Continuum modeling of hydrodynamic particle–particle interactions in microfluidic high-concentration suspensions

Ley, Mikkel Wennemoes Hvitfeld; Bruus, Henrik

doi:10.1039/c6lc00150e

Cited by 35 publications

(35 citation statements)

References 35 publications

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“…For acoustic pre-focusing and separation, a simple theoretical estimate of this critical cell concentration can be made by calculating the concentration for which the pre-focused cells are perfectly lined up. Above this concentration, the cells become too closely packed to be treated as single cells in terms of their interaction with the surrounding liquid and become influenced by hydrodynamic interactions such that their acoustofluidic migration velocity towards the pressure node increases 36 . Given the channel width w = 375 >m and height h = 150 >m, two cells of mean diameter ( d = 10 >m) would occupy a thin slab of liquid of volume V = whd , corresponding to a cell concentration of 3.6 × 10 6 /mL (Figure 2A blue dashed line) .…”

Section: Discussionmentioning

confidence: 99%

Clinical-Scale Cell-Surface-Marker Independent Acoustic Microfluidic Enrichment of Tumor Cells from Blood

Magnusson

Augustsson²,

Lenshof³

et al. 2017

Anal. Chem.

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Enumeration of circulating tumor cells (CTCs) predicts overall survival and treatment response in metastatic cancer, but as many commercialized assays isolate CTCs positive for epithelial cell markers alone, CTCs with little or no EpCAM expression stay undetected. Therefore, CTC enrichment and isolation by label-free methods based on biophysical rather than biochemical properties could provide a more representative spectrum of CTCs. Here, we report on a clinical scale automated acoustic microfluidic platform processing 5 mL erythrocyte depleted paraformaldehyde (PFA) fixed blood (diluted 1:2) at a flow rate of 75 >L/min, recovering 43/50 (87±2.3%) breast cancer cell line cells (MCF7), with 0.11% cancer cell purity and 162-fold enrichment in close to 2 hours based on intrinsic biophysical cell properties. Adjustments of the voltage-settings aimed at higher cancer cell purity in the central outlet provided 0.72% cancer cell purity and 1445-fold enrichment that resulted in 62±8.7% cancer cell recovery. Similar rates of cancer cell recovery, cancer-cell purity and fold-enrichment were seen with both prostate cancer (DU145, PC3) and breast cancer (MCF7) cell line cells. We identified eosinophil granulocytes as the predominant WBC contaminant (85%) in the enriched cancer cell fraction. Processing of viable cancer cells in erythrocyte depleted blood provided slightly reduced results as to fixed cells, (77% cancer cells in the enriched cancer cell fraction, with 0.2% WBC contamination). We demonstrate feasibility of enriching either PFA-fixed or viable cancer cells with a clinical scale acoustic microfluidic platform that can be adjusted to meet requirements for either high cancer cell recovery or higher purity, and can process 5 mL blood samples in close to 2 hours.

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Section: Discussionmentioning

confidence: 99%

Clinical-Scale Cell-Surface-Marker Independent Acoustic Microfluidic Enrichment of Tumor Cells from Blood

Magnusson

Augustsson²,

Lenshof³

et al. 2017

Anal. Chem.

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“…The simulation of these phenomena relies on numerically well-characterized acoustic fields, which, we believe, are provided by the model we present here. Possible model strategies to pursue in such calculations were outlined by Muller and Bruus [32], Muller et al [36] and Lei et al [59] for the case of acoustic streaming, by Silva and Bruus [60] for acoustic particle-particle interactions, and by Ley and Bruus [61] for hydrodynamic particle-particle interactions.…”

Section: Discussionmentioning

confidence: 99%

Three-Dimensional Numerical Modeling of Acoustic Trapping in Glass Capillaries

Ley

Bruus

2017

Phys. Rev. Applied

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Acoustic traps are used to capture and handle suspended microparticles and cells in microfluidic applications. A particular simple and much-used acoustic trap consists of a commercially available, millimeter-sized, liquid-filled straight glass capillary actuated by a piezoelectric transducer. Here, we present a three-dimensional numerical model of the acoustic pressure field in the liquid coupled to the displacement field of the glass wall, taking into account mixed standing and traveling waves as well as absorption. The model explains the dynamical mechanism that leads to the formation of localized acoustic resonance modes in such a straight acoustic waveguide without any geometrical cavities in the axial direction of the capillary. The model further predicts that some of these modes are well suited for acoustic trapping, and it provides estimates for their frequencies and quality factors, the magnitude of the acoustic radiation force on a single test particle as a function of position, and the resulting acoustic retention force of the trap. We show that the model predictions are in agreement with published experimental results, and we discuss how improved and more-stable acoustic-trapping modes might be obtained using the model as a design tool.

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“…(18) and (8a) for v 1 and p 1 , and for the streaming, Eqs. (37) and (8b) for v 2 and p 2 , where the full model is based on our previous acoustofluidic modeling of fluidsonly systems [28,36,42] and solid-fluid systems [43].…”

Section: Numerical Modeling In Comsolmentioning

confidence: 99%

Theory of pressure acoustics with viscous boundary layers and streaming in curved elastic cavities

Bach

Bruus

2018

The Journal of the Acoustical Society of America

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109

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The acoustic fields and streaming in a confined fluid depend strongly on the viscous boundary layer forming near the wall. The width of this layer is typically much smaller than the bulk length scale set by the geometry or the acoustic wavelength, which makes direct numerical simulations challenging. Based on this separation in length scales, the classical theory of pressure acoustics is extended by deriving a boundary condition for the acoustic pressure that takes viscous boundary-layer effects fully into account. Using the same length-scale separation for the steady second-order streaming, and combining it with time-averaged short-range products of first-order fields, the usual limiting-velocity theory is replaced with an analytical slip-velocity condition on the long-range streaming field at the wall. The derived boundary conditions are valid for oscillating cavities of arbitrary shape and wall motion, as long as both the wall curvature and displacement amplitude are sufficiently small. Finally, the theory is validated by comparison with direct numerical simulation in two examples of two-dimensional water-filled cavities: The well-studied rectangular cavity with prescribed wall actuation, and a more generic elliptical cavity embedded in an externally actuated rectangular elastic glass block.

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Continuum modeling of hydrodynamic particle–particle interactions in microfluidic high-concentration suspensions

Cited by 35 publications

References 35 publications

Clinical-Scale Cell-Surface-Marker Independent Acoustic Microfluidic Enrichment of Tumor Cells from Blood

Clinical-Scale Cell-Surface-Marker Independent Acoustic Microfluidic Enrichment of Tumor Cells from Blood

Three-Dimensional Numerical Modeling of Acoustic Trapping in Glass Capillaries

Theory of pressure acoustics with viscous boundary layers and streaming in curved elastic cavities

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