Dong Hu, Liu Gang, Peng Gaofeng
School of Information Science and Engineering, Changsha Normal University, Changsha 410100, China.
School of Information Science and Engineering, Xinyu University, Xinyu, 338004, China.
J Biomed Phys Eng. 2025 Apr 1;15(2):185-198. doi: 10.31661/jbpe.v0i0.2410-1841. eCollection 2025 Apr.
High-intensity focused ultrasound (HIFU) therapy is an effective minimally invasive treatment technique.
This work aimed to present a theoretical foundation for transient cavitation control in HIFU treatment and investigate cavitation bubbles in multi-frequency ultrasound.
In this theoretical study, the nonlinear vibrations of bubbles in different mediums (water, urine, kidney, and muscle) were simulated using Gilmore-Akulichev and modified Keller-Miksis equations. The dynamic changes of bubble radius during irradiation by multi-frequency combined ultrasound were analyzed, and the effects of multi-frequency ultrasound combinations and frequency differences on the maximum and minimum values of bubble expansion radius and bubble collapse time were investigated.
At the same highest frequency, the triple-frequency produced the largest bubble expansion radius (R) while the single-frequency resulted in the smallest bubble expansion radius (R). At the same lowest frequency, the single-frequency had the biggest bubble expansion radius and the triple-frequency had the smallest bubble expansion radius. Compared to the combination with a large frequency difference at high frequency, the triple-frequency combination with a small frequency difference at low frequency exhibited a noticeably larger R, but R showed the opposite behavior. R/R decreased for the same ultrasonic combination when the medium viscosity increased. The bubble expansion radius ratio R/R was positively correlated with the bubble collapse time.
There was a strong correlation between the frequency difference and the multi-frequency ultrasound combination and the maximum and minimum values of the cavitation bubble radius and the collapse time.
高强度聚焦超声(HIFU)治疗是一种有效的微创治疗技术。
本研究旨在为HIFU治疗中瞬态空化控制提供理论基础,并研究多频超声中的空化泡。
在本理论研究中,使用吉尔摩-阿库利切夫方程和修正的凯勒-米克斯方程模拟了不同介质(水、尿液、肾脏和肌肉)中气泡的非线性振动。分析了多频组合超声辐照过程中气泡半径的动态变化,研究了多频超声组合及频率差对气泡膨胀半径最大值和最小值以及气泡崩溃时间的影响。
在相同最高频率下,三频产生的气泡膨胀半径(R)最大,而单频产生的气泡膨胀半径最小。在相同最低频率下,单频的气泡膨胀半径最大,三频的气泡膨胀半径最小。与高频处频率差大的组合相比,低频处频率差小的三频组合表现出明显更大的R,但R呈现相反的行为。当介质粘度增加时,相同超声组合下的R/R减小。气泡膨胀半径比R/R与气泡崩溃时间呈正相关。
频率差和多频超声组合与空化泡半径的最大值和最小值以及崩溃时间之间存在很强的相关性。