磁声断层成像逆问题的研究进展
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摘要
病变组织的早期发现对病症的诊断和治疗具有重要的临床意义。生物磁声断层(magnetoacoustic tomography,MAT)成像是一种新型的无损伤功能成像技术,它融合了电磁场、超声和多物理场探测与成像技术,同时具备电阻抗成像的高对比度以及超声扫描成像的高空间分辨率的优点。它基于生物组织电导率的变化特点,能够先于结构成像技术发现组织的早期病变情况。MAT的研究包括正问题和逆问题两方面。在简介MAT成像原理的基础上,对其逆问题的研究现状进行综述,对主要方法进行归纳总结,分析目前存在的问题和可能的解决方法,最后指出未来的研究趋势。
Early detection of pathological tissues is significant for the accurate diagnosis and effective treatment of diseases in clinic. Biological magnetoacoustic tomography( MAT),a newly emerged functional imaging modality,combines the electromagnetic,ultrasonic and multi-physics detection and imaging technology. It has the advantages of good contrast of electrical impedance tomography and high spatial resolution of ultrasonography. Based on the characteristics of biological conductivity,it can detect the early pathological changes of biological tissues before structure imaging modalities. The research on MAT included both positive and inverse problems. This paper reviewed current works on the inverse problem based on a brief introduction to the imaging principle. It explained the nature of the inversion and summarized the proposed methods as well as their limitations. Also,it discussed the remaining unsolved challenges. Finally,it also pointed out possible development in the future.
Early detection of pathological tissues is significant for the accurate diagnosis and effective treatment of diseases in clinic. Biological magnetoacoustic tomography( MAT),a newly emerged functional imaging modality,combines the electromagnetic,ultrasonic and multi-physics detection and imaging technology. It has the advantages of good contrast of electrical impedance tomography and high spatial resolution of ultrasonography. Based on the characteristics of biological conductivity,it can detect the early pathological changes of biological tissues before structure imaging modalities. The research on MAT included both positive and inverse problems. This paper reviewed current works on the inverse problem based on a brief introduction to the imaging principle. It explained the nature of the inversion and summarized the proposed methods as well as their limitations. Also,it discussed the remaining unsolved challenges. Finally,it also pointed out possible development in the future.
引文
[1]董秀珍.生物电阻抗成像研究的现状与挑战[J].中国生物医学工程学报,2008,27(5):641-643,649.
[2]Xu Yuan,He Bin.Magnetoacoustic tomography with magnetic induction[J].Physics in Medicine and Biology,2005,50(21):5175-5187.
[3]Ma Qingyu,He Bin.Magnetoacoustic tomography with magnetic induction:a rigorous theory[J].IEEE Trans on Biomedical Engineering,2008,55(2):813-816.
[4]Gao Nuo,Zhu Shenghe,He Bin.Estimation of electrical conductivity distribution within the human head from magnetic flux density measurement[J].Physics in Medicine&Biology,2005,50(11):2675-2687.
[5]Xia Rongmin,Li Xu,He Bin.Reconstruction of vectorial acoustic sources in time-domain tomography[J].IEEE Trans on Medical Imaging,2009,28(5):669-675.
[6]Li Xu,He Bin.Multi-excitation magnetoacoustic tomography with magnetic induction for bioimpedance imaging[J].IEEE Trans on Medical Imaging,2010,29(10):1759-1767.
[7]Li Xu,Mariappan L,He Bin.Three-dimensional multi-excitation magnetoacoustic tomography with magnetic induction[J].Journal of Applied Physics,2010,108(12):124702.
[8]Mariappan L,He Bin.Magnetoacoustic tomography with magnetic induction:bioimepedance reconstruction through vector source imaging[J].IEEE Trans on Medical Imaging,2013,32(3):619-627.
[9]Li Xu,Xu Yuan,He Bin.Imaging electrical impedance from acoustic measurements by means of magnetoacoustic tomography with magnetic induction(MAT-MI)[J].IEEE Trans on Biomedical Engineering,2007,54(2):323-330.
[10]王浩,刘国强,江凌彤,等.感应式磁声成像中的三维电磁场正逆问题研究[J].中国生物医学工程学报,2008,27(6):582-586,640.
[11]Xia Rongmin,Li Xu,He Bin.Comparison study of three different image reconstruction algorithms for MAT-MI[J].IEEE Trans on Biomedical Engineering,2010,57(3):708-713.
[12]Li Yiling,Ma Qingyu,Zhang Dong,et al.Acoustic dipole radiation model for magnetoacoustic tomography with magnetic induction[J].Chinese Physics B,2011,20(8):084302.
[13]Sun Xiaodong,Fang Dawei,Zhang Dong,et al.Acoustic dipole radiation based electrical impedance contrast imaging approach of magnetoacoustic tomography with magnetic induction[J].Medical Physics,2013,40(5):052902.
[14]Sun Xiaodong,Zhang Feng,Ma Qingyu,et al.Acoustic dipole radiation based conductivity image reconstruction for magnetoacoustic tomography with magnetic induction[J].Applied Physics Letter,2012,100(2):024105.
[15]Sun Xiaodong,Zhou Yuqi,Ma Qingyu,et al.Radiation theory comparison for magnetoacoustic tomography with magnetic induction(MATMI)[J].Chinese Science Bulletin,2014,59(26):3246-3254.
[16]Xia Rongmin,Li Xu,He Bin.Magnetoacoustic tomographic imaging of electrical impedance with magnetic induction[J].Applied Physics Letters,2007,91(8):083903.
[17]Ma Ren,Yin Tao,Liu Zhipeng.Magnetoacoustic tomography with magnetic induction(MAT-MI)reconstruction algorithm based on characteristics of acoustic transducer[J].X-Acoustics:Imaging and Sensing,2015,1(1):48-54.
[18]Zhou Lian,Zhu Shanan.Acoustic source reconstructions in limitedview magnetoacoustic tomography with magnetic induction[C]//Proc of International Conference on Biomedical Engineering and Biotechnology.2012:708-711.
[19]Sun Xiaodong,Wang Xin,Zhou Yuqi,et al.Reception pattern influence on magnetoacoustic tomography with magnetic induction[J].Chinese Physics B,2015,24(1):014302.
[20]韩朵朵,孙正,苑园.基于滤波反投影算法的血管内光声图像重建[J].中国生物医学工程学报,2016,35(1):10-19.
[21]曹冯秋.颅脑磁感应断层成像反投影迭代重建方法研究[D].沈阳:沈阳工业大学,2015.
[22]张弛,汪源源.对小尺度生物体热声成像的反卷积重建法[J].航天医学与医学工程,2008,21(5):420-424.
[23]刘志朋.基于洛伦兹力散度声源的磁声成像关键技术研究[D].北京:北京协和医学院,2013.
[24]张伟,马任,张顺起,等.基于声学不均匀特性的磁感应磁声成像声压解析[J].北京生物医学工程,2014,33(6):558-564.
[25]Treeby B E,Zhang E Z,Cox B T.Photoacoustic tomography in absorbing acoustic media using time reversal[J].Inverse Problems,2010,26(11):115003-115020.
[26]韩朵朵,孙正,苑园.血管内光声图像的时间反演重建方法[J].中国图象图形学报,2016,21(4):442-450.
[27]李珣,Li Xu,朱善安,等.基于时间反演方法的三维磁感应磁声成像电导率重建[J].中国生物医学工程学报,2009,28(1):48-52,70.
[28]李经宇.基于磁声耦合效应的电导率图像重建研究[D].北京:北京协和医学院,2010.
[29]Z'ywica A R.Magnetoacoustic tomography with magnetic induction for biological tissue imaging:numerical modelling and simulations[J].Archives of Electrical Engineering,2016,65(1):141-150.
[30]Kuchment P.Mathematics of hybrid imaging:a brief review[M]//Mathematics.[S.l.]:Springer,2011:183-208.
[31]陈晶,刘国强,夏慧.基于矩阵模型的感应式磁声重建算法[J].现代科学仪器,2013(2):34-38.
[32]孙晓冬,周雨琦,马青玉.磁感应磁声电导率图像重建研究[J].声学技术,2013(S1):147-148.
[33]Ammari H,Boulmier S,Millien P.A mathematical and numerical framework for magnetoacoustic tomography with magnetic induction[J].Journal of Differential Equations,2015,259(10):5379-5405.
[34]陈晶,刘国强,夏慧,等.基于涡流场有旋分量的磁声电导率重建方法[J].应用声学,2014,33(2):112-119.
[35]Zhang Yang,Liu Guoqiang,He Wenjing,et al.New reconstruction method of magnetoacoustic tomography with magnetic induction[C]//Proc of Annual International Conference of the IEEE Engineering in Medicine and Biology Society.2010:3061-3064.
[36]Zhou Lian,Li Xu,Zhu Shanan,et al.Magnetoacoustic tomography with magnetic induction(MAT-MI)for breast tumor imaging:numerical modeling and simulation[J].Physics in Medicine&Biology,2011,56(7):1967-1983.
[37]周廉,朱善安,贺斌.三维磁感应磁声成像的新算法研究[J].电子学报,2013,41(2):288-294.
[38]Zhou Lian,Zhu Shanan,He Bin.A reconstruction algorithm of magnetoacoustic tomography with magnetic induction for an acoustically inhomogeneous tissue[J].IEEE Trans on Biomedical Engineering,2014,61(6):1739-1746.
[39]张伟.声学非均匀媒介的磁感应磁声成像重建算法[D].北京:北京协和医学院,2015.
[40]Mariappan L,Li Xu,He Bin.B-scan based acoustic source reconstruction for magnetoacoustic tomography with magnetic induction(MATMI)[J].IEEE Trans on Biomedical Engineering,2011,58(3):713-720.
[41]王世刚,崔栋,武莹莹,等.基于声换能器的磁感应磁声成像声源重建仿真研究[J].中国医疗器械杂志,2015,39(1):13-15.
[42]Zhou Yuqi,Wang Jiawei,Sun Xiaodong,et al.Transducer selection and application in magnetoacoustic tomography with magnetic induction[J].Journal of Applied Physics,2016,119(9):094903.
[43]马虹霞,刘志朋,张顺起,等.基于不同几何模型的感应式磁声成像声源重建仿真[J].中国生物医学工程学报,2011,30(1):40-45.
[44]Wen H,Wiesler D G,Tveten A,et al.High sensitivity fiber optic ultrasound sensors for medical imaging applications[J].Ultrasonic Imaging,1998,20(2):102-112.
[45]Xu Minghua,Mang L V.Time-domain reconstruction for thermoacoustic tomography in a spherical geometry[J].IEEE Trans on Medical Imaging,2002,21(7):814-822.
[2]Xu Yuan,He Bin.Magnetoacoustic tomography with magnetic induction[J].Physics in Medicine and Biology,2005,50(21):5175-5187.
[3]Ma Qingyu,He Bin.Magnetoacoustic tomography with magnetic induction:a rigorous theory[J].IEEE Trans on Biomedical Engineering,2008,55(2):813-816.
[4]Gao Nuo,Zhu Shenghe,He Bin.Estimation of electrical conductivity distribution within the human head from magnetic flux density measurement[J].Physics in Medicine&Biology,2005,50(11):2675-2687.
[5]Xia Rongmin,Li Xu,He Bin.Reconstruction of vectorial acoustic sources in time-domain tomography[J].IEEE Trans on Medical Imaging,2009,28(5):669-675.
[6]Li Xu,He Bin.Multi-excitation magnetoacoustic tomography with magnetic induction for bioimpedance imaging[J].IEEE Trans on Medical Imaging,2010,29(10):1759-1767.
[7]Li Xu,Mariappan L,He Bin.Three-dimensional multi-excitation magnetoacoustic tomography with magnetic induction[J].Journal of Applied Physics,2010,108(12):124702.
[8]Mariappan L,He Bin.Magnetoacoustic tomography with magnetic induction:bioimepedance reconstruction through vector source imaging[J].IEEE Trans on Medical Imaging,2013,32(3):619-627.
[9]Li Xu,Xu Yuan,He Bin.Imaging electrical impedance from acoustic measurements by means of magnetoacoustic tomography with magnetic induction(MAT-MI)[J].IEEE Trans on Biomedical Engineering,2007,54(2):323-330.
[10]王浩,刘国强,江凌彤,等.感应式磁声成像中的三维电磁场正逆问题研究[J].中国生物医学工程学报,2008,27(6):582-586,640.
[11]Xia Rongmin,Li Xu,He Bin.Comparison study of three different image reconstruction algorithms for MAT-MI[J].IEEE Trans on Biomedical Engineering,2010,57(3):708-713.
[12]Li Yiling,Ma Qingyu,Zhang Dong,et al.Acoustic dipole radiation model for magnetoacoustic tomography with magnetic induction[J].Chinese Physics B,2011,20(8):084302.
[13]Sun Xiaodong,Fang Dawei,Zhang Dong,et al.Acoustic dipole radiation based electrical impedance contrast imaging approach of magnetoacoustic tomography with magnetic induction[J].Medical Physics,2013,40(5):052902.
[14]Sun Xiaodong,Zhang Feng,Ma Qingyu,et al.Acoustic dipole radiation based conductivity image reconstruction for magnetoacoustic tomography with magnetic induction[J].Applied Physics Letter,2012,100(2):024105.
[15]Sun Xiaodong,Zhou Yuqi,Ma Qingyu,et al.Radiation theory comparison for magnetoacoustic tomography with magnetic induction(MATMI)[J].Chinese Science Bulletin,2014,59(26):3246-3254.
[16]Xia Rongmin,Li Xu,He Bin.Magnetoacoustic tomographic imaging of electrical impedance with magnetic induction[J].Applied Physics Letters,2007,91(8):083903.
[17]Ma Ren,Yin Tao,Liu Zhipeng.Magnetoacoustic tomography with magnetic induction(MAT-MI)reconstruction algorithm based on characteristics of acoustic transducer[J].X-Acoustics:Imaging and Sensing,2015,1(1):48-54.
[18]Zhou Lian,Zhu Shanan.Acoustic source reconstructions in limitedview magnetoacoustic tomography with magnetic induction[C]//Proc of International Conference on Biomedical Engineering and Biotechnology.2012:708-711.
[19]Sun Xiaodong,Wang Xin,Zhou Yuqi,et al.Reception pattern influence on magnetoacoustic tomography with magnetic induction[J].Chinese Physics B,2015,24(1):014302.
[20]韩朵朵,孙正,苑园.基于滤波反投影算法的血管内光声图像重建[J].中国生物医学工程学报,2016,35(1):10-19.
[21]曹冯秋.颅脑磁感应断层成像反投影迭代重建方法研究[D].沈阳:沈阳工业大学,2015.
[22]张弛,汪源源.对小尺度生物体热声成像的反卷积重建法[J].航天医学与医学工程,2008,21(5):420-424.
[23]刘志朋.基于洛伦兹力散度声源的磁声成像关键技术研究[D].北京:北京协和医学院,2013.
[24]张伟,马任,张顺起,等.基于声学不均匀特性的磁感应磁声成像声压解析[J].北京生物医学工程,2014,33(6):558-564.
[25]Treeby B E,Zhang E Z,Cox B T.Photoacoustic tomography in absorbing acoustic media using time reversal[J].Inverse Problems,2010,26(11):115003-115020.
[26]韩朵朵,孙正,苑园.血管内光声图像的时间反演重建方法[J].中国图象图形学报,2016,21(4):442-450.
[27]李珣,Li Xu,朱善安,等.基于时间反演方法的三维磁感应磁声成像电导率重建[J].中国生物医学工程学报,2009,28(1):48-52,70.
[28]李经宇.基于磁声耦合效应的电导率图像重建研究[D].北京:北京协和医学院,2010.
[29]Z'ywica A R.Magnetoacoustic tomography with magnetic induction for biological tissue imaging:numerical modelling and simulations[J].Archives of Electrical Engineering,2016,65(1):141-150.
[30]Kuchment P.Mathematics of hybrid imaging:a brief review[M]//Mathematics.[S.l.]:Springer,2011:183-208.
[31]陈晶,刘国强,夏慧.基于矩阵模型的感应式磁声重建算法[J].现代科学仪器,2013(2):34-38.
[32]孙晓冬,周雨琦,马青玉.磁感应磁声电导率图像重建研究[J].声学技术,2013(S1):147-148.
[33]Ammari H,Boulmier S,Millien P.A mathematical and numerical framework for magnetoacoustic tomography with magnetic induction[J].Journal of Differential Equations,2015,259(10):5379-5405.
[34]陈晶,刘国强,夏慧,等.基于涡流场有旋分量的磁声电导率重建方法[J].应用声学,2014,33(2):112-119.
[35]Zhang Yang,Liu Guoqiang,He Wenjing,et al.New reconstruction method of magnetoacoustic tomography with magnetic induction[C]//Proc of Annual International Conference of the IEEE Engineering in Medicine and Biology Society.2010:3061-3064.
[36]Zhou Lian,Li Xu,Zhu Shanan,et al.Magnetoacoustic tomography with magnetic induction(MAT-MI)for breast tumor imaging:numerical modeling and simulation[J].Physics in Medicine&Biology,2011,56(7):1967-1983.
[37]周廉,朱善安,贺斌.三维磁感应磁声成像的新算法研究[J].电子学报,2013,41(2):288-294.
[38]Zhou Lian,Zhu Shanan,He Bin.A reconstruction algorithm of magnetoacoustic tomography with magnetic induction for an acoustically inhomogeneous tissue[J].IEEE Trans on Biomedical Engineering,2014,61(6):1739-1746.
[39]张伟.声学非均匀媒介的磁感应磁声成像重建算法[D].北京:北京协和医学院,2015.
[40]Mariappan L,Li Xu,He Bin.B-scan based acoustic source reconstruction for magnetoacoustic tomography with magnetic induction(MATMI)[J].IEEE Trans on Biomedical Engineering,2011,58(3):713-720.
[41]王世刚,崔栋,武莹莹,等.基于声换能器的磁感应磁声成像声源重建仿真研究[J].中国医疗器械杂志,2015,39(1):13-15.
[42]Zhou Yuqi,Wang Jiawei,Sun Xiaodong,et al.Transducer selection and application in magnetoacoustic tomography with magnetic induction[J].Journal of Applied Physics,2016,119(9):094903.
[43]马虹霞,刘志朋,张顺起,等.基于不同几何模型的感应式磁声成像声源重建仿真[J].中国生物医学工程学报,2011,30(1):40-45.
[44]Wen H,Wiesler D G,Tveten A,et al.High sensitivity fiber optic ultrasound sensors for medical imaging applications[J].Ultrasonic Imaging,1998,20(2):102-112.
[45]Xu Minghua,Mang L V.Time-domain reconstruction for thermoacoustic tomography in a spherical geometry[J].IEEE Trans on Medical Imaging,2002,21(7):814-822.