Dynamics of an ultrasound contrast agent microbubble near spherical boundary in ultrasound field

doi:10.1088/1674-1056/ab4d3f

中国物理B ›› 2019, Vol. 28 ›› Issue (11): 114301-114301.doi: 10.1088/1674-1056/ab4d3f

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Dynamics of an ultrasound contrast agent microbubble near spherical boundary in ultrasound field

Ji-Wen Hu(胡继文), Lian-Mei Wang(王练妹), Sheng-You Qian(钱盛友), Wen-Yi Liu(刘文一), Ya-Tao Liu(刘亚涛), Wei-Rui Lei(雷卫瑞)

1 School of Mathematics and Physics, University of South China, Hengyang 421001, China;
2 School of Physics and Electronics, Hunan Normal University, Changsha 410081, China

收稿日期:2019-08-27 修回日期:2019-09-29 出版日期:2019-11-05 发布日期:2019-11-05
通讯作者: Sheng-You Qian E-mail:syqian@foxmail.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11774088 and 11474090), the Hunan-Provincial Natural Science Foundation of China (Grant No. 13JJ3076), and the Science Research Program of Education Department of Hunan Province of China (Grant No. 14A127).

Dynamics of an ultrasound contrast agent microbubble near spherical boundary in ultrasound field

Ji-Wen Hu(胡继文)^1,2, Lian-Mei Wang(王练妹)¹, Sheng-You Qian(钱盛友)², Wen-Yi Liu(刘文一)¹, Ya-Tao Liu(刘亚涛)¹, Wei-Rui Lei(雷卫瑞)¹

1 School of Mathematics and Physics, University of South China, Hengyang 421001, China;
2 School of Physics and Electronics, Hunan Normal University, Changsha 410081, China

Received:2019-08-27 Revised:2019-09-29 Online:2019-11-05 Published:2019-11-05
Contact: Sheng-You Qian E-mail:syqian@foxmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11774088 and 11474090), the Hunan-Provincial Natural Science Foundation of China (Grant No. 13JJ3076), and the Science Research Program of Education Department of Hunan Province of China (Grant No. 14A127).

摘要/Abstract

摘要： The goal of this article is to establish the conditions of excitation where one has to deal with ultrasound contrast agent (UCA) microbubbles pulsating near biological tissues with spherical boundary in ultrasound field for targeted drug delivery and cavitation-enhanced thrombolysis, etc., and contributes to understanding of mechanisms at play in such an interaction. A modified model is presented for describing microbubble dynamics near a spherical boundary (including convex boundary and concave boundary) with an arbitrary-sized aperture angle. The novelty of the model is such that an oscillating microbubble is influenced by an additional pressure produced by the sound reflection from the boundary wall. It is found that the amplitude of microbubble oscillation is positively correlated to the curve radius of the wall and negatively correlated to the aperture angle of the wall and the sound reflection coefficient. Moreover, the natural frequency of the microbubble oscillation for such a compliable wall increases with the wall compliance, but decreases with the reduction of the wall size, indicating distinct increase of the natural frequency compared to a common rigid wall. The proposed model may allow obtaining accurate information on the radiation force and signals that may be used to advantage in related as drug delivery and contrast agent imaging.

关键词: ultrasound contrast agent (UCA) microbubble, spherical boundary, ultrasound, natural frequency

Abstract: The goal of this article is to establish the conditions of excitation where one has to deal with ultrasound contrast agent (UCA) microbubbles pulsating near biological tissues with spherical boundary in ultrasound field for targeted drug delivery and cavitation-enhanced thrombolysis, etc., and contributes to understanding of mechanisms at play in such an interaction. A modified model is presented for describing microbubble dynamics near a spherical boundary (including convex boundary and concave boundary) with an arbitrary-sized aperture angle. The novelty of the model is such that an oscillating microbubble is influenced by an additional pressure produced by the sound reflection from the boundary wall. It is found that the amplitude of microbubble oscillation is positively correlated to the curve radius of the wall and negatively correlated to the aperture angle of the wall and the sound reflection coefficient. Moreover, the natural frequency of the microbubble oscillation for such a compliable wall increases with the wall compliance, but decreases with the reduction of the wall size, indicating distinct increase of the natural frequency compared to a common rigid wall. The proposed model may allow obtaining accurate information on the radiation force and signals that may be used to advantage in related as drug delivery and contrast agent imaging.

Key words: ultrasound contrast agent (UCA) microbubble, spherical boundary, ultrasound, natural frequency

中图分类号: (Nonlinear acoustics)

43.25.+y

43.80.+p (Bioacoustics) 02.90.+p (Other topics in mathematical methods in physics)

胡继文, 王练妹, 钱盛友, 刘文一, 刘亚涛, 雷卫瑞. Dynamics of an ultrasound contrast agent microbubble near spherical boundary in ultrasound field[J]. 中国物理B, 2019, 28(11): 114301-114301.

Ji-Wen Hu(胡继文), Lian-Mei Wang(王练妹), Sheng-You Qian(钱盛友), Wen-Yi Liu(刘文一), Ya-Tao Liu(刘亚涛), Wei-Rui Lei(雷卫瑞). Dynamics of an ultrasound contrast agent microbubble near spherical boundary in ultrasound field[J]. Chin. Phys. B, 2019, 28(11): 114301-114301.

参考文献 37

[35]	Stieger S M, Caskey C F, Adamson R H, Qin S, Curry F R, Wisner E R and Ferrara K W 2007 Radiology 243 112 doi: 10.1148/radiol.2431060167
[1]	Qin S, Caskey C F and Ferrara K W 2009 Phys. Med. Biol. 54 R27
[36]	Qin S and Ferrara K W 2007 Ultrasound Med. Biol. 33 1140 doi: 10.1016/j.ultrasmedbio.2006.12.009
[2]	Yildiz Y O, Eckersley R J, Senior R, Lim A K, Cosgrove D and Tang M X 2015 Ultrasound Med. Biol. 41 1938 doi: 10.1016/j.ultrasmedbio.2015.03.014
[37]	Martynov S, Stride E and Saffari N 2009 J. Acoust. Soc. Am. 126 2963 doi: 10.1121/1.3243292
[3]	Teng X D, Guo X S, Tu J and Zhang D 2016 Chin. Phys. B 25 124314 doi: 10.1088/1674-1056/25/12/124314
[4]	Delalande A, Leduc C, Midoux P, Postema M and Pichon C 2015 Ultrasound Med. Biol. 41 1913 doi: 10.1016/j.ultrasmedbio.2015.03.010
[5]	Sheeran P S, Matsuura N, Borden M A, Williams R, Matsunaga T O, Burns P N and Dayton P A 2016 IEEE Trans. Ultrason Ferroelectr. Freq. Control. 64 252
[6]	Tang M, Loo J F, Wang Y, Zhang X, Kwok H C, Hui M, Leung C C, Kong S K, Wang G and Ho H P 2017 Lab Chip 17 474 doi: 10.1039/C6LC01169A
[7]	Zhong P, Zhou Y and Zhu S 2001 Ultrasound Med. Biol. 27 119 doi: 10.1016/S0301-5629(00)00322-7
[8]	Garbin V, Cojoc D, Ferrari E, Di Fabrizio E, Overvelde M L J, van der Meer S M, de Jong N, Lohse D and Versluis M 2007 Appl. Phys. Lett. 90 114103 doi: 10.1063/1.2713164
[9]	Wong Z Z, Kripfgans O D, Qamar A, Fowlkes J B and Bull J L 2011 Soft Matter 7 4009 doi: 10.1039/c1sm00007a
[10]	Zhao Z F, Zhang W J, Niu L L, Meng L and Zheng H R 2018 Acta Phys. Sin. 67 194320(in Chinese)
[11]	Doinikov A A, Aired L and Bouakaz A 2011 Phys. Med. Biol. 56 6951 doi: 10.1088/0031-9155/56/21/012
[12]	Miao H, Gracewski S M and Dalecki D 2008 J. Acoust. Soc. Am. 124 2374 doi: 10.1121/1.2967488
[13]	Cai C L, Yu J, Tu J, Guo X S, Huang P T and Zhang D 2018 Chin. Phys. B 27 084302 doi: 10.1088/1674-1056/27/8/084302
[14]	Wang Q, Manmi K and Calvisi M L 2015 Phys. Fluids 27 022104 doi: 10.1063/1.4908045
[15]	Wang L, Tu J, Guo X S, Xu D and Zhang D 2014 Chin. Phys. B 23 124302 doi: 10.1088/1674-1056/23/12/124302
[16]	Diez-Silva M, Dao M, Han J, Lim C T and Suresh S 2010 MRS Bull. 35 382 doi: 10.1557/mrs2010.571
[17]	Park D, Song G, Jo Y, Won J and Son T 2016 Plos One 11 e0157707
[18]	Epah J, Pálfi K, Dienst F L, Malacarne P F and Bremer R 2018 Theranostics 8 2117 doi: 10.7150/thno.22610
[19]	Kallmes D F and Fujiwara N H 2016 Am. J. Neuroradiol 2 3 1580
[20]	Cines D B, Lebedeva T, Nagaswami C, Hayes V, Massefski W, Litvinov R I, Rauova L, Lowery T J and Weisel J W 2014 Blood 123 1596 doi: 10.1182/blood-2013-08-523860
[21]	Johnsen E and Colonius T 2008 J. Acoust. Soc. Am. 124 2011 doi: 10.1121/1.2973229
[22]	Curtiss G A, Leppinen D M, Wang Q X and Blake J R 2013 J. Fluid. Mech. 730 245 doi: 10.1017/jfm.2013.341
[23]	Vogel A, Schweiger P, Frieser A, Asiyo M N and Birngruber R 1990 J. Quant. Electron. 26 2240 doi: 10.1109/3.64361
[24]	Sutton J T, Ivancevich N M, Perrin S R, Vela D C, Holl and C K 1994 Phys. Med. Biol. 39 813 doi: 10.1088/0031-9155/39/5/003
[25]	Tomita Y and Shima A 1986 J. Fluid. Mech. 169 535 doi: 10.1017/S0022112086000745
[26]	TomitaY, Robinson P B, Tong R P and Blake J R 2002 J. Fluid. Mech. 466 259 doi: 10.1017/S0022112002001209
[27]	Wu S J, Zuo Z G, Ren Z B and Liu S H 2018 Proc. 10th International Symposium on Cavitation, May 14-16, 2018, Maryland, USA p. 308
[28]	Obreschkow D, Kobel P, Dorsaz N, de Bosset A, Nicollier C and Farhat M 2006 Phys. Rev. Lett. 97 094502 doi: 10.1103/PhysRevLett.97.094502
[29]	Hu J W, Qian S Y, Sun J N, Lv Y B and Hu P 2015 Chin. Phys. B 24 094301 doi: 10.1088/1674-1056/24/9/094301
[30]	Qin S and Ferrara K W 2006 Phys. Med. Biol. 51 5065 doi: 10.1088/0031-9155/51/20/001
[31]	Stride E and Saffari N 2003 Proc. Inst. Mech. Eng. H. 217 429 doi: 10.1243/09544110360729072
[32]	Morse P M and Ingard K U 1968 Theoretical Acoustics (New York:McGraw Hill)
[33]	Hasheminejad S M 2001 Acustica 87 443
[34]	van der Meer S M, Dollet B, Voormolen M M, Chin C T, Bouakaz A, de Jong N, Versluis M and Lohse D 2007 J. Acoust. Soc. Am. 121 648 doi: 10.1121/1.2390673
[35]	Stieger S M, Caskey C F, Adamson R H, Qin S, Curry F R, Wisner E R and Ferrara K W 2007 Radiology 243 112 doi: 10.1148/radiol.2431060167
[36]	Qin S and Ferrara K W 2007 Ultrasound Med. Biol. 33 1140 doi: 10.1016/j.ultrasmedbio.2006.12.009
[37]	Martynov S, Stride E and Saffari N 2009 J. Acoust. Soc. Am. 126 2963 doi: 10.1121/1.3243292

Dynamics of an ultrasound contrast agent microbubble near spherical boundary in ultrasound field

Dynamics of an ultrasound contrast agent microbubble near spherical boundary in ultrasound field

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 37

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Xue Wang(王雪), Shi-Xie Jiang, Lin Huang(黄林), Zi-Hui Chi(迟子惠), Dan Wu(吴丹), and Hua-Bei Jiang. Wideband frequency-dependent dielectric properties of rat tissues exposed to low-intensity focused ultrasound in the microwave frequency range[J]. 中国物理B, 2023, 32(3): 34305-034305.
[2]	Yu-Bing Li(李玉冰), Jian Wang(王建), Chang Su(苏畅), Wei-Jun Lin(林伟军), Xiu-Ming Wang(王秀明), and Yi Luo(骆毅). Quantitative ultrasound brain imaging with multiscale deconvolutional waveform inversion[J]. 中国物理B, 2023, 32(1): 14303-014303.
[3]	Chao Li(李超), De-Long Xu(徐德龙), Wen-Quan Xie(谢文泉), Xian-Hui Zhang(张先徽), and Si-Ze Yang(杨思泽). Increasing the ·OH radical concentration synergistically with plasma electrolysis and ultrasound in aqueous DMSO solution[J]. 中国物理B, 2022, 31(4): 48706-048706.
[4]	Lixia Zhao(赵丽霞), Huimin Shi(史慧敏), Isaac Bello, Jing Hu(胡静), Chenghui Wang(王成会), and Runyang Mo(莫润阳). Nonlinear oscillation characteristics of magnetic microbubbles under acoustic and magnetic fields[J]. 中国物理B, 2022, 31(3): 34302-034302.
[5]	Hengcan Zhao(赵恒灿), Meng Lyu(吕孟), Jiahao Zhang(张佳浩), Shuai Zhang(张帅), and Peijie Sun(孙培杰). Quantum phase transitions in CePdAl probed by ultrasonic and thermoelectric measurements[J]. 中国物理B, 2022, 31(11): 117103-117103.
[6]	Yanqiu Zhang(张艳秋), Hao Zhang(张浩), Tianyu Sun(孙天宇), Ting Pan(潘婷), Peiguo Wang(王佩国), and Xiqi Jian(菅喜岐). Numerical simulations of partial elements excitation for hemispherical high-intensity focused ultrasound phased transducer[J]. 中国物理B, 2021, 30(7): 78704-078704.
[7]	Na Xie(谢娜). Analysis of natural frequency for imaging interface in liquid lens[J]. 中国物理B, 2021, 30(10): 104702-104702.
[8]	邹孝, 董胡, 钱盛友. Influence of dynamic tissue properties on temperature elevation and lesions during HIFU scanning therapy: Numerical simulation[J]. 中国物理B, 2020, 29(3): 34305-034305.
[9]	汤键, 金志斌, 周雪, 张玮婧, 吴敏, 沈庆宏, 程茜, 王学鼎, 袁杰. Enhancing convolutional neural network scheme forrheumatoid arthritis grading with limited clinical data[J]. 中国物理B, 2019, 28(3): 38701-038701.
[10]	蔡晨亮, 于洁, 屠娟, 郭霞生, 黄品同, 章东. Interaction between encapsulated microbubbles: A finite element modelling study[J]. 中国物理B, 2018, 27(8): 84302-084302.
[11]	常诗卉, 曹睿, 张亚斌, 王佩国, 吴世敬, 钱宇晗, 菅喜岐. Treatable focal region modulated by double excitation signal superimposition to realize platform temperature distribution during transcranial brain tumor therapy with high-intensity focused ultrasound[J]. 中国物理B, 2018, 27(7): 78701-078701.
[12]	王祥达, 林伟军, 苏畅, 王秀明. Influence of mode conversions in the skull on transcranial focused ultrasound and temperature fields utilizing the wave field separation method: A numerical study[J]. 中国物理B, 2018, 27(2): 24302-024302.
[13]	朱昀浩, 袁杰, 程茜, 王学鼎, 陶超, 刘晓峻, 徐冠. Adaptive optimization on ultrasonic transmission tomography-based temperature image for biomedical treatment[J]. 中国物理B, 2017, 26(6): 64301-064301.
[14]	范鹏飞, 于洁, 杨鑫, 屠娟, 郭霞生, 黄品同, 章东. Impact of cavitation on lesion formation induced by high intensity focused ultrasound[J]. 中国物理B, 2017, 26(5): 54301-054301.
[15]	宿慧丹, 郭各朴, 马青玉, 屠娟, 章东. Noninvasive treatment efficacy monitoring and dose control for high-intensity focused ultrasound therapy using relative electrical impedance variation[J]. 中国物理B, 2017, 26(5): 54302-054302.