平面波声场中内置偏心液滴的弹性球壳声辐射力  

Acoustic radiation force of elastic spherical shell with eccentric droplet in plane wave acoustic field

作　　者：潘瑞琪 李凡 杜芷玮 胡静[1] 莫润阳[1] 王成会[1] Pan Rui-Qi;Li Fan;Du Zhi-Wei;Hu Jing;Mo Run-Yang;Wang Cheng-Hui(Institute of Shaanxi Key Laboratory of Ultrasonics,Shaanxi Normal University,Xi’an 710062,China)

机构地区：[1]陕西师范大学,陕西省超声学重点实验室,西安710062

出　　处：《物理学报》2023年第5期193-202,共10页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11974232,11727813)资助的课题。

摘　　要：基于声波在细胞操控中的应用,建立了一个三层内置偏心液滴的弹性球壳模型模拟具有细胞核、细胞质和细胞膜的有核细胞,并分析细胞在声场中受到的声辐射力.从薄球壳理论出发,结合球函数加法定理推导了平面波声场中内置偏心液滴的充液球壳所受声辐射力的函数表达式.数值分析了偏心液滴偏心距、半径以及液体腔内外介质特性阻抗对于充液球壳所受声辐射力的影响.结果表明,充液球壳受到的声辐射力对偏心液滴的位置及大小非常敏感,偏心液滴偏心程度越大,充液球壳所受的声辐射力越大.声辐射力随着偏心液滴半径的变化在无量纲粒子半径ka<3范围内出现共振峰值点增多的现象,在ka>3范围内曲线腹点位置发生偏移.当液体腔内液滴位置及半径同时变化时,位置变化对充液球壳所受声辐射力的影响更加显著,且二者产生的影响会相互叠加.对照细胞核相对特性阻抗分别为0.8,0.9,1,1.1和1.2时的辐射力函数随ka变化曲线发现特性阻抗的变化主要影响辐射力的大小且随着细胞核阻抗的增大,在ka=5附近的起伏幅度逐步增加,且腹点位置有右移的趋势.因此,细胞核阻抗的增大在一定的频率或者细胞尺寸范围内可增强其辐射力响应.本文的研究结果对有核细胞的操作、分选及靶向治疗具有潜在的价值.Based on the application of acoustic waves in cell manipulation,a model consisting of an elastic spherical shell and eccentric droplet is established to simulate a eukaryotic cell and analyze the acoustic radiation force(ARF)on the cell.In this work,we derive an exact expression for the ARF on the liquid-filled spherical shell.The influence of eccentric distance,radius of the eccentric droplet and impedance of the medium inside the liquid-filled spherical shell on the ARF are analyzed numerically.The results show that the ARF is very sensitive to the position and size of the eccentric droplet.As the eccentricity of the eccentric droplet increases,the ARF becomes greater.In a low frequency region(ka<3)the resonance peak point increases,and the position of the curve ventral point shifts to the high frequency region(ka>3)with the increase of the radius of the eccentric droplet.The effect of the position variation on the ARF is more significant than that of the radius change,and both of their effects will be superimposed on each other.The ARF,as a function of ka,is mainly affected by the variation of the nucleus characteristic impedance.The ARF amplitude around ka=5 increases and the position of the ventral point tends to shift rightwards with the enlargement of the nucleus impedance.Therefore,the radiation response at a certain frequency or in a cell size range can be enhanced when the nucleus impedance increases.The results of this study provide theoretical basis for the cell sorting and targeted therapy.

关 键 词：声辐射力 弹性球壳 弹性壳散射 

分 类 号：Q27[生物学—细胞生物学]