The microfluidic platform described in this work can be used to investigate bubble-bubble interactions and to analyze a variety of cavitation-induced bioeffects at the single-cell level. Here, we present several examples to demonstrate a variety of experimental studies and bioassays that can be performed in our experimental system. We will first illustrate the transient interactions of tandem bubbles with the jet formation, the visualization of the resultant flow field, and the calculation of the jet speed (Figure 5a). We will then present examples of tandem bubble-induced localized cell membrane deformation (Figure 5b), pinpointed membrane poration with PI uptake (Figure 5c), and intracellular calcium response (Figure 5d). Other examples, such as cell viability and apoptosis assays, can be found in Reference 22.
Figure 5a shows an example of the tandem bubble interaction with the jet formation, captured by high-speed imaging, and the resultant flow field revealed by PIV. Specifically, following its maximal expansion, the collapse of the first bubble B1 (produced at 0 µs) is distorted asymmetrically by the rapid expansion of the second bubble B2 (produced at 2.5 µs), leading to the formation of an "upward" jet (J1) at 3.4 µs and the subsequent jetting flow, shown at 5.4 µs. The average jet speed is determined by the slope of a fitted line for the position of the proximal end (or pole) of B1 before touchdown (i.e., contact with the distal end of B1) versus time. The average jet speed is found to increase from 20 to 58 m/s when the maximum diameter of B2 increases from 40 to 60 µm. Based on the results of PIV analysis, the directional jetting flow around the tandem bubble is on the order of 10 m/s and is confined within a width on the order of 10 µm. It is thus capable of producing an impulsive and localized shear stress and stress gradient onto a target cell grown nearby.
Another example shown in Figure 5b illustrates the cell membrane deformation induced by the directional and localized jetting flow produced by the tandem bubbles at standoff distance Sd = 40 µm. The membrane deformation and recovery are highlighted by the displacement of a functionalized bead (indicated by the yellow dotted line) attached to the leading edge of the cell membrane. The local area strain can be calculated from the coordinates of a triad of adjacent beads. A schematic of the calculated maximum area change at different locations on the cell surface is shown in the middle. The leading edge is primarily stretched (see the green circles), while the trailing edge or lateral sides of the cell are compressed (as indicated by the red circles), indicating heterogeneity in cell deformation produced by the tandem bubble induced jetting flow. The temporal variation of the area strain at the cell leading edge is illustrated on the right. It is comprised of a few rapid oscillations in the beginning, followed by a large and sustained stretch for about 100 µs (FWHM) and a subsequent gradual recovery on a time scale of several ms.
Furthermore, the large area strain and strain integral at the cell leading edge may be responsible for the cell membrane poration observed at small Sd, as shown in Figure 5c. At small Sd (i.e., 10 µm, or in some cases, 20 µm) and intermediate Sd (i.e., the majority of 20 and 30 µm), a localized membrane disruption is induced, leading to a pinpoint uptake of extracellular PI into the cytosol. If the PI intensity inside the cell keeps increasing without saturation, necrosis occurs. In comparison, if the PI intensity is an order of magnitude lower and reaches a plateau within 10 s following the tandem bubble treatment, repairable poration with likely cell survival will occur, which is further supported by the minimal change in cell morphology. At large Sd (i.e., 40 µm), negligible PI uptake is found following tandem bubble treatment, indicating negligible or non-poration. The cell can survive with regular growth and proliferation22. Overall, the results show a clear transition in cell response from necrosis, through repairable membrane poration, to non-poration in the range of Sd ≈ 20-40 µm.
Finally, we show the results of ratiometric imaging of the intracellular calcium response elicited by tandem bubbles in individual cells at different Sd, especially in the sublethal range of Sd = 30-50 µm (Figure 5d). The intensity ratio is proportional to the amount of intracellular calcium. At small Sd (i.e., 30 µm or, in some cases, 40 µm), a calcium wave travelling from the leading edge to the trailing edge is clearly observed within a few seconds following the tandem bubble treatment. After the intracellular calcium reaches a peak concentration, it decays slowly back to the resting level within a few minutes. In contrast, at large Sd (i.e., a majority of 50 µm, or in some cases, 40 µm), the increase of intracellular calcium is much milder, and no clearly visible travelling calcium wave can be identified. These two different calcium responses can also be distinguished from their intensity ratio versus time profiles, with significant differences in the peak amplitude of the intensity ratio and the rise time from resting level to peak value. At an even larger Sd (i.e., above 60 µm), no calcium response can be observed. The percentage of HeLa cells displaying calcium responses at various Sd is summarized in Figure 5d (right).
All in all, our results have demonstrated that, by altering the strength of the jetting flow (or changing Sd), a variety of bioeffects can be produced in individual HeLa cells under similar culture conditions, which is likely correlated with the amplitude and duration of the mechanical deformation imposed on the cell membrane22.

Figure 5: Results from tandem bubble interaction, cell membrane deformation, membrane poration, and calcium response assays. a) Fluid motion and the jet induced by tandem bubble interaction. Left: Selected frames showing tandem bubble interactions with the jet formation and flow field revealed by PIV. The maximum diameters of the two bubbles are about 50 ± 2 µm. Middle: Schematic of the jetting tandem bubbles, illustrating the center axis, origin of the coordinates (o), and proximal and distal ends (or poles) of the first bubble B1. Right: Measured pole positions (with error = ±1 µm) at the proximal and distal end of B1. b) Cell membrane deformation. Left: The yellow dotted line labels the displacement of a PS bead attached to the leading edge of the cell membrane, indicating the local membrane deformation and recovery. Middle: a schematic showing the peak area strains at different locations on the cell surface shown on the left. Right: The time courses of the area strains in the middle of the cell leading edge. Δε is the area strain calculated based on principal strains and ΔΔ is the area strain calculated based on the triad geometry change. More details about the area strain calculation and error analysis are documented in Reference 22. c) Cell membrane poration. Left: bright field images before and after tandem bubble treatment and time-lapse fluorescence images of PI uptake (0 and 120 s). The white arrows indicate the jetting flow direction. Middle: the typical change of average PI intensity versus time inside the cells. Right: Statistical results of the percentage of cells undergoing necrosis (red), repairable poration (blue), and non-poration (green) at different Sd. Number of cells treated: N = 9, 14, 14, and 8 for Sd = 10, 20, 30, and 40, respectively. The statistic error is ±1/√N. d) Intracellular calcium response. Left: sequences of ratiometric images showing the intracellular calcium responses of individual cells at Sd of 30 µm and 50 µm. The red arrows indicate the jet direction. Middle: typical response profiles (ratio-time curves) at different Sd. Right: the probability of a calcium response at different Sd. Please click here to view a larger version of this figure.
| standoff distance (Sd) (μm) | Reynolds number (Re) | averaged shear stress (Pa) in yz plane |
| 20 | 206.96 | 618.64 |
| 30 | 354.8 | 709.69 |
| 40 | 378.78 | 657.22 |
| 50 | 163.85 | 323.61 |
| 60 | 105.08 | 42.21 |
Table 1: A list of parameters for flow physics from the PIV results. Estimated Reynolds number and averaged shear stress with respect to different standoff distances (Sd). The YZ plane refers to the channel width x height plane. The averaged shear stress is estimated from a height of 0 to 7.7 µm from the channel bottom because the cell height in the channel is around 6-7 µm.