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中文核心期刊

用于评价超声热应变成像性能的仿真模型

A simulation model for evaluating the performance of ultrasonic thermal strain imaging

  • 摘要: 超声热应变成像(TSI)通过追踪超声图像中的回波偏移测量热治疗中组织的温度变化, 多种因素如热声透镜伪影效应、组织生理运动、组织类型差异等显著地影响测温精度。考虑到测量深部组织内实际温度场分布的复杂性, 有必要建立一种仿真模型对TSI算法的有效性进行检查和验证。为此基于交替方向隐式法(Douglas-ADI, DADI)的时域有限差分(FDTD)求解生物热传导方程, 结合基于超声脉冲的热致偏移理论, 提出一种对热治疗中超声图像进行仿真的方法。首先比较显式、隐式和DADI法在求解温度场中的稳定性和计算效率, 确定了DADI为优选方法。进一步, 基于组织的声速和热膨胀随温度的变化关系, 计算组织加热过程中的理论回波偏移, 讨论了不同组织对TSI测温的敏感性以及TSI计算中热膨胀效应的可忽略性。将理论回波偏移分布应用于仿真超声成像中散射子位置的更新, 由所得图像序列验证了TSI估计的准确性, 明确了当前算法的局限性。此外, 针对多热源加热情形以及周期性生理运动对TSI的影响进行了讨论。

     

    Abstract: Ultrasound thermal strain imaging (TSI) employs tracking of echo shifts in ultrasound images to measure in-tissue temperature changes during thermotherapies. The accuracy of thermometry is susceptible to a number of factors, including the thermoacoustic lens effect, physiological motions, and the tissue type. As it is difficult to calibrate the temperature distribution within tissues, it is essential to develop simulation models to evaluate the efficacy of different TSI algorithms. This paper puts forward a methodology for simulating ultrasound images during thermotherapies. This is based on the finite-difference time-domain (FDTD) solution of the bio-heat transfer equation, in conjunction with the theory of thermally-induced echo shifts. In constructing the FDTD model, the stability and computational efficiency of explicit, implicit and alternating direction implicit (Douglas-ADI, DADI) methods are compared, with DADI being identified as the preferred scheme. Subsequently, the theoretical echo offset during tissue heating was calculated on the basis of the temperature-dependent speed of sound and the thermal expansion of the tissue. Subsequently, the echo shift distribution is assigned to the in-tissue scatterers during ultrasound imaging. The efficacy of a TSI algorithm is evaluated by performing thermometry on the generated image sequence, revealing the limitations of the algorithm, the sensitivity of different tissues to TSI thermometry, and the negligibility of thermal expansion. Furthermore, the performance of the TSI algorithm is examined in the context of multiple heating sources and consideration of periodic physiological movements.

     

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