Nonlinear dynamics of a shell encapsulated microbubble near solid boundary in an ultrasonic field
DOI:
https://doi.org/10.15282/jmes.14.3.2020.23.0568Keywords:
Dynamics, nonlinear, vibrations, ultrasound, microbubble, encapsulation, oscillation, boundaryAbstract
Microbubbles have the potential to be used for diagnostic imaging and therapeutic delivery. However, the transition from microbubbles currently being used as ultrasound contrast agents to achieve its’ potentials in the biomedical field requires more in depth understanding. Of particular importance is the influence of microbubble encapsulation of a microbubble near a vessel wall on the dynamical behaviour as it stabilizes the bubble. However, many bubble studies do not consider shell encapsulation in their studies. In this work, the dynamics of an encapsulated microbubble near a boundary was studied by numerically solving the governing equations for microbubble oscillation. In order to elucidate the effects of a boundary to the non-linear microbubble oscillation the separation distances between microbubble will be varied along with the acoustic driving. The complex nonlinear vibration response was studied in terms of bifurcation diagrams and the maximum radial expansion. It was found that the increase in distance between the boundary and the encapsulated bubble will increase the oscillation amplitude. When the value of pressure amplitude increased the single bubble is more likely to exhibit the chaotic behaviour and maximum radius also increase as the inter wall-bubble distance is gradually increased. While, with higher driving frequency the maximum radial expansion decreases and suppress the chaotic behaviour.
References
A. L. Klibanov, "Microbubble Contrast Agents: Targeted Ultrasound Imaging and Ultrasound-Assisted Drug-Delivery Applications," Investigative Radiology, vol. 41, pp. 354-362, 2006.
P. J. Frinking, A. Bouakaz, J. Kirkhorn, F. J. Ten Cate, and N. de Jong, "Ultrasound contrast imaging: current and new potential methods," Ultrasound in Medicine & Biology, vol. 26, pp. 965-975, 2000.
R. Gramiak and P. M. Shah, "Echocardiography of the aortic root," Investigative Radiology, vol. 3, pp. 356-366, 1968.
K. W. Ferrara, "Driving delivery vehicles with ultrasound," Advanced Drug Delivery Reviews, vol. 60, pp. 1097-1102, 2008.
K. W. Ferrara, R. Pollard, and M. Borden, "Ultrasound microbubble contrast agents: fundamentals and application to gene and drug delivery," Annual Review of Biomedical Engineering, vol. 9, 2007.
A. L. Klibanov, "Targeted delivery of gas-filled microspheres, contrast agents for ultrasound imaging," Advanced Drug Delivery Reviews, vol. 37, pp. 139-157, 4/5/ 1999.
S. Wang, J. A. Hossack, and A. L. Klibanov, "Targeting of microbubbles: contrast agents for ultrasound molecular imaging," Journal of drug targeting, vol. 26, pp. 420-434, 2018.
L. Rayleigh, "VIII. On the pressure developed in a liquid during the collapse of a spherical cavity," The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol. 34, pp. 94-98, 1917.
B. C. Eatock, R. Y. Nishi, and G. W. Johnston, "Numerical studies of the spectrum of low‐intensity ultrasound scattered by bubbles," The Journal of the Acoustical Society of America, vol. 77, pp. 1692-1701, 1985.
C. Herring, Theory of the pulsations of the gas bubble produced by an underwater explosion: Columbia Univ., Division of National Defense Research, 1941.
U. Parlitz, V. Englisch, C. Scheffczyk, and W. Lauterborn, "Bifurcation structure of bubble oscillators," The Journal of the Acoustical Society of America, vol. 88, pp. 1061-1077, 1990.
V. Garbin, D. Cojoc, E. Ferrari, E. Di Fabrizio, M. Overvelde, S. Van Der Meer, et al., "Changes in microbubble dynamics near a boundary revealed by combined optical micromanipulation and high-speed imaging," Applied Physics Letters, vol. 90, p. 114103, 2007.
M. Overvelde, V. Garbin, J. Sijl, B. Dollet, N. De Jong, D. Lohse, et al., "Nonlinear shell behavior of phospholipid-coated microbubbles," Ultrasound in medicine and biology, vol. 36, pp. 2080-2092, 2010.
L. Hoff, P. C. Sontum, and J. M. Hovem, "Oscillations of polymeric microbubbles: Effect of the encapsulating shell," The Journal of the Acoustical Society of America, vol. 107, pp. 2272-2280, 2000.
N. de Jong, R. Cornet, and C. Lancee, "Higher harmonics of vibrating gas-filled microspheres. Part one: simulations," Ultrasonics, vol. 32, pp. 447-453, 1994.
N. de Jong and L. Hoff, "Ultrasound scattering of Albunex® microspheres Ultrasonics," Ultrasonics, vol. vol. 31, pp. 175-181, 1993.
N. de Jong, L. Hoff, T. Skotland, and N. Bom, "Absorption and scatter of encapsulated gas filled microspheres: theoretical considerations and some measurements," Ultrasonics, vol. 30, pp. 95-103, 1992.
C. C. Church, "The effects of an elastic solid surface layer on the radial pulsations of gas bubbles," The Journal of the Acoustical Society of America, vol. 97, pp. 1510-1521, 1995.
K. E. Morgan, J. S. Allen, P. A. Dayton, J. E. Chomas, A. Klibaov, and K. W. Ferrara, "Experimental and theoretical evaluation of microbubble behavior: effect of transmitted phase and bubble size," IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 47, pp. 1494-1509, 2000.
B. Helfield, "A Review of Phospholipid Encapsulated Ultrasound Contrast Agent Microbubble Physics?," Ultrasound in medicine & biology, 2018.
F. Dzaharudin, A. Ooi, and R. Manasseh, "Effects of boundary proximity on monodispersed microbubbles in ultrasonic fields," Journal of Sound and Vibration, vol. 410, pp. 330-343, 2017.
M. Li, F. Dzaharudin, A. Ooi, and R. Manasseh, "The effect of a solid boundary on the dynamics of a small group of ultrasound driven microbubbles," in Proceedings of the 20th International Congress on Acoustics, 2010, pp. 639-646.
A. N. Pouliopoulos and J. J. Choi, "Superharmonic microbubble Doppler effect in ultrasound therapy," Physics in Medicine and Biology, vol. 61, pp. 6154-6171, 2016/07/29 2016.
I. Lentacker, S. C. De Smedt, and N. N. Sanders, "Drug loaded microbubble design for ultrasound triggered delivery," Soft Matter, vol. 5, pp. 2161-2170, 2009.
D. H. Edwards, Y. Li, and T. M. Griffith, "Hydrogen peroxide potentiates the EDHF phenomenon by promoting endothelial Ca2+ mobilization," Arterioscler Thromb Vasc Biol. , vol. 28, pp. 1774-1781, 2008.
C. Macdonald and J. Gomatam, "Chaotic dynamics of microbubbles in ultrasonic fields," Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 220, pp. 333-343, 2006.
I. Lentacker, S. C. De Smedt, and N. N. Sanders, "Drug loaded microbubble design for ultrasound triggered delivery," Soft Matter, vol. 5, pp. 2161-2170, 2009.
C. E. Brennen, "Fission of collapsing cavitation bubbles," Journal of Fluid Mechanics, vol. 472, pp. 153-166, 2002.
M. A. Rajendran, "Ultrasound-guided Microbubble in the Treatment of Cancer: A Mini Narrative Review," Cureus, vol. 10, pp. 1-4, 2018.
T.-Y. Wang, K. E. Wilson, S. Machtaler, and J. K. Willmann, "Ultrasound and Microbubble Guided Drug Delivery: Mechanistic Understanding and Clinical Implications," Curr Pharm Biotechnol, vol. 14, pp. 743-752, 2014.
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