基于卡尔曼滤波的荧光剂药代动力学层析优化  

Optimization of Fluorescence Pharmacokinetic Tomography Based on Kalman Filtering

作　　者：程楠 张丽敏[1,3] 赵志超 潘英雪 王欣 周仲兴[1,3] 高峰[1,3] CHENG Nan;ZHANG Limin;ZHAO Zhichao;PAN Yingxue;WANG Xin;ZHOU Zhongxing;GAO Feng(College of Precision Instrument and Optoelectronics Engineering,Tianjin University,Tianjin 300072,China;Tianjin International Engineering Institute,Tianjin University,Tianjin 300072,China;Tianjin Key Laboratory of Biomedical Detecting Techniques and Instruments,Tianjin 300072,China;School of Great Health and Intelligent Engineering,Chengdu Medical College,Chengdu 610500,China)

机构地区：[1]天津大学精密仪器与光电子工程学院,天津300072 [2]天津大学国际工程师学院,天津300072 [3]天津市生物医学检测技术与仪器重点实验室,天津300072 [4]成都医学院大健康与智能工程学院,成都610500

出　　处：《光子学报》2021年第12期156-167,共12页Acta Photonica Sinica

基　　金：国家自然科学基金(Nos.82071971,81671728,81801745,81871393,62075156,81971656),天津市基金(Nos.18JCYBJC29400,19JCYBJC28600)。

摘　　要：针对目前常用的扩展卡尔曼滤波技术由于舍弃了系统方程求导的高阶项,使得荧光剂药代动力学参数重建精度下降的缺点,研究发展了基于二室模型的二阶自适应扩展卡尔曼滤波技术并引入无迹卡尔曼滤波技术用于荧光剂药代动力学参数重建。通过数值模拟和在体实验对基于一阶自适应扩展卡尔曼滤波、二阶自适应扩展卡尔曼滤波和无迹卡尔曼滤波的三种方法进行对比和评估,结果均表明,基于一阶和二阶自适应扩展卡尔曼滤波方法获取的荧光剂药代动力学参数重建结果相近,而基于无迹卡尔曼滤波方法获取的参数在量化度和对比度噪声比上均具有明显优势。该结果与无迹卡尔曼滤波由于没有忽略高阶项而具有更高精度相一致,证明了所提方法的可行性和有效性。To improve the accuracy of the commonly-used Extended Kalman Filter that omits the high-order terms of the derivation of the system equations,the second-order Adaptive Extended Kalman Filter(AEKF)was furtherly developed and Unscented Kalman Filter(UKF)was introduced based on two-compartment model.The results obtained by first-order AEKF,second-order AEKF and UKF based on numerical simulations and in vivo experiments were assessed and compared.The results demonstrate that the fluorescence pharmacokinetic parameter reconstruction based on first-order AEKF and second-order AEKF are similar,while the parameters obtained based on UKF are optimal in terms of quantitativeness and contrast-to-noise ratio,which is consistent with the theory that UKF should have higher accuracy because it does not ignore higher-order terms,and validate the feasibility and effectiveness of our proposed methods.

关 键 词：光学成像 扩散荧光层析 荧光剂药代动力学层析 吲哚菁绿 二室模型 扩展卡尔曼滤波 无迹卡尔曼滤波 

分 类 号：R318.51[医药卫生—生物医学工程]