High-efficiency encapsulation in droplets based on hydrodynamic vortices control

Abstract

An interfacial technique utilizes hydrodynamic micro-vortices to perform (i) high efficiency single cell encapsulation and (ii) size-selective capturing of cells based on their sizes in a single microfluidic device. A notable feature of this technique is that it can perform high efficiency single cell encapsulation at low cell concentrations, and this technique is all passive, controlled only by the flow rates of the two phases and does not require complex structures or on-chip active devices. Single bead/cell encapsulation was demonstrated at 50% efficiency, which is at least 10 times greater than the random encapsulations at the introduced cell concentrations. Also demonstrated is the selective trapping of cells based on their sizes. This present technique expands the capabilities of droplet microfluidics for applications ranging from single cell genomics, proteomic assays to sample preparation.

Claims

1. A method for encapsulating a sample (102) in a droplet (104), said method comprising: a. providing a microfluidic device (100) comprising: i. a combining channel (110); ii. a first continuous phase channel (120) having a portion thereof disposed on one side of the combining channel; iii. a second continuous phase channel (130) having a portion thereof disposed on an opposite side of the combining channel, wherein said portions of the first and second continuous phase channels intersect at a terminal end of the combining channel to form an intersection region (140); and iv. an output channel (160) fluidly coupled to the intersection region (140); b. flowing a dispersed phase fluid (106) through the combining channel (110) at a first flow rate (v.sub.d), wherein the dispersed phase fluid (106) comprises at least two flow streams (107), wherein one or both of said flow streams (107) comprises dispersed samples (102); c. co-flowing a continuous phase fluid (108) through each of the first and second continuous phase channels (120, 130) at a second flow rate (v.sub.c), wherein the continuous phase fluid (108) intersect the dispersed phase fluid (106) at the intersection region (140), wherein a droplet shearing junction (145) is formed within the intersection region (140) as the continuous phase fluid (108) merges with the dispersed phase fluid (106), wherein the droplet shearing junction (145) comprises an orifice (147) fluidly coupling the output channel (160) to the intersection region (140); d. adjusting v.sub.d, v.sub.c, or both such that the continuous phase fluid (108) forms a high shear interface (109) with the dispersed phase fluid (106) at the intersection region (140); e. adjusting v.sub.d, v.sub.c, or both to generate a vortex region (150) in the dispersed phase fluid (106) at the intersection region (140), wherein the vortex region (150) comprises two vortices (152) each formed by one of the flow streams (107); f. adjusting v.sub.d, v.sub.c, or both to trap and re-circulate the samples (102) within the vortices (152); and g. adjusting v.sub.d, v.sub.c, or both to release the samples (102) from the vortices (152) and generate droplets (104) encapsulating one sample (102) at the droplet shearing junction (145).

2. The method of claim 1, wherein each vortex (152) has an outer stream (154) disposed between an outermost streamline (156) of the vortex and the adjacent high shear interface (109), wherein each outer stream (154) is fluidly coupled to the orifice (147), wherein each outer stream (154) has a maximum width, d.sub.gap, between the outermost streamline (156) of each vortex and the adjacent high shear interface (109), wherein d.sub.gap is reduced when adjusting the flow rates to trap and re-circulate the samples (102), wherein d.sub.gap is widened when adjusting the flow rates to release the samples (102) from the vortices (152) and into their respective outer stream (154) for encapsulation at the droplet shearing junction (145).

3. The method of claim 2, wherein v.sub.d, v.sub.c, or both are adjusted such that a ratio of v.sub.d to v.sub.c reduces d.sub.gap to be less than half a diameter of the samples, thereby trapping, re-circulating, and accumulating the samples (102) within the vortices (152), and further reducing a width of the orifice to prevent encapsulation, wherein v.sub.d, v.sub.c, or both are adjusted such that the ratio of v.sub.d to v.sub.c increases d.sub.gap to be about -1.5 the diameter of the samples, thereby releasing the samples from the vortices into the outer streams, and further increasing the width of the orifice to allow for encapsulation of a single sample in one droplet, or co-encapsulation of two different samples in one droplet.

4. The method of claim 1, wherein the microfluidic device (100) comprises a first dispersed phase channel (114) comprising one of the flow streams (107) forming the dispersed phase fluid (106), and a second dispersed phase channel (116) comprising the other flow stream (107), wherein the first and second dispersed phase channels (114, 116) merge to form the combining channel.

5. The method of claim 4, wherein the microfluidic device (100) further comprises an aqueous phase channel (117) intersecting with the first and second dispersed phase channels (114, 116), wherein the aqueous phase channel (117) comprises aqueous phase fluid (118), wherein the aqueous phase fluid (118) flows in the combining channel (110) such that the aqueous phase fluid (118) forms a laminar interface stream (119) between the two flow streams (107).

6. The method of claim 1, wherein the dispersed samples (102) comprises a plurality of cells flowing in one flow stream (107), and a plurality of particles flowing in the other flow stream (107), wherein at the intersection region (140), the cells are disposed in one vortex (152a) and the particles are disposed in the other vortex (152b), wherein when adjusting the flow rate for release, one cell is released from its vortex (152a) into its outermost stream (154a) and one particle is released from its vortex (152b) into its outermost stream (154b), wherein the one cell and the one particle are co-encapsulated in the one droplet (104) as said droplet is formed at the droplet shearing junction (140), wherein the droplet (104) co-encapsulating the one cell and one particle is released from the orifice (147) into the output channel (160).

7. The method of claim 1, wherein the dispersed samples (102) are either cells or particles, wherein one sample (102) is encapsulated as the droplet (104) is formed at the droplet shearing junction (140), wherein the droplet (104) encapsulating the one sample (102) is released from the orifice (147) into the output channel (160).

8. The method of claim 1, wherein the width of any of the microfluidic channels ranges from about 30 m to about 60 m.

9. The method of claim 8, wherein a length and a width of the intersection region are each about 3 to 5 times the width of any of the microfluidic channels.

10. A method for size-selective sorting and encapsulation of a solid sample (102) in a droplet (104), said method comprising: a. providing a microfluidic device (100) comprising: i. a combining channel (110); ii. a first continuous phase channel (120) having a portion thereof disposed on one side of the combining channel; iii. a second continuous phase channel (130) having a portion thereof disposed on an opposite side of the combining channel, wherein said portions of the first and second continuous phase channels intersect at a terminal end of the combining channel to form an intersection region (140); and i. an output channel (160) fluidly coupled to the intersection region (140); b. flowing a dispersed phase fluid (106) through the combining channel (110) at a first flow rate (v.sub.d), wherein the dispersed phase fluid (106) comprises at least two flow streams (107), wherein one or both of said flow streams (107) comprises dispersed samples (102) having varying sizes; c. co-flowing a continuous phase fluid (108) through each of the first and second continuous phase channels (120, 130) at a second flow rate (v.sub.c), wherein the continuous phase fluid (108) intersect the dispersed phase fluid (106) at the intersection region (140), wherein a droplet shearing junction (145) is formed within the intersection region (140) as the continuous phase fluid (108) merges with the dispersed phase fluid (106), wherein the droplet shearing junction (145) comprises an orifice (147) fluidly coupling the output channel (160) to the intersection region (140); d. adjusting v.sub.d, v.sub.c, or both such that the continuous phase fluid (108) forms a high shear interface (109) with the dispersed phase fluid (106) at the intersection region (140); e. adjusting v.sub.d, v.sub.c, or both to generate a vortex region (150) in the dispersed phase fluid (106) at the intersection region (140), wherein the vortex region (150) comprises two vortices (152) each formed by one of the flow streams (107); f. adjusting v.sub.d, v.sub.c, or both to trap and re-circulate the samples (102) within the vortices (152); g. adjusting v.sub.d, v.sub.c, or both to release samples (102) of smallest size from the vortices (152) and generate droplets (104) encapsulating one of said samples (102) at the droplet shearing junction (145), wherein the larger-sized samples (102) remain trapped in the vortices (152); and h. repeatedly adjusting v.sub.d, v.sub.c, or both such that release of similarly-sized samples from the vortices (152) and droplet encapsulation of one such solid sample occur in groupings ordered from smaller-sized samples to largest-sized solid samples.

11. The method of claim 10, wherein each vortex (152) has an outer stream (154) disposed between an outermost streamline (156) of the vortex and the adjacent high shear interface (109), wherein each outer stream (154) is fluidly coupled to the orifice (147), wherein each outer stream (154) has a maximum width, d.sub.gap, between the outermost streamline (156) of each vortex and its adjacent high shear interface (109), wherein d.sub.gap is reduced when adjusting the flow rates to trap and re-circulate the samples (102), wherein d.sub.gap is widened when adjusting the flow rates to release the samples (102) from the vortices (152) and into their respective outer stream (154) for encapsulation at the droplet shearing junction (145).

12. The method of claim 11, wherein v.sub.d, v.sub.c, or both are adjusted such that a ratio of v.sub.d to v.sub.c reduces d.sub.gap to be less than half a diameter of the smallest-sized samples, thereby trapping, re-circulating, and accumulating the samples within the vortices, and further reducing a width of the orifice to prevent encapsulation, wherein for each group of similarly-sized samples, v.sub.d, v.sub.c, or both are adjusted such that the ratio of v.sub.d to v.sub.c increases d.sub.gap to be about -1.5 the diameter of said samples, thereby releasing only said samples from the vortices while larger-sized solid samples remain trapped in the vortices, wherein the width of the orifice is increased to allow for encapsulation of one such sample in one droplet.

13. The method of claim 10, wherein the microfluidic device (100) comprises a first dispersed phase channel (114) comprising one of the flow streams (107) forming the dispersed phase fluid (106), and a second dispersed phase channel (116) comprising the other flow stream (107), wherein the first and second dispersed phase channels (114, 116) merge to form the combining channel.

14. The method of claim 13, wherein the microfluidic device (100) further comprises an aqueous phase channel (117) intersecting with the first and second dispersed phase channels (114, 116), wherein the aqueous phase channel (117) comprises aqueous phase fluid (118), wherein the aqueous phase fluid (118) flows in the combining channel (110) such that the aqueous phase fluid (118) forms a laminar interface stream (119) between the two flow streams (107).

15. The method of claim 10, wherein the dispersed samples (102) comprise a plurality of cells, particles, or a combination thereof having varying diameters, wherein the samples are released in groupings of smallest to largest diameter from the vortices (152) into the outer streams (154) and a single sample (102) is encapsulated in one droplet (104) as said droplet is formed at the droplet shearing junction (145) and released from the orifice (147) into the output channel (160).

16. The method of claim 15, wherein the cells are animal cells, plant cells, algae cells, fungal cells, bacterial cells, or a combination thereof.

17. The method of claim 15, wherein the cells are protoplasts, pollen grains, microspores, or tetrads.

18. The method of claim 15, wherein the cells comprise red blood cells, white blood cells, and platelets.

19. The method of claim 15, wherein the particles are beads.

20. A microfluidic device (100) for encapsulating a sample (102) in a droplet (104), said microfluidic device (100) comprising: a. a combining channel (110) having a dispersed phase fluid (106) flowing therein at a first flow rate (v.sub.d), wherein the dispersed phase fluid (106) comprises at least two flow streams (107), wherein one or both of said flow streams (107) comprises dispersed samples (102); b. a continuous phase channel network (120) having a continuous phase fluid (108) flowing therein at a second flow rate (v.sub.c); c. an intersection region (140) formed by the continuous phase channel network (120) intersecting a terminal end of the combining channel, wherein the continuous phase fluid (108) intersects the dispersed phase fluid (106) to form a high shear interface (109) with the dispersed phase fluid, wherein the intersection region comprises i) a droplet shearing junction (145) formed as the continuous phase fluid (108) merges with the dispersed phase fluid (106), wherein the droplet shearing junction (145) comprises an orifice (147), and ii) a vortex region (150) comprising two vortices each formed by one of the flow streams (107); d. an output channel (150) fluidly coupled to the intersection region (140) via the orifice (147); and e. a fluid flow controller (170) configured to perform operations comprising: i. adjusting v.sub.d, v.sub.c, or both to trap and re-circulate the samples (102) within the vortices (152); and ii. adjusting v.sub.d, v.sub.c, or both to release the samples (102) from the vortices (152) and generate droplets (104) encapsulating at least one sample (102) at the droplet shearing junction (145).

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) The features and advantages of the present invention will become apparent from a consideration of the following detailed description presented in connection with the accompanying drawings in which:

(2) FIG. 1 shows an exemplary mechanism of trapping cells and beads in an upper and lower vortex, respectively, followed by one-one-one (1-1-1) encapsulation, according to an embodiment of the present invention. Beyond a capillary number threshold, a relative shear imposed by a continuous phase on a dispersed phase results in three-dimensionally confined two independent vortices at the junction. Beads introduced from upper inlet are trapped in the upper vortex while cells flowed in through the lower inlets are trapped in the lower vortex.

(3) FIGS. 2A-2B show schematics of trapping mode and release mode respectively, herein collectively referred to as vortex mode. In FIG. 2A, the beads and the cells introduced from upper and lower inlets are initially trapped in the independent vortices. Intermixing of beads and cells are minimized by controlling the relative flow rates of the continuous and aqueous phases. In FIG. 2B, the beads and the cells are later released by precisely controlling flow rate ratio/droplet size.

(4) FIG. 3A shows a trapping of 10 m beads in the upper vortex and K-562 cells in the lower vortex.

(5) FIG. 3B shows a release of 10 m beads and k-562 cells into the droplets. The dashed circle shows a 1-1-1 droplet, and the dashed circle within the droplet indicates a presence of a cell.

(6) FIG. 4 is a graph of 1-1-1 encapsulation efficiency vs. pressure ratio of dispersed phase to continuous phase () using vortex mode with low cell concentrations.

(7) FIGS. 5A-5B show non-limiting examples of single cell encapsulation schematics. In the cell trapping mode of FIG. 5A, when d.sub.gap is smaller than the radius of the cells, all the cells get trapped and recirculate within the micro-vortices. In the cell release mode of FIG. 5B, increasing d.sub.gap to be comparable to the radius of the cell enables one-to-one encapsulations

(8) FIG. 6A shows a non-limiting computational fluid dynamic model (CFD) of the cell trapping mode.

(9) FIG. 6B shows a non-limiting CFD model of the cell release mode.

(10) FIGS. 7A-7B show exemplary images of 1 m single particle encapsulation using vortex mode.

(11) FIGS. 8A-8C show a vortex mode encapsulation of beads in the jetting regime. FIG. 8A show a trapping of 2.5 m beads in the micro-vortex. In FIG. 8B, jet breaking in the presence of beads leads to smaller droplets with beads in them. Empty droplets are larger in diameter compared to the bead-containing droplets. In FIG. 8C, the presence of the bead breaks the jet.

(12) FIG. 9 is a graph of single bead encapsulation efficiency with respect to the dispersed to continuous phase pressure ratio. With 2.5 m beads, the maximum single bead encapsulation efficiency is measured up to 50%.

(13) FIG. 10A shows single bead encapsulation of 4 m beads in the jetting regime.

(14) FIG. 10B shows single bead encapsulation of 7.32 m beads in the jetting regime.

(15) FIG. 10C shows a demonstration of the jet breaking scheme in the presence of 7.32 m beads.

(16) FIG. 11 shows single bead encapsulation in the dripping regime, including a graphical illustration of the average 1-1 encapsulation efficiency of 2.5 m beads in the droplets. The insets are zoomed-in images corresponding to the maximum encapsulation efficiency. The encapsulation efficiency increases with the dispersed to continuous pressure ratio (), reaches a maximum, and decreases thereafter due to multiple bead encapsulations.

(17) FIGS. 12A-12B shows vortex mode encapsulation of 7.32 m and 10 m beads (=0.19 for trapping and 0.23 for release) in the dripping regime.

(18) FIGS. 13A-13B is a comparison of the trap and release mechanism with random encapsulation at a fixed concentration. Unlike the random encapsulation, trapping increases the local concentration of cells in the micro-vortex before encapsulation, which increases the efficiency by greater than 10 times.

(19) FIG. 13C is an efficiency comparison chart of the trap and release technique versus random encapsulation.

(20) FIG. 14 shows a graph illustrating the 1-1 encapsulation efficiency of K-562 cells in the droplets. The insets are zoomed-in images corresponding to the maximum encapsulation efficiency. The encapsulation efficiency increases with the dispersed to continuous pressure ratio (), reaches a maximum, and decreases thereafter.

(21) FIGS. 15A-15B show single cell encapsulation schematics of size selective capture and release of platelets, RBCs and WBCs from the blood sample. FIG. 15A is an example schematic of a blood platelet release regime. The d.sub.gap is tuned to be comparable to the radius of the platelets as RBCs and WBCs are trapped and recirculate within the micro-vortices. FIG. 15B is an example schematic of a blood RBC release regime. Trapped blood cells are released in ascending order of their sizes by gradually increasing d.sub.gap such that following the platelets, RBCs and then WBCs are released. This technique utilizes the micro-vortex as a tool to perform size-selective capture of the cells from the sample.

(22) FIGS. 16A-16C show DAPI stained WBCs, bright field image of the same, and visualization of WBCs trapped in the recirculation vortices, respectively.

(23) FIG. 17A is a graph of the trapping zone and distinct release zones for each cell type (platelets, RBCs and WBCs) based on their sizes plotted against the dispersed to continuous phase pressure ratio (). In the complete trapping zone, all the cells irrespective of their sizes are trapped in the micro-vortices. Under this regime, d.sub.gap is smaller than the radius of the smallest cell size. In the platelet release zone, only the platelets are released into the droplets while the RBCs and WBCs remain trapped in the micro-vortices. To capture large cells, including WBCs, d.sub.gap is tuned to be slightly smaller than the radius of the WBCs such that smaller sized cells including platelets and RBCs are encapsulated within the droplets trapping the WBCs in the micro-vortex.

(24) FIG. 17B is a quantitative estimate of the WBC capture efficiency. The present invention can achieve an efficiency of 70%.

(25) FIG. 18A is another embodiment of a single cell encapsulation schematic of size selective capture and release of beads.

(26) FIG. 18B shows trapping of 7.32 m and 2.5 m beads in the vortices. The d.sub.gap can be exquisitely controlled by tuning the pressure ratio ().

(27) FIG. 18C shows release of 2.5 m beads in droplet while the 7.32 m beads are trapped.

DESCRIPTION OF PREFERRED EMBODIMENTS

(28) Following lists elements corresponding to a particular element referred to herein: 100 microfluidic device 102 solid sample 104 droplet 106 dispersed phase fluid 107 flow stream 108 continuous phase fluid 109 high shear interface 110 combining channel 114 first dispersed phase channel 116 second dispersed phase channel 117 aqueous phase channel 118 aqueous phase fluid 119 laminar interface stream 120 first continuous phase channel 130 second continuous phase channel 140 intersection region 145 droplet shearing junction 147 orifice 150 vortex region 152 vortex 154 outer stream 156 outermost streamline 160 output channel 170 fluid flow controller

(29) As used herein, the microfluidic devices employ fluid volumes on the scale of microliters (10.sup.6) to picoliters (10.sup.12) that are contained within sub-millimeter scale channels. The structural or functional features may be dimensioned on the order of mm-scale or less, preferably in the micron scale or less. For example, a diameter or width of a channel or a dimension of an intersection or junction may range from <0.1 m to greater than 1000 m. Alternatively or in addition, a length of a channel may range from 0.1 m to greater than cm-scale. The microfluidic device may employ active or passive techniques for fluid transport and droplet production. Compared to the active approach, in which fluid manipulation involves the use of micropumps and microvalves, the passive approach takes advantage of the characteristic flow field in microfluidics to control the interface and capillary instability, and consequently produce droplets.

(30) As used herein, the term high shear interface refers to a high velocity liquid-liquid interface formed between two immiscible liquids. Generally, the continuous phase flow rate is greater than the flow rate of the dispersed phase. For instance, the continuous phase flow rate may be about 2-5 times greater. At the aqueous-oil interface, the high continuous phase flow rate imparts the same velocity to the dispersed phase at the interface. Hence, the dispersed phase at the interface is at a higher velocity (shear) than the bulk. As used herein, the term laminar flow refers to flow of a fluid in layers that do not mix. One of ordinary skill in that art would understand that at lower Reynold's numbers (<10), a laminar flow is always established in the microfluidic channel. The fluid flows in parallel layers with no lateral mixing but with some minor diffusion.

(31) Samples for Encapsulation

(32) In various embodiments of the present invention, the samples for encapsulation may be microparticles. In some embodiments, the microparticles may be beads. Examples of beads include, but are not limited to, polymer beads, bar-coded beads, functionalized beads, and magnetic beads. In some embodiments, the beads may have a size or dimension, such as a diameter or width, ranging from about 0.01 m to about 20 m.

(33) In other various embodiments of the present invention, the samples for encapsulation may be cells. Any particular cell type from any organism may be used in the methods and systems of the present invention. The cells may have a size or dimension, such as a diameter or width, ranging from about 0.1 m to about 20 m. In some embodiments, the cells may be wild type cells or genetically modified cells. In other embodiments, the cells may be cells harboring one or more mutations, healthy cells, diseased cells or unhealthy cells, etc. For example, in some embodiments, the cells may be prokaryotic cells (e.g., bacteria, archaebacteria, etc.). In other embodiments, the cells may be eukaryotic cells such as single-celled eukaryotes, fungal cells (e.g. yeast, mold, etc.), animal cells, mammalian cells (e.g. cells from a human, non-human primate, rodent, rabbit, sheep, dog, cat, etc), and non-mammalian cells (e.g. cells from insects, reptiles, amphibians, birds, etc.).

(34) In some embodiments, the cells used in the present invention may be other eukaryotic cells such as plant cells or algal cells. Non-limiting and non-exhaustive examples of plant cells include cells from corn, soybean, wheat, cotton, grass, flowering plants, fruit-bearing plants, trees, tuberous plants, potatoes, root plants, carrots, peanut, nuts, beans, legumes, and squashes. It is to be understood that the term plant cell encompasses all types and stages of plant cells and is not limited to the aforementioned examples. Non-limiting and non-exhaustive examples of algal cells include cells from Chlorella sp., Nannochloropsis sp, and Botryococcus sp. It is to be understood that the term algal cell encompasses all types of algal cells and is not limited to the aforementioned examples. One of the distinguishing characteristics that plant and algal cells have over animal cells is a cell wall that surrounds a cell membrane to provide rigidity, strength, and structure to the cell. The cell wall may be comprised of polysaccharides including cellulose, hemicellulose, and pectin. Similar to plant and algal cells, the fungal cells also have a cell wall, which may be comprised of polysaccharides including glucans, mannans, and chitin.

(35) In other embodiments, the cells used in the present invention may be protoplasts, which are intact plant, bacterial or fungal cells that had its cell wall completely or partially removed using either mechanical or enzymatic means.

(36) In yet other embodiments, the cells used in the present invention may be a tetrad. The term tetrad is used to herein to refer to a single structure comprised of four individual physically attached components. A microspore is an individual haploid structure produced from diploid sporogenous cells (e.g., microsporoyte, pollen mother cell, or meiocyte) following meiosis. A microspore tetrad refers to four individual physically attached microspores. A pollen grain is a mature gametophyte containing vegetative (non-reproductive) cells and a generative (reproductive) cell. A pollen tetrad refers to four individual physically attached pollen grains.

(37) Encapsulation

(38) Referring now to FIG. 1, in some embodiments, the present invention features a microfluidic device (100) for encapsulating a sample (102) in a droplet (104). The microfluidic device (100) may comprise a combining channel (110) having a dispersed phase fluid (106) flowing therein at a first flow rate (v.sub.d), and a continuous phase channel network (120) having a continuous phase fluid (108) flowing therein at a second flow rate (v.sub.c). In one embodiment, the dispersed phase fluid (106) may comprise at least two flow streams (107) with one or both of said flow streams (107) comprising dispersed samples (102). In some embodiments, the continuous phase channel network (120) can have two portions that are each disposed on opposite sides of the combining channel (110) and that intersect the combining channel (110) orthogonally.

(39) In further embodiments, the device includes an intersection region (140) formed by the continuous phase channel network (120) intersecting a terminal end of the combining channel. The continuous phase fluid (108) can intersects the dispersed phase fluid (106) to form a high shear interface (109) with the dispersed phase fluid. In some embodiments, the intersection region may comprise a droplet shearing junction (145) formed as the continuous phase fluid (108) merges with the dispersed phase fluid (106), and a vortex region (150) comprising two vortices each formed by one of the flow streams (107). The droplet shearing junction (145) may comprise an orifice (147) that fluidly couples an output channel (150) to the intersection region (140).

(40) In other embodiments, the device further comprises a fluid flow controller (170) configured to perform operations comprising adjusting v.sub.d, v.sub.c, or both to trap and re-circulate the samples (102) within the vortices (152), and adjusting v.sub.d, v.sub.c, or both to release the samples (102) from the vortices (152) and generate droplets (104) encapsulating at least one sample (102) at the droplet shearing junction (145). In one embodiment, the fluid flow controller (170) may comprise a feedback control system. The feedback control system may be configured to actuate a pressure controller to adjust the pressure to release the cells/particles if the intensity of the flow focusing junction exceeds a certain threshold. In some embodiments, intensity can be measured using an image processing module. In other embodiments, the pressure controller can be regulated using LabView program.

(41) The microfluidic devices described herein may be used to create droplets of a fluid (e.g., oil or water) for chemical reactions, assays, in drug delivery, in drug discovery, etc. In some embodiments, the present invention features a method for encapsulating a sample (102) in a droplet (104). The method may comprise providing a microfluidic device (100) comprising a combining channel (110), a first continuous phase channel (120) having a portion thereof disposed on one side of the combining channel, a second continuous phase channel (130) having a portion thereof disposed on an opposite side of the combining channel such that said portions of the first and second continuous phase channels intersect at a terminal end of the combining channel to form an intersection region (140), and an output channel (160) fluidly coupled to the intersection region (140). A dispersed phase fluid (106) flows through the combining channel (110) at a first flow rate (v.sub.d). In some embodiments, the dispersed phase fluid (106) may at least two flow streams (107) with one or both of said flow streams (107) containing dispersed samples (102). A continuous phase fluid (108) is co-flowing through each of the first and second continuous phase channels (120, 130) at a second flow rate (v.sub.c). In some embodiments, the continuous phase fluid (108) intersects the dispersed phase fluid (106) at the intersection region (140) such that a droplet shearing junction (145) is formed within the intersection region (140) as the continuous phase fluid (108) merges with the dispersed phase fluid (106). The droplet shearing junction (145) can comprise an orifice (147) fluidly coupling the output channel (160) to the intersection region (140).

(42) In some embodiments, the method may further comprise adjusting v.sub.d, v.sub.c, or both such that the continuous phase fluid (108) forms a high shear interface (109) with the dispersed phase fluid (106) at the intersection region (140), adjusting v.sub.d, v.sub.c, or both to generate a vortex region (150) in the dispersed phase fluid (106) at the intersection region (140), where the vortex region (150) comprises two vortices (152) each formed by one of the flow streams (107), adjusting v.sub.d, v.sub.c, or both to trap and re-circulate the samples (102) within the vortices (152), and adjusting v.sub.d, v.sub.c, or both to release the samples (102) from the vortices (152) and generate droplets (104) encapsulating one sample (102) at the droplet shearing junction (145).

(43) Without wishing to limit the present invention to a particular theory or mechanism, the occurrence of the microvortices (152) in the aqueous/dispersed phase may depend on the combined effects of the aqueous-oil (dispersed phase-continuous phase) interfacial shearing rate () and the tip oscillation frequency (TOF), defined as the interfacial oscillation frequency of the droplet generation tip. As used herein, an approximate range of is about 1-200 [1/s], with increasing as the regime changes from squeezing to dripping to jetting. In some embodiments, the range of in the squeezing regime may be about 1-50 s.sup.1, the range of in the dripping regime may be about 50-100 s.sup.1, and the range of in the jetting regime may be about 100-200 s.sup.1. The protrusion and retraction of the droplet generation tip occurs each time a droplet is generated; therefore, the tip oscillation frequency (TOF) is equal to the number of droplets generated per second().

(44) Both the parameters and TOF can vary with droplet generation regimes such that they are lowest in the squeezing regime and highest in the jetting regime, which is dictated by the capillary number (Ca=V.sub.c/), where is the viscosity of the continuous phase, V.sub.c is the velocity of the continuous phase and is the interfacial tension between the phases. Again, without wishing to limit the present invention, the microvortices may start to occur at higher values of and TOF. In the squeezing regime, which occurs at lower Ca (e.g., about 10.sup.3), both the interfacial shearing rate () and the TOF, which may be about 50 Hz, are not large enough to generate the microvortices. However, at a higher Ca (e.g., about 10.sup.1) where the regime switches from squeezing to dripping, the microvortices are likely to occur because of the increase in and TOF, for instance, the TOF may be greater than >2000 Hz.

(45) Referring to FIG. 2A-2B, each vortex (152) can have an outer stream (154) disposed between an outermost streamline (156) of the vortex and the adjacent high shear interface (109). Each outer stream (154) may be fluidly coupled to the orifice (147) so as to be outputted into the output channel. The outer streams (154) can have a maximum width, d.sub.gap, between the outermost streamline (156) of each vortex and the adjacent high shear interface (109). In one embodiment, d.sub.gap can be reduced when adjusting the flow rates to trap and re-circulate the samples (102). In another embodiment, d.sub.gap can be widened when adjusting the flow rates to release the samples (102) from the vortices (152) and into their respective outer stream (154) for encapsulation at the droplet shearing junction (145).

(46) Without wishing to limit the present invention to a particular theory or mechanism, v.sub.d, v.sub.c, or both can be adjusted such that a ratio of v.sub.d to v.sub.c reduces d.sub.gap to be less than half a diameter of the samples, thereby trapping, re-circulating, and accumulating the samples (102) within the vortices (152), and further reducing a width of the orifice to prevent encapsulation. In another embodiment, v.sub.d, v.sub.c, or both can be adjusted such that the ratio of v.sub.d to v.sub.c increases d.sub.gap to be about -1.5 the diameter of the samples, thereby releasing the samples from the vortices into the outer streams, and further increasing the width of the orifice to allow for encapsulation of a single sample in one droplet, or co-encapsulation of two different samples in one droplet.

(47) In one embodiment, as shown in FIGS. 1-3B, the dispersed samples (102) may comprise a plurality of cells flowing in one flow stream (107), and a plurality of particles flowing in the other flow stream (107). When the cells and particles flow into the intersection region (140), the cells may be disposed in one vortex (152a) and the particles may be disposed in the other vortex (152b). In a preferred embodiment, when adjusting the flow rate for release, one cell is released from its vortex (152a) into its outermost stream (154a) and one particle is released from its vortex (152b) into its outermost stream (154b). The one cell and the one particle are then co-encapsulated in the one droplet (104) as said droplet is formed at the droplet shearing junction (140), and the droplet (104) co-encapsulating the one cell and one particle is released from the orifice (147) into the output channel (160).

(48) Referring to FIGS. 5A-14, in an alternative embodiment, the dispersed samples (102) may either be cells or particles. One sample, e.g. one cell or one particle, may be encapsulated as the droplet (104) is formed at the droplet shearing junction (140). The droplet (104) encapsulating the one sample (102) is then released from the orifice (147) into the output channel (160).

(49) According to an exemplary embodiment, the method for encapsulating the solid sample (104) in a droplet (102) may comprise flowing a first fluid (106) through a first microfluidic channel (110) at a first flow rate (v.sub.d), and co-flowing a second fluid (108) through each of a second microfluidic channel (120) and a third microfluidic channel (130) at a second flow rate (v.sub.c). The second and third microfluidic channels (120, 130) may intersect the first microfluidic channel (110) to form an intersection region (140) such that the second fluid streams (108) intersect the first fluid (106) and merge to form a droplet shearing junction (145) within the intersection region (140). In one embodiment, the first fluid (106) may comprise at least two flow streams (107) with one or both of said flow streams (107) comprising dispersed solid samples (102). The method further comprises adjusting v.sub.d, v.sub.c, or both to generate a vortex region (150), which comprises two vortices (152) each formed by the flow streams (107), in the first fluid (106) at the intersection region (140), adjusting v.sub.d, v.sub.c, or both to trap and re-circulate the samples (102) within the vortices (152), adjusting v.sub.d, v.sub.c, or both to release the samples (102) from the vortices (152), and generating droplets (104) at the droplet shearing junction (145) that encapsulate one solid sample or co-encapsulate two different solid samples. Without wishing to limit the present invention, the first liquid flowing through the first channel (e.g., water) is broken up to form discrete droplets as a result of shear forces from the second liquid. The size of the first liquid droplets can depend on a variety of factors including, for examples, the flow rate of the second liquid. For example, as the flow rate of the second liquid is increased, the size of the first liquid droplets is reduced.

(50) According to another embodiment, the present invention also features a method for size-selective sorting and encapsulation of a solid sample (102) in a droplet (104). This method may be implemented using any one of the microfluidic devices described herein. For instance, in one embodiment, the method may comprise providing the microfluidic device (100) comprising a combining channel (110), a first continuous phase channel (120) having a portion thereof disposed on one side of the combining channel, a second continuous phase channel (130) having a portion thereof disposed on an opposite side of the combining channel such that said portions of the first and second continuous phase channels intersect at a terminal end of the combining channel to form an intersection region (140), and an output channel (160) fluidly coupled to the intersection region (140). The method also comprises flowing a dispersed phase fluid (106) through the combining channel (110) at a first flow rate (v.sub.d), and co-flowing a continuous phase fluid (108) through each of the first and second continuous phase channels (120, 130) at a second flow rate (v.sub.c). In some embodiments, the dispersed phase fluid (106) may comprise at least two flow streams (107), with one or both of said flow streams (107) comprising dispersed samples (102) having varying sizes. In some preferred embodiments, the continuous phase fluid (108) may intersect the dispersed phase fluid (106) at the intersection region (140) such that a droplet shearing junction (145) is formed as the continuous phase fluid (108) merges with the dispersed phase fluid (106). The droplet shearing junction (145) may comprise an orifice (147) fluidly coupling the output channel (160) to the intersection region (140).

(51) Moreover, the method may further include adjusting v.sub.d, v.sub.c, or both such that the continuous phase fluid (108) forms a high shear interface (109) with the dispersed phase fluid (106) at the intersection region (140), adjusting v.sub.d, v.sub.c, or both to generate a vortex region (150), comprising two vortices (152) each formed by one of the flow streams (107), in the dispersed phase fluid (106) at the intersection region (140), adjusting v.sub.d, v.sub.c, or both to trap and re-circulate the samples (102) within the vortices (152), and adjusting v.sub.d, v.sub.c, or both to release samples (102) of smallest size from the vortices (152) and generate droplets (104) encapsulating one of said samples (102) at the droplet shearing junction (145), all the while the larger-sized samples (102) remain trapped in the vortices (152). The step of adjusting v.sub.d, v.sub.c, or both may be repeated such that release of similarly-sized samples from the vortices (152) and droplet encapsulation of one such solid sample occur in groupings ordered from smaller-sized samples to largest-sized solid samples.

(52) Consistent with previous embodiments, each vortex (152) can have an outer stream (154) disposed between an outermost streamline (156) of the vortex and the adjacent high shear interface (109). Each outer stream (154) may be fluidly coupled to the orifice (147), and have a maximum width, d.sub.gap, between the outermost streamline (156) of each vortex and its adjacent high shear interface (109). In one embodiment, d.sub.gap may be reduced when adjusting the flow rates to trap and re-circulate the samples (102). In another embodiment, d.sub.gap may be widened when adjusting the flow rates to release the samples (102) from the vortices (152) and into their respective outer stream (154) for encapsulation at the droplet shearing junction (145).

(53) In some embodiments, v.sub.d, v.sub.c, or both may be adjusted such that a ratio of v.sub.d to v.sub.c reduces d.sub.gap to be less than half a diameter of the smallest-sized samples, thereby trapping, re-circulating, and accumulating the samples within the vortices, and further reducing a width of the orifice to prevent encapsulation. In other embodiments, for each group of similarly-sized samples, v.sub.d, v.sub.c, or both are adjusted such that the ratio of v.sub.d to v.sub.c increases d.sub.gap to be about -1.5 the diameter of said samples. Thus, only similarly-sized samples are released from the vortices while larger-sized solid samples remain trapped in the vortices, and the width of the orifice is increased to allow for encapsulation of one such sample in one droplet.

(54) In one embodiment, the dispersed samples (102) may comprise a plurality of cells, particles, or a combination thereof having varying diameters. In a preferred embodiment, the size-sorting method described herein allows for the samples to be released from the vortices (152) into the outer streams (154) in groupings of smallest to largest diameter. In some embodiments, a single sample (102) is encapsulated in one droplet (104) as said droplet is formed at the droplet shearing junction (145) and released from the orifice (147) into the output channel (160).

(55) In accordance with the various embodiments described herein, the microfluidic device (100) may comprise a first dispersed phase channel (114) comprising one of the flow streams (107) that form the dispersed phase fluid (106), and a second dispersed phase channel (116) comprising the other flow stream (107). The first and second dispersed phase channels (114, 116) can merge to form the combining channel (110). In other embodiments, the microfluidic device (100) may further comprise an aqueous phase channel (117) intersecting with the first and second dispersed phase channels (114, 116). The aqueous phase channel (117) may comprise aqueous phase fluid (118) that flows into the combining channel (110) such that the aqueous phase fluid (118) forms a laminar interface stream (119) between the two flow streams (107). In some embodiments, the portions of the first and second continuous phase channels intersect the combining channel (110) orthogonally.

(56) Consistent with the various embodiments of the present invention, the flow in the microfluidic device may be pressure-driven. In one embodiment, the flow rates can be adjusted using a constant pressure source via high speed solenoid valves. The valves may be controlled by a custom-built lab view program. As used herein, the flow rate is equivalent to the fluid pressure or channel resistance. The flow rates may be adjusted to generate the vortices, or to modulate between trap and release modes by varying the ratio of v.sub.d to v.sub.c (v.sub.d/v.sub.c). Alternatively or in addition, the dispersed phase pressure to continuous phase pressure ratio () may be modified to adjust between the various modes. The ratios for trapping and release changes can depend on diameter of the cell or particle diameter. To illustrate, for a 10 m diameter particle or cell, v.sub.d/v.sub.c for trapping may be about 0.2-0.25, and greater than 0.27 for release. In various embodiments, the flow rate of the continuous phase fluid streams can be about 2-10 times greater that the flow rate of the dispersed phase fluid stream.

(57) Microfluidic droplet generators utilizing the droplet generation method discussed above can be used to compartmentalize or encapsulate a single cell or a bead comprising single cell, cellular material or some other biological material in a single water droplet. Droplets encapsulating a single cell or bead can be useful for single cell assays of cells (e.g., cancer cells or immune cells) that exhibit biological heterogeneity for which assays that provide a population average may be insufficient. Encapsulation of a single cell (one cell) and/or a single bead (one-bead) in a single droplet can be useful for high-throughput screening of single cell. However, the efficiency of encapsulating a single cell (one cell) and/or a single bead (one-bead) in a single droplet can be as low as 0.1%, i.e. 1 in 1000 droplets may have a single cell (one cell) and/or a single bead (one-bead) while the remaining droplets may have no cells and/or beads or have more than one cell and/or one bead. This application contemplates a passive, hydrodynamic technique that can trap cells and/or beads in a plurality of independent vortices (e.g., two vortices) and then releasing the trapped cells and/or beads such that they are encapsulated in droplets. The size of the generated droplets can be adjusted to increase the probability that a single cell and/or bead is encapsulated in a single droplet. The droplet encapsulation efficiency can be increased to 30% or higher using the system and methods described herein, which could significantly improve the biomolecular capture efficiency various bead based single cell assays.

(58) In various embodiments, the width of the various microfluidic channels (e.g., the first and second dispersed phase and aqueous phase channels (114, 116, 117); the combining channel (110); and the continuous phase channels (120, 130)) can range from about 25 m to about 75 m. For examples, the width of the various microfluidic channels can be in a range between about 30 m to about 60 m. Restricting the height of the various microfluidic channels to be less than twice the diameter of the solid samples can advantageously reduce the chance that the solid samples roll over each other and/or stack over each other.

(59) In other embodiments, a width and/or length of the intersection region can be about 3-6 times the width of the various microfluidic channels (e.g., the combining channel, the first continuous phase channel, or the second continuous phase channel). For example, the width of the intersection region may be about 150 m, which is about three times the width of a 50 m incoming microfluidic channel. In another embodiment, the length of the intersection region may be about 200 m, which is about four times the width of a 50 m incoming microfluidic channels.

(60) In some embodiments, the width of the orifice may be about 5-40 m. For example, in one embodiments, the width of the orifice may be about 5-15 m, about 10-20 m, about 20-30 m, or about 30-40 m. In other embodiments, the width of the output channel may widen from the width of the orifice to a maximum width. The maximum width of the output channel can be about 2-10 times the width of the orifice. For examples, for a 30 m orifice, the output channel widens from a minimum width of 30 m to a maximum width of about 120 m. In further embodiments, the width of the output channel may be reduced after reaching its maximum.

(61) The device may be operated in a trapping mode in which the cells and/or beads introduced through the first and the second incoming microfluidic channels are trapped in independent vortices generated in the intersection region, as shown in FIG. 1A. The device may also be operated in a release/encapsulation mode in which the cells and/or beads trapped in the independent vortices are released and encapsulated in droplets as shown in FIG. 1B. Without relying on a particular theory, vortices can be generated when the ratio () of fluid pressure between the dispersed phase (DP) and continuous phase (CP) is in a range between about 0.7 and 0.05. The range of values for over which the device operates in the trapping mode and the range of values for over which the device operates in the release/encapsulation mode can vary depending on the size of the beads/cells used. Experimentally, it was determined that trapping can occur when is between about 0.05 and about 0.25 (e.g., about 0.15) for 10 micron polystyrene beads and k-562 cells. Experimentally, it was determined that release/encapsulation can occur when is >0.25 and about 0.7 (e.g., about 0.5) for 10 micron polystyrene beads and k-562 cells.

(62) In some embodiments, the velocities of the incoming flow streams (e.g. dispersed and continuous phase) can be adjusted such that laminar flow is established in the combining channel. For example, the flow rates of the incoming flow streams can be equal to each other to establish such laminar flow. By maintaining equal flow rates at inlets to the three incoming microfluidic channels, bead/cell migration across the streamlines due to Magnus force can be prevented. The flow streams in the combining channel can be separated by a laminar interface as a result of the laminar flow. In some embodiments, the constituents of the first solid sample (e.g., cells or cellular material) self-assemble on one side of the laminar interface and the constituents of the second solid sample (e.g., particles or beads) self-assemble on another side of the laminar interface. For example, as shown in the embodiment illustrated in FIG. 1, the beads or particles self-assemble in a single row along a channel wall of the combining channel and cells self-assemble in a single row along the opposite channel wall. The laminar flow comprising the dispersed phase fluid enters the intersection region.

(63) In the intersection region, the flow rate of the continuous phase fluid flowing can be adjusted to create a high shear interface between the laminar flow and the continuous phase fluid stream. The size of the droplet can depend on the capillary number, Ca=V/, where is the viscosity of the continuous phase comprising the second fluid, V is the superficial velocity of the continuous phase comprising the second fluid, and is the equilibrium surface tension between the continuous phase and the dispersed phase. In some embodiments, to generate droplets having an appropriate size to encapsulate a single cell and/or single bead, the capillary number can be in the range between about 0.01 and about 1 (e.g., about 0.1). In other embodiments, the droplet size can also be controlled by controlling the pressure ratio . In various embodiments, a droplet encapsulating a single cell and a single bead/particle can be achieved by controlling to be between about 0.1 and about 0.5 (e.g., about 0.3). Depending on the pressure ratio and/or concentration of the solid samples, the generated droplets can have a size between about 20 microns and about 150 microns.

(64) As discussed above, FIG. 2B shows the device operating in the trapping mode. In the trapping mode, flow parameters (e.g., flow velocity and/or fluid pressure) of the continuous and/or the dispersed phase can be adjusted to generate vortices (e.g., two independent vortices) in the intersection region to trap the cells and/or particles/beads introduced through the combining channel. Trapping and release of the cells and/or particles/beads depend on the distance (d.sub.gap) between the interface of the continuous and the dispersed phase and the outermost streamline of the vortices. The d.sub.gap can depend on the flow velocities of the continuous and the dispersed phases. When the radius of cells and/or particles/beads is greater than d.sub.gap, the center of the cells and/or particles/beads can cross into a closed streamline (e.g., a streamline of the vortex) thereby increasing the probability that the particles or cells are trapped. However, when the radius of particles or cells is less than d.sub.gap, some cells and/or particles/beads may be trapped for some time in the vortices due to inertia or some other forces, but these cells and/or particles/beads may eventually be released from the vortices and pass through the orifice. Thus by adjusting d.sub.gap, cells and/or particles/beads of different sizes can be trapped in the vortices.

(65) When the concentration of the samples in the dispersed phase fluid is low, the microfluidic device can be operated in the trapping mode to increase the concentration of the sample prior to encapsulation in droplets. This can be advantageous in achieving high encapsulation efficiency and through-put. For example, in some embodiments, to get high concentration of cells in the dispersed phase, the flow parameters (e.g., flow velocity and/or pressure of the continuous and the dispersed phases) can be adjusted using the fluid controller to generate vortices such that d.sub.gap is less than the size (e.g., radius) of the cells so that all the particles or cells can be trapped in the vortices generated in the intersection region. The fluid controller can then be configured to release the trapped cells such that they are encapsulated in droplets within a short time interval (e.g., in less than 1 second).

(66) Without wishing to limit the present invention, the encapsulation efficiency achieved using the methods described herein can be 30% or higher. More preferably, the encapsulation efficiency achieved using the methods described herein can be 50% or higher.

EXAMPLES

(67) The following are non-limiting examples of implementing the trap and release mechanism of the present invention. It is to be understood that the examples are for illustrative purposes only and are not intended to limit the present invention in any way. Equivalents or substitutes are within the scope of the invention.

(68) Materials and Methods

(69) Microfluidic Device Preparation

(70) To characterize the capillary migration of the droplets, microfluidic devices were fabricated in polydimethylsiloxane (PDMS) using soft lithography. The PDMS molded imprints and another plain PDMS layer were plasma treated for 2 minutes and were brought together to form a permanent seal. The device was left in the oven at 120 C. overnight to regain its natural hydrophobicity.

(71) Fluidic Set-Up, Bead/Cell Preparation and Imaging

(72) Ethyl oleate and 2% ABIL EM 90 form the continuous phase, and a mixture of water, lipids, glycerols and surfactant serves as the dispersed phase. Briefly, 5 mg DSPC (1,2-distearoyl-sn-glycero-3-phosphocholine) and 1.96 mg DSPE-PEG2000 (1,2-distearoyl-sn-glycero-3-phosphoethanolamine-N-[methoxy-(polyethyleneglycol)-2000]) were combined in a glass vial and dissolved in chloroform to form a homogeneous mixture. The solvent was evaporated with a nitrogen stream. 4 mL of ultra-pure water was added to the dry lipid mixture and sonicated at 50 C. for 20 minutes. The solution was combined with an additional 4 mL of glycerol and 2 mL of nonionic surfactant (Pluronic F-68), and then sonicated at 50 C. for 20 minutes. The lipid solution was sonicated again for 15 minutes immediately prior to use to minimize unwanted liposome formation.

(73) The K-562 cells (American Type Culture Collection (ATCC)) were cultured in a T-75 cell culture flask using RPMI 1640 as the basal medium to which fetal bovine serum (FBS) was added (10% by volume). The cell culture media is changed every three days until the cells proliferate to the desired confluency. The medium containing the cells was then transferred to a 10 mL Eppendorf tube, centrifuged at 1000 rpm for 5 min and the pellet was re-suspended in the freshly prepared aqueous/dispersed phase. The cell concentration in the resulting suspension was determined using an automated cell counter and appropriately diluted to the desired concentration. Similarly, the stock solution containing the beads was centrifuged at 3000 rpm; the supernatant was removed and the beads re-suspended in the freshly prepared aqueous phase. For demonstrating blood cell separation, normal donor blood was obtained from the Institute for Clinical and Translational Science (ICTS) at the University of California-Irvine under SPID protocol #6956, with Institutional Review Board (IRB) approval. The blood sample was diluted 10 using 1 phosphate buffered saline (PBS) prior to the experiments. The blood solution was stained using DAPI (4,6-diamidino-2-phenylindole, dihydrochloride) for the visualization of trapped WBCs in the vortices.

(74) Both the continuous phase and the dispersed phase are introduced into the microfluidic chip using a constant pressure source via high speed solenoid valves controlled by a custom-built lab view program. The trapping, 1-1 encapsulation and size selective capture were monitored using a Nikon 100-S inverted microscope and recorded using a Phantom camera V-310 (Vision Research). To analyze the videos frame by frame to yield the encapsulation data, ImageJ, a public domain java based image processing software program developed at the National Institutes of Health, was used.

(75) Design and Principle of Operation

(76) As shown in FIG. 1, the microfluidic device comprises an expansion flow-focusing droplet generation junction. The aqueous (dispersed) phase containing the cells was introduced into the center channel, and it was focused into a narrow orifice by symmetric co-flowing streams of the continuous phase. The high viscosity shear applied by the continuous phase on the dispersed phase creates two symmetric three-dimensionally confined hydrodynamic vortices in the dispersed phase at the flow focusing junction. The vortices are directed in such a way that it is forward-oriented at the periphery and reverse-oriented at the center. Although the bulk of the dispersed phase fluid recirculates in the vortices, the continuity equation dictates that the mass flow of liquid into the system should be equal to the mass flow out of the system, as shown in the equation below:

(77) $\begin{array}{cc}\frac{}{t}\mathrm{dV}+\underset{i}{.Math.}{\left({}_i{A}_i{v}_i\right)}_{in}-\underset{i}{.Math.}{\left({}_i{A}_i{v}_i\right)}_{\mathrm{out}}=0& \left(1\right)\end{array}$
where is the density, V is the control volume (flow focusing junction), A.sub.i is the inlet or outlet area of the control volume, and v.sub.i is the velocity of fluid flowing in and out of the control volume. In steady state, incompressible flow, Equation 1 simplifies to:
A.sub.1v.sub.1=A.sub.2v.sub.2(2)
where A.sub.1, v.sub.1, A.sub.2, and v.sub.2 are respectively the inlet area, inlet velocity, outlet area and outlet velocity.

(78) The dispersed phase entering through the center channel inlet recirculates within the vortex and exits through d.sub.gap into the orifice as droplets, where d.sub.gap is the width separating the closed loop vortex streamlines from the oil-aqueous interface. Within this d.sub.gap, aqueous (dispersed) phase streamlines pass through the orifice to form the droplets. The continuity equation for the dispersed phase is derived as:
w.Math.h.Math.v.sub.d2.Math.d.sub.gap.Math.h.Math.(v.sub.d+v.sub.c)(3)
where w is the width and h is the height of the center channel inlet, and v.sub.d and v.sub.c are respectively the average velocities of the dispersed phase and the continuous phase. Since v.sub.d<v.sub.c, equation (3) can be approximated as:

(79) $\begin{array}{cc}w.Math.h.Math.v_{d}2.Math.d_{\mathrm{gap}}.Math.h.Math.v_c& \left(4\right)\\ d_{\mathrm{gap}}\frac{w}{c}\left[\frac{v_d}{v_c}\right]& \left(5\right)\end{array}$

(80) At a fixed channel width (w), d.sub.gap depends only on the ratio of the dispersed phase to continuous phase flow velocity. Therefore, the exquisite control over the d.sub.gap is easily achieved by precise tuning of the relative flow rates using syringe pumps (in the case of constant flow) or the relative pressure ratios using pressure pumps (in the case of constant pressure). To achieve a faster response, a constant pressure source was used to drive the fluid into the system using high speed solenoid valves controlled by a custom-built LabVIEW program.

(81) Mechanism of Cell Trapping and Single Cell Encapsulation

(82) Cell Trapping: If the radius of the cells is greater than d.sub.gap, the cells will not enter the droplets, instead they recirculate within the vortex. Notably, at this d.sub.gap, the diameter of the droplets is smaller than the size of the cells to be encapsulated. This is because d.sub.gap and the droplet diameter are positively correlated as both are functions of v.sub.d/v.sub.c, the ratio of dispersed to continuous flow rate.

(83) Single Cell Encapsulation: If the radius of the cell is comparable to d.sub.gap, the cells will readily enter the droplets 1:1 and the diameter of the droplet at this d.sub.gap is large enough to encapsulate one cell in it.

(84) Multiple encapsulations: If the radius of the cell <<d.sub.gap, two or more cells at a given time can readily enter the droplets resulting in multiple encapsulations. Switching between these regimes is done by precisely adjusting the dispersed to continuous phase pressure ratio.

(85) Mechanism of Size-Selective Capture of Cells

(86) By selecting d.sub.gap, only the cells smaller or equal in radius to d.sub.gap pass through, whereas all the larger cells get trapped. By modulating d.sub.gap to match the radius of various cell sizes, this technique is used to realize the size-selective trapping of cells. The principle of operation can be demonstrated by selecting blood as the dispersed phase, since it is constituted of cells of different sizes. Blood cells can be categorized by three main cell typesplatelets, red blood cells (RBCs) and white blood cells (WBCs). Under the trapping regime, the complete trapping of all blood cells occurs at the junction. This is because d.sub.gap, under this regime is tuned to be smaller than the radius of the platelets, which is the smallest type of cell (approx. 1-1.5 m in radius) in the sample volume. Increasing d.sub.gap to be greater than the radius of the platelets (but less than the radius of RBCs) enables the release of platelets into the droplets while RBCs and WBCs remain trapped in the vortices. When all the platelets are released, d.sub.gap is increased to the radius of RBCs, enabling the release of RBCs (approx. 2-3.5 m radius) into the droplets while the WBCs (approx. 6-7.5 m radius) continue to recirculate and are trapped within the micro-vortices. This technique can be used for sample processing for droplet based liquid biopsy applications.

(87) Results

(88) Cell/Bead Trapping and One-to-One Encapsulation in Droplets

(89) Using 2.5 m, 4 m, 7.32 m and 10 m diameter polystyrene beads to model the single cell encapsulations, it has been demonstrated that the cell/bead trapping and 1-1 encapsulation can be achieved in both the dripping and jetting regimes. The transition between the regimes is dictated by the Capillary number, Ca=.Math.v/, where is the viscosity, v is the velocity of the continuous phase, and is the interfacial tension between the two fluid phases. The capillary number can be altered by changing the dispersed to continuous phase pressure ratio (). In the dripping regime, which occurs at Ca10.sup.1, interfacial tension and viscosity can predict the formation of droplets. The droplets are monodispersed, and droplet break-up occurs within a characteristic diameter of the channel orifice. Increasing the capillary number to 10.sup.1 changes the regime from dripping to jetting. In the jetting regime, the dispersed phase protrudes like a long jet and it extends far beyond the channel orifice. In both the dripping and jetting regimes, the bead/cell trapping is similar whereas the 1-1 encapsulation is different.

(90) Without wishing to limit the present invention, the Capillary number can vary inversely with d.sub.gap, thus from trapping to release where d.sub.gap increases, the capillary number can decrease. In some embodiments, the Ca number for trapping mode can range from 0.10-0.15. In other embodiments, the Ca number for release mode can range from 0.05-0.08. For example, the Ca number may be 0.12 for trapping mode and 0.06 for release.

(91) In the jetting regime, trapping and the one-to-one (1-1) encapsulation of 2.5 m, 4 m and 7.32 m beads are illustrated in FIGS. 8A-8C, 9, and 10A-10C. One-to-one encapsulation is achieved by the Raleigh-Plateau instability jet break-up in the jetting regime. Beads enter the droplet based on d.sub.gap and the jet width. Tuning the jet width to be equal to the bead size ensures that no two beads enter the protruded jet stream at the same time. The beads upon entering the jet stream result in a jet break-up such that the bead-containing droplet will be smaller than the empty ones. It is also observed that the diameter of the droplets after encapsulation depends on the diameter of the beads encapsulated in it, which is evident from FIGS. 8B, 10A and 10B. This is because the larger beads (7.32 m) require larger jet widths and occupy more space in the protruded jet stream than the smaller ones (2.5 m) prior to the break-up. As shown in FIG. 9, the maximum 1-1 encapsulation efficiency for 2.5 m beads is measured to be 50%. To ensure higher encapsulation efficiency, a size sorting scheme could be incorporated along with this technique.

(92) In the dripping regime, 2.5 m, 7.32 m and 10 m diameter polystyrene beads are used as the models for 1-1 (one bead to one droplet) encapsulations. Tuning d.sub.gap to be comparable to the radius of each bead ensures 1-1 encapsulations. The dripping regime ensures that the encapsulated droplets are monodispersed. FIG. 11 illustrates the 1-1 encapsulation efficiency of the 2.5 m beads. During the trapping mode, the dgap is not large enough to let the beads flow into the droplets. During the release mode, the 1-1 encapsulation efficiency increases with the dispersed to continuous phase pressure ratio () because of the increase in d.sub.gap. Since there exists a linear relationship between the droplet diameter and d.sub.gap, it is evident that both the droplet diameter and d.sub.gap increase with the dispersed to continuous phase pressure ratio (). The 1-1 encapsulation efficiency reaches the maximum at an optimum d.sub.gap, beyond which, it decreases due to multiple encapsulations. The maximum 1-1 encapsulation efficiency achieved using the 2.5 m beads is around 50%. FIGS. 12A and 12B illustrates the trapping and 1-1 encapsulations of the 7.32 m and 10 m beads, respectively.

(93) Referring to FIG. 14A, high-efficiency single cell encapsulation is achieved under the dripping regime using K-562 cell lines. In the trapping mode (achieved at low ), the incoming cells will recirculate and are trapped within the micro-vortices, and this process continues until the whole expansion microfluidic junction is filled with cells. In the release mode, the single cell encapsulation efficiency increases with , however it decreases at a higher due to multiple encapsulations. Pressure optimizations for the trap and 1-1 release of different cells is determined by the size of the cells. Large size cells require a relatively greater d.sub.gap for the 1-1 encapsulation; hence the dispersed to continuous phase pressure ratio () should increase accordingly and vice versa.

(94) Referring to FIG. 13A-13B, compared to Poisson statistics, the present invention was able to achieve a >10 single cell encapsulation efficiency with the same cell concentration in the bulk solution. One of the significant features of this unique trap and release mechanism is that it can perform high efficiency single cell encapsulations at very low cell loading densities (<210.sup.5 cells per ml). This is because the cells are initially trapped in the micro-vortices, increasing the cell concentration locally before their encapsulation into the droplets. Additionally, this trap and release technique is more efficient for low concentration samples as it also acts as an enrichment strategy. In the trapping mode, at a given cell concentration (4.810.sup.5 cells per mL) and device dimensions (height 100 m), traps can get saturated in less than 20 seconds, approximately. The device continues to be functional even after saturating the trap. However, overcrowding of the cells in the trap may result in an occasional release of cells/beads into droplets due to hydrodynamic instability jet break-up. In the present configuration, instability occurred when the cell count in the vortex exceeded 120. This temporarily (<200 ms) disturbed the system before the process regained stability. At a higher cell concentration (210.sup.7 cells per mL), saturation can much more quickly. Once the junction was saturated with cells, the mode from trapping to release was switched to avoid instability and ensure high efficiency of the 1-1 encapsulation.

(95) The trap and release technique can be extended to perform size-selective sorting of cells from the sample. A 10 diluted blood sample was used to demonstrate this functionality. Initially, all the blood cells, including platelets (2-3 m), RBCs (6-7 m) and WBCs (12-15 m), are trapped in the micro-vortices by tuning d.sub.gap to be smaller than the platelet radius. The size selective release of the cells is realized by increasing d.sub.gap such that the platelets are released first, followed by RBCs and finally WBCs. FIG. 17A illustrates the graphical experimental model for the trapping and distinct release regimes. In the complete trapping zone, all the blood cells are trapped in the micro-vortices. This is accomplished by tuning d.sub.gap, to be smaller than the radius of the smallest cell in the sample. The platelet release regime allows only the platelets to be released into the droplets while the RBCs and WBCs recirculate within the vortices. The d.sub.gap at this zone is greater than the radius of the platelets but smaller than that of RBCs and WBCs. The RBC release zone is realized by tuning d.sub.gap to be greater than the RBC radius but smaller than that of WBCs so that the RBCs get released into the droplets while the WBCs remain trapped. While the WBC release regime starts, more than 90% of platelets and RBCs are filtered out from the trapped population.

(96) Referring to FIG. 17B, the WBCs were successfully separated cells from the 10 PBS diluted blood sample at a 70% capture efficiency, which was determined from video counting using Image J software. As a control experiment, WBCs were DAPI stained to ensure fluorescence visualization, shown in FIG. 16A-16C. The range of the capture efficiency correlates with the range of WBC counts in the original sample. The advantage of this technique is that the cells can be collected in the micro-vortices and release them such that the smallest cells come out first followed by the next sized cells and so forth. This technique enables capturing the cells in the droplets based on their size from the sample population. These results could expand the capabilities of droplet microfluidic technology to address sample filtering and enrichment related to various sample processing stages in assays.

(97) As used herein, the term about refers to plus or minus 10% of the referenced number.

(98) Various modifications of the invention, in addition to those described herein, will be apparent to those skilled in the art from the foregoing description. Such modifications are also intended to fall within the scope of the appended claims. Each reference cited in the present application is incorporated herein by reference in its entirety.

(99) Although there has been shown and described the preferred embodiment of the present invention, it will be readily apparent to those skilled in the art that modifications may be made thereto which do not exceed the scope of the appended claims. Therefore, the scope of the invention is only to be limited by the following claims. Reference numbers recited in the below claims are solely for ease of examination of this patent application, and are exemplary, and are not intended in any way to limit the scope of the claims to the particular features having the corresponding reference numbers in the drawings. In some embodiments, the figures presented in this patent application are drawn to scale, including the angles, ratios of dimensions, etc. In some embodiments, the figures are representative only and the claims are not limited by the dimensions of the figures. In some embodiments, descriptions of the inventions described herein using the phrase comprising includes embodiments that could be described as consisting of, and as such the written description requirement for claiming one or more embodiments of the present invention using the phrase consisting of is met.