Open Access Article
Amir Hillman
a,
Sinwook Parka and
Gilad Yossifon
*ab
aSchool of Mechanical Engineering, Tel-Aviv University, Israel. E-mail: gyossifon@tauex.tau.ac.il
bSchool of Biomedical Engineering, Tel-Aviv University, Israel
First published on 31st March 2026
This study presents a hybrid platform that integrates continuous and digital microfluidics (DMF) to generate preconcentrated discrete droplets from ionic concentration-polarization (ICP) based preconcentration occurring within a continuous medium. This study expands previous work on droplet generation using electrowetting-on-dielectric (EWOD)-based DMF, transitioning from continuous flow in a microchannel to incorporating electrokinetic molecule preconcentration, followed by the extraction of the molecules into droplets in air, without the need for an oil phase, while effectively maintaining their molecular preconcentrated state. Experiments were complemented with numerical simulations and an analytical model, showing qualitative agreement.
Digital microfluidics (DMF) systems precisely manipulate liquid droplets by independently addressing them on an electrode array, typically in air or oil.13 Droplets are controlled between two slides with electrodes coated in dielectric and hydrophobic layers, and are typically powered by AC voltage to prevent electrolysis.14,15 DMF enables droplet merging, mixing, splitting, and extraction from reservoirs, making it valuable for lab-on-a-chip assays involving bioparticles.13 Numerous studies have demonstrated its effectiveness in cell manipulation,16 sample introduction to biosensors,17,18 and various DNA processing assays.19,20 In summary, DMF provides an efficient approach for handling liquid droplets in biological lab-on-a-chip applications.
Ongoing research seeks to combine the advantages of continuous and discrete microfluidics by developing hybrid platforms. One approach uses a DMF platform in which consecutive electrodes draw liquid, creating a fully wetted array that mimics continuous microfluidics.21–23 However, such platforms lack the ability to perform true continuous flow operations, as the fully wetted array atop the electrodes remains stationary. Another strategy integrates a continuous microchannel with a DMF electrode array directly, on a single device.24 Nevertheless, in this design, the microchannel terminates directly at the DMF electrodes, preventing continuous-flow sample manipulations, such as ICP-based molecular and bioparticle preconcentration, that require sustained flow preceding droplet generation. Other integrated systems bridge droplet microfluidics and DMF via a capillary tube, but rely on an oil phase for droplet encapsulation, which limits further processing.25,26 Similarly, other systems utilize an oil phase to generate ICP-based preconcentrated droplets, but lack integration with DMF.27,28 Additional hybrid platforms transport discrete droplets onto a DMF electrode array and introduce them to a microchannel inlet. However, they can only fill microchannels and cannot generate discrete droplets from continuous flows.29–31 Therefore, there is a critical need for a hybrid platform that seamlessly integrates continuous-flow microfluidics with DMF to directly generate discrete droplets from single-phase microchannels.
While numerous continuous microfluidic techniques exist for manipulating bioparticles, a significant challenge remains in extracting these preconcentrated species, such as DNA, proteins, exosomes, and cells, from the microfluidic system for further processing.7,8,32 These particles are typically preconcentrated in situ within the microchannel, and attempts to relocate them often result in diffusive or convective mixing and smearing, thereby compromising their concentrated state.9,11,12 The extraction of concentrated droplets offers significant advantages for microfluidic workflows, such as reducing bioassay completion times,33 and encapsulating preconcentrated biomarkers that are otherwise scarce in their native samples for downstream detection or reaction.12,28,34 Direct transfer of these enriched droplets onto a DMF platform establishes a seamless interface between continuous microfluidics-based molecular and bioparticle preconcentration and droplet-based processing. This integration leverages the inherent advantages of DMF for programmable droplet manipulation, enabling the execution of multistep bioassays on a single, streamlined lab-on-a-chip platform that combines the strengths of continuous microfluidics and DMF-based sample processing and fluid handling. This study investigates the conditions required to extract a controlled volume of liquid from a microchannel onto a DMF platform while preserving the preconcentrated state of molecules achieved via ICP in the main microfluidic channel. This is enabled by an interfacing microfluidic region filled with stagnant liquid, positioned between the continuously flowing main microchannel and the DMF platform, allowing on-demand extraction of concentrated species into discrete droplets in air with defined volume and biomolecule concentration.
ICP enrichment and depletion diffusion layers were visualized by adding negatively charged, 1 μM pH-independent (as previously reported9) Dylight molecules (Dylight 488, Thermo Scientific) to a 10 μM KCl solution with a conductivity of 2 μS cm−1. Demonstrations of manipulating bioparticles inside the platform were done using 1 ng μl−1 fluorescently tagged 23-mer DNA (5′-6-FAM-TAA AGG TGC TCA TCA TGG GAA AG-3′; IDT, Coralville, IA, USA) and 100 μg ml−1 recombinant Aequorea victoria GFP protein (ab84191, Abcam, Cambridge, UK) as the target analytes. Both analytes were added to a 10 μM KCl solution with a conductivity of 2 μS cm−1. Calibrations curves relating measured fluorescence intensity to molecular concentration were established for DyLight fluorescent molecules, DNA, and GFP, as shown in Fig. S2. Imaging was conducted using a spinning disc confocal microscopy system (Yokogawa CSU-X1) integrated with an inverted microscope (Eclipse Ti-U, Nikon) and a camera (Andor iXon3). Flow within the main microchannel was driven by a hydraulic pressure gradient between the inlet and outlet ports, with an approximate height difference of 2 mm. Flow velocity was characterized using particle image velocimetry (PIV) with ImageJ and MATLAB software.
![]() | (1) |
![]() | (2) |
![]() | (3) |
The simulation geometry represented a geometrically scaled-down, two-dimensional representation of the intersection between the main and side microchannels. Two 100 μm-wide cation-selective membranes were placed inside the main microchannel (length = 1.7 mm, width = 125 μm) with an intermembrane spacing of 1 mm, upstream and downstream of the side microchannel (width = 75 μm, length = 500 μm). In Fig. 2, the side channel terminated with a wall boundary condition (u = 0, ∇ci·n = 0, where n is the unit normal vector to the surface), while in Fig. 3, the end was changed to a velocity outlet (1.6 mm s−1) to simulate the convective flux immediately following an EWOD-induced droplet extraction. For the simulation shown in Fig. 4, the side channel length was 150 μm, and a temporary internal wall boundary was placed midway along its length. This internal wall was removed at normalized time Fom = 0.533, and the side channel's end was changed to a velocity outlet (1.6 mm s−1). Simulation geometries are provided in Fig. S3. Initial ion concentrations were defined as c1,0 = c2,0 = 0.001 mol m−3 and c3,0 = 5 × 10−6 mol m−3. At the membrane interface, boundary conditions assumed ideal cation permselectivity: no anion penetration, a fixed cation concentration (c1 = N·c1,0), and a Donnan potential (−RT/F·ln(N)) with N = 10. The main microchannel inlet was set to constant bulk concentrations ci = ci,0 for all species (i = 1, 2, 3) and a uniform inlet velocity of 5 μm s−1. Open boundary conditions (∇ci·n = 0, du/dx = 0) were applied at the outlet. All other channel walls were treated with no-penetration, no-slip, and electrical insulation conditions.
![]() | ||
| Fig. 3 Extraction of the preconcentrated plug of fluorescent molecules. Time sequence of the generation process of concentrated droplets via electrowetting-on-dielectric. (a) Droplet generation (steps (i)–(v)) starting after the diffusion of the preconcentrated plug to the side channel presented in Fig. 2a (41 min and 51 s after ICP initiation). (b) Generation (steps (i)–(v)) of a second droplet starting shortly after generating the first droplet in Fig. 3a, i–v. (c) Numerical simulation of the convective pull of the plug to the side channel starting from the last normalized time interval (Fom = 0.5) presented in Fig. 2b. At this instant, the wall boundary condition (i.e. u = 0, ∂c/∂x = 0), at the end of the side channel changed into a velocity outlet. | ||
Furthermore, the rate of formation of the preconcentrated fluorescent molecule plug was represented as a volumetric source of molecules denoted as Ṅ(y), where y denotes the position along the side microchannel, including the width of the main channel, measured from the far wall of the main channel to the end of the side channel (Fig. 2a); the side channel length is L = 1.6 mm. The source was located within the main channel, while its width (a) equals that of the side channel (w), as presented in Fig. S5. Thus, the governing diffusion equation was as follows:
![]() | (4) |
is the constant uniform volumetric source of molecule generation, where u = 42 μm s−1 is the liquid velocity inside the main channel, and w = 600 μm is the side channel's width. The initial condition assumed uniform concentration 1 × 10−3 mol m−3. Thus, the volumetric source term describing molecular accumulation represents the (ideally assumed, for simplicity) trapping of molecular species within the preconcentrated plug, accounting for their time-dependent accumulation at the specified location. In addition, a boundary condition of zero flux of molecules was used at both ends of the side channel
.
Subsequently, a 60 V DC voltage was applied between the ion-selective membranes, with the anodic side upstream and the cathodic side downstream of the side channel. This resulted in the formation of a preconcentrated plug of fluorescent molecules. The position of the plug was controlled either by varying the voltage in 10 V increments or by modifying the pressure difference driving the channel flow through addition or removal of solution from the inlet and outlet reservoirs. The effects of flow velocity and applied voltage on the plug's location – through their influence on the depletion layer length generated from the cathodic side when the plug is located near its upstream edge – were previously studied.40,41 These studies showed that increasing the applied voltage enhances electrokinetic repulsion of fluorescent molecules from the downstream cathodic membrane, whereas higher flow rates promote their downstream transport toward the membrane.
As shown in Fig. 2a, the concentrated plug accumulated at the intersection between the main and side channels, with its fluorescent intensity increasing over time. Simultaneously, the accumulating plug diffused into the largely stagnant side channel, increasing the fluorescent intensity throughout the side channel over time. Additionally, the manual adjustments of the plug position during its accumulation are visible. Fig. 2c, i depicts the normalized maximum concentration along the side channel's width (x-axis), relative to the initial concentration, as a function of the normalized side channel length (y/L), where L is the total length of the side channel (1.6 mm). The maximum concentration along the side channel's width was used to avoid the effects of plug position adjustments on the concentration measurements along the side channel. A rectangular region of interest was defined to facilitate fluorescent intensity measurements within the side channel, as shown in Fig. 2a, 16:44 (minutes:seconds). The corresponding time intervals, shown in Fig. 2a, are normalized as the Fourier number for mass transport Fom = Dt/Ls2 where D (=3 × 10−10 m2 s−1
39) is the diffusion coefficient of the fluorescent molecules in water, t is the time, and Ls (=1.2 mm) is the length of the stagnant part of the side channel, after the first 400 μm where convective effects dominate, as mentioned above. As seen in Fig. 2c, i, the plug concentration (at the side channel entrance) increased over time, reaching a factor of ∼25 at Fom = 0.5 (∼42 minutes). Simultaneously, the concentration of fluorescent molecules at the end of the side channel increased by a factor of ∼8. A video of the experimental process of forming the plug and its simultaneous diffusion is available in video S1.
Numerical simulations were also conducted to understand the formation of the ICP preconcentrated plug at the intersection and its diffusion into the side channel. In the simulation, a voltage of 98 V DC was applied to the ion-selective membranes, with a velocity inlet boundary condition of 0.7 μm s−1 in the main channel. These parameters were found to form a sufficient plug for observing its diffusion to the side channel, while maintaining its location at the intersection. The specific numerical values were therefore chosen to reproduce qualitatively similar plug-location behavior, rather than to match the experimental voltages quantitatively. As mentioned previously, the smaller-scale channel configuration was used in the simulation to reduce the computational load. Fig. 2b presents the results of the numerical simulation for normalized time intervals of the smaller scale numerical simulation system corresponding to those presented in Fig. 2c, i of the larger scale experimental system, considering the different channel length (L) and time (t) values accordingly. Specifically, the length used for the normalized time intervals in the numerical simulation is the entire side channel's length (L = 500 μm) of the simulation model (Fig. S3a), since the flow velocity in the main channel was sufficiently low to result with stagnant conditions along the entire side channel. Similarly to the experimental Fig. 2c, i, and ii shows the normalized maximum concentration along the side channel's width, relative to the initial concentration, as a function of the normalized side channel length (y/L). As shown in this figure, the plug accumulated over time while diffusing into the side channel. The concentration at the entrance of the side channel (y/L = 0) increased by a factor of approximately 16 at Fom = 0.5, while at the same time, the concentration at the end of the side channel (y/L = 1) increased by a factor of approximately 6. While in qualitative agreement, the quantitative differences between the obtained normalized concentrations of the simulation and experiment can be attributed to the differences in the channel dimensions (e.g. a channel width of 75 μm in the simulation versus 600 μm in the experiment), and operating parameters (applied voltage and flow velocity) as well as the fact that the numerical simulations are 2D while the experiments are 3D. This may also be attributed to the fluctuating concentrations and reduced concentration gradients observed in the experimental accumulation region of the main microfluidic channel, compared with the numerical simulations (see Video S2).
Following the formulation presented above for the analytical model, the following solution (more details in the SI) was obtained for the 1D normalized (relative to the initial concentration c0) concentration C = c/c0:
![]() | (5) |
![]() | (6) |
![]() | (7) |
,
, representing the normalized spatial and temporal variables, respectively,
is the normalized uniform source of molecules, and
denotes the normalized extent of the uniform molecular source. The resulting analytical concentration profiles, calculated for normalized time intervals matching those used in the experimental and numerical analyses, are shown in Fig. 2c, iii. For consistency with the time normalization in the experimental and numerical plots the analytical normalized time depicted in Fig. 2c is taken as
. As illustrated, the presence of a uniform internal source of fluorescent molecules confined to the region between η = 0 and η = ã leads to a progressive increase in concentration over time, qualitatively capturing the accumulation behavior of the ICP plug within the main channel. Simultaneously, diffusion of molecules from this source region into the adjacent domain (η > ã) results in a gradual rise in concentration within the stagnant side channel, replicating the diffusive transport observed in both the experiments and numerical simulations. The implementation of zero-flux boundary conditions at both the beginning and the end of the 1D domain (η = 0 and η = 1 respectively) is evidenced by the vanishing concentration gradients. A convergence analysis confirmed that the first ten terms of the series expansion are sufficient to accurately capture the solution (see SI). A qualitative agreement was obtained when compared to numerical simulation results, however, the analytical solution exhibits higher concentration values. This discrepancy may be attributed to the idealized assumption of complete ICP-induced trapping of molecules within the plug in the 1D analytical model (eqn (4)), whereas in the 2D numerical model, molecular escape from the ICP-induced trap is possible.
As illustrated in Fig. 2, qualitative agreement is observed among the experimental, numerical, and analytical results for the normalized concentrations along the side channel length (Fig. 2c). Discrepancies near the side channel entrance (y/L = 0) arise from the inherent challenge of precisely positioning the preconcentrated plug at the entry point. Although the plug's location was regulated by manually adjusting either the flow velocity or the voltage applied to the ion-selective membranes, slight variations around the intersection remained. Nevertheless, there is an overall agreement in the way the normalized concentration along the channel and its increase over time behaves in both experiments and numerical/theoretical analysis. Furthermore, at the end of the side channel (y/L = 1), a boundary condition of zero flux is observed for all methods, as the slope of the concentration versus channel length is zero at this point for all times in agreement to what is expected from the fact that the liquid front at the end of the side channel, which was held by a hydrophobic barrier, is interfacing air.
, indicating the dominance of convective transport over diffusion of the fluorescent molecules. Here, u ∼ 0.25 mm s−1 is the approximate velocity of the liquid front during EWOD pulling. This velocity was estimated from the time required (∼1 s; two frames at a frame rate of 500 ms per frame) for the liquid front to transverse one electrode (500 μm, from electrode #5 to #6). The diffusion coefficient of the fluorescent molecules is D = 3 × 10−10 m2 s−1.39 The hydraulic diameter over electrode #6 is
, where h = 25 μm is the channel gap and w = 500 μm is the electrode width.
Following the generation of the first concentrated droplet, a second droplet was extracted after a shorter accumulation time, before the regenerated preconcentrated plug in the main channel had fully developed or sufficiently diffused into the side channel (35 seconds after Fig. 3a, v). This is evident from the narrower plug observed prior to the second droplet (Fig. 3b, i) compared to the wider plug before the first droplet (Fig. 3a, i). Despite the shorter accumulation time, the second droplet (∼6.4 nL) reached an average concentration of ∼11 times higher than the initial solution concentration. As shown in Fig. 3b, the convective pull during droplet formation preserved the plug's concentrated state, eliminating the need for additional diffusion time. The complete sequence of reproducing three consecutive droplets is shown in video S3.
This convective pull of the plug was also investigated through numerical simulations (Video S4). At normalized time Fom = 0.5 (Fig. 2b), side channel's boundary condition was switched from a wall to a 1.6 mm s−1 velocity outlet, simulating EWOD-induced flow. As shown in Fig. 3c, this sharply reduced the time required to increase concentration at the channel end, doubling it between Fom = 0.5 and Fom = 0.5012, compared to diffusion alone.
The plug also narrowed more quickly than it accumulated, consistent with both experimental and simulation results. Although the second droplet (Fig. 3b) was expected to be more concentrated than the first (Fig. 3a), it also pulled in downstream dilution, resulting in similar final concentrations. These findings demonstrate that introducing a preconcentrated plug into a stagnant side channel, followed by droplet generation, effectively extracts enriched volumes. While convective pull causes some dilution, concentrations remain relatively high (∼11 areal averaged factor) compared to the initial concentration of the solution. Importantly, for subsequent droplets, convective pull alone maintains enrichment, eliminating the need for additional diffusion or accumulation.
, indicating the dominance of convective transport over diffusion of the fluorescent molecules. Here, u ∼ 1 mm s−1 is the approximate velocity of the liquid front during EWOD pulling. This velocity was estimated from the time required (∼500 ms; within a single frame at a frame rate of 500 ms per frame) for the liquid front to transverse one electrode (500 μm, from electrode #2 to #5).
In contrast to the previous experiment shown in Fig. 3a, the liquid did not remain on electrode #2, interfacing the side channel and the electrode array, when it was turned off. This behavior likely resulted from lower back pressure in the main and side channels, which may have been insufficient to hold the liquid front in place. Consequently, it was unnecessary to pull the liquid to the right to cut a droplet, as was done previously. Instead, simply activating the leftmost electrode (electrode #7) and the electrode in the side channel (electrode #2) was sufficient to generate a droplet (Fig. 4a, 6:27 (min:s)). The resulting droplet had a volume of 7.5 nL and exhibited an average fluorescent concentration approximately twice that in the side channel just before plug pulling (Fig. 4a, 6:11 (min:s)). As shown in Fig. 4a, the plug narrowed during convective pulling because the pull rate exceeded the plug's accumulation rate. Simultaneously, the convective force also drew in diluted solution from downstream of the plug into the side channel, limiting further increases in droplet concentration. These trends are consistent with those observed in Fig. 3. A higher voltage was required for EWOD actuation compared to the previous experiment (Fig. 3a and b), which led to the formation of small satellite droplets near the liquid front, as seen in Fig. 4a.42,43 This increased voltage requirement may be attributed to surface impurities, such as slight variations in the dielectric or hydrophobic coating thickness, which introduced localized resistance that the EWOD force had to overcome. The droplet generation process is also demonstrated in Video S5. Numerical simulations were also conducted to examine the generation and convective pulling of the ICP preconcentrated plug into the side channel, using normalized time increments (ΔFom = 0.0034) small enough to minimize diffusion effects (see Video S6). These increments matched those used in the experimental images of Fig. 4a, adjusted for the differing side channel lengths: 600 μm in the experiment (Fig. 4a) and 75 μm in the simulation (Fig. 4b). A 98 V DC voltage was applied across the ion-selective membranes, and a 0.7 μm s−1 velocity inlet boundary condition was set in the main channel, consistent with prior simulations (Fig. 2 and 3). During plug formation, an internal wall midway along the side channel restricted diffusion, mimicking the diluted region observed experimentally at time t = 6:11 (min:s) (Fig. 4a). After sufficient plug accumulation (Fig. 4b, Fom = 0.533), this wall was removed, and the channel outlet was set to a velocity boundary of 1.6 mm s−1.
The simulation results (Fig. 4b) qualitatively align with the experiment, showing that convective pulling significantly increased concentration at the side channel end—by a factor of two—while narrowing the plug. However, it also drew in diluted downstream solution, limiting the maximum concentration. These findings show that convective pulling enables rapid generation of concentrated droplets without relying on diffusion, though the concurrent intake of diluted solution constrains the overall concentration enhancement.
Utilizing the convective pulling method, experiments were conducted on two additional platforms to demonstrate the localized enrichment and discrete droplet generation of fluorescently tagged 23-mer DNA and green fluorescent protein (GFP). To initiate ICP-based DNA preconcentration within the main microfluidic channel, a potential difference of 45 V was applied across the ion-selective membranes. Subsequently, the EWOD array was sequentially actuated to transport the preconcentrated plug onto electrodes #10 and #11. By maintaining these electrodes in an active state, the liquid's front was pinned over them while a mechanical plunger induced hydrodynamic backflow toward the channel inlet. This coordinated action resulted in the formation of a 29 nL droplet (Fig. 4c) exhibiting an areal-averaged 8-fold increase in DNA concentration relative to the initial solution concentration (see Video S7). For this experiment, the device featured a channel gap of 50 μm to demonstrate the protocol's adaptability to larger microfluidic gaps.
A similar protocol was applied for the manipulation of GFP molecules. A potential difference of 80 V was applied across the ion-selective membranes to generate a preconcentrated plug of GFP. Upon actuation of the EWOD electrodes, the plug was translated onto the digital microfluidic array. Activation of electrodes #7, #11, and #12 then enabled lateral fluid pulling, resulting in the formation of a 12 nL droplet with an areal-average 2.5-fold enhancement in GFP concentration relative to the initial solution concentration. The droplet was subsequently split into two smaller droplets, as shown in Fig. 4d (see Video S8). The results were validated across four independent devices, demonstrating reproducible on-chip molecular enrichment and discrete extraction of concentrated droplets. Droplet concentration depends on coupled parameters—including plug morphology, flow rate, and channel geometry—whose optimization is beyond the scope of this study. As a proof of concept, this work focuses on extracting and preserving enriched analytes from continuous flow and assessing droplet enrichment relative to the initial bulk concentration. This strategy overcomes a key limitation of ICP-based preconcentration, where enriched plugs rapidly disperse once the voltage is removed. Isolating the plug as a discrete droplet enables downstream analysis without continuous flow or sustained electrical bias.
These findings demonstrate that the proposed hybrid platform offers a reliable and efficient approach for extracting discrete volumes of preconcentrated solutions. It enables the direct generation of preconcentrated droplets from microchannels into an air environment, without the need for an oil medium. This capability is expected to substantially improve the integration of continuous microfluidic capabilities, such as bioparticle preconcentration, with the ability to extract these preconcentrated plugs from the system via the EWOD platform.
Supplementary information is available and includes the fabrication process (Fig. S1), calibration of measured fluorescence intensity (Fig. S2), geometry of the numerical simulations (Fig. S3), experimental and numerical flow streamlines (Fig. S4), geometry of the analytical solution (Fig. S5), time sequences showing the generation of a droplet from the stagnant side channel (Fig. S6), flow velocity measurement using particle tracking (Fig. S7), analytical model formulation and derivation, convergence of the analytical solution (Fig. S8), and Videos S1–S8. See DOI: https://doi.org/10.1039/d5lc00647c.
| This journal is © The Royal Society of Chemistry 2026 |