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基于磁感应的磁声断层成像的声偶极辐射的电导率对比成像方法。

Acoustic dipole radiation based electrical impedance contrast imaging approach of magnetoacoustic tomography with magnetic induction.

机构信息

Key Lab of Optoelectronics of Jiangsu Province, School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China.

出版信息

Med Phys. 2013 May;40(5):052902. doi: 10.1118/1.4800639.

Abstract

PURPOSE

Different from the theory of acoustic monopole spherical radiation, the acoustic dipole radiation based theory introduces the radiation pattern of Lorentz force induced dipole sources to describe the principle of magnetoacoustic tomography with magnetic induction (MAT-MI). Although two-dimensional (2D) simulations have been studied for cylindrical phantom models, layer effects of the dipole sources within the entire object along the z direction still need to be investigated to evaluate the performance of MAT-MI for different geometric specifications. The purpose of this work is further verifying the validity and generality of acoustic dipole radiation based theory for MAT-MI with two new models in different shapes, dimensions, and conductivities.

METHODS

Based on the theory of acoustic dipole radiation, the principles of MAT-MI were analyzed with derived analytic formulae. 2D and 3D numerical studies for two new models of aluminum foil and cooked egg were conducted to simulate acoustic pressures and corresponding waveforms, and 2D images of the scanned layers were reconstructed with the simplified back projection algorithm for the waveforms collected around the models. The spatial resolution for conductivity boundary differentiation was also analyzed with different foil thickness. For comparison, two experimental measurements were conducted for a cylindrical aluminum foil phantom and a shell-peeled cooked egg. The collected waveforms and the reconstructed images of the scanned layers were achieved to verify the validation of the acoustic dipole radiation based theory for MAT-MI.

RESULTS

Despite the difference between the 2D and 3D simulated pressures, good consistence of the collected waveforms proves that wave clusters are generated by the abrupt pressure changes with bipolar vibration phases, representing the opposite polarities of the conductivity changes along the measurement direction. The configuration of the scanned layer can be reconstructed in terms of shape and size, and the conductivity boundaries are displayed in stripes with different contrast and bipolar intensities. Layer effects are demonstrated to have little influence on the collected waveforms and the reconstructed images of the scanned layers for the two new models. The experimental results have good agreements with numerical simulations, and the reconstructed 2D images provide conductivity configurations in the scanned layers of the aluminum foil and the egg models.

CONCLUSIONS

It can be concluded that the acoustic pressure of MAT-MI is produced by the divergence of the induced Lorentz force, and the collected waveforms comprise wave clusters with bipolar vibration phases and different amplitudes, providing the information of conductivity boundaries in the scanned layer. With the simplified back projection algorithm for diffraction sources, collected waveforms can be used to reconstruct 2D conductivity contrast image and the conductivity configuration in the scanned layer can be obtained in terms of shape and size in stripes with the spatial resolution of the acoustic wavelength. The favorable results further verify the validity and generality of the acoustic dipole radiation based theory and suggest the feasibility of MAT-MI as an effective electrical impedance contrast imaging approach for medical imaging.

摘要

目的

与单极球形辐射理论不同,基于偶极子辐射的理论引入了洛伦兹力感应偶极子源的辐射模式,以描述磁感应磁声断层成像(MAT-MI)的原理。虽然已经对圆柱状仿体模型进行了二维(2D)模拟,但仍需要研究沿 z 方向整个物体内部偶极子源的层效应,以评估 MAT-MI 对于不同几何规格的性能。本工作的目的是通过两个新的不同形状、尺寸和电导率的模型,进一步验证基于偶极子辐射的理论对于 MAT-MI 的有效性和通用性。

方法

基于偶极子辐射理论,利用推导的解析公式分析了 MAT-MI 的原理。针对铝箔和煮鸡蛋两个新模型进行了 2D 和 3D 数值研究,模拟了声压及其相应的波形,并使用简化的反向投影算法对围绕模型收集的波形进行了扫描层的 2D 图像重建。还分析了不同箔片厚度对电导率边界区分的空间分辨率。为了进行比较,对圆柱形铝箔仿体和去壳煮鸡蛋进行了两次实验测量。实现了对采集的波形和扫描层的重建图像的测量,以验证基于偶极子辐射的理论对于 MAT-MI 的有效性。

结果

尽管 2D 和 3D 模拟压力之间存在差异,但收集的波形具有很好的一致性,证明了波群是由具有双极振动相位的突然压力变化产生的,代表了沿测量方向的电导率变化的相反极性。可以根据形状和大小重建扫描层的配置,并且电导率边界以不同的对比度和双极强度显示为条纹。层效应对两个新模型的扫描层的采集波形和重建图像的影响很小。实验结果与数值模拟吻合较好,重建的 2D 图像提供了铝箔和鸡蛋模型扫描层中的电导率配置。

结论

可以得出结论,MAT-MI 的声压是由感应洛伦兹力的散度产生的,而采集的波形包含具有双极振动相位和不同幅度的波群,提供了扫描层中电导率边界的信息。使用衍射源的简化反向投影算法,可以使用收集的波形来重建 2D 电导率对比度图像,并以具有声波长空间分辨率的条纹形式获得扫描层中的电导率配置的形状和大小。良好的结果进一步验证了基于偶极子辐射的理论的有效性和通用性,并表明 MAT-MI 作为一种有效的电导率对比成像方法用于医学成像的可行性。

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