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(color online) Microstreaming velocity fields generated by a pulsating bubble with (a) no membrane; (b) with the values of bubble-cell distance d being (b) 2R 0 and (c) 4R 0 .

(color online) Microstreaming velocity fields generated by a pulsating bubble with (a) no membrane; (b) with the values of bubble-cell distance d being (b) 2R 0 and (c) 4R 0 .

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Article
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Sonoporation mediated by microbubbles is being extensively studied as a promising technology to facilitate gene/drug delivery to cells. However, the theoretical study regarding the mechanisms involved in sonoporation is still in its infancy. Microstreaming generated by pulsating microbubble near the cell membrane is regarded as one of the most impo...

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Context 1
... Therefore, the influences of bubble-cell distance (d) and shell visco-elastic properties on microstreaming shear stress are investigated thoroughly in the present work. Figure 2 illustrates the microstreaming velocity fields generated by a pulsating bubble with/without the cell mem- brane. If the bubble sits in a free field in the absence of the cell membrane (Fig. 2(a)), a symmetric velocity field is dis- tributed in the liquid surrounding the bubble with the velocity radially decaying from the bubble surface. ...
Context 2
... influences of bubble-cell distance (d) and shell visco-elastic properties on microstreaming shear stress are investigated thoroughly in the present work. Figure 2 illustrates the microstreaming velocity fields generated by a pulsating bubble with/without the cell mem- brane. If the bubble sits in a free field in the absence of the cell membrane (Fig. 2(a)), a symmetric velocity field is dis- tributed in the liquid surrounding the bubble with the velocity radially decaying from the bubble surface. When the bubble sits in the vicinity of the membrane with a bubble-to-cell dis- tance d = 2R 0 , the microstreaming velocity field around the bubble becomes asymmetric (Fig. 2(b)). The liquid ...
Context 3
... of the cell membrane (Fig. 2(a)), a symmetric velocity field is dis- tributed in the liquid surrounding the bubble with the velocity radially decaying from the bubble surface. When the bubble sits in the vicinity of the membrane with a bubble-to-cell dis- tance d = 2R 0 , the microstreaming velocity field around the bubble becomes asymmetric (Fig. 2(b)). The liquid velocity on the top of the bubble is larger than between the bubble and the membrane, as the vibration of the bottom half of the bub- ble is restricted by the cell membrane. However, when the bubble-cell distance is larger (e.g. d = 4R 0 ), the asymmetric velocity distribution turns inconspicuous, which suggests that the ...

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... Furthermore, shear stress produced by cavitation after sonoporation of conidia has been reported to cause changes in cell permeability. Consequently, if cells are in the vicinity of cavitating bubbles, transient pores derived from the viscoelastic shear forces of these microstreams may appear on their surface [55][56][57]. During shock wave treatment, bubbles normally do not oscillate; however, both bubble expansion and compression have much higher energy, and strong shear stress can be expected. ...
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... According to Nyborg's theory, [39,40] if the pulsating bubble is close to the vessel wall, the x component of shear stress on the cells can be quantified by ...
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... Many of these studies 8,10,17-20 have found that the shear and circumferential stress on the wall increases as the pressure which drives the bubble's oscillation (i.e. the acoustic pressure) is increased. With respect to the acoustic frequency, several previous studies 10, 17,18,[21][22][23] have found that the stresses and vessel displacement are maximized at various specific frequencies related to the resonance of the bubbles, vessel elasticity and gap between walls. At the same time, studies of the effect of bubble and vascular parameters on stress have been reported. ...
... that the shear stress was largely independent of the vessel radius, while the expansion of the bubble led, inevitably, to an increase in circumferential stress. 26 Several other studies, investigating the effect of separation between the bubble and the vessel wall, 21,25,26 have reported a marked decrease in stresses (shear and circumferential) with increasing distance between bubble and wall. In addition, Hosseinkhah et al. 15 compared the stresses during the collapse and expansion phases of an oscillating bubble (1 μm in radius) when sonicated at 1 MHz and 800 kPa, and showed that when the distance between the bubble and the wall was less than 6-7 μm, both shear and circumferential stresses during the bubble collapse were higher than during bubble expansion. ...
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... Using a lumped-parameter model that took the bubble shell and the fluid viscosity into account, Qin and Ferrara investigated the natural frequency of nonlinear oscillations of UCAs in a partially compliant and stiffness vessels [21]. In addition, many asymmetric models were proposed to simulate the asymmetric oscillations and acoustic responses of the bubble in a small vessel, ______________________________ based on the boundary element method (BEM), the finite element method (FEM) or the combination of these two methods [16], [7], [13]. These numerical results predicted that vascular damage could occur during vascular injections due to the elevated wall shear stress and circumferential stress. ...
... Consequently, these UDMs induced elevated shear stress levels maybe greatly enhance the permeability of blood vessel wall. Several models have been proposed for the microbubble-cell interaction in sonoporation focusing on different aspects: cell expansion and microbubble jet velocity [28], the shear stress exerted on the cell membrane [30], microstreaming of the shear stress exerted on the cell membrane in combination with microstreaming [13] generated by an oscillating microbubble. In contrast to the other models, Man et al. [15] proposed that microbubble-generated shear stress does not induce pore formation, but is, instead, the results of microbubble fusion with the membrane and subsequent "pull out" of cell membrane lipid molecules by the oscillating microbubble. ...
... UDM at relatively low frequencies could increase vascular permeability [26]. Meanwhile, we demonstrated the stresses patterns of the entire vessel wall, not just a specified point of vessel wall [7], [13]. On the other hand, we focused on the vessel stresses for different initial bubble radii and frequencies, as shown in Fig. 13, which were important for the shear intensity [18], and vessel sonoporation/ permeability [27]. ...
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... [14][15][16][17] Inertial and non-inertial cavitation inside microvessels can generate significant shear and circumferential stresses through liquid jets and microstreaming, which will lead to various biological responses in blood vessels. [18][19][20][21][22][23][24][25] For example, the shear stress induced by oscillating bubbles on the blood vessel wall can lead to the activation of the ion channel, reversible perforation of the membrane, and cell detachment and lysis. 26 Bubble-induced circumferential stress, on the other side, is often related to the rupture of vessels. ...
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... In the meantime, they are more likely to fragment into smaller "daughter" bubbles postrupture, through which sustains the cavitation behavior for longer duration by introducing more cavitation nuclei [84]. To explore the influence of bubble viscoelastic parameters on sonoporation outcomes, Wang et al. simulated the microstreaming shear stress generated by a cavitating bubble and suggested that bubbles with reduced viscosity and elasticity may achieve more efficient sonoporation [45]. ...
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The past several decades have witnessed great progress in “smart drug delivery”, an advance technology that can delivery gene or drugs into specific locations of patients’ body with enhanced delivery efficiency. Ultrasound-activated mechanical force induced by the interactions between microbubbles and cells, which can stimulate so-called “sonoporation” process, has been regarded as one of the most promising candidates to realize spatiotemporal-controllable drug delivery to selected regions. Both experimental and numerical studies were performed to get in-depth understanding on how the microbubbles interact with cells during sonoporation processes, under different impact parameters. The current work gives an overview of the general mechanism underlying microbubble-mediated sonoporation, and the possible impact factors (e.g., the properties of cavitation agents and cells, acoustical driving parameters and bubble/cell micro-environment) that could affect sonoporation outcomes. Finally, current progress and considerations of sonoporation in clinical applications are reviewed also.
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... The equation is widely used since it can accurately represent the different microbubble oscillation regimes mentioned below. It can be modified to account for the viscoelastic coating [31][32][33][34] , the presence of a nearby substrate 35 and non-spherical microbubble oscillations 36 . The Rayleigh-Plesset equation is a non-linear differential equation and for any driving pressure, it can be 4 solved to give the radius of a microbubble as a function of time 6,37 . ...
... This nonlinear and/or non-spherical response is evident from the microbubble echo that now not only contains the fundamental driving frequency but also harmonics and subharmonics thereof (figure 2, blue curve). Non-linear and non-spherical behavior can lead to microstreaming patterns around the microbubbles since the fluid around the microbubbles will be affected in an inhomogeneous, asymmetric way 31,38 . Microstreaming can transport molecules to and away from the microbubbles, such as drugs for instance, and can generate shear stresses on structures around the microbubbles 57,67 . ...
... Langmuir 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 12 Finally, numerical modeling and experimental studies have been performed to investigate microbubble shell shedding when a microbubble is oscillating asymmetrically in the presence of a nearby membrane 36 . Microbubbles that oscillate near a membrane will create axisymmetric microstreaming patterns since their vibration will be affected by the presence of that membrane 31,36,91 . ...
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Theoretical studies on the multi-bubble interaction are crucial for the in-depth understanding of the mechanism behind the applications of ultrasound contrast agents (UCAs) in clinics. A two-dimensional (2D) axisymmetric finite element model (FEM) is developed here to investigate the bubblebubble interactions for UCAs in a fluidic environment. The effect of the driving frequency and the bubble size on the bubble interaction tendency (viz., bubbles attraction and repulsion), as well as the influences of bubble shell mechanical parameters (viz., surface tension coefficient and viscosity coefficient) are discussed. Based on FEM simulations, the temporal evolution of the bubbles radii, the bubblebubble distance, and the distribution of the velocity field in the surrounding fluid are investigated in detail. The results suggest that for the interacting bubblebubble couple, the overall translational tendency should be determined by the relationship between the driving frequency and their resonance frequencies. When the driving frequency falls between the resonance frequencies of two bubbles with different sizes, they will repel each other, otherwise they will attract each other. For constant acoustic driving parameters used in this paper, the changing rate of the bubble radius decreases as the viscosity coefficient increases, and increases first then decreases as the bubble shell surface tension coefficient increases, which means that the strength of bubblebubble interaction could be adjusted by changing the bubble shell visco-elasticity coefficients. The current work should provide a powerful explanation for the accumulation observations in an experiment, and provide a fundamental theoretical support for the applications of UCAs in clinics.
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