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Chin. Phys. B, 2011, Vol. 20(11): 114302    DOI: 10.1088/1674-1056/20/11/114302

Effect of secondary radiation force on aggregation between encapsulated microbubbles

Tang Meng-Xinga, Zheng Hai-Rongb, Zhang Yan-Lic, Zhang Dongc
a Department of Bioengineering, Imperial College London, London, SW7 2AZ, UK; b Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518067, China; c Key Laboratory of Modern Acoustics of Ministry of Education, Institute of Acoustics, Nanjing University, Nanjing 210093, China
Abstract  Secondary radiation force can be an attractive force causing aggregates of encapsulated microbubbles in ultrasonic molecular imaging. The influence of the secondary radiation force on aggregation between two coated bubbles is investigated in this study. Numerical calculations are performed based on four simultaneous differential equations of radial and translational motions. Results show that the secondary force can change from attraction to repulsion during approach, and stable microbubble pairs can be formed in the vicinity of resonant regions; the possibility of microbubble aggregations can be reduced by using low exciting amplitude, ultrasonic frequencies deviating from the resonant frequencies or microbubbles with small compressibility.
Keywords:  microbubbles      secondary radiation force      aggregation  
Received:  08 April 2011      Revised:  05 May 2011      Published:  15 November 2011
PACS:  43.35.Mr (Acoustics of viscoelastic materials)  
  43.35.Wa (Biological effects of ultrasound, ultrasonic tomography)  
Fund: Project supported by the National Basic Research Program of China (Grant No. 2011CB707900), the National Natural Science Foundation of China (Grant Nos. 10974093, 11011130201, and 10904094), the Fundamental Research Funds for the Central Universities of China (Grant Nos. 1103020402, 1116020410, and 1112020401), the Prior Academic Program Development of Jiangsu Higher Education Institutions, China, and the State key Laboratory of Acoustics of Ministry of Education, China.

Cite this article: 

Zhang Yan-Li, Zheng Hai-Rong, Tang Meng-Xing, Zhang Dong Effect of secondary radiation force on aggregation between encapsulated microbubbles 2011 Chin. Phys. B 20 114302

[1] Winter P M, Caruthers S D, Yu X, Song S K, Chen J J, Miller B, Bulte J W M, Robertson J D, Gaffney P J, Wickline S A and Lanza G M 2003 Magnetic Resonance in Medicine 50 411
[2] Weller G E, Wong M K, Modzelewski R A, Lu E X, Klibanov A L, Wagner W R and Villanueva F S 2003 Circulation 108 515
[3] Zhang C B, Liu Z, Guo X S and Zhang D 2010 Chin. Phys. B 20 024301
[4] Klibanov A, Hughes M, Marsh J, Hall C, Miller J, Wible J and Brandenburger G 1997 Acta Radiol Suppl. 412 113
[5] Lindner J R, Jayaweera A R, Sklenar J and Kaul S 2002 J. Am. Soc. Echocardiogr 15 396
[6] Huang B, Zhang Y L, Zhang D and Gong X F 2010 Chin. Phys. B 19 054302
[7] Li X C and Sun X D 2011 Chin. Phys. B 19 119401
[8] Keller M W, Segal S S, Kaul S and Duling B R 1989 Circ. Res. bf65 458
[9] Zhao S, Borden M, Bloch S H, Kruse D, Ferrara K W and Dayton P A 2004 Mol. Imaging 3 135
[10] Hu Y, Ge Y, Zhang D, Gong X F and Zheng H R 2009 Acta Phys. Sin. 58 4746 (in Chinese)
[11] Dayton P A, Morgan K E, Klibanov A L, Brandenburger G, Nightingale K R and Ferrara K W 1997 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44 1264
[12] Dayton P A, Morgan K E, Klibanov A L, Brandenburger G H and Ferrara K W 1999 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 46 220
[13] Ilinskii Y A, Hamilton M F and Zabolotskaya E A 2007J. Acoust. Soc. Am. 121 786
[14] Naoe T and Futakawa M 2007 Phys. Rev. E 76 046309
[15] Yasui K, Iida Y, Tuziuti T, Kozuka T and Towata A 2008 Phys. Rev. E 77 016609
[16] Ida M 2009 Phys. Fluids 21 113302
[17] Doinikov A A and Zavtrak S T 1995 Phys. Fluids 7 1923
[18] Doinikov A A and Zavtrak S T 1996 J. Acoust. Soc. Am. 99 3849
[19] Akhatov I, Parlitz U and Lauterborn W 1996 Phys. Rev. E 54 4990
[20] Lauterborn W and Ohl C D 1997 Ultrason. Sonochem. 4 65
[21] Mettin R, Akhatov I, Parlitz U, Ohl C D and Lauterborn W 1997 Phys. Rev. E 56, 2924
[22] Doinikov A A 2001 Phys. Rev. E 64 026301
[23] Yasui K, Lee J, Tuziuti T, Towata A, Kozuka T and Iida Y 2009 J. Acoust. Soc. Am. 126 973
[24] Marmottant P, van der Meer S, Emmer M and Versluis M 2005 J. Acoust. Soc. Am. 118 3499
[25] Church C C 1995 J. Acoust. Soc. Am. 97 1510
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