Interaction of an ultrasound-activated contrast microbubble with a wall at arbitrary separation distances (original) (raw)
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Ultrasonically induced dynamics of a contrast agent microbubble between two parallel elastic walls
Physics in Medicine and Biology, 2013
This work presents the derivation of a Rayleigh-Plesset-like equation that describes the radial oscillation of a contrast agent microbubble between two elastic walls, assuming that the bubble is attached to one of them. The obtained equation is then used in numerical simulations in order to establish how the presence of the second wall affects the resonance properties and the scattered echo of the contrast microbubble. The effect of encapsulation on the dynamics of the microbubble is simulated by the Marmottant shell model which is commonly used for the modeling of the dynamics of lipid-shelled contrast agents. Two cases are examined. In the first, the mechanical properties of the walls are set to correspond to OptiCell chambers which are widely used in experiments on microbubble contrast agents. In the second, the properties of the walls correspond to walls of blood vessels. It is shown that the presence of the second wall increases the resonance frequency of the contrast microbubble and decreases the amplitudes of the radial oscillation and the scattered echo of the microbubble as compared to the case that the second wall is absent. It is also shown that the presence of the second wall can change noticeably the intensity of the second harmonic in the spectrum of the scattered pressure. It is demonstrated that, depending on the value of the driving frequency, the presence of the second wall can either increase or decrease the intensity of the second harmonic as compared to its intensity in the case that the second wall is absent.
Dynamics of a Contrast Agent Microbubble Attached to an Elastic Wall
IEEE Transactions on Medical Imaging, 2000
A modified Rayleigh-Plesset equation is derived to model the oscillation of a contrast agent microbubble attached to an elastic wall. The obtained equation shows that contact with the wall affects the bubble oscillation as if the bubble oscillated in a liquid with a changed (effective) density. Depending on the wall properties, the effective density can be either higher or lower than the real liquid density and hence the natural frequency of the attached bubble can be either lower or higher than the natural frequency of the same bubble in an unbounded liquid. Numerical simulations are made for a contrast bubble with shell properties similar to those used in the Marmottant shell model. The cases of a rigid wall and a plastic wall are compared. The properties of the plastic wall are set to correspond to walls of OptiCell chambers commonly used in experiments. It is shown that contact with the rigid wall decreases the natural frequency of the bubble as compared to its natural frequency in an unbounded liquid, whereas contact with the OptiCell wall increases the natural frequency of the bubble. Bubble resonance curves for three cases are compared: the bubble in an unbounded liquid; the bubble at a distance from an OptiCell wall; the bubble in contact with an OptiCell wall.
Modeling of the acoustic response from contrast agent microbubbles near a rigid wall
Ultrasonics, 2009
In ultrasonic targeted imaging, specially designed encapsulated microbubbles are used, which are capable of selectively adhering to the target site in the body. A challenging problem is to distinguish the echoes from such adherent agents from echoes produced by freely circulating agents. In the present paper, an equation of radial oscillation for an encapsulated bubble near a plane rigid wall is derived. The equation is then used to simulate the echo from a layer of contrast agents localized on a wall. The echo spectrum of adherent microbubbles is compared to that of free, randomly distributed microbubbles inside a vessel, in order to examine differences between the acoustic responses of free and adherent agents. It is shown that the fundamental spectral component of adherent bubbles is perceptibly stronger than that of free bubbles. This increase is accounted for by a more coherent summation of echoes from adherent agents and the acoustic interaction between the agents and the wall. For cases tested, the increase of the fundamental component caused by the above two effects is on the order of 8-9 dB. Bubble aggregates, which are observed experimentally to form near a wall due to secondary Bjerknes forces, increase the intensity of the fundamental component only if they are formed by bubbles whose radii are well below the resonant radius. If the formation of aggregates contributes to the growth of the fundamental component, the increase can exceed 17 dB. Statistical analysis for the comparison between adhering and free bubbles, performed over random space bubble distributions, gives p-values much smaller than 0.05.
Modeling of the dynamics of microbubble contrast agents in ultrasonic medicine: Survey
Journal of Applied Mechanics and Technical Physics, 2013
The survey is devoted to a new field of bubble dynamics that studies the behavior of ultrasound contrast agents. This name denotes man-made encapsulated microbubbles applied in diagnostic and therapeutic ultrasonic medicine to enhance the quality of ultrasonic images and to deliver drugs to target sites in the human body. The survey analyzes theoretical models that are currently applied for the description of the bubble shell, the interaction of bubbles with blood vessel walls, and the acoustical action of bubbles on the cell membrane.
Ultrasonic bubbles in medicine: Influence of the shell
Ultrasonics Sonochemistry, 2007
Ultrasound contrast agents consist of microscopically small bubbles encapsulated by an elastic shell. These microbubbles oscillate upon ultrasound insonification, and demonstrate highly nonlinear behavior, ameliorating their detectability. (Potential) medical applications involving the ultrasonic disruption of contrast agent microbubble shells include release-burst imaging, localized drug delivery, and noninvasive blood pressure measurement. To develop and enhance these techniques, predicting the cracking behavior of ultrasound-insonified encapsulated microbubbles has been of importance. In this paper, we explore microbubble behavior in an ultrasound field, with special attention to the influence of the bubble shell.
Effect of an elastic wall on the dynamics of an encapsulated microbubble: A simulation study
Ultrasonics, 2013
The purpose of the present simulation study is to reveal how confining surfaces with different mechanical properties affect the acoustic response of a contrast agent microbubble. To this end, numerical simulations are carried out for three types of walls: a plastic (OptiCell) wall, an aluminium wall, and a biological tissue. For each wall, the behaviour of contrast microbubbles of three sizes is investigated. The spectral characteristics of the scattered pressure produced by the microbubbles are compared for two cases: the bubble oscillates far away from the wall and the same bubble oscillates in the immediate vicinity of the wall. The results of the simulations allow one to make the following main conclusions. The effect of the OptiCell wall on the acoustic bubble response is stronger than that of the aluminium and tissue walls. Changes in the bubble response near the wall are stronger when bubbles are excited above their resonance frequency. Considering changes in the fundamental and the 2nd harmonic with respect to the peak values of these components at different bubble radii, it is found that the changes are stronger for smaller bubbles and that the changes in the 2nd harmonic are stronger than those in the fundamental. These results allow one to gain an insight into conditions under which the effect of an elastic wall on the acoustic response of a contrast agent microbubble is easier to be detected.
Response of bubbles to diagnostic ultrasound: a unifying theoretical approach
The European Physical Journal B, 1998
The scattering of ultrasound from bubbles of ∼ 1 µm radius, such as used in contrast enhancers for ultrasound diagnostics, is studied. We show that sound scattering and "active" emission of sound from oscillating bubbles are not contradictory, but are just two different aspects derived from the same physics. Treating the bubble as a nonlinear oscillator, we arrive at general formulas for scattering and absorption cross-sections. We show that several well-known formulas are recovered in the linear limit of this ansatz. In the case of strongly nonlinear oscillations, however, the cross-sections can be larger than those for linear response by several orders of magnitude. The major part of the incident sound energy is then converted into emitted sound, unlike what happens in the linear case, where the absorption cross-sections exceed the scattering cross-sections.
IEEE transactions on bio-medical engineering, 2014
Focused ultrasound with microbubbles is an emerging technique for blood brain barrier (BBB) opening. Here, a comprehensive theoretical model of a bubble-fluid-vessel system has been developed which accounts for the bubble's non-spherical oscillations inside a microvessel, and its resulting acoustic emissions. Numerical simulations of unbound and confined encapsulated bubbles were performed to evaluate the effect of the vessel wall on acoustic emissions and vessel wall stresses. Using a Marmottant shell model, the normalized second harmonic to fundamental emissions first decreased as a function of pressure (>50 kPa) until reaching a minima ("transition point") at which point they increased. The transition point of unbound compared to confined bubble populations occurred at different pressures and was associated with an accompanying increase in shear and circumferential wall stresses. As the wall stresses depend on the bubble to vessel wall distance, the stresses were...
Symmetric mode resonance of bubbles near a rigid boundary-the nonlinear case with time delay effects
2007
A fundamental understanding of the effect of a surface on the resonance frequency of bubbles will be useful in the future development of diagnostic medical ultrasound equipment, and specifically in the area of targeted contrast agents for the screening and possible treatment of colon cancer. In this work we turn to the wall effects on the nonlinear resonance frequency response of air bubbles in water, following on from an earlier work which considered linear interactions (E. M. B. Payne, S. Illesinghe, A. Ooi, R. Manasseh, J. Acoust Soc. Am. 118, 2841Am. 118, -2849Am. 118, (2005). Numerical results for micron-sized bubbles near a rigid boundary are presented, showing the shift in frequency caused by the presence of the boundary and the presence of other bubbles. Time delay effects are also included, showing a damping of the frequency response. Simulations are limited to the special case where all bubbles are in phase (i.e., the symmetric mode), which refers to the case where all bubbles have the same initial conditions and are subjected to the same excitation pressure field. As a result they have identical time histories. An experimental method for measuring the frequency response of a single bubble attached to a surface is also briefly mentioned.
Nonspherical Oscillations of Ultrasound Contrast Agent Microbubbles
Ultrasound in Medicine & Biology, 2008
The occurrence of nonspherical oscillations (or surface modes) of coated microbubbles, used as ultrasound contrast agents in medical imaging, is investigated using ultra-high-speed optical imaging. Optical tweezers designed to micromanipulate single bubbles in 3-D are used to trap the bubbles far from any boundary, enabling a controlled study of the nonspherical oscillations of free-floating bubbles. Nonspherical oscillations appear as a parametric instability and display subharmonic behavior: they oscillate at half the forcing frequency, which was fixed at 1.7 MHz in this study. Surface modes are shown to preferentially develop for a bubble radius near the resonance of radial oscillations. In the studied range of acoustic pressures, the growth of surface modes saturates at a level far below bubble breakage. With the definition of a single, dimensionless deformation parameter, the amplitude of nonspherical deformation is quantified as a function of the bubble radius (between 1.5 and 5 m) and of the acoustic pressure (up to 200 kPa). (