`
`www.rsc.org/loc | Lab on a Chip
`
`Simultaneous measurement of reactions in microdroplets filled
`by concentration gradients†
`
`Nicolae Damean,a Luis F. Olguin,b Florian Hollfelder,b Chris Abella and Wilhelm T. S. Huck*a
`
`Received 27th November 2008, Accepted 23rd February 2009
`First published as an Advance Article on the web 19th March 2009
`DOI: 10.1039/b821021g
`
`This work describes a technology for performing and monitoring simultaneously several reactions
`confined in strings of microdroplets having identical volumes but different composition, and travelling
`with the same speed in parallel channels of a microfluidic device. This technology, called parallel
`microdroplets technology (PmD), uses an inverted optical microscope and a charge-coupled device
`(CCD) camera to collect images and analyze them so as to report on the reactions occurring in these
`microdroplets. A concentration gradient of one reactant is created in the microfluidic device. In each
`channel, a different concentration of this reactant is mixed with a fixed amount of a second reactant.
`Using planar flow-focusing methodology, these mixtures are confined in microdroplets of pL size which
`travel in oil as continuous medium, avoiding laminar dispersion. By analyzing the images of parallel
`strings of microdroplets, the time courses of several reactions with different reagent compositions are
`investigated simultaneously. In order to design the microfluidic device that consists in a complex
`network of channels having well-defined geometries and restricted positions, the theoretical concept of
`equivalent channels (i.e. channels having identical hydraulic resistance) is exploited and developed. As
`a demonstration of the PmD technology, an enzyme activity assay was carried out and the steady-state
`kinetic constants were determined.
`
`1.
`
`Introduction
`
`This paper describes a microsystem-based technology that
`compartmentalizes and measures simultaneously different reac-
`tions in pL volumes. This technology, which we call parallel
`microdroplets technology (PmD), analyses optically a set of
`reactions confined in strings of water-in-oil microdroplets that
`have identical volumes (5 to 60 pL), travel with identical speeds
`(0.25 to 6 mm s 1) and contain different reactant concentrations.
`The technology provides a flexible method for analyzing
`a number of reactions simultaneously and continuously.
`Microdroplets technology is emerging as a robust technology
`for performing individual experiments in nL–pL volumes.1–4 This
`technology offers consistent compartmentalization (identical
`microdroplets under
`identical
`conditions), avoids
`cross-
`contamination of
`the samples to be analyzed by minimal
`manipulation of reactants and uses small quantities of reactants
`which are transported without dispersion. It has applications in
`chemistry and biology such as enzyme kinetics,5–9 cell based-
`assays,10,11 in vitro protein expression12 and mass production of
`monodisperse particles.13
`Despite the importance of performing and analyzing experi-
`ments simultaneously, no such technology is available for
`
`aDepartment of Chemistry, University of Cambridge, Lensfield Road,
`Cambridge, CB2 1EW, UK. E-mail: wtsh2@cam.ac.uk
`bDepartment of Biochemistry, Tennis Court Rd, Cambridge, CB2 1QW,
`UK
`† Electronic supplementary information (ESI) available: 1. Measurement
`of speed of microdroplets in the parallel channels (Table S1 and Movie
`S1); 2. construction of the standard curve (fluorescence vs. product
`concentration) for microdroplets in the parallel channels (Fig. S1). See
`DOI: 10.1039/b821021g
`
`microdroplets. Although the generation of parallel strings of
`microdroplets was demonstrated,14 this work is not suitable for
`carrying out different reactions and monitoring them simulta-
`neously. We developed the PmD based on microdroplets tech-
`nology, to perform simultaneous reactions. For this purpose, we
`generated a set of strings of microdroplets in the same device, so
`that each string of microdroplets carries out a reaction using
`a different concentration of reactants, and the device is easily
`interfaced to the outside world (sample loading and detection).
`We associated a certain time moment to each position in all
`channels, as all microdroplets travel steadily with the same speed.
`To monitor the reactions in microdroplets, we used an optical
`microscope coupled to a charged-coupled device (CCD) camera.
`In general, the PmD is useful for reactions of the following
`type:
`
`R1(c) + R2
`
`/ P(c,t)
`
`(1)
`
`where each string of microdroplets contains a certain concen-
`tration c of reactant R1, (c varies from 0 in the first string of
`microdroplets to its maximum value in the last string), and the
`same concentration of reactant R2. The concentration of the
`product, P, is time dependent t, but also dependent on c. Each
`string of microdroplets represents a certain time-dependent
`reaction described by Eq. (1), where c is constant. To generate
`a range of concentrations of reactant R1, we create gradients in
`microfluidics.
`In this paper, we establish the PmD technology and apply it to
`enzyme activity assays. This technology has further applications
`for chemical/biological assays in strings of pL-volumes, such as
`titration reactions, protein denaturation, protein-ligand inter-
`action, synthesis of microparticles, and in any other reactions,
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`
`where the effect of concentration gradients of reactants is inter-
`rogated.
`
`2. Materials and methods
`
`We fabricated all microfluidic devices in poly(dimethylsiloxane)
`Sylgard 184 (PDMS) (Dow Corning), using soft lithography.15–17
`Briefly, we designed the microfluidic device by using Autocad
`2007 (AutoDesk) and a dark-field mask was printed (Circuit
`Graphics). Employing this mask in 1:1 contact photolithography
`with SU8-2025 negative photoresist (Microchem), we generated
`the negative master consisting of patterned photoresist on
`a silicon wafer (3-inches diam., Compart Technology). To drive
`fluids, we used electromechanical pumps (Harvard Apparatus
`PHD2000 Infusion) connected to the microfluidic device through
`polyethylene tubing PE20 (Becton Dickinson). For sealing the
`tubing to PDMS slabs, we used Araldite adhesive (Farnell). For
`all experiments, we generated aqueous microdroplets in mineral
`oil containing 2 wt % of non-ionic surfactant Span-80
`(Sigma-Aldrich). To study the reproducibility of gradient and
`microdroplets formation, we used food dyes (Tolbest) and red
`fluorescent protein (preparation described in18). For measuring
`the enzyme activity of E. coli alkaline phosphatase we used three
`stock solutions as follows: buffer (100 mM MOPS pH 7.9 with
`100 mM NaCl, 1.0 mM MgCl2 and 10 mM ZnSO2), 15 mM of
`fluorescein diphosphate (Invitrogen) in buffer, and 1.5 mM of
`E. coli alkaline phosphatase in buffer. Solutions of fluorescein
`diphosphate contained 1.125 mM of red fluorescent protein. The
`product of the enzyme reaction is fluorescein (Sigma-Aldrich).
`An inverted optical microscope (IX71, Olympus) served both
`as light source and detector. To collect color images, we used
`a CCD camera (Phantom Miro 3, Vision Research) connected to
`the microscope that was operated in the transmission mode. For
`the fluorescence measurements, we operated the same micro-
`scope in epifluorescence mode by using a mercury lamp (U-
`LH100HG, Olympus) as wide-field illumination. The sample was
`illuminated and the image collected by using the same objective
`(UPlanFL N 10x/0.30, Olympus). We separated the fluorescence
`emission from the illumination by using fluorescence mirror sets
`(U-MF2, U-MWIG3, Olympus). To acquire the emission light,
`we used an EM-CCD camera (iXon+, Andor Technologies) and
`analyzed these images with its accompanying software. To
`measure the emission light, we defined regions of interest (40-
`pixels length 10-pixels width), and recorded the emission light
`of these regions. We calculated the fluorescence intensity as
`a mean of 20 individual readings taken at 1-min time interval,
`each reading being an average of 5 measurements taken at 5-s
`time interval, after background subtraction.
`
`3. Results and discussion
`
`3.1. The concept of equivalent channels and design of the
`microfluidic device
`
`Our objective is to develop a technology that can generate,
`manipulate and analyze (bio)chemical reactions in nL–pL
`volumes, simultaneously. This technology essentially represents
`a miniaturised miniaturization of
`the multi-well plate (the
`established technology for simultaneous experiments on volumes
`in the range of mL-mL). One fundamental property of the
`
`microplate is that its wells have the same volume. Refining our
`objective for the PmD, we need to assure that our microdroplets
`have identical dimensions and flow with the same speed.
`We fabricated a microfluidic device on two layers (Fig. 1). The
`lower layer of the microfluidic device is detailed in Fig. 2. This
`device consists of the following sections:
`S1 (Generation of gradients of R1) – We produce solutions of
`R1 by using a technology to generate concentration gradients in
`laminar flow, based on diffusive mixing of substances.19 This
`section has two inlet ports, R1 and water. If the fluids loading
`these ports have identical flow rates, the flow rates are identical in
`all four channels at the end of S1, and we obtain the following
`concentrations of R1 in each channel: 0, 33, 67 and 100%, (i.e. the
`concentration varies linearly). All serpentine-shaped channels
`are identical in height, width and length.
`S2 (Generation of microdroplets and mixing) – We mix each
`solution of R1 generated in S1, with R2, both liquids in laminar
`flow, with a passive micromixer based on the Coanda effect that
`splits the fluid streams and recombines them.20 Then, we produce
`
`Fig. 1 3-D view of the microfluidic device demonstrating the parallel
`microdroplets (PmD) technology. Both layers of the device are presented.
`The inlet and outlet ports are marked distinctively. They were connected
`to the outside world through tubings. (A) Scheme. (B) Photo of the device
`placed on the microscope stage during experimental work.
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`strings of microdroplets by using the planar flow-focusing
`methodology.21 All the microdroplets contain the same volu-
`metric percentage of R2, but different amounts of R1. A scale
`inset in Fig. 2 shows a quarter of S2, all quarters being identical.
`S3 (Lab and screening) – The reactions start and progress in all
`four channels, and the reactants are continuously mixed by
`chaotic advection induced in the microdroplets by serpentines.9,22
`To follow the reactions, images are taken (in transmission mode
`or epifluorescence mode) and analyzed. This section consists of
`identical channels, arranged in parallel to minimize the surface
`which is monitored by the camera as the dimension of the camera
`chips is a limiting factor for the applications. To facilitate the
`experimental work, these parallel channels are marked equidis-
`tantly in 1-mm steps. We inspect the images along these marks to
`collect the experimental data.
`S4 (Control and interface) – This section guaranties identical
`microdroplet size and speed in each channel, and also acts as the
`interface with the outside world for R2, oil, and the strings of
`microdroplets. This section is fabricated on two layers (Fig. 1).
`The upper layer contains two separate chambers. One chamber
`(the outlet chamber) collects all the four outlet ports from the
`lower layer in a single outlet port that connects by tubing to the
`outside world. The other chamber (the inlet chamber) distributes
`R2 (arriving to its inlet port via tubing) to all four inlet ports for
`R2 in the lower layer. These two chambers have large volumes, so
`they introduce negligible hydraulic resistances in our microfluidic
`device in comparison with the resistances introduced by the
`narrow and long channels in the lower layer. In this way, we can
`achieve identical pressure differences across all channels.
`Similar to the section S3, the channels for the strings of
`microdroplets in the section S4 should be identical in length,
`width, and height (Fig. 2). However, unlike section S3, these
`channels are kept widely apart to accommodate large outlet holes
`
`(1-mm-diameter, marked as outlet ports, and organized on
`a circle arc) between 50-mm-wide channels. A hole for the outlet
`port (punched in the outlet chamber of the upper layer) corre-
`sponds to the centre of this circle.
`The positioning of the channels (for the strings of micro-
`droplets) and of the holes between them prevented us from
`designing identical channels for reactant R2 and for oil in the
`section S4. Consequently, we have to use non-identical channels
`(i.e. channels having different geometries) but identical hydraulic
`resistance. For this purpose, we exploited and developed the
`theoretical concept of equivalent channels. This concept is
`applicable for rectangular and any other non-circular channels.
`Two channels are equivalent if they have identical hydraulic
`resistance (the fluids flow with identical flow rates when the
`pressure differences along these channels are identical). We detail
`next an analytical expression of this definition.
`For laminar flow, the hydraulic resistance of a channel is
`defined by:
`
`Rh ¼ dp
`Q
`
`(2)
`
`where dp is the pressure difference along the channel, Q is the
`flow rate defined by:
`
`Q ¼ Vav , p,D 2
`
`h
`
`4
`
`(3)
`
`Vav is the cross-sectional averaged velocity, and Dh is the
`hydraulic diameter of the channel.
`Using Eqs. (2) and (3), the hydraulic resistance is calculated as:
`
`Rh ¼ 8,Po
`
`p
`
`, m,dx
`D 4
`h
`
`(4)
`
`Fig. 2 Lower layer of the microfluidic device. The mask used for photolithography is displayed. Channels are coloured in accordance with their
`utilization: white for water, green for R1, red for R2, yellow for oil, and orange for the strings of microdroplets. The device is composed of four sections.
`In the section S1, a concentration gradient of R1 was produced in four parallel channels. Solutions of R1 were mixed with reactant R2 in the section S2,
`and strings of microdroplets having identical dimensions and flowing with the same speed were generated (see scale inset). These microdroplets were
`investigated using a CCD camera coupled to an optical microscope. The images were collected along the marks displayed in the section S3. The strings of
`microdroplets left the device in the section S4 through a single outlet port in the upper layer of the device (see also Fig. 1). Reactant R2 was distributed
`from a single inlet port of the upper layer into the lower layer of the device in the section S4 (see also Fig. 1). The oil was also distributed from a single
`inlet port. In the section S4, channels having different widths but identical heights were used for reactant R2 and for oil (see scale inset), in accordance
`with the concept of equivalent channels developed in this work.
`
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`where the dimensionless Poiseuille number Po is expressed in
`terms of experimental quantities as:
`
`Po ¼ 1
`m
`
`, dp
`dx
`
`, D 2
`2,Vav
`
`h
`
`m is the fluid viscosity and dp/dx is the pressure gradient along the
`channel.
`It has been proven that the Poiseuille number is solely
`dependent on the shape of the cross-section (e.g., rectangular,
`triangular, hexagonal).23 For rectangular channels (which are of
`interest for our design), Po depends only on the aspect ratio g of
`the cross-section, Po ¼ Po(g), where g ¼ h/w; h, w ¼ height and
`width of the channel, respectively. In this case, Po is expressed as
`a five-degree polynomial function of the argument g.24,25 The
`hydraulic diameter for rectangular channels is:
`
`Dh ¼ 2,h,w
`h þ w
`
`¼ 2,h
`g þ 1
`
`(5)
`
`Using Eq. (4), we exploited the definition of two equivalent
`rectangular channels as:
`Poðg1Þ,L1
`D 4
`h1
`
`¼ Poðg2Þ,L2
`D 4
`h2
`
`(6)
`
`and explicitly from Eqs. (5) and (6) as:
`Po(g1),L1,(g1 + 1)4 ¼ Po(g2),L2,(g2 + 1)4
`
`(7)
`
`Fig. 3 Two equivalent rectangular channels. The flow rates Q in these
`channels are identical if the pressure differences dp along these channels is
`identical, namely the channels have identical hydraulic resistance. This
`equivalence was used for designing the channels for reactant R2 and for
`oil, both in the lower layer of S4. These channels have the same heights h
`but different widths w and lengths L.
`
`where L is the length of the channel, and indexes are used to
`identify two equivalent rectangular channels having different
`lengths and widths, but identical height. For example, by using
`Eq. (7), two channels are equivalent if the width of the second is
`double the width of the first and the length of the second is 2.891
`times longer than the length of the first (Fig. 3).
`Applying the concept of equivalent channels for reactant R2
`and for oil, we obtained the design presented in Fig 2, where all
`ports in the lower layer of S4 are placed so that we can fabricate
`a compact device where all microdroplets have identical dimen-
`sions and flow with the same speed.
`From Eq. (7), we observe that the characteristic of two chan-
`nels as being equivalent does not depend on the fluid material
`properties, velocities, or temperatures, but it dependents only on
`the aspect ratio of the cross-sections and length of the channels.
`Also, for a given channel, there are infinite numbers of equivalent
`channels associated to it. For practical reasons (e.g., micro-
`fabrication restrictions, design flexibility), we chose to keep the
`same height for all channels, and also to work with only two
`dimensions for the width. A scale inset in Fig. 2 presents a small
`area of the lower layer of S4 to illustrate the utilization of
`channels having different widths.
`The modular structure of this microfluidic device and the
`technique of using equivalent channels in the S4 section, are
`powerful tools for future developments of this microfluidic
`device, e.g. to double the number of strings of microdroplets (and
`implicitly the number of reactions that are analyzed simulta-
`neously) from four to eight, and further, without difficulties.
`
`3.2. Fabrication and functionality
`
`We produced positive replicas in PDMS of the negative master
`containing 50-mm-deep channels by molding liquid pre-polymer
`and cross-linker in the recommended weight ratio of 10:1. After
`curing thermally (for 5 hours at 70 C), the layer of PDMS was
`cut and peeled away from the master. We punched the PDMS
`replica to create inlet and outlet ports for the fluids. The PDMS
`replica contained both the lower layer (S1, S2, S3, and part of S4),
`and the upper layer (the other part of S4). The upper layer was
`detached from the PDMS replica. Then, we sealed irreversibly
`the lower layer to a clean glass substrate, both being plasma
`oxidized (2 Torr, 60s, 100W) and brought together immediately
`after activation. Then, the upper layer was sealed irreversibly to
`the lower layer. We aligned these two layers by eye, with an
`
`Fig. 4 Demonstration of the PmD technology. Gradient formation, mixing of fluids, and microdroplets formation are shown. The flow rates were: 50 ml
`h 1 for water and for green dye (R1), 75 ml h 1 for red dye (R2), and 150 ml h 1 for oil. The speed of microdroplets was 2.57 mm s 1 in all channels.
`
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`alignment error smaller than 0.5 mm which is suitable for our
`final target. We sealed with adhesive the tubing to the PDMS
`layers to prevent leaking.
`All the channels in this microfluidic device were 50-mm wide,
`excepting some parts of the channels that carry R2 and oil in the
`lower layer of S4 which are 100-mm wide, in accordance with the
`concept of equivalent channels.
`To check the functionality of the device, we used food dyes in
`Milli-Q water, namely green dye as R1 and red dye as R2 (Fig. 4).
`We generated gradients of green dye in Milli-Q water. Each
`string of microdroplets contained a certain concentration of
`green dye and a fixed concentration of red dye. We varied the
`flow rate of the aqueous streams from 0.5 ml h 1 to 100 ml h 1, and
`the flow rate of the oil stream from 25 mL h 1 to 150 mL h 1 to
`generate different sizes of microdroplets. For each set of condi-
`tions, we measured the length of the microdroplets in all four
`channels. We found that the deviation between these measure-
`ments was less than 4% for the microdroplets between 50 and 250
`mm. If the length of the microdroplets was less than 50 mm, this
`deviation was 9%. These results are in agreement with those
`reported in,14 where strings of microdroplets having identical
`composition were studied. For experiments that last a few hours,
`we preferred to work with microdroplets in the range from 100 to
`200 mm, because of their stability. In the Supplementary Infor-
`mation, we included results showing all microdroplets are trav-
`elling at the same speed under a large range of flow rates in the
`microfluidic device.
`
`3.3 Enzyme activity assays
`
`To demonstrate the use of PmD for biological applications, we
`measured the steady-state kinetics of the enzyme hydrolysis of
`fluorescein diphosphate by E. coli alkaline phosphatase. As R1
`we used a stock solution of fluorescein diphosphate in buffer. We
`loaded the water inlet with buffer to create a concentration
`gradient of R1 (0, 33, 67 and 100%) at the end of the section S1. In
`the section S2, we mixed individually each of these four streams
`of substrate with the stock solution of E. coli alkaline phospha-
`tase that plays the role of R2. We formed microdroplets con-
`taining these two reactants, and monitored, simultaneously, the
`progress of these four reactions by measuring the fluorescence
`emission along section S3.
`To make sure that our device worked as expected, we moni-
`tored formation of the gradients in the section S1, a task facili-
`tated by having red fluorescent protein in R1. Red fluorescent
`protein worked as a marker for our experiment because its
`emission wavelength (607 nm) is different from the emission
`wavelength (520 nm) of the fluorescein (product of our reaction).
`Therefore, we monitored the formation of the gradient without
`interfering with the reaction we studied (Fig. 5). We observed the
`fluids were fully mixed in the middle of the serpentines of the
`section S1.
`We measured the increase of fluorescence intensity as the
`microdroplets passed along section S3. With the flow rates used
`in this experiment, we were able to monitor the time course of the
`reaction for 10 seconds (Fig. 6A). Using the same device, we
`varied the flow rates of buffer, R1 and R2 (to keep their total flow
`rate constant, so all microdroplets had the same size and trav-
`elled with the same speed in all channels and for the duration of
`
`Fig. 5 Images collected in the measurement process of the enzyme
`activity assay. (A) Optical micrograph (transmission mode) of the first
`level of gradients formation, optical micrograph (fluorescence mode) of
`the concentration gradients, and the dependencies intensity vs. pixel
`number along two lines: green line for concentrations of 0 and 100%, and
`red line for concentrations of 0, 50, and 100%. (B) Similar with (A), but
`for the second level of gradients: green line for concentrations of 0, 50,
`and 100%, and red line for concentrations of 0, 33, 67, and 100%. The
`concentration levels (indicated by stars) varied linearly across the device.
`(C) Optical micrographs (fluorescence mode) of the microdroplets
`carrying the enzyme reaction. These images were taken along the marks
`in the section S3 (see also Fig. 2). Red frames indicate the regions of
`interests monitored by the camera.
`
`the entire experiment) and we collected two further sets of data
`(Figs. 6B and 6C). In this manner, we obtained three sets of data
`associated to different ratios of substrate concentration vs.
`enzyme concentration. To convert the fluorescent measurements
`to product concentrations we used a standard curve constructed
`by operating the device with buffer, product and enzyme (see
`
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`Fig. 6 Enzyme activity assays. (A)–(C) Fluorescent intensity as a function of time measured by PmD for the hydrolysis reaction of fluorescein
`diphosphate by E. coli alkaline phosphatase at pH 7.9. Each graph corresponds to an experiment performed at fixed flow rates of oil, buffer, fluorescein
`3.33 mM and : 0.0 mM; enzyme concen-
`10 mM,
`6.67mM,
`diphosphate and E. coli alkaline phosphatase. (A) Initial substrate concentrations:
`tration: 0.5 mM; flow rates: 10, 10, 10, 10 (for oil, buffer, fluorescein diphosphate and E. coli alkaline phosphatase respectively, expressed in ml$h 1). (B)
`2.67 mM and : 0.0 mM; enzyme concentration: 0.7 mM; flow rates: 10, 8, 8, 14. (C) Initial
`8.0 mM,
`5.33 mM,
`Initial substrate concentrations:
`1.67 mM and : 0.0 mM; enzyme concentration: 1.0 mM; flow rates: 10, 5, 5, 20. In all graphs from (A)–
`5.0 mM,
`3.33 mM,
`substrate concentrations:
`(C), the error bars represent standard deviation of 100 measurements. (D) Michaelis-Menten graph of the hydrolisis of fluorescein diphosphate by E. coli
`alkaline phosphatase obtained from the normalized experimental data presented in Fig. 6A (blue stars); 6B (red stars) and 6C (green stars). The R2 of the
`fitting quality is 0.98. Inset presents comparison between the steady-state kinetic constants obtained by the PmD and a conventional 96-well plate.
`
`for each data set, we
`Supplementary Information). Then,
`calculated the initial rates and we normalized them by dividing to
`the enzyme concentration. We plotted the normalized initial
`rates vs. substrate concentration and fitted to the Michaelis-
`Menten equation vn ¼ kcat
`$[R1]$/(KM + [R1]), where vn is the
`normalized initial rate, [R1] is the initial substrate concentration
`for each experiment, kcat is the turnover rate constant, and KM is
`the Michaelis constant (apparent dissociation constant of the
`enzyme-substrate complex). We obtained values of kcat and KM
`(Fig. 6D). These values are in close agreement with data obtained
`when we performed a conventional assay in a 96-well plate using
`the same reactants as those used in the microfluidic device.
`The enzyme assay studied in this paper is an example of using
`the PmD to perform simultaneously a set of chemical/biochemical
`reactions.
`A major advantage is that we only need to load our device with
`four liquids to run the entire study, and no further dilutions are
`needed. By following the same approach, a device providing
`
`a gradient of eight or more different concentrations would be
`straightforward to make. Also, in the PmD technology, we can
`use concentrations that vary non-linearly if the loading fluids
`have different flow rates or/and we change the geometry of S1.19
`Concentration gradients can be beneficial for the analysis of
`biological processes such as axon pathfinding,26 high content
`screening of cells,27 chemotaxis studies,28,29 high-throughput cell-
`based assays,30 and monitoring of gene expression in live cells.31
`This technology minimizes the costs of the samples, contami-
`nation of reagents, and also the manual labour involved in
`analysing larger number of samples. By manipulation a few
`syringes during an experimental session, it is possible to modify
`continuously the concentration of reactants in microdroplets,
`broaden or focus the concentration ranges studied based on the
`results obtained so far in that session. The time range studied
`(and thus the sensitivity of the assay) can be adjusted by
`extending the length of the microfluidic channels along which
`images are recorded.
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`1712 | Lab Chip, 2009, 9, 1707–1713
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`4. Conclusions
`
`This work demonstrates a versatile and reliable technology for
`compartmentalization and simultaneous monitoring of different
`reactions in parallel strings of microdroplets generated in
`microsystems. The parallel microdroplets technology (PmD)
`integrates readily available equipment (an optical microscope
`and a CCD camera) with a microfluidic device. Minimal
`manipulation of the fluids is needed, because this device has only
`three inlet ports for the aqueous phase (two reactants and water)
`to generate simultaneously a set of reactions in microdroplets
`flowing in an oil phase. The design of the device used for this
`technology is possible thanks to the concept of equivalent
`channels which proves to be an important design principle for
`PmD technology
`complex microfluidic
`networks. The
`provides a practical capability to the rapidly growing field of
`microanalysis.
`
`Acknowledgements
`
`This work was supported by the EPSRC and the RCUK Basic
`Technology Programme.
`
`References
`
`1 T. Thorsen, R. W. Roberts, F. H. Arnold and S. R. Quake, Phys. Rev.
`Lett., 2001, 86, 4163–4166.
`2 S.-T. Teh, R. Lin, L.-H. Hung and A. P. Lee, Lab Chip, 2008, 8, 198–
`220.
`3 B. T. Kelly, J.-C. Baret, V. Taly and A. D. Griffiths, Chem. Commun.,
`2007, 1773–1788.
`4 H. Song, D. L. Chen and R. F. Ismagilov, Angew. Chem., Int. Ed.,
`2006, 45, 7336–7356.
`5 H. Song and R. F. Ismagilov, J. Am. Chem. Soc., 2003, 125, 14613–
`14619.
`6 L. S. Roach, H. Song and R. F. Ismagilov, Anal. Chem., 2005, 77,
`785–796.
`7 E. M. Miller and A. R. Wheeler, Anal. Chem., 2008, 80, 1614–
`1619.
`8 K. Ahn, J. Agresti, H. Chong, M. Marquez and D. A. Weitz, Appl.
`Phys. Lett., 2006, 88, 264105.
`
`9 A. Liau, R. Karnik, A. Majumdar and J. H. D. Cate, Anal. Chem.,
`2005, 77, 7618–7625.
`10 A. Huebner, L. F. Olguin, D. Bratton, G. Whyte, W. T. S. Huck,
`A. J. deMello, J. B. Edel, C. Abell and F. Hollfelder, Anal. Chem.,
`2008, 80, 3890–3896.
`11 J. Clausell-Tormos, D. Liber, J.-C. Baret, A. El-Harrak, O. J. Miller,
`L. Frenz, J. Bouwolff, K. J. Humphry, S. K€oster, H. Duan, C. Holtze,
`D. A. Weitz, A. D. Griffiths and C. A. Merten, Chemistry & Biology,
`2008, 15, 427–437.
`12 F. Courtois, L. F. Olguin, G. Whyte, D. Bratton, W. T. S. Huck,
`C. Abell and F. Hollfelder, ChemBioChem, 2008, 9, 439–446.
`13 T. Nisisako and T. Torii, Lab Chip, 2008, 8, 287–293.
`14 W. Li, E. W. K. Young, M. Seo, Z. Nie, P. Garstecki, C. A. Simmons
`and E. Kumacheva, Soft Matter, 2008, 4, 258–262.
`15 D. C. Duffy,
`J. C. McDonald, O.
`J. A. Schueller and
`G. M. Whitesides, Anal. Chem., 1998, 70, 4974–4984.
`16 V. Linder, H. K. Wu, H. K. Jiang and G. M. Whitesides, Anal. Chem.,
`2003, 75, 2522–2527.
`17 S. K. Sia and G. M. Whitesides, Electrophoresis, 2003, 24, 3563–3576.
`18 R. E. Campbell, O. Tour, A. E. Palmer, P. A. Steinbach, G. S. Baird,
`D. A. Zacharias and R. Y. Tsien, Proc. Natl. Acad. Sci. USA, 2002,
`99, 7877–7882.
`19 S. K. W. Dertinger, D. T. Chiu, N. L. Jeon and G. M. Whitesides,
`Anal. Chem., 2001, 73, 1240–1246.
`20 C.-C. Hong, J.-W. Choi and C. H. Ahn, Lab Chip, 2004, 4, 109–113.
`21 S. L. Anna, N. Bontoux and H. A. Stone, Appl. Phys. Lett., 2003, 82,
`364–366.
`22 H. Song, J. Tice and R. F. Ismagilov, Angew. Chem., Int. Ed., 2003,
`42, 768–772.
`23 R. K. Shah and A. L. London, Laminar flow forced convection in
`ducts, Academic Press, New York, 1978.
`24 N. Damean and P. P. L. Regtien, Sensors. Actuators A, 2001, 90, 96–
`101.
`25 W. M. Rohsenow, J. P. Harnett and Y. I. Cho, Handbook of Heat
`Transfer, 3rd Ed., McGraw-Hill, New York, 1998.
`26 S. K. W. Dertinger, X. Y. Jiang, Z. Y. Li, V. N. Murthy and
`G. M. Whitesides, Proc. Natl. Acad. Sci. USA, 2002, 99, 12542–12547.
`27 N. Ye, J. Qin, W. Shi, X. Liu and B. Lin, Lab Chip, 2007, 7, 1696–
`1704.
`28 G. M. Walker, J. Sai, A. Richmong, M. Stremler, C. Y. Chung and
`J. P. Wikswo, Lab Chip, 2005, 5, 611–618.
`29 D. Irimia, S.-Y. Liu, W. G. Tharp, A. Samadani, M. Toner and
`M. C. Poznansky, Lab Chip, 2006, 6, 191–198.
`30 P. J. Hung, P. J. Lee, P. Sabounchi, R. Lin and L. P. Lee, Biotechnol.
`Bioeng., 2005, 89, 1–8.
`31 D. M. Thompson, K. R. King, K. J. Wieder, M. Toner,
`M. L. Yarmush and A. Jayaraman, Anal. Chem., 2004, 76, 4098–4103.
`
`This journal is ª The Royal Society of Chemistry 2009
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`Lab Chip, 2009, 9, 1707–1713 | 1713
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`Published on 19 March 2009. Downloaded by Radboud Universiteit Nijmegen on 15/04/2016 15:48:58.
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