Abstract
To gain a quantitative understanding of chemosensory behaviors, it is desirable to present many animals with repeatable, well-defined chemical stimuli. To that end, we describe a microfluidic system to analyze Caenorhabditis elegans behavior in defined temporal and spatial stimulus patterns. A 2 × 2 cm2 structured arena allowed C. elegans to perform crawling locomotion in a controlled liquid environment. We characterized behavioral responses to attractive odors with three stimulus patterns: temporal pulses, spatial stripes, and a linear concentration gradient, all delivered in the fluid phase to eliminate variability associated with air-fluid transitions. Different stimulus configurations preferentially revealed turning dynamics in a biased random walk, directed orientation into an odor stripe, and speed regulation by odor. We identified both expected and unexpected responses in wild-type animals and sensory mutants by quantifying dozens of behavioral parameters. The devices are inexpensive, easy to fabricate, reusable, and suitable for delivering any liquid-borne stimulus.
Introduction
The transformation of sensory information into behavioral output by a neural circuit can be examined with a systems identification procedure: probing the system, observing its response, and inferring its dynamics1. This quantitative approach depends on precise stimulus delivery to multiple animals and accurate measurements of response2. The nematode Caenorhabditis elegans is an ideal model for studying the interplay among genes, neurons, circuits and behavior, but it has been difficult to control and quantify chemical stimulus patterns presented to freely-behaving worms. The earliest examinations of C. elegans chemosensory behavior used point sources of concentrated stimuli to generate broad spatial gradients by chemical diffusion through agar or air3,4, but these gradients were variable and changeable over time. Methods were then developed to present sudden step changes in gaseous or aqueous stimuli5–7, but these assays had limited control of the exact chemical input at the sensory apparatus, especially for volatile odors that partition between air and liquid phases.
Closed microfluidic circuits simultaneously limit the influence of the external environment and enable precise, predictable spatial and temporal stimulus patterns when operated under laminar flow. Mammalian cells and unicellular organisms have been subjected to these dynamic chemical environments8–10, and C. elegans, ~60 μm in diameter and 1 mm long, is also appropriately sized for microfluidic devices. In several recent applications for neuronal imaging, high-throughput phenotypic screens, and laser axotomy (reviewed in 11,12), C. elegans could be completely immobilized, spatially restricted while permitting body posture movements13, or allowed to navigate through undulating channels14 or structured environments14,15.
In this paper, we report a series of microstructured arenas optimized for normal C. elegans crawling behaviors and for well-controlled pulses, stripes, and linear spatial gradients of chemical stimuli. We quantify these spatiotemporal stimulus patterns and use automated behavioral classification software to analyze wild-type and mutant worms in various olfactory environments. We find that olfactory behaviors can be dissected into known and novel locomotory components, and identify genetic requirements for specific components of the olfactory response.
RESULTS
System design and overview
Behavioral arenas were composed of poly(dimethylsiloxane), a biologically-inert silicone, reversibly sealed to a hydrophobic glass substrate. Microfluidic designs featured: (1) a structured micropost array through which C. elegans moved; (2) upstream and downstream barriers that restricted animals to the arena; (3) stimulus inlets and an outlet; and (4) a worm loading port (Fig. 1a and Supplementary Notes). We optimized the arena geometry such that young adult hermaphrodites crawled with a sinusoidal motion at a similar speed, wavelength, and amplitude as they do on an agar plate (Supplementary Notes). Worms moved smoothly around hexagonally-arranged microposts, 200 μm in diameter and spaced 300 μm apart and were not compressed in the 70 μm deep arena (Fig. 1b and Supplementary Video 1).
Animals were in an entirely fluid-filled, well-oxygenated environment and exposed to liquid-borne stimuli that flowed by gravity from elevated reservoirs through manual or computer-actuated valves (Fig. 1c) and entered the arena through assay-specific inlet channels. For temporal pulses, inlets converged to a single channel and diverged through a distribution network (Fig. 1d), thereby generating a fluid interface perpendicular to the flow direction that swept across the arena and switched within 3 s (at a typical 1 mm s−1 velocity and minimally 0.3 s, Supplementary Figs. 1,2). For the stripe pattern, each inlet controlled a separate channel into the arena, resulting in stepwise variation of concentration perpendicular to flow (Fig. 1e) and a gradient width of 50–350 μm (Supplementary Figs. 1,3). Broad linear or sigmoidal spatial gradients were created with an upstream mixing tree of interconnected diverging channels (Fig. 1f and Supplementary Fig. 4). In all configurations, stimulus gradients were highly stable for hours, repeatable across trials, experiments and devices, and dynamically tunable by fluid flowrate V (varying by V1/2 for pulse and stripe assays and linearly for broad gradients, Supplementary Figs. 1–4).
Worm locomotion in behavioral arenas
On an agar surface, C. elegans moves forward with sinusoidal movement by head-to-tail propagation of dorsal and ventral body bends. Forward locomotion is interrupted by pauses, reversals, and “omega turns,” in which the animal bends head to tail with a sharp change in direction16; a bout of one or more coupled reversals and omega turns is designated a “pirouette”17. C. elegans may also “curve,” gradually reorienting during forward motion. In the microfluidic arena, worms performed all of these behaviors (Fig. 2a, Supplementary Video 1). We developed automated tracking software to identify five primary behavioral states: Forward (straight or curve), Pause, Reverse, Pirouette Reverse (the reversal before an omega turn), and Pirouette Forward (the subsequent resolution of the omega turn), as detailed in Supplementary Notes and Supplementary Table 1.
Wild-type animals loaded into a food-free, buffer-filled arena dispersed within minutes (Supplementary Video 2). Reversal, pause, and pirouette frequencies were elevated for the first 15–20 min in the device (Supplementary Fig. 5), characteristic of the local search behavior seen on agar following food removal18–20, or reflecting adaptation to the novel arena environment. Animals traversed the entire 22 × 20 mm2 arena, displaying sustained forward locomotion interspersed with occasional pauses, reversals, and pirouettes (Fig. 2b,c), and were insensitive to steady fluid flow (Supplementary Fig. 6). These macroscale behavioral patterns resembled those observed on agar surfaces, with a few exceptions (Supplementary Notes and Supplementary Fig. 7). After excluding behavior near the physical barriers, the remaining 81 ± 2% of data points were condensed into instantaneous behavioral state and speed vectors for each animal (Fig. 2d), and analyzed temporally or spatially depending on the stimulus pattern.
Behavioral responses to temporal odor patterns
We first examined odor-evoked behavioral dynamics by subjecting wild-type young adults to a series of attractive odor pulses (0.92 μM isoamyl alcohol, IAA) interspersed with buffer (Fig. 3a and Supplementary Video 3). The AWC sensory neuron pair, which is activated by IAA removal and inhibited by its addition5, directs chemotaxis by stimulating reversals and pirouettes when odor levels fall; these reorientations contribute to a biased random walk chemotaxis strategy on agar17,21,22. Consistent with this model, a stimulus-aligned ethogram of instantaneous behavioral state revealed a sharp increase in pauses, reverses, and pirouettes immediately following each odor-removal step, and suppression of these behaviors during each odor pulse (Fig. 3b,c). The peak omega turn rate of ~1.5 min−1 after odor removal (Fig. 3d) matched previous experiments5. No modulation of any parameter was apparent in control experiments switching between two buffer solutions or in a sensory mutant (Fig. 3e,f). Thus, behavioral responses in microfluidic arenas were elicited by odor and closely resembled those on agar surfaces.
We also observed new behavioral features. First, odor response adaptation was asymmetric: whereas pirouette state probability returned to baseline 90 s after odor removal, no adaptation was observed up to 3 min after odor addition (Fig. 3c,d) with only partial recovery after 10 min (data not shown). Second, behavioral states had unique temporal properties. For example, pauses and reversals that were not followed by a pirouette rose and peaked more rapidly than reversals within a pirouette (Fig. 3e). Behavioral changes were apparent within 0.5 s of odor removal, underscoring the need to switch stimuli rapidly to fully capture behavioral dynamics.
Each odor-buffer switch occurred with highly reproducible dynamics (Fig. 3e and Supplementary Fig. 2), yet behavioral responses varied considerably. We classified each response as Pirouette, Reverse, or Forward, according to the animal’s dominant behavioral state following each odor removal (Fig. 3g). Wild-type responses were divided among these groups, with 44 ± 6% (s.e.m., n = 6 experiments) performing pirouettes, 28 ± 4% reversing, and 28 ± 5% maintaining forward motion (Fig. 3f). Following removal of a 1,000-fold stronger odor stimulus, the pirouette state probability increased to 80 ± 2%, yet 7 ± 2% of these pulses still failed to elicit a reversal or pirouette. Odor addition suppressed the spontaneous pirouette response rate from 14 ± 3% to 4.0 ± 0.3%. We found no evidence that individual animals differed substantially from the population mean in response probability, or that responses to earlier pulses differed from later pulses (Fig. 3h). We also found only minor effects of experimental parameters such as position in the device, worm orientation and speed, odor pulse duration, odor gradient, and experimental time (Supplementary Fig. 8). Thus, step responses appear to be inherently probabilistic and occur with odor-regulated frequencies that are consistent across populations and repeated stimulations of individuals.
Behavioral responses to spatial odor patterns
We next tested responses to sharp spatial changes in odor by exposing animals to parallel stripes of IAA under laminar flow (Fig. 4a and Supplementary Video 4). At each stripe edge, animals experienced a sharp odor gradient but no flowrate or mechanical discontinuity. Wild-type worms accumulated in the attractive odor streams for over 80 min (Fig. 4b,c), localized equally to wide (5 mm) and narrow (1.5 mm) odor stripes, and resided preferentially at local odor maxima (Fig. 4d).
To analyze how animals reacted to sudden changes in odor concentration, we spatially averaged speed, behavioral state probabilities, and turning rates for animals heading inward (entering) or outward (exiting) near stripe edges (Fig. 4e,f and Supplementary Fig. 9). Outward-heading wild-type animals responded strongly with decreased forward speed and sharp spikes in reversals, pirouettes, and curves that prevented odor exit, whereas inward-directed animals reacted only weakly.
A peak in residence at the stripe edge reflected pauses and slowing prior to making a turn, as well as horizontal locomotion along the odor-buffer edge, which we call “surfing”. Surfing often ended in a smooth curve unaccompanied by reversals or pauses, and nearly all of these “surf” curves led toward the odor (94.4 ± 1.4% s.e.m., n = 6 experiments, 335/355 total events, Fig. 4g). This strong directional bias could not be explained by the animal’s weaker tendency to curve gradually in one direction (Supplementary Fig. 9b) and suggests deliberate steering toward odor.
We next subjected two mutants defective for IAA chemotaxis on agar to IAA stripes: tax-4, which encodes a cGMP-gated ion channel required for AWC sensory transduction, and eat-4, which encodes a vesicular glutamate transporter required for glutamatergic neurotransmission by AWC5. Neither tax-4 nor eat-4 mutants accumulated in the odor stripes (Fig. 4e), and chemotaxis indices reflecting enrichment in odor were close to zero (Fig. 4h), as in agar assays. However, while tax-4 mutants were defective for all behaviors elicited at the odor-buffer edge, eat-4 mutants showed wild-type slowing behavior on exiting the odor and resided more at the odor edges (Fig. 4e,f,h). Overall, 13 of 43 quantitative behavioral parameters were significantly affected by odor in eat-4 mutants, whereas no parameter differed between tax-4 mutants and no-odor controls (Supplementary Fig. 10). The residual function in eat-4 suggests the use of additional glutamate transporters or other transmitters by AWC, and indeed AWC also signals through neuropeptides23. Most (56–61%) behavioral parameters in each mutant were rescued by expression of the respective cDNA under the AWC promoter odr-3 (Fig. 4e,f).
Analysis of individual odor-edge encounters
To analyze response variability in the stripe assay, we constructed “edge-triggered” ethograms by aligning behavioral rasters within a –30 s to +15 s time window relative to each odor edge crossing or turn initiated at the edge (Fig. 5a,b). We grouped edge encounters by approach (inward, horizontal, or outward), by response type (forward, curve, or pirouette), and by outcome, with “correct” turns preventing odor exit (Fig. 5c). The wild-type edge encounter rate rose over time proportional to speed (Fig. 5d), but the type and correctness of edge responses remained roughly stable for 80 mins before the onset of odor adaptation (Fig. 5e); subsequent analyses were performed within this time period.
We analyzed 2,208 outward edge responses from 159 wild-type animals in six experiments (10.5 outward events animal−1 hr−1) and observed five distinct responses upon odor exit. An animal could (1) continue forward without turning, (2) reverse briefly, but then continue forward, (3) initiate a curve, (4) perform a reversal followed by a curve, or (5) perform a pirouette (Fig. 5f,g and Supplementary Video 5). Curve or pirouette behaviors (categories 3–5) could be either correct or incorrect, and showed similar average speed, position, and behavioral state trajectories with or without odor (Supplementary Fig. 11). Animals that did not turn or reverse (category 1) slowed briefly upon exiting odor but not buffer stripes, suggesting that they detected the odor edge but chose not to reorient themselves; this pure slowing response had not been described previously (Fig. 5h).
Outward odor edge responses were variable, like responses in the pulse assay: for every five edge encounters, the animal turned correctly three times (58 ± 6%), continued forward without turning once (23 ± 4% of encounters), and turned incorrectly once (20 ± 3%) (Fig. 5i). By contrast, no-odor controls and tax-4 sensory mutants mostly continued forward across the stripe edge (54 ± 2% and 67 ± 1%) and turned back into the stripe infrequently by chance (15 ± 3% and 9 ± 1%, respectively). We asked whether any feature of wild-type behavioral history could predict response outcome. All response categories showed similar speed and behavioral state probabilities until 15 s prior to the response (Supplementary Fig. 11). Within this period, the presence of a short reversal nearly tripled the likelihood of a subsequent correct turn (Supplementary Fig. 11f), perhaps by allowing repeated sampling of the stimulus or increasing the time available for decision-making.
Odor gradients
To examine the role of gradient steepness, we next quantified wild-type behavioral responses to a nearly linear odor ramp (0.15 ± 0.05 s.d. μM mm−1) over 30 times shallower than the gradient at an odor stripe edge (Fig. 6a). Animals quickly moved up the gradient but did not remain at the concentration peak (Fig. 6b,c). Instead, they cycled up and down the gradient for 2 h, such that overall residence at a particular location in the arena correlated approximately with odor concentration (Fig. 6d).
All classes of turns showed directional bias in the shallow gradient, but significantly less than was observed in the steep gradients of a stripe assay. Pirouette turns were 2.5-fold more frequent in animals traveling down the shallow gradient than up the gradient (P < 0.001 vs. no-odor control), and surf curves were directed 80% more often up than down the gradient (P = 0.06); by contrast, pirouettes and surf curves showed 7.5-fold and >10-fold directional bias at odor stripe edges, respectively (Fig. 6e-g). We observed no directional difference in speed in the shallow odor gradient (P > 0.3), in contrast to sharp gradients (Fig. 6h), suggesting that orthotaxis plays little role in chemotaxis to shallow gradients.
DISCUSSION
These microfluidic assays confirm existing models for C. elegans chemotaxis and provide new quantitative and statistical insights into stimulus-evoked behaviors. We observed klinokinesis (biased pirouette probability) and klinotaxis (curving turns directed toward the odor), as previously shown17,22, and orthotaxis (biased forward speed) in sharp gradients. We identified three new locomotory behaviors: a coupled short reversal-curve, a “surf” curve, and a pure slowing response. The short reversal-curve motor pattern results in a smaller reorientation than the long reversal-omega turn of a classical pirouette, but is nonetheless as frequent as the pirouette at an odor edge and as likely to result in a correct response. The accuracy of “surf” curves that bend smoothly toward the odor without corrective reversals suggests that C. elegans can detect the direction of the odor gradient and bias its head movements accordingly. These curves, especially prominent at high-gradient stripe edges, were also biased up shallow gradients; both surf curves and the reversal-curve pair may contribute to the directed “weathervane” klinotaxis observed on agar plates22. Lastly, the pure slowing response upon odor removal, the weakest detectable behavior, can occur without other turns and reversals. Slowing, pauses, and short reversals may all enable the worm to gather additional information about the changing environment before executing a more substantial turn.
Each response type showed stereotyped motion with nearly-identical dynamics whether spontaneous or odor-evoked, suggesting that locomotory behaviors are primarily drawn from a pre-existing set of motor patterns. Any of these behaviors could follow a sudden odor change over time or space, and individual responses were unpredictable but occurred at consistent, stimulus-dependent probabilities over repeated stimuli and across animals. The population-average behavior probabilities provide a comprehensive, quantitative phenotype sensitive to perturbations in neural circuitry: chemotaxis-deficient mutants were easily distinguished from wild type and each other. Moreover, the normal speed modulation in eat-4 but not tax-4 suggests that distinct behaviors triggered by odor stimuli differ in their reliance on glutamate as a neurotransmitter.
Microfluidic arenas offer substantial advantages in the control and versatility of stimulus patterns. Chemical gradients were quantifiable and repeatable; consequently, assay results were consistent across experiments, users, devices, and time (Supplementary Fig. 12d). Gradient strength was tunable over two orders of magnitude by fluid flowrate, an easily-accessible experimental variable (Supplementary Fig. 1), enabling the presentation of square-wave or sinusoidal chemical patterns within the same experiment. The measurement of responses to different stimulus patterns generally yielded complementary but unique data. For example, pulse assays were ideal for measuring behavioral dynamics and variability by subjecting all animals to the same odor pattern, whereas stripe and gradient assays allowed assessment of turn orientation and taxis strategy but provided each animal a unique (though measurable) olfactory experience determined by its own movements.
Various liquid-borne stimuli can be presented in these devices, whether attractive or repulsive, and singularly or simultaneously: aqueous solutions, dissolved odors and gases, bacterial food, and fluids of defined temperature (Supplementary Fig. 12). All stimulus modalities are presented in the same physical environment, a hybrid liquid/solid structured environment that may resemble the natural soil habitat of C. elegans14. Alternate behavioral assays remain advantageous for specific applications; for example, the microdroplet assay6 can screen behavior of several worms and recover them individually after the assay, whereas worms are recovered from our microfluidic arenas as a mixed population.
Overall, we designed these devices for simplicity in fabrication (as single-layer, unbonded silicone casts) and in operation (stimuli could be switched using standard Luer valves, and disassembled devices could be cleaned for reuse). Second-generation devices increased experimental throughput without compromising behavioral data (Supplementary Fig. 12), testing up to four separate populations and four stimuli simultaneously. Arenas are also compatible with more complex, automated fluidic designs, toward the integration of behavioral measurements with high-throughput screening24, optogenetic analysis25, and calcium imaging11 within a single platform. By increasing the reliability and detail of behavioral measurements, the control and variety of imposed sensory environments, and the throughput of experiments, these microfluidic arenas should accelerate the study of neural circuit functions and their underlying genetic and molecular bases.
METHODS
Strains and worm preparation
C. elegans were maintained under standard conditions and fed with OP50 bacteria26. Wild-type animals were Bristol strain (N2). Other strains used in this study include: FK103 tax-4 (ks28), CX5 eat-4 (ky5), CX7535 tax-4 (ks28); kyEx936 [odr-3::tax-4::GFP], and CX9066 eat-4 (ky5); kyEx1779 [odr-3::eat-4::sl2::CFP]; both transgenes were injected at 50 ng μL−1. To provide age-synchronized young adults for each experiment, we picked L4-stage worms onto agar plates 15–20 h earlier (or 20–24 h prior for eat-4 mutants, which grew more slowly). Immediately prior to each experiment, we gently transferred ~25 worms onto a fresh, unseeded agar plate with a small amount of bacteria. After removing excess bacteria, we flooded the plate with ~5 mL S-basal buffer (100 mM NaCl, 50 mM potassium phosphate, pH 6.0) and drew animals into the loading tubing using a 1-mL syringe.
Device fabrication
We prepared monolayer microfluidic devices using soft lithography27. Briefly, we fabricated silicon mold masters using conventional photolithographic techniques to pattern a 70 μm layer of SU8 2050 photoresist (Microchem) on 4 inch wafers (Silicon Quest). Sample photomask designs are available in Supplementary Data 1 online. We then prepared plastic mold masters from each silicon master in a two-step process. First, we cast a PDMS mold “positive” from the silicon master, embedding a 2” × 3” glass slide within to increase the rigidity of the PDMS cast. Next, we poured liquid polyurethane (Smooth-Cast 310, Smooth-On) over the PDMS “positive” and allowed it to cure. This process could be repeated several times to create many durable, reusable, and monolithic “negative” molds with 3D features nearly identical to the original silicon mold28. At the final stage, we cast ~5 mm thick PDMS devices (Sylgard 184 A and B, 1:10 by weight; Dow Corning) and cored inlet and outlet holes with a 1-mm dermal punch (Accuderm). Unlike most microfluidic devices that are irreversibly bonded to glass, plastic, or PDMS by plasma activation, these devices were reversibly sealed. Sealing required three features: (1) clean, flat device surfaces, (2) a hydrophobic-treated glass substrate, and (3) a glass upper support slide to allow the application of pressure via miniature binder clips. We exposed glass substrates to (tridecafluoro-1,1,2,2-tetrahydrooctyl)-1-trichlorosilane (United Chemical Technologies) vapor for 1 hr in vacuum to render them hydrophobic, and drilled inlet and outlet holes in the upper glass slide with a diamond-coated bit. We cleaned devices in 95% EtOH at least overnight to remove residual PDMS monomers and/or odor stimuli, rinsed them in water, and baked them for 30 min at 55 oC to evaporate any absorbed EtOH.
Stimulus flow control
We controlled the flow of buffers and stimulus odor streams with manual Luer valves or automated valves (Lee Corporation) actuated by computer with custom MATLAB scripts, a LabJack U3-HV digital controller, and a Valvebank 8 II actuator (Automate). We regulated flow velocities in the arena up to ~2 mm s−1 by gravity proportional to the height differential Δh between the stimulus and outflow reservoir surfaces (e.g., 1 mm s−1 velocity at Δh ~ 45 cm). The flowrate decreased by less than 1.3% hr−1 due to the reduction in fluid level at the stimulus reservoirs (–6 mm hr−1 total among all reservoirs at 1 mm s−1 and 3.3 mL hr−1; we kept the outflow level constant via vacuum suction). We obtained faster flow by pressurizing the stimulus reservoirs with a regulated air tank (up to 8 mm s−1 at 35 kPa pressure), or with a syringe pump (Harvard Apparatus, up to 40 mm s−1).
Experimental setup
We assembled the microfluidic arenas and degassed them in a vacuum dessicator for 5–10 min prior to loading a 5 wt% Pluronic F127 solution through the outlet port; these steps produced a bubble-free arena within minutes. The polymer solution acts as a surfactant, thereby filling the arena more completely than S-basal buffer alone, and also adsorbed to arena surfaces rendering them resistant to protein or bacterial fouling. Degassing the devices caused any remaining bubbles absorb rapidly into the PDMS. We connected tubing from the stimulus reservoirs to the arena and flushed the device with S-basal buffer. Next, we attached the loading tubing containing ~25 animals and gently injected them via syringe into the arena in ~1 min (Supplementary Video 2). Continuous buffer flow washed the loaded worms, removing any residual bacteria. Experiments began 30 min after removal from bacterial food, once local search behaviors subsided19 (Supplementary Fig. 5) and typically after 15–20 mins of buffer flow in the device. Following each experiment, we flushed arenas with water and soaked them in ethanol for ≥24 h to remove any residual odor. Next, we rinsed devices in water, dried them in an air stream, and baked them at 55°C for 30 min. Following this cleaning procedure, buffer-buffer controls showed no response, and devices could be reused over 30 times.
Video acquisition and data analysis
We captured video at ~37 pixels mm−1 resolution and 2 frames per second with an Optronics MacroFire or PixelLink FireWire camera and a Zeiss microscope with 0.6x optics. We processed videos offline using custom MATLAB scripts to (1) segment each video frame, obtain morphological data for each animal, link centroids into worm tracks29; (2) classify the instantaneous behavioral state for each worm; and (3) analyze behavioral data with respect to temporal and/or spatial stimuli. Scripts are available online as Supplementary Software 1 (updates available at http://arenawormtracker.dyndns.org), and segmentation algorithms are described in greater detail in Supplementary Notes.
Supplementary Material
Acknowledgments
We thank S. Leibler for the use of his cleanroom facility, J. Larsch for control experiments and assistance with manual scoring of behavior, and members of the Bargmann laboratory for critical help, insight, and advice. This work was supported by the Howard Hughes Medical Institute and by the G. Harold and Leila Y. Mathers Foundation. C.I.B. is an Investigator of the Howard Hughes Medical Institute. D.R.A. holds a holds a Career Award at the Scientific Interface from the Burroughs Wellcome Fund.
Footnotes
AUTHOR CONTRIBUTIONS
D.R.A. designed and fabricated the devices; D.R.A. wrote the analysis code; D.R.A. and C.I.B. designed the experiments; D.R.A. performed the experiments; D.R.A. analyzed the data; D.R.A. and C.I.B. wrote the paper.
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