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88 TECHNOLOGY TECHNOLOGY l VOLUME 4 NUMBER 2 JUNE 2016 © World Scientific Publishing Co. INVITED ARTICLE An integrated inertial microuidic vortex sorter for tunable sorting and purication of cells Xiao Wang 1 , Xiaodi Yang 1 & Ian Papautsky 1 Sorting of target cells from complex cellular samples into a high-purity product is challenging yet essential for downstream cell biology research and clinical diagnostics. Inertial microuidics is an emerging technology attracting a lot of interest for passive and label-free sorting of cells with high throughput. Here, we introduce an inertial microuidic device based on our vortex sorting platform for continuous size-based double sorting and purication of the larger target cells from the smaller background cells. Our device uses a microscale chamber with three outlets as a sorting unit, and integrates it into a specic topology to enable double sorting and purication functionalities. With properly designed uidic resistance network and optimized ow conditions, we demonstrated continuous sorting of spiked human cancer stem-like cells from human blood with >90% efciency and >1,500× enhanced purity, as well as removal of red blood cells with ~99.97% efciency. We envision this integrated vortex-aided sorter can serve as a viable tool for size-based sorting of large target cells from complex cellular samples. Furthermore, this vortex-aided sorting platform can be integrated into more sophisticated topology with versatile functions for other cell sorting applications. Keywords: Cell Sorting; Inertial Focusing; Label-Free Sorting; Microuidic Vortex Sorter; Tunable Sorting and Purication. INNOVATION Sorting of target cells with high purity from complex cellular samples is challenging yet essential. is task becomes even more challenging for samples containing orders of magnitude larger number of background cells and only a small fraction of target cells, as sorting of such samples not only requires efficient extraction of the target cells but also highly efficient removal of the background cells. In this work, we introduce an integrated vortex-based inertial microfluidic chip with new topology for continuous double sorting of larger target cells and double removal of smaller background cells, yielding a highly-purified target cell product. Our approach offers two major advantages: (1) double sorting function- ality enables efficient extraction of the large target cells and an almost complete removal of the small background cells; and (2) flexibility and convenience of tuning sorting cutoffs by input flow rate and fluid resist- ance without geometric changes to the device. INTRODUCTION Sorting and purification of target cells from complex cellular samples is a critical sample preparation step in cell biology research and clinical diagnostics 1–4 . Conventional approaches such as centrifugation and fluorescent-activated cell sorting (FACS) 4 are the most widely used tech- niques in research laboratories and hospitals. However, these techniques require bulky and expensive instrumentation, and rely heavily on human operation, both of which may cause contamination and loss of target cells. e burgeoning of microfluidics 5 has brought focus to new technologies for sorting and purification of biological microparticles which significantly reduces the size of the system and offers faster sample processing with much higher precision, lower cost and less human interactions 2,3 . As one of the techniques, inertial microfluidics 6–10 has attracted much interest in recent years for high-throughput focusing 11–16 and sorting 17–32 of micro- particles and cells. is technique uses the inertial effect of fluids around microparticles to drive them across flow streamlines into equilibrium positions in microscale channels 17,33 . A variety of microchannel geom- etries, such as straight, curved/spiral and serpentine channels, has been developed to use this effect for sorting of cells based on their size 19–24,26–32 , shape 34,35 and deformability 36 . Using inertial microfluidics, a wide range of applications such as sheath-less flow cytometry 12–14,37,38 , cell media exchange 39 , label-free cell sorting 20,23,26,27,40,41 , volume reduction 42 and rare cell isolation 22,25 have been demonstrated with a throughput orders of magnitude higher than other techniques. Sorting of target cells with high purity from complex cell samples is challenging yet essential for downstream research. It becomes even more challenging in applications involving samples with a large number of background cells and only a small fraction of target cells (e.g., isolation of circulating tumor cells (CTCs) from human blood) 27,43–45 , since it requires the device to not only extract the target cells with high yield, but also to remove background cells with extremely high efficiency. Although some inertial microfluidic devices demonstrate sorting of microbeads or cells with efficiency >95% 20,26,30 , it is oſten insufficient to obtain highly purified target cells due to multiple orders of magnitude difference in target/non-target cell numbers. Furthermore, cell samples 1 Department of Electrical Engineering and Computing Systems, University of Cincinnati, 812 Rhodes Hall, ML030, Cincinnati, OH 45221, USA. Correspondence should be addressed to I.P. ([email protected]). Received 14 October 2015; accepted 26 February 2016; published online 21 April 2016; doi:10.1142/S2339547816400112

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88

TECHNOLOGY

TECHNOLOGY l VOLUME 4 • NUMBER 2 • JUNE 2016© World Scientific Publishing Co.

INVITED ARTICLE

An integrated inertial microfl uidic vortex sorter for tunable sorting and purifi cation of cellsXiao Wang1, Xiaodi Yang1 & Ian Papautsky1

Sorting of target cells from complex cellular samples into a high-purity product is challenging yet essential for downstream cell biology research and clinical diagnostics. Inertial microfl uidics is an emerging technology attracting a lot of interest for passive and label-free sorting of cells with high throughput. Here, we introduce an inertial microfl uidic device based on our vortex sorting platform for continuous size-based double sorting and purifi cation of the larger target cells from the smaller background cells. Our device uses a microscale chamber with three outlets as a sorting unit, and integrates it into a specifi c topology to enable double sorting and purifi cation functionalities. With properly designed fl uidic resistance network and optimized fl ow conditions, we demonstrated continuous sorting of spiked human cancer stem-like cells from human blood with >90% effi ciency and >1,500× enhanced purity, as well as removal of red blood cells with ~99.97% effi ciency. We envision this integrated vortex-aided sorter can serve as a viable tool for size-based sorting of large target cells from complex cellular samples. Furthermore, this vortex-aided sorting platform can be integrated into more sophisticated topology with versatile functions for other cell sorting applications.

Keywords: Cell Sorting; Inertial Focusing; Label-Free Sorting; Microfl uidic Vortex Sorter; Tunable Sorting and Purifi cation.

INNOVATIONSorting of target cells with high purity from complex cellular samples is challenging yet essential. Th is task becomes even more challenging for samples containing orders of magnitude larger number of background cells and only a small fraction of target cells, as sorting of such samples not only requires effi cient extraction of the target cells but also highly effi cient removal of the background cells. In this work, we introduce an integrated vortex-based inertial microfl uidic chip with new topology for continuous double sorting of larger target cells and double removal of smaller background cells, yielding a highly-purifi ed target cell product. Our approach off ers two major advantages: (1) double sorting function-ality enables effi cient extraction of the large target cells and an almost complete removal of the small background cells; and (2) fl exibility and convenience of tuning sorting cutoff s by input fl ow rate and fl uid resist-ance without geometric changes to the device.

INTRODUCTIONSorting and purifi cation of target cells from complex cellular samples is a critical sample preparation step in cell biology research and clinical diagnostics1–4. Conventional approaches such as centrifugation and fl uorescent-activated cell sorting (FACS)4 are the most widely used tech-niques in research laboratories and hospitals. However, these techniques require bulky and expensive instrumentation, and rely heavily on human operation, both of which may cause contamination and loss of target cells. Th e burgeoning of microfl uidics5 has brought focus to new technologies

for sorting and purifi cation of biological microparticles which signifi cantly reduces the size of the system and off ers faster sample processing with much higher precision, lower cost and less human interactions2,3. As one of the techniques, inertial microfl uidics6–10 has attracted much interest in recent years for high-throughput focusing11–16 and sorting17–32 of micro-particles and cells. Th is technique uses the inertial eff ect of fl uids around microparticles to drive them across fl ow streamlines into equilibrium positions in microscale channels17,33. A variety of microchannel geom-etries, such as straight, curved/spiral and serpentine channels, has been developed to use this eff ect for sorting of cells based on their size19–24,26–32, shape34,35 and deformability36. Using inertial microfl uidics, a wide range of applications such as sheath-less fl ow cytometry12– 14,37,38, cell media exchange39, label-free cell sorting20,23,26,27,40,41, volume reduction42 and rare cell isolation22,25 have been demonstrated with a throughput orders of magnitude higher than other techniques.

Sorting of target cells with high purity from complex cell samples is challenging yet essential for downstream research. It becomes even more challenging in applications involving samples with a large number of background cells and only a small fraction of target cells (e.g., isolation of circulating tumor cells (CTCs) from human blood)27,43–45, since it requires the device to not only extract the target cells with high yield, but also to remove background cells with extremely high effi ciency. Although some inertial microfl uidic devices demonstrate sorting of microbeads or cells with effi ciency >95%20,26,30, it is oft en insuffi cient to obtain highly purifi ed target cells due to multiple orders of magnitude diff erence in target/non-target cell numbers. Furthermore, cell samples

1Department of Electrical Engineering and Computing Systems, University of Cincinnati, 812 Rhodes Hall, ML030, Cincinnati, OH 45221, USA. Correspondence should be addressed to I.P. ([email protected]).

Received 14 October 2015; accepted 26 February 2016; published online 21 April 2016; doi:10.1142/S2339547816400112

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have diff erent size distributions, thus the fl exibility of tuning the sorting cutoff s is critical for maintaining the performance of the sorting. Never-theless, for most of the inertial microfl uidic devices, the sorting cutoff can only be modifi ed by redesigning and refabricating of the device, which leads to extra development time, cost and possibly delays in processing of time-sensitive biological samples.

In this work, we introduce an integrated vortex-based inertial microfl uidic chip with new topology for continuous double sorting and purifi cation of biomicroparticles with high effi ciency and purity. We used our continuous vortex-aided sorting chamber29 as a unit and integrated two units by connecting the high pass outlets of the fi rst unit into the inlet of the second unit. With properly designed fl ow conditions and fl uidic resistance network, the larger target cells are fi rst sorted in the fi rst unit and then pass into the second unit to be double-sorted, leading to the product with signifi cantly increased purity. Tuning of the sorting cutoff s of the integrated device is possible by simply modifying the input fl ow rate or the fl uidic resistance network, which allows the fl exibility and versatility of sorting cellular samples with diff erent size distributions. To demonstrate the feasibility of sorting of relatively rare cells as well as effi cient removal of a large number of background cells, we spiked blood with human cancer stem-like cells (HuSLCs) and successfully sorted them with ~90% effi ciency, while removing red blood cells (RBCs) with ~99.97% effi ciency. With the double sorting functionality and the fl exibility of cutoff tuning, we envision this inertial microfl uidic vortex sorter can potentially serve as a feasible tool for sorting and purifi cation of rare larger cells from cellular mixtures for applications ranging from cell biology research to clinical diagnostics.

METHODS

MicrofabricationWe used standard soft lithography process to fabricate microchannels in polydimethysiloxane (PDMS, Sylgard 184, Dow Corning, Midland, MI). A 50 μm high master formed in MX5050 dry fi lm photoresist (Microchem Corp.) was employed. A mixture of PDMS base and curing agent (10:1 ratio) were poured on the master. Aft er degassing, PDMS was cured for 2 hours on an 80°C hotplate. Th e cured PDMS devices were peeled off , and inlet/outlet ports were punched with a 14-gauge syringe needle. PDMS was bonded to standard glass slide using a hand-hold plasma surface treater (BD-20AC, Electro-Technic Products, Inc., Chicago, IL). Th e microchannels used in this device have a uniform dimension of 30 μm × 50 μm (w × h). Th e microchambers have a uniform dimension of 500 μm × 500 μm (Wc × Lc).

Microparticle suspensionsTo study the sorting cutoff of the sorting unit, we dispensed non-fl uorescence PMMA microparticles (1.2 g/mL) with continuous size distribution from 7 μm to 23 μm in diameter (Santa Babara, CA) into water to form a solution of particle mixture (0.006% w/v). To match the density of PMMA microparticles, we adjusted the density of water to 1.2 g/mL by adding sodium chloride. In the experiments of tuning sorting cutoff s of the integrated system, we used a mixture of fl uorescently-labeled 23 μm, 18.5 μm (Polyscience, Inc., Warrington, PA) and 7 μm diameter microsparticles (Bangs Laboratories, Inc., Fishers, IN). We added Tween-20 at 0.1% v/v (Fisher Scientifi c, Inc., Singapore) to all the particle solution to avoid particle aggregation. In the experiment of sorting microbeads from human blood, we spiked 23 μm, 18.5 μm (Polyscience, Inc.) into 0.5% human blood to obtain a concentration of ~700/mL for the 23 μm diameter beads and 18,000/mL for the 18.5 μm diameter beads.

Preparation of cancer cellsHuSLCs were cultured for four days on a 10 cm primaria plate coated with matrigel. Cells were then trypsinized aft er they were confl uent and

diluted to the required concentration. Cells from the same plate were used for the sorting experiments to maintain the size-range.

Device operation and imagingWe fi rst loaded a syringe with particle solution and connected it to the device by using a 1/16” tubing (Upchurch Scientifi c) with proper fi ttings (Upchurch Scientifi c). We pumped particle solution into devices with designed fl ow rate using a syringe pump (Legota 180, KD Scientifi c, Holliston, MA). To visualize trajectory of particles in bright-fi eld, we used an inverted epi-fl uorescence microscope (IX71, Olympus, Inc., Center Valley, PA) equipped with a 12-bit high-speed CCD camera (Retiga EXi, QImaging, Surrey, Canada). We set the exposure time to minimum value (10 μs) and sequentially took 200 images with minimum time interval. By stacking images in ImageJ, we established a complete view of particle motion. To take fl uorescent images, we used the same setup and set the exposure time to 100 ms and sequentially took 20 images.

Measurement of the resistance ratio σ of the side and middle outletsWe determined the fl ow resistance ratio of the side and the middle outlet σ by measuring the ratio of the sample mass from these outlets. For example, aft er fl owing DI water into the device, the sample mass from the side and the middle outlet was measured to be mside and mmain correspondingly. Th e fl ow resistance ratio was calculated to: σ = mmain/mside.

Characterization of the sorting resultsTo measure the concentration of microbead or cell suspensions, we fi rst injected the sample into a hemocytometer (Hausser Scientifi c, Horsham, PA) to form monolayer of microbeads or cells and then took bright fi eld images. We then used Image Pro Plus (v. 7.1) to automatically count and size the microbeads or cells and measure the concentrations. Th e purity was calculated as the concentration of target microbeads or cells over the total concentrations of microbeads or cells. To calculate separation effi ciency, we combined concentrations and corresponding volumes to calculate the count of each sized microbeads or cells from each outlet and normalized the counts as separation effi ciency.

RESULTS

Integrated device operationOur inertial microfl uidic chip uses a high-aspect-ratio straight micro-channel to order cells upstream, and a downstream chamber to generate microscale vortices for continuous size-based sorting of the cells. By integrating two units, the chip permits continuous double-sorting and purifi cation of the larger target cells from the smaller background cells, leading to a highly-purifi ed product of the target cells. Before describing the integrated device, we briefl y review inertial focusing in a straight mi-crochannel and continuous microvortex-aided sorting in a microchamber with three outlets29.

In a straight microchannel with rectangular cross-section, inertial migration of microparticles occurs in two stages10. As microparticles travel downstream, they equilibrate along each longer wall into sheets, where the shear-induced lift force Fs balances the wall-induced lift force Fw (Fig. 1a). Once this initial equilibrium is reached, microparticle motion near the channel walls is dominated by the rotation-induced lift force FΩ. Microparticles then migrate to the center points near walls completing the inertial migration. In this work, a high-aspect-ratio microchannel (channel width w < channel height h) was designed to focus cells along the two side walls to create the optimal cross-sectional positions for the vortex-aided sorting downstream.

Downstream of the focusing microchannel, a sudden expansion of the microchannel leads to formation of the microscale vortices that trigger the size-based sorting of microparticles (Fig. 1b). Microparticles entering the sorting chamber experience a signifi cantly reduced Fw due to the sudden absence of the microchannel wall. Th us, the dominating Fs

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drives the microparticles towards the sheath fl ow region. Since Fs scales with the microparticle diameter a and input fl ow velocity Uf as Fs ∝ Uf

2a2,25,29,46,47 the larger particles migrate across the streamlines faster than the smaller particles. Once the larger particles migrate across the boundary into the sheath fl ow regions, they exit through the side outlets. Th e smaller microparticles instead remain in the middle fl ow region due to insuffi cient lateral migration, fulfi lling the size-based sorting (Fig. 1b).

To enable sorting and purifi cation of the larger target cells from the large number of the smaller background cells, two vortex sorting units are integrated with the side outlets of the fi rst sorting unit connected to the inlet of the second unit (Fig. 1c). Cellular sample is introduced into the device from inlet 1 and focused along the sidewalls driven by the inertial lift forces (Fig. 1d). Downstream, the fi rst sorting unit recovers larger cells from the smaller background cells. To remove the remaining background cells and further purify the large targets, the sorting product from the side outlets of the fi rst unit fl ows downstream into the second unit. To create proper fl ow condition for the sorting in the second unit, buff er is introduced from inlet 2 to accelerate the fl ow. As a result, large target cells are sorted to outlet 3 (O3) leading to double-purifi ed product, while the remaining small background cells are sorted into outlet 2 (O2).

As a proof of concept, we introduced a mixture of 18.5 μm and 7 μm diameter microbeads into the device (Fig. 2a,b) to mimic cellular samples with physical sizes similar to CTCs and RBCs. Th e mixture was introduced into the device at a fl ow rate Qs = 190 μL/min (Re = 80) and uniformly distributed in the 30 μm × 50 μm (w × h) microchannel near inlet 1 (Fig. 2c). Downstream, the 18.5 μm diameter beads focused into two streams near the side walls, while the 7 μm diameter microbeads

focused into four streams at the center of each wall. Th is transformation of focusing positions from two to four in a rectangular microchannel has been reported previously9,48 and occurs as Re exceeds the threshold values which depend on the size of the microparticle and is lower for smaller microparticles. Th is phenomenon benefi ts sorting in our device because a portion of the smaller background particles will focus near top and bottom walls which ensures they exit through the middle outlet. In the fi rst sorting unit, the 18.5 μm and the 7 μm diameter microbeads were sorted into the side outlets and middle outlet O1, respectively (Fig. 2d). Th e 18.5 μm and the remaining 7 μm diameter beads fl owed downstream and merged with the buff er inlet 2 at Qb = 90 μL/min (Re = 38) (Fig. 2e). Th e microbeads were then sorted again in the second sorting unit leading to pure 18.5 μm diameter beads in O3 (Fig. 2f).

Investigation of size-based sorting in a single vortex unitTo aid the design of an integrated sorting system with proper sorting cutoff s, a comprehensive investigation of the sorting cutoff diameter of a single unit is necessary. In our previous work32, we studied tuning of the sorting cutoff by input fl ow velocity Uf and the fl uidic resistance ratio σ = r/R of the side (r) and the middle (R) outlet channels. Th e Uf can be directly adjusted by the syringe pump and we showed that a higher fl ow velocity leads to faster lateral migration of all the microparticles, thus lowering the sorting cutoff 32. Th e fl uidic resistance ratio σ is related to the dimensions of the fl uidic channel, and when using the side and the middle channels of the same cross-sectional dimensions, the σ can be tuned by varying the length ratio of the channels32,49. Larger σ shift s the boundary towards the channel side walls thus increases the lateral migration distance

Figure 1 Device principle. (a) Schematic illustration of inertial focusing of microparticles in a straight channel with rectangular cross-section. (b) Schematic illustration of continuous vortex-aided size-based sorting of microparticles in a microchamber with three outlets (one middle outlet and two side outlets). (c) Integration of two vortex sorting units into an integrated device for double sorting and purifi cation. (d) Schematics illustrating details of the device operation.

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leading to a higher cutoff . Our previous device was designed for sorting larger beads or cells with diameter >10 μm, and thus off ered limited performance for sorting of smaller cells such as RBCs. In this work, to permit sorting of human blood samples we reduced dimensions of the focusing microchan-nel to 30 μm × 50 μm (w × h) and used a microchamber with fi xed width Wc and length Lc of 500 μm × 500 μm.

We quantitatively characterized the sorting cutoff diameter of a single unit over a wide range of inlet fl ow rate Q from 80 μL/min to 200 μL/min and channel resistance ratio σ from 3.3 to 10 (Fig. 3) (see Supplementary Informa-tion for the experimental details). To determine the cutoff, we introduced microbead mixtures with continuous size distribution from 7 μm to 23 μm into the device and measured the cutoff diameter at each combination of Q and σ. This is the approach we used previously to characterize cutoff in a multimodal separator32. As the contour map in Fig. 3 shows, the cutoff diameter of a single sorting unit can be tuned from 12.5 μm to 23 μm at the given range for Q and σ. For example, at a fi xed fl ow rate of Q = 100 μL/min, the cutoff diameter increases from 18 μm to 23 μm as σ increases from 4.6 to >8.5. At σ = 4.6, the cutoff diameter decreases from 21 μm to 12.5 μm as Q increases from 80 μL/min to 200 μL/min. Note that at σ = 3.3, the boundary of the sheath fl ow and the middle fl ow is closer to the channel center. Th us, the majority of the microbeads are initially

focused very close to or inside the boundary leading to insuffi cient sort-ing29. Th ese results suggest that the cutoff of a sorting unit can be easily tuned over a wide range by modifying the fl ow rate or resistance ratio of the outlet channels.

Integration of two vortex units using electric circuit modelIn the integrated system, the input fl ow rate for each sorting unit needs to match its resistance ratio σ to provide proper cutoff. We used an electrical circuit model analogous to the fl uidic resistance network49 to aid the analysis and the design of the device. As Fig. 4a shows, the fl uidic resistance network of the integrated vortex sorter consists of two inlets for sample and buff er with the fl ow rates of Qs and Qb, fl uidic resistors R1~R5 of outlet channels and connection channel between the two units, as well as outlet ports O1~O4. In the analogous electrical circuit model (Fig. 4b), the fl ow rate and the fl uidic resistor are analogous to the cur-rent and the electric resistor respectively. Th e resistance induced by the microchambers is much smaller than the surrounding microchannels, thus is neglected in the electric circuit model. As Fig. 4c shows, the model can be rearranged and simplifi ed to contain two current sources Is and Ib and three resistors R1, R2/2 and R6.

In this integrated system, the combination of the fl ow rate Qs and resistance ratio σ1 determines the cut off of the fi rst chamber. Similarly the combination of the fl ow rate Q3 and resistance ratio σ2 determines the cut off of the second chamber. Diff erent from the single unit, the resistance

Figure 2 Experimental setup and proof-of-concept. (a) Photograph of the microfl uidic chip in this work. (b) Photograph of the operation system in this work. (c) Inertial focusing of microbeads in the upstream microchannel. Fluorescent image was taken at 20 mm downstream. (d) Sorting of the larger beads from the smaller beads in the fi rst sorting unit. (e) Larger beads with the remaining smaller beads fl ow downstream to the second sorting unit with buffer fl ow accelerating the fl ow from inlet 2. (f) Double sorting in the second chamber. Thirty to 50 images were stacked to indicate trajectories of the microparticles.

Figure 3 Investigation of size-based sorting in a single vortex unit. The contour map showing the sorting cutoff diameters at fl ow rates from 80 ~ 200 μL/min and resistance ratios from 4.3 to 10.2.

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ratio σ1 is not only related to the channel resistance R1 of the middle and R2 of the side outlets, but also the downstream components. To calculate σ1, we use Kirchhoff ’s fi rst law at junctions 1 and 2 as:

1 22 sI I I+ = (1)

2 32 bI I I+ = (2)

Combining these two equations with resistors R1, R2 and R6, the σ1 is given as:

( )

62

1 1 2 6 111 1 6

2 1 66

1

2 12 2 ,

1

b

s s s bs b

s bb

s

R IRR R I R Q R Q R QI Q R Q R

I Q R Q RI RI R

σ

⎛ ⎞+ +⎜ ⎟⎝ ⎠ + +

= = = >−⎡ ⎤⎛ ⎞

−⎢ ⎥⎜ ⎟⎝ ⎠⎢ ⎥⎣ ⎦ (3)Th e resistance ratio of the second unit σ2 is given as:

542

5 4,RI

I Rσ = =

(4)

which is similar to a single unit because of the shared electric ground of all three outlets O2, O3 and O4. Using Equations (3) and (4), one can calculate the resistance ratios σ1 and σ2 based on the dimensions of each channel and the input fl ow rates Qs and Qb, and then use the contour

map (Fig. 3) to estimate the cutoff of each sorting unit. Due to fl exibility of PDMS, the channel may expand during device operation, leading to changes in channel resistance and thus the cutoff diameter. While Gervais et al.50 showed that such variations can be as high as 10%, the width of microchannels in this work is an order of magnitude smaller and thus any expansion is not expected to be signifi cant. Nevertheless, any defl ection-induced variation could be compensated by slightly tuning the fl ow rate to achieve optimal sorting cutoff diameter.

Tuning the sorting cutoffs in an integrated vortex sorting systemTh e fl exibility of tuning the sorting cutoff s according to size distribution and target of interest in a given sample is critical for eff ective size-based sorting of diff erent samples. In the integrated system, the sorting cutoff can be conveniently adjusted by the fl ow rate or the resistance network according to Equations (3) and (4). Figure 5a,b demonstrate tuning of the cutoff using the fl ow rate. We introduced a mixture of 23 μm, 18.5 μm and 7 μm diameter beads into the device at Qs = 190 μL/min with buff er fl ow Qb = 90 μL/min at σ1 and σ2 = 7. Th e Q3 was calculated to ~130 μL/min. Under these conditions, the cutoff s of the fi rst and second sorting units were ~16 μm and ~18 μm respectively. As Fig. 5a shows, both the 23 μm and the 18.5 μm diameter beads were sorted into the side outlets of the fi rst stage. Downstream, both beads were sorted into O3. As we reduced the fl ow rates Qs = 170 μL/min and Qb = 60 μL/min, the resistance ratios σ1 and σ2 remain the similar values. Th e Q3 was then calculated to ~100 μL/min. Th is upshift s the cutoff s of the fi rst and the second unit to ~17 μm and ~21 μm, respectively. Th us, instead of extracting both the 23 μm and the 18.5 μm diameter microbeads, only the 23 μm diameter microbeads were extracted from O3, illustrating successful modifi cation of the cutoff . We can also fi x the fl ow rate and tune the cutoff s by only adjust-ing the resistance ratios. As Fig. 5c shows, we fi xed the fl ow rates Qs = 190 μL/min and Qb = 90 μL/min and increased the resistance ratio σ2 from 7 to 10. Th e cutoff of the second unit increased from ~18 μm to ~21 μm. As a result, the 23 μm diameter beads were successfully extracted through O3 while the 18.5 μm diameter beads exited through O2 with the remaining 7 μm diameter microbeads. Th ese results demonstrate the fl exibility and convenience of tuning the sorting cutoff s indicating the versatility of the system for processing samples with diff erent size distributions.

Sorting of cancer stem cells from blood using the integrated systemTh e device enables double sorting of the larger target cells and double removal of the smaller background cells, which can yield highly puri-fi ed target cell product even when cellular samples contain only a small target fraction. We fi rst demonstrated sorting of large microbeads from the diluted human blood (0.5%). We spiked blood with 23 μm and 18.5 μm diameter beads (to mimic relatively rare target cells). Th e resulting concentrations were ~700/mL for the 23 μm diameter beads and 18,000/mL for the 18.5 μm diameter beads in ~1.5 × 107/mL RBCs. As Fig. 6a shows, majority of the RBCs were sorted into O1 by the fi rst unit, while 23 μm and 18.5 μm beads were sorted to side outlets together with the remaining RBCs. Th e product from the side outlets was sorted again in the second sorting unit, in which the 18.5 μm beads and the RBCs are separated into O2. Th e rare 23 μm beads were extracted from O3. Th e bright-fi eld images (Fig. 6b) illustrate successful sorting of the rare 23 μm beads with signifi cantly reduced amount of RBCs compared to the inlet sample. Quantitative measurements of concentration (Fig. 6c) show a 15,800× decrease of RBC concentration. Th e purity (Fig. 6d) of 23 μm bead concentration increased ~15,000× from 0.005% to 71% in O3. Th e separation effi ciencies for the 23 μm and the 18.5 μm beads are ~99% and 99%, respectively, indicating effi cient sorting of larger microparticles from smaller cells using this device (Fig. 6e). Th e overall removal effi ciency for the RBCs was ~99.998% indicating extremely effi cient removal of smaller background cells aft er passing the two sorting units. We note that the removal effi ciency of RBCs from the fi rst unit is 94%, which many may

Figure 4 Integration of the vortex sorting system. (a) The fl uidic resist-ance network of the integrated system. The Qs, Qb, and Q1~Q5 indicate sample fl ow rate, buffer fl ow rate and fl ow rates at different channels of the device, respectively. (b) The analogous electrical circuit model, with fl ow rate analogous to current and fl uidic resistors analogous to electric resistors. (c) Simplifi ed electrical circuit model from (b), with 1 and 2 indicating the two electric circuit junctions.

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Figure 5 Tuning the sorting cutoffs of the integrated system. (a) Stacked bright-fi eld images showing sort-ing of a mixture of 23 μm, 18.5 μm and 7 μm at the indicated fl ow conditions and fl ui dic resistance ratios. Both the 23 μm and the 18.5 μm diameter microbeads are sorted to O3. (b) Adjusting the fl ow rates of inlet and buffer leads to only the 23 μm diameter microbe-ads being sorted to O3. (c) Modifying the resistance network with the same fl ow condition as (a). Only the 23 μm diameter beads are sorted to O3. Thirty to 50 images were stacked to indicate trajectories of the microparticles.

Figure 6 Sorting of large microparticles from diluted human blood. (a) Stacked bright-fi eld microscopic images demonstrating sorting of 23 μm diameter microbeads from 18.5 μm diameter microbeads and 0.5% diluted blood in the two sorting units. Fifty images were stacked to illustrate the complete trajectories of microbeads and cells. The red, blue and green dashed lines indicate the trajectories of microbeads and cells. (b) Microscopic bright-fi eld images of inlet and outlets. The inset images are photographs of samples collected from different outlets. (c) Concentration plot showing the 23 μm, the 18.5 μm diameter microbeads and the RBCs concentrations from inlet, O1, O2 and O3. (d) Purity plot showing the purity of the 23 μm microbeads in inlet and O3. (e) Separation effi ciency of RBCs, the 18.5 μm and the 23 μm diameter microparticles from O1, O2 and O3, respectively.

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consider as high effi ciency; however, some applications such as isolation of CTCs from blood may require more effi cient removal of background cells to obtain highly-pure target cell products.

We further demonstrated the sorting of human cancer stem-like cells (HuSLCs) from human blood. Cancer stem-like cells are a subset of tumor cells that has the ability to self-renew and generate the diverse cells that comprise the tumor51–54. A recent study55 reported that circulating cancer stem cells, which can potentially initiate metastatic growth, are found in blood. To demonstrate the potential of using this device platform for purifi cation of such rare circulating cells, we spiked HuSLCs into diluted human blood (1%) at a concentration of ~1,000/mL. Th e HuSLCs used in these experiments were 12 μm to 22 μm in diameter, with the majority measured in the 15 μm to 18 μm range. To sort HuSLCs from blood effi ciently, we set the cutoff of each sorting unit to ~15 μm. Th e diluted human blood (1%) was spiked with HuSLCs with a concentration of ~1,000/mL and introduced into the device at Qs = 200 μL/min and Qb = 90 μL/min. As shown in the stacked bright-fi eld images (Fig. 7a), majority of the RBCs fl owed to O1 and the HuSLCs was sorted into the side outlet of the fi rst unit,

together with the remaining RBCs. Further downstream, the HuSLCs and the RBCs are sorted again in the second unit, leading to more purifi ed and concentrated HuSLCs product from O3. Th e bright-fi eld microscopic images of samples from the inlet and outlets indicate that HuSLCs are successfully sorted and purifi ed aft er fl owing through the device (Fig. 7b,c).

We quantitatively measured the concentration, purity and separation effi ciency of RBCs and HuSLCs as shown in Fig. 7d–f. Aft er sorting, the concentration of HuSLCs was enriched ~10× while the purity increased ~1,500×. Th e separation effi ciency of the HuSLCs from O3 was ~90%. For RBCs, the concentration decreased 265× in O3 and the removal effi ciency is 98% and 99.97% aft er sorting in the fi rst and second units, respectively. Th ese results suggest our device can effi ciently sort and purify relatively rare large cells from a large number of background cells. Th e 10× enrichment of the HuSLCs concentration from O3 was because the majority of the fl uid fl owed to the middle outlet at each of the sorting unit, and thus target cells exiting through the side outlets get sorted and enriched simultaneously. Th is enrichment eff ect is benefi cial especially if the target cells are rare in the samples. Th e loss of ~10% of HuSLCs

Figure 7 Sorting of the human cancer stem-like cells (HuSLCs) from blood. (a) Stacked bright-fi eld microscopic images demonstrating the sorting of HuSLCs from 1% diluted blood in the two sorting units and corresponding side outlets. The red, blue and green dash lines indicate the trajectories of cells. The green arrows indicate the HuSCLs being sorted into side outlets. The scale bars are 50 μm. (b) Microscopic bright-fi eld images of inlet and outlets. The scale bars are 50 μm. (c) Zoom-in phase-contrast image taken at O3 illustrating HuSLCs (the green arrows) and RBCs (the red arrow). (d) Concentra-tion plot of the HuSLCs and the RBCs in inlet and O3. (e) Purity plot of the HuSLCs in inlet and O3. (f) Separation effi ciency of the RBCs and the HuSLCs from O1, O2 and O3.

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was most likely caused by the cutoff settings of the device. Since the cutoff s were set to ~15 μm, the HuSLCs with size <15 μm as well as the majority of the WBCs with the size of 10~15 μm would exit through O1 or O2. Th e overall RBC removal (~99.97%) was not as effi cient as in the previous demonstration (~99.998%), which led to a smaller reduction of RBC concentration (265× compared to 15,800×) and lower enhancement of HuSLC purity (~1,500× compared to ~15,000×) in O3. Th ere may be two reasons for this: (1) the RBC concentration in the HuSLC sorting experiments was 2× higher than in microbead experiments, which may cause greater interparticle interaction and thus lowering the sorting effi ciency; and (2) the device for HuSLC sorting used a smaller resist-ance ratio (σ2 = 5) for the second unit which resulted in the less effi cient removal of RBCs. With further optimization on resistance network, the sorting performance can be further improved.

DISCUSSIONTh is work described an integrated inertial microfl uidic sorter for double sorting and purifi cation of larger cells from smaller background cells. We successfully demonstrated continuous sorting of relatively rare cells (~1,000/mL) from diluted human blood (~5.2 × 107/mL) with ~90% effi ciency and ~1,500× increased purity as well as removal of RBCs with ~99.97% effi ciency. Th e signifi cantly increased purity of target cells aft er sorting stems from the unique function of the device which extracts the target cells and removes the background cells twice. Th is function is especially useful for processing cellular samples containing only a small fraction of target larger cells in large amount of small background cells. Although one could achieve the double sorting by fl owing the sample two times through a single-stage device, the repetitive sample transfer is less automatic and may lead to damage or loss of the target cells. With the integrated design, the device can continuously generate highly purifi ed products without human interaction.

Moreover, the sorting cutoff s of the integrated device can be tuned by modifying the fl ow rate or adjusting the fl uidic resistance. Th e fl ow rate can be modifi ed by the syringe pump. Th e fl uidic resistance can be modifi ed using the setup described in the supplementary information. Th is fl exibility enables convenient modifi cation for sorting samples of diff erent cell sizes. Aft er characterizing the size distribution of a new cellular or bead sample, one could easily modify the cutoff s according to the size distribution of the sample or the size of the target of interest to maximize the sorting performance without the time-consuming redevelopment of the device.

Similar as building transistors into an integrated circuit, our vortex building blocks can be potentially integrated into more sophisticated sorters with more versatile functions. For example, we have previously shown cascading of two units for multimodal sorting of large, medium and small cells32. Th e multimodal sorter can be integrated to the second stage of the device discussed herein to enable double fi ltration of small cells and multimodal sorting of large and medium cells simultaneously. As more vortex units are integrated into sophisticated network, pressure drop in the device will increase which may cause expansion of PDMS channels or leaking of the devices. Fabricating the device with more rigid material such as epoxy11 will be helpful for high pressure condition.

Th e HuSCL concentration we used in this proof-of-concept dem-onstration was ~1000/mL, which was much higher than concentration of cancer stem cells or tumor cells found in circulation in real clinical samples (1~10/mL)55. Using a higher concentration allowed us to focus on the demonstration of the device, and simplifi ed characterization and optimization even when separation effi ciency was low and few target cells were separated. In future studies focused on purifi cation of circulating tumor and cancer stem cells from clinical blood samples, target cells with lower concentration will be used to validate isolation of these extremely rare cells. Furthermore, parallelization of this device into array may be necessary to increase the overall throughput for real clinical application.

In summary, we have demonstrated an inertial microfl uidic device with double sorting and purifi cation function for size-based sorting of the larger cells from a massive number of the smaller background cells. Our vortex-aided sorting platform off ers several unique advantages, including the effi cient removal of high-concentration background cells and sorting of rare target cells, fl exible tuning of the cutoff s according to the samples as well as automated continuous sorting with minimal human interactions. We envision that this platform has the potential to become a suitable candidate for sorting and purifi cation of rare cellular components from complex sample matrices in cellular sample preparation applications.

ACKNOWLEDGEMENTSThis work was supported in part by the NSF Center for Advanced Design & Manufacturing of Integrated Microfl uidics (CADMIM) and the Ohio Center of Microfl uidic Innovation (OCMI) at the University of Cincinnati. We gratefully thank Dr. S. Kasper and Dr. N. Nivedita for valuable discussions and help with culture of HuSLCs and preparation of spiked samples.

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SUPPLEMENTARY INFORMATION

Supplementary Note 1: A single-sorting-unit device with tunable resistance ratio for cutoff studyWe used the setup as shown in Supplementary Fig. 1 to study the infl uence of the fl ow rate Q and the resistance ratio σ (σ = r/R) of the side and the middle outlets on the sorting cutoff diameter. Th e device has an upstream straight microchannel (30 μm × 50 μm × 25 mm w × h × l) followed by a microchamber (500 μm × 500 μm Wc × Lc) with 11 pairs of side outlets and a middle outlet. We used our customized PDMS/tubing plugs to selectively block the outlets to achieve diff erent resistance ratios. Th e plugs were fabricated by injecting PDMS into the tubing and cure at 80°C for 2 hours. Aft er curing, the tubings were cut into short pieces and used as plugs. We can switch the positions of the O2 and O3 to change the length of side outlets providing σ from 2~22. For example, in Fig. 1a, we blocked all the outlets except the 4th outlets. Th is setup provides a resistance ratio σ of ~ 8. If we moved further to 5th outlets, the resistance ratio σ increases to 10. Th is tuning setup can be integrated into the vortex-aided sorting system for cutoff tuning without refabrication and redevelopment of the device.

To measure the sorting cutoff diameter at certain combination of Q and σ, we introduced a microbead mixture with continuous size distribu-tion from 7 μm to 23 μm. As shown in Fig. 1c, microbeads larger than the cutoff will exit through the side outlets O2 and O3, microbeads smaller than the cutoff will exit through the middle outlet O1. We collected the samples from the side and the middle outlets and analyzed the size distributions and concentrations using Image pro plus. Based on the concentrations and sample volumes, we estimated the count of each sized microbeads in the side and the middle outlets and normalized the count and plot as a histogram of the normalized count and the diameter. As shown in Fig. 1d, the sorting cutoff at Q = 200 μL/min and σ = 8.5 is located at 18 μm where the normalized count is 0.5.

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Supplementary Figure 1 The setup for studying the infl uence of the fl ow rate Q and the resistance ratio σ (σ = r/R) of the side and the middle outlets on the sorting cutoff diameter. (a) AutoCAD layout of a single sorting unit with tunable resistance ratio. O1 is the middle outlet. O2 and O3 are the side outlets. The black crosses indicate the outlets that were blocked by the plugs. The red solid line represents the resistance channel of the middle outlet. The two blue solid lines represent the resistance channels of the side outlets. (b) A photograph of the actual device with the tunable setup. (c) Bright microscopic image showing sorting of microbeads with continuous size distribution from 7 μm to 23 μm. Two hundred images were stacked to illustrate the particle trajectories. (d) Histogram of the normalized count indicates the sorting cutoff at certain Q and σ.

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