue. We demonstrate that the Maxwell solver is a valuable tool to better understand the interaction of polarized light with brain tissue and to enhance the accuracy of the fiber orientations extracted by 3D-PLI.
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