Magnetic Nanoparticle Distribution in Microfluidic Chip
20210299656 · 2021-09-30
Assignee
Inventors
- Lidija MALIC (Montreal, CA)
- Liviu CLIME (Longueuil, CA)
- Daniel BRASSARD (Longueuil, CA)
- Xuefeng Zhang (Boucherville, CA)
- Teodor VERES (Montreal, CA)
Cpc classification
B01L3/502707
PERFORMING OPERATIONS; TRANSPORTING
B82Y40/00
PERFORMING OPERATIONS; TRANSPORTING
B03C1/025
PERFORMING OPERATIONS; TRANSPORTING
B82Y25/00
PERFORMING OPERATIONS; TRANSPORTING
G01N2035/00237
PHYSICS
B01L3/50273
PERFORMING OPERATIONS; TRANSPORTING
B01L2200/0668
PERFORMING OPERATIONS; TRANSPORTING
H01F1/33
ELECTRICITY
B82B3/0052
PERFORMING OPERATIONS; TRANSPORTING
G01N35/0098
PHYSICS
B01L2400/086
PERFORMING OPERATIONS; TRANSPORTING
B82Y30/00
PERFORMING OPERATIONS; TRANSPORTING
B01L3/502715
PERFORMING OPERATIONS; TRANSPORTING
B82Y35/00
PERFORMING OPERATIONS; TRANSPORTING
G01N1/28
PHYSICS
B01L3/502761
PERFORMING OPERATIONS; TRANSPORTING
International classification
B01L3/00
PERFORMING OPERATIONS; TRANSPORTING
B03C1/025
PERFORMING OPERATIONS; TRANSPORTING
Abstract
The present invention relates into a device and method for controlling distribution of superparamagnetic nanoparticles (NPs) in a microfluidic chamber. By applying a strong magnetic field, localization of the NPs to inter-pillar spaces between soft magnetic coated micropillars is demonstrated, even with a modest fluid flow across the inter-pillar space. Flow splitting techniques are also provided to force particles to reliably interact with the NPs, specifically by using a Brevais lattice with a primative vector of 1°-15° with respect to flow direction. The pillars may have non-circular cross-sectional shape and be arranged to direct NP clouds more effectively. An array of the pillars has multiple axes for rotating NP cloud distributions in multiple orientations, allowing for a rotating magnetic field to move the NP cloud for mixing a fluid that is otherwise stationary.
Claims
1. Controlling superparamagnetic nanoparticle distribution in a microfluidic chamber of a microfluidic chip, where: at least one row of at least 3 magnetically coated pillars are provided in a wall of the chamber, the pillars having a minimum separation with neighbors of 0.2-500 μm, an aspect ratio greater than 2:1, and a mean diameter of 1-1000 μm, where a polyline connects centres of the pillars; and a fluid is contained in the chamber surrounding the pillars, the fluid suspending superparamagnetic nanoparticles (NPs) that are self-repellant to reduce agglomeration; by: applying a magnetic field to the chamber using magnets that are outside of the microfluidic chip, the magnetic field having a local field line that is at least 75% aligned with each segment of the polyline, wherein the NPs, pillars, and thickness of the magnetic coating of the pillars, are selected so that the NPs are substantially distributed between the pillars in that at least one of the following obtains: a NP density at every point between two adjacent pillars of a single row is at least 50% higher than the NP density midway between two adjacent rows; a NP density at every point between two adjacent pillars of a single row is at least 50% higher than the NP density a distance normal to the polyline equal to a mean separation of the pillars; a mean NP density in inter-pillar spaces between adjacent pillars is at least 10 times higher than a mean NP density within the chamber; a magnified view from a direction in which end faces of the pillars are in view, there are no visible gaps in the NP density between adjacent pillars of a single row, and visible gaps across at least 80% of the chamber away from the rows.
2. Controlling according to claim 1 wherein at least ⅓ of the NPs have a surface or subsurface coating for electrostatically, sterically, or chemically repelling like particles, and the NPs are surface functionalized to selectively bond to a target analyte.
3. Controlling according to claim 1 wherein the NPs are distributed substantially only between the pillars in that at least 80% of the NPs are retained within one or more strips centred on the polylines, with a strip thickness of twice a mean diameter of the pillars.
4. Controlling according to claim 1 wherein the pillars are coated with one of: a soft magnetic shell of thickness of 0.1-20 μm, composed of a nickel-based alloy; and a soft magnetic shell of thickness of 0.1-20 μm, composed of a nickel-based alloy coated with a gold passivation layer.
5. Controlling according to claim 1 further comprising flowing a sample fluid through the chamber across the NP distribution for NP analyte capture while the magnetic field is applied.
6. Controlling according to claim 5 wherein the wall includes at least 3 rows that form a two-dimensional Bravais lattice of the pillars, with one of the primitive vectors of the lattice being oriented at an angle between 1° and 15° with respect to the liquid flow through the chamber.
7. Controlling according to claim 6 wherein the magnetic field is oriented: in a direction that minimizes an inter-pillar space between adjacent pillars of row; in a direction of one of two primitive vectors of a two-dimensional Bravais lattice of defined by the at least one row; or in a flow direction through the chamber, which is oriented at an angle between 1° and 15° with respect to one of two primitive vectors of a two-dimensional Bravais lattice of defined by the at least one row.
8. (canceled)
9. Controlling according to claim 8 wherein flushing is accomplished only with fluid dynamics, and without magnetic guidance, or a density or spatial distribution of the NPs is increased within the detection chamber by mechanical, flow, magnetic or ultrasonic filtration.
10. Controlling according to claim 5 wherein the sample fluid, after flowing through the chamber, travels through a second chamber bearing a respective wall with pillars and a fluid suspending at least one second NP distribution with NPs functionalized to selectively bond to at least one second analyte, where a single magnetic field applies fields across the chamber and the second chamber concurrently.
11. Controlling according to claim 10 wherein the chamber and second chamber are stacked horizontally on separately bonded and aligned microfluidic chips.
12. Controlling according to claim 1 where: the pillars have a mean separation of 1-100 μm, an aspect ratio greater than 3:1, and a mean diameter of 10-300 μm; the NPs are electrostatically charged to prevent agglomeration; the magnetic field has a local field line that is at least 90% aligned with the segments of the polyline, and has a magnetic field strength of at least 110 kA/m across this local field line; and during the application of the magnetic field, the NPs are distributed substantially only between the pillars in that at least 80% of the NPs are retained within one or more strips centred on the polylines, with a strip thickness of twice a mean diameter of the pillars.
13. Controlling according to claim 1 where: the pillars have a mean separation of 20-80 μm, an aspect ratio greater than 5:1, and a mean diameter of 20-150 μm; the NPs are electrostatically charged to prevent agglomeration; the magnetic field has a local field line that is at least 90% aligned with the segments of the polyline, and has a magnetic field strength of at least 110 kA/m across this local field line; and during the application, the NPs are distributed substantially only between the pillars in that at least 85% of the NPs are retained within one or more strips centred on the polylines, with a strip thickness of twice a mean diameter of the pillars.
14. Controlling according to claim 1 wherein the at least one row of at least 3 magnetically coated pillars further comprises an array having at least 2 axes, along each of which axes the pillars are arranged at least one row of at least 3 pillars with a minimum separation with neighbors of 0.2-500 μm, further comprising applying the magnetic field alternately along the axes to redistribute the NPs.
15. A microfluidic device comprising: a microfluidic chip with at least one wall of a microfluidic chamber, the wall supporting at least one row of at least 3 micropillars, where the micropillars of the row: are arrayed to form a polyline; have mean diameters of 1-1000 μm; have mean separations of 0.2-500 μm; have aspect ratios greater than 2:1; and are composed of a low susceptibility material coated with a soft magnetic material; a generator adapted to apply a magnetic field of at least 110 kAmp/m across the at least one row; and a support comprising a holder for the microfluidic chip in at least one prescribed position and orientation, and a registration feature for registering the generator in a position in which a field line of the magnetic field is at least 75% aligned with the polyline.
16. A microfluidic device according to claim 15 further comprising a sample introduction chamber, an analyte detection chamber, and a sample flush reservoir, the sample introduction chamber coupled to an ingress of the microfluidic chamber by an inlet channel, the microfluidic chamber coupled to the reservoir by an outlet channel, and the microfluidic chamber coupled to the detection chamber by a NP channel.
17. A microfluidic device according to claim 15 wherein each of the at least one wall of a microfluidic chamber, is provided as an insert into an opening within a patterned microfluidic chip.
18. A microfluidic device according to claim 15 wherein the soft magnetic coating comprises a soft magnetic shell of thickness of 0.1-20 μm, composed of a nickel-based alloy to ensure a low remanence.
19. A microfluidic device according to claim 15 wherein the microfluidic device comprises a plurality of the microfluidic chambers on one or more microfluidic chips, and the support comprises a holder for the one or more microfluidic chips in prescribed positions and orientations, and the registration feature registers the generator in a position in which one or more field lines of the magnetic field generated are at least 75% aligned with each of the respective polylines of the respective walls of the microfluidic chambers.
20. A microfluidic device according to claim 15 wherein the at least one row of at least 3 magnetically coated pillars comprises an array having at least 2 axes, along each of which axes at least one row of at least 3 pillars are arranged with a minimum separation with neighbors of 0.2-500 μm, the holder comprises a plurality of registration features for registering the generator in respective positions in which field lines of the magnetic fields are at least 75% aligned with the axes.
21. A kit comprising: the microfluidic device according to claim 15, and a fluid suspending superparamagnetic nanoparticles (NPs), the fluid being injectable into the microfluidic channel, wherein: the NPs are self-repellant to reduce agglomeration, and applying the magnetic field to the chamber with the magnet in registered position, with fluid in the microfluidic channel, substantially distributes the NPs between the pillars in that pillars in that at least one of the following obtains: a NP density at every point between two adjacent pillars of a single row is at least 50% higher than the NP density midway between two adjacent rows; a NP density at every point between two adjacent pillars of a single row is at least 50% higher than the NP density a distance normal to the polyline equal to a mean separation of the pillars; a mean NP density in inter-pillar spaces between adjacent pillars is at least 10 times higher than a mean NP density within the chamber; a magnified view from a direction in which end faces of the pillars are in view, there are no visible gaps in the NP density between adjacent pillars of a single row, and visible gaps across at least 80% of the chamber away from the rows.
22. A kit comprising: the microfluidic device according to claim 15, and a fluid suspending superparamagnetic nanoparticles (NPs), the fluid being injectable into the microfluidic channel, wherein the NPs: have a surface or subsurface coating that makes at least ⅓ of the particles electrostatically or chemically repel like particles; and are surface functionalized to selectively bond to an analyte.
23. A kit according to claim 22 wherein the microfluidic device has a plurality of microfluidic chambers, and a plurality of fluids are provided each suspending respective NP that are surface functionalized for selectively bonding to respective analytes; or the magnetic field is oriented: in a direction that minimizes an inter-pillar space between adjacent pillars of row; in a direction of one of two primitive vectors of a two-dimensional Bravais lattice of defined by the at least one row; or in a flow direction through the chamber, which is oriented at an angle between 1° and 15° with respect to one of two primitive vectors of a two-dimensional Bravais lattice of defined by the at least one row.
24. (canceled)
25. A microfluidic chip insert for insertion in a microfluidic chip to form a chamber, the insert comprising at least one wall for the chamber, the wall defining at least one row of at least 3 pillars, where the pillars: are arrayed to form a polyline; have mean diameters (d) of 1-1000 μm; have mean separations of 0.2-500 μm; have aspect ratios greater than 2:1; and comprise a soft magnetic coating; and the polyline meets an edge of each pillar where the extent of the pillar is d or greater.
26.-27. (canceled)
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0049] In order that the invention may be more clearly understood, embodiments thereof will now be described in detail by way of example, with reference to the accompanying drawings, in which:
[0050]
[0051]
[0052]
[0053]
[0054]
[0055]
[0056]
[0057]
[0058]
[0059]
DESCRIPTION OF PREFERRED EMBODIMENTS
[0060] Herein a technique is described for distributing MNPs to form a cloud region between magnetic micropillars of a microfluidic chamber in a microfluidic chip. Applicant has demonstrated that the cloud distribution can be maintained while a sample fluid passes through the cloud. Advantageously, the magnetic micropillars can be coated with a thickness of magnetic material that permits low remanence magnetic actuation.
[0061]
[0062] The shape of micropillar 10 and core 12 is an equilateral triangle, and an average circle C.sub.avg of the micropillar 10 is shown having a diameter d.sub.avg. For any shape, an average circumference can be calculated, for example by computing the radial coordinates of the perimeter about a centre of the micropillar 10, which will vary between two positive values minimum radius r.sub.m and maximum radius r.sub.m, and can be estimated by analysis of magnified images or by optical, mechanical, hydrostatic or hydrodynamic inspection.
[0063] The shape of the cross-section of the micropillar 10 can have substantially any form. The pillars do not absolutely have to have a constant cross-section shape, area or dimension as a function of height, and can generally taper slightly for easier demolding if that is the forming route for the micropillar cores 12. That said, a mass of the coating 14 at all elevations from a base of the micropillar 10 is uniform enough to provide continuity of the magnetic field. This mass is preferably distributed substantially completely around the core 12 (at least) at most elevations, to ensure good attachment of the coating 14. If electroless plating is used to deposit the coating 14, the mass deposited at every elevation is proportional to the perimeter at that elevation, and so a perimeter of the pillars may be reduced by less than 10% from base to highest elevation, even if tapered. If a higher taper is required, it can be achieved with a gradual transition of a core base having a more circular form and a top having shape with a higher perimeter to area ratio.
[0064]
[0065] As shown in
[0066] A space between the pillars is bounded by a cross-hatched area on a wall 15 and the pillars 10.
[0067] The micropillars 10 have uniform height h greater than 2 μm, and less than 2 mm, and an aspect ratio (AR) given by h:d.sub.avg of 2:1 or greater, more preferably 3:1, 5:1 or even 10:1. The aspect ratio is important for providing high throughput with low hydrodynamic resistance, and increasing a volume of the space between the pillars as a fraction of the volume of the chamber. The pillars preferably extend between two opposite walls of the chamber. The high aspect ratio improves a uniformity of the magnetic field gradients.
[0068] Note that microfluidic rheology also plays a part in the preferred layouts of these micropillars 10: as flow through these micropillars 10 will be laminar, a velocity gradient will naturally form between the micropillars 10 with slowest flow nearest the micropillars 10, and fastest midway therebetween. By selecting an arrangement and profile of the microfluidic pillars 10, this gradient can be minimized, to improve capture efficiency. Thus while a flat bottom surface 15 of a wall of a microfluidic chamber is shown in
[0069] It is noted that a shape and distribution of the micropillars 10 can be chosen to improve control over the nanoparticle distribution between neighboring pillars. In general, the shape and the orientation of the pillars is designed to create “anchor” points for the nanoparticle regions: i.e. spots where high magnetic capture forces (high gradient fields) are coincident with the stagnation points in the microfluidic flow. This allows the nanoparticle regions to extend from one anchor point to another anchor point with minimum depletion caused by the flow between the pillars.
[0070]
[0071]
[0072]
[0073] While the elongated structures of
[0074] Approximations to any of these micropillar structures may be used, particularly those that are more easily patterned, more reliably patterned, or that exhibit least consequences to MNP distribution under applied field of imperfect forming.
[0075]
[0076]
[0077]
[0078] It will be noted that while each of the arrays of micropillars shown consist only of one kind (shape, size, orientation), and further that the spacing and arrangements have been exemplified by only a few arrangements, as long as the micropillars are of a satisfactory size, shape, and separation, and have sufficient soft magnetic material, they will collectively define capture and depletion regions that cooperate with adjacent capture and depletion regions of neighbouring micropillars, to permit (with the application of a sufficiently strong magnetic field) the retention of MNPs in a cloud configuration, to resist a modest fluid throughput.
[0079]
[0080]
[0081] An electroless plating process may be applied to metallize the substrate 19 with the soft magnetic metal coatings of previously described composition. Other coating techniques that form consistent distributions of the soft magnetic material can alternatively be used, including bath/immersion or solvent based deposition techniques similar to electroless plating with controlled surface adhesion, and mechanical insertion of coated non-magnetic rods or threads through the substrate 19 by a template, die, or registered machine. The former technique may offer better anchoring of the micropillars, while the latter techniques may avoid metallization of floor of the insert 20, reserving the metal for where it is needed for gradient field generation. The floor acts like an in-plane magnetized thin film, with minimal effect on the magnetic field within chamber. Magnetically isolated pillars can be produced by electrodeposition through porous membranes followed by gently removing (dissolving) the membranes afterwards. Side walls of the insert for the chamber may be defined in the insert, if alignment and integration with fluid paths of the chamber of the chip can be arranged. An advantage of coating side walls adjacent to the rows is the formation of cloud regions between pillars and the walls, and thus extending all the way across the chamber. In this way a large number (31 shown in the present example, but any other number is possible) of inserts 20 can be formed. The metallized substrate is diced to produce the inserts.
[0082]
[0083] A slot 29 is provided in the chip 22 for aligning a magnet with the inserts, such that magnetic field lines are substantially aligned with the rows of micropillars in each of the 4 magnetic chambers.
[0084] While irrelevant to the drawing, it will be appreciated that the chip 22 conventionally has a top cover bonded thereto, that would typically be transparent. If so the transparent cover has holes aligned with MNP loading inlets 26, or suitable puncture films, for loading via a syringe or dropper in one of the various ways known in the art. Likewise ports or air holes in fluid communication with the detection chambers 28 are open to ambience, or may be subjected to a negative pressure, in order to imbibe the MNPs in a fluid (typically liquid) carrier 30.
[0085] It will be appreciated that other routes for producing a magnetic chamber 21 in a microfluidic chip 22 with the requisite micropillars 10 that have soft magnetic coatings over non-magnetic cores, can alternatively be used, and so some aspects of the present invention begin with
[0086]
[0087] The MNP fluid carrier 30 moves into the magnetic chamber 21, for example under the action of capillarity, centrifuge, or a pressure differential between the respective port and the loading inlet 26. A higher surface area of the magnetic chamber 21 as a result of the micropillars naturally improves the capillarity attraction of the MNP fluid 30, and preferably encourages a coverage of the micropillar array from edge to edge of the insert 20, which defines the boundaries of the chamber 21. Surface tension and the capillary effect may be sufficient to draw the carrier 30 over the micropillar array, for a suitable fluid, and otherwise vacuum pressure at ports of the chip may be required.
[0088] After loading, a magnetic field is applied with a permanent magnet 33 having one pole inserted within the registration slot 29, as shown in
[0089]
[0090]
[0091] As shown in
[0092]
[0093] While there are several arrangements that may make favourable use of bump arrays of magnetic coated pillars in accordance with the present invention, particular attention is drawn to arrangements of the pillars that are parallel to the stream line, or parallel to the deviated bump path that is defined by the angle. An orientation of the magnetic field substantially perpendicular to both of these will have equal probability of capturing particles above and below the critical size. An orientation of the magnetic field substantially parallel to the stream line will increase probability of binding target particles following the bump path, and an orientation of the magnetic field in the direction of the bumped path will preferentially interact with zigzagging particles, such as biological cells. As other particles size selected to paths, and the paths are not equally encouraged to pass through the MNP-dense inter-pillar spaces, particles that are not encouraged to pass do not interact with the MNPs, which can be efficient for selecting MNP interactions.
[0094] An illustrative trace 31 of a single particle as it approaches, and passes between the micropillars 10 is shown. The particle typically interacts with the array by a weaving motion as it approaches the spaces between the micropillars 10 prior to and after passing through the space between two micropillars (assuming the row shift fraction is less than ½). The weaving motion is somewhat akin to motion of a bump array of a deterministic lateral displacement array. Not only does the particle have increased probability of capture by the MNPs during the crossing, but also before and after. The typical trace 31 brings the particle much closer to stagnation points near a periphery of the micropillars than a substantially normal flow through approach. Comparatively, the zig-zagging particles which alternate between stream lines, remain preferentially directed towards the stream direction furthest from the pillars. Furthermore, during the pass through the inter-pillar space, a probability that a particle will remain within a central part of the spacing between the micropillars, where a flow is fastest and a density of the MNPs is lowest, is much greater with the substantially normal flow through approach.
[0095] It should also be noted that the trace gives a false impression that the speed of the particle is uniform. The speed of the particle is mostly determined by the flow speed of the carrier liquid, which varies according to laminar flow lines. While inertia may cause some acceleration of the particle with respect to the fluid flow during a deceleration or acceleration of the liquid nearing the pillar array, the particle will dwell near the periphery of the micropillars, and thus the time and location of the particle throughout the trace 31 is expected to offer a much higher probability of interaction, resulting in a higher capture efficiency process.
[0096]
[0097]
Example
[0098] A magnetic capture device and apparatus, and it's fabrication has been described.sup.25, the entire content of which is incorporated herein by reference, including the supplementary information material. The magnetic capture device was filled with a 500 ng/ml concentration dispersion of superparamagnetic iron-oxide core silica shell nanoparticles. For present purposes, the NPs used were equivalent to NPs available from a variety of commercial suppliers. The chamber was 30 mm×17 mm. A pair of permanent magnets was initially placed at the opposite edges of the device. The magnets were 1 cm×5 cm×10 cm at a distance of 5.8 cm from each other. They generated a substantially uniform magnetic field within the capture region. We expect the graphs showing the magnetic field along different directions (for example
[0099]
[0100] The obtained magnetic cloud was subsequently used for capture and release of fluorescently labeled heat-killed bacteria. Initially, a pair of permanent magnets was positioned perpendicularly to the flow within the microfluidic chamber, and the chamber was filled by flowing, at a flow rate of 25 μl/min, 50 μl volume of 500 ng/ml concentration of a dispersion of anti-listeria antibody functionalized superparamagnetic iron-oxide core silica shell nanoparticles similar to those described previously.sup.25. This allowed formation of inter-pillar cloud regions throughout the microfluidic chamber. Subsequently, 1 ml volume of fluorescently labeled heat-killed Listeria monocytogenes, at a concentration of 10E4 bacteria/ml, was flowed through the microfluidic chamber at a flow rate of 100 μl/min. The flow was perpendicular to the inter-pillar regions. Following 10 minutes of the flow, the magnetic field was removed, and the captured species were released from the chamber with buffer wash for three minutes.
[0101]
[0102]
[0103] Other advantages that are inherent to the structure are obvious to one skilled in the art. The embodiments are described herein illustratively and are not meant to limit the scope of the invention as claimed. Variations of the foregoing embodiments will be evident to a person of ordinary skill and are intended by the inventor to be encompassed by the following claims.
REFERENCES
[0104] 1. H. P. Dwivedi and L.-A. Jaykus, Critical Reviews in Microbiology, 2011, 37, 40-63. [0105] 2. A. K. Bhunia, Future Microbiology, 2014, 9, 935-946. [0106] 3. B. Brehm-Stecher, C. Young, L.-A. Jaykus and M. L. Tortorello, Journal of Food Protection, 2009, 72, 1774-1789. [0107] 4. M. A. M. Gijs, F. Lacharme and U. Lehmann, Chemical Reviews, 2010, 110, 1518-1563. [0108] 5. Q. Ramadan and M. M. Gijs, Microfluidics and Nanofluidics, 2012, 13, 529-542. [0109] 6. N. Pamme and C. Wilhelm, Lab on a Chip, 2006, 6, 974-980. [0110] 7. B. Ngamsom, M. J. Lopez-Martinez, M. M. N. Esfahani, J. C. Raymond, P. Broyer, P. Patel and N. Pamme, Proc. MicroTAS 2014, San Antonio, Tex., USA, 2014, 1190-1192. [0111] 8. N. Rezlescu, V. Murariu, O. Rotariu and V. Badescu, Powder technology, 1995, 83, 259-264. [0112] 9. D. W. Inglis, R. Riehn, R. H. Austin and J. C. Sturm, Applied Physics Letters, 2004, 85, 5093-5095. [0113] 10. D. W. Inglis, R. Riehn, J. C. Sturm and R. H. Austin, Journal of Applied Physics, 2006, 99, 08K101. [0114] 11. M. Franzreb, W. Holl and C. Hoffmann, U.S. Pat. No. 6,688,473. [0115] 12. M. Takayasu, E. Maxwell and D. Kelland, Magnetics, IEEE Transactions on, 1984, 20, 1186-1188. [0116] 13. M. Bu, T. B. Christensen, K. Simstrup, A. Wolff, M. F. Hansen, Sensors and Actuators A 2008, 145-146, 430-436. [0117] 14. C. P. Gooneratne and J. Kosel, Proceedings of the Sixth International Conference on Sensing Technology (IEEE, 2012), p. 97. [0118] 15. E. Mirowski, J. Moreland, S. E. Russek and M. J. Donahue, Applied Physics Letters, 2004, 84, 1786-1788. [0119] 16. K. Smistrup, B. Kjeldsen, J. Reimers, M. Dufva, J. Petersen and M. F. Hansen, Lab on a Chip, 2005, 5, 1315-1319. [0120] 17. T. Deng, M. Prentiss and G. M. Whitesides, Applied Physics Letters, 2002, 80, 461-463. [0121] 18. X. Yu, X. Feng, J. Hu, Z.-L. Zhang and D.-W. Pang, Langmuir, 2011, 27, 5147-5156. [0122] 19. X. Yu, R. He, S. Li, B. Cai, L. Zhao, L. Liao, W. Liu, Q. Zeng, H. Wang, S.-S. Guo and X.-Z. Zhao, Small, 2013, 9, 3895-3901. [0123] 20. Y.-J. Liu, S.-S. Guo, Z.-L. Zhang, W.-H. Huang, D. Baigl, M. Xie, Y. Chen and D.-W. Pang, Electrophoresis, 2007, 28, 4713-4722. [0124] 21. S. A. Khashan and E. P. Furlani, Journal of Physics D: Applied Physics, 2013, 46, 125002. [0125] 22. J. D. Adams, U. Kim and H. T. Soh, Proceedings of the National Academy of Sciences, 2008, 105, 18165-18170. [0126] 23. S. Kim, S.-I. Han, M.-J. Park, C.-W. Jeon, Y.-D. Joo, I.-H. Choi and K.-H. Han, Analytical Chemistry, 2013, 85, 2779-2786. [0127] 24. S. Khashan, A. Alazzam and E. Furlani, Scientific Reports, 2014, 4, 5299 [0128] 25. L. Malic, X. F. Zhang, D. Brassard, L. Clime, J. Daoud, C. Luebbert, V. Barrere, A. Boutin, S. Bidawid, J. Farber, N. Corneau and T. Veres, Lab on a Chip, 2015, 15, 3994-4007. [0129] 26. L. R. Huang, E. C. Cox, R. H. Austin, and J. C. Sturm, Science, 2004, 304, p. 987-990. [0130] 27. Inglis et al., Lab on Chip 2006, vol. 6, page. 655.