Micro and nanochambers equipped with a pneumatic valve
As shown in Fig. 1(B-F), the chamber and the fluid channel layer were first placed onto the glass slide with a thin layer of spin-coated PDMS, and then, the control channel layer was stacked. To investigate the working principle of the pneumatic valve for sealing the micro- and nanochambers, the syringe filled with phosphate buffer was connected to the inlet hole of the control channel via a silicone tube and the phosphate buffer was introduced into the control channel. This control channel has an inlet hole but no outlet hole and was drove by buffer solution to keep the appropriate pressure and the buffer-soaked PDMS chambers for long-term observation. Supporting movie S1 shows how 0.1 µM Fluorescein solution was enclosed in the 264-fL chambers (ϕ:9.1 µm ⋅ H:6.3 µm) and no fluorescein leakage was observed. Therefore, the following enzymology experiments were performed using the valve-equipped micro- and nanochambers.
As we described in the previous study23, adsorption of enzymes encapsulated in the chambers on the chamber surface is critical in measurements for hydrolysis rate measurements. The hydrophilicity of the original PDMS surface is relatively high and causes denaturation of protein molecules including enzymes through hydrophobic interactions25. Poly(2-methacryloyloxyethyl phosphorylcholine-random-n-butyl methacrylate) (MPC polymer) and poly(N-hydroxyethylacrylamide) (PHEA) shown in Fig. 2 were used as dynamic coating reagents to prevent non-specific adsorption of the enzymes and the substrates. MPC polymer was added to the chamber and fluid channel and incubated for 24 hours at room temperature. PHEA was added to the chamber and fluid channel and incubated for 1 hour at room temperature after washing with MilliQ water and 1 M HCl solution for 15 minutes each. Both of polymers were coated after assembly of the device. To confirm the surface coating, the chambers were filled with 1 µg/mL of FITC-BSA for 10 minutes, washed with phosphate buffer and then observed by fluorescence microscopy. As shown in Fig. 2(D, E), both of coatings sufficiently suppressed the non-specific adsorption of FITC-BSA but the MPC polymer increased the background fluorescence level despite the location. Therefore, MPC polymer was not used in the following enzymology experiments as we do not have a clear answer to explain the phenomenon.
Enzyme kinetic assays in bulk
The time course of the fluorescence intensity of Fluorescein produced by β-gal was measured by UV-VIS spectrophotometer under different substrate, FDG, concentrations as ensemble-averaged enzyme kinetics. The hydrolysis reaction by β-gal consists of two steps, FDG to FMG and FMG to Fluorescein, and the first hydrolysis rate is known to be significantly slower than the second hydrolysis rate. Therefore, the first hydrolysis rate is a rate-limiting step and corresponds to the observed hydrolysis rate. In this study, this apparent hydrolysis rate was assumed to be the hydrolysis rate, kcat. The Michaelis-Menten constant KM and the hydrolysis rate kcat were calculated according to previous methods23,26. The measurements, as shown in Figure S2, gave KM = 56.5 µM and kcat = 55.1 s–1, which is three times higher than our previous reports of 18.0 s–1. Quantitative analysis of an enzyme activity is a sensitive experiment, and often performed by the same enzyme from different batches is assayed at different times, so a large inter-laboratory variation of the absolute value was often observed. Even in a single run, a large coefficient of variation exceeding 100% has occasionally been observed27. Experimental imperfections, such as slight difference in temperature and buffer concentration, could be responsible for the variable data. However, our focus was on the effect of reducing the size of the reaction space on the enzyme activity and not on the absolute value of the activity, and the following chamber experiments were carried out with extensive care to suppress the variation.
Single enzyme kinetic assays in micro- and nanochambers with a pneumatic valve
Twelve different sizes of micro- and nanochambers, ranging from 270 aL(ϕ:800 nm⋅H:600 nm) to 624 fL(ϕ:10 µm⋅H:10 µm), were used for a single β-gal kinetic assay. The concentration of FDG and β-gal in the phosphate buffer and the incubation time were optimised according to the chamber sizes to capture the single β-gal molecule with enough FDG to maximise the hydrolysis rate. The typical three results of the single-enzyme assay using 624-fL, 61-fL, and 270-aL chambers are shown in the main figures and the rest are shown in the supplementary figures. To avoid photobleaching of the product, Fluorescein, a shutter for the excitation light was kept closed except for the fluorescence image acquisition time. Crosstalk of fluorescence light could be minimised by optimising the incubation time and the excitation laser power even in the smallest 270-aL nanochamber array as shown in Fig. 5.
Three typical assay results are shown in Figs. 3, 4, and 5 using 624-fL, 61-fL, and 270-aL chambers, respectively. (The other assay results are shown in Figure S3-11) From the fluorescence images taken 2 minutes after the start, the increases in fluorescence intensity were measured, and the histograms were obtained. As elucidated in the previous research14, the increase of fluorescence intensity can be quantified depending on the number of enclosed β-gal. The occupancy probability of the number of enclosed β-gal, X, can be assumed to follow the Poisson distribution expressed in the following equation;
$$\mathbf{X}={{\lambda }}^{{N}}\times {{e}}^{-{\lambda }}/{N}!$$
where λ is the expected number of enzymes trapped in the chamber and N! is the factorial of the probability mass function of X. When the occupancy distribution approached to the fitting line at λ = 1, the observed ratio of chambers at the given concentration of β-gal confirmed the trapping of β -gal in the microchambers at the single enzyme level.
The activity of a single β-gal was calculated from the increase in fluorescence intensity and the calibration curve for estimating the number of Fluorescein molecules in the microchambers. The hydrolysis rates, kcat, of a single β-gal in 624-fL, 61-fL, and 270-aL chambers were 45.9 ± 7.5 s–1, 13.0 ± 0.5 s–1, and 0.067 ± 0.0038 s–1, respectively. Considering the hydrolysis rates in the bulk experiment, kcat = 55.1 s–1, the largest chamber size of 624 fL gave the similar hydrolysis rates but the other chambers showed that smaller chambers decreased the β-gal activity as shown in Fig. 6. The overall tendency seems to be a symmetrical relationship to the specific surface area of the chambers, larger specific surface area decreased the hydrolysis rate. The possible reason could be non-specific adsorption of β-gal and FDG on the PDMS chamber surface and the accurate measurements were not achieved. Therefore, to prevent non-specific adsorption on the surface, PHEA was dynamically coated on the PDMS surface and a single β-gal activity assay was performed. As shown in Fig. 6, the hydrolysis rates were slightly increased in each chamber, but the overall downward trend was not changed. The second possible reason could be derived from the water structure within the nanometer-scale confinement. As pointed out by Perillo et al., water structure and dynamics could influence the conformation and the function (net hydrolysis rate) of β-gal in the nanoporous structures of a silicate matrix, which has a mean pore diameter of 33 ± 2 nm28,29. Compared to the reaction space in the nanopore, our chamber system has more than 100 times the volume and seems to have less or no influence on β-gal conformation by the water structure at the chamber surface. However, if 10 to 20 nm from the chamber surface could affect the water structure, the diffusional approach of β-gal to the vicinity of the chamber surface might change the hydrolysis rate. The residence time near the chamber surface will increase according to the chamber volume reduction, therefore the downward tendency of β-gal hydrolysis rate might be reasonable. Furthermore, Tsukahara et al. reported faster proton transfer in the 10–100 nm space from the quartz surface, suggesting a long-range influence on water structure than that is originally expected in nanoporous structures30. Therefore, we attempted to investigate how the PDMS surface affects the water structure inside the chambers, including proton association and dissociation at the plasma-treated PDMS surface.
To evaluate the “free” proton in the chambers, the spectrum changes of the pH indicator, Carboxy SNARF®-1, encapsulated in the chambers were observed. As shown in Fig. 7(A) and (B), the spectrum changes from pH = 6.38 to 8.11 were confirmed in the bulk, and then, the spectrum of PBS adjusted to pH = 7.54 was measured in the different sizes of microchambers. The pH values were calculated using the following equation;
$$\mathbf{p}\mathbf{H}={\mathbf{p}{K}}_{{a}}-\mathbf{log}\left[\frac{{R}-{{R}}_{{B}}}{{{R}}_{{A}}-{R}}\times \frac{{{F}}_{{B}\left({\lambda }2\right)}}{{{F}}_{{A}\left({\lambda }2\right)}}\right]$$
where R is the ratio \(\frac{{{F}}_{{\lambda }1}}{{{F}}_{{\lambda }2}}\) of fluorescence intensities measured at two wavelengths. λ1 (568 nm) and λ2 (616 nm), and the subscripts A and B represent the limits at the acidic and basic endpoints of the titration, respectively. Calibration was performed using a dual-emission ratio with λ1 = 568 nm and λ2 = 616 nm excited at 488 nm. As shown in Fig. 7(C), the result appeared to be very small pH changes in the two smallest chambers, but there was no significant pH difference between the two smaller and three larger chambers. The result could be understood as it is, but the spatial and spectral resolution of the confocal microscope may not be sufficient to resolve the difference in the microchambers. The spatial and spectral resolution of the confocal microscope was around 500 nm and 5nm, respectively, so the spectrum obtained from each pixel was not enough to recognise the pH distribution within the chambers. Further development of the observation system, such as super resolution microscopy, is expected to solve these problems and reveal the long-range interaction of proton molecules with the chamber surface. This uneven distribution of molecules in nanometre-scale space raised a new question about how biochemical molecules control the reaction kinetics in living cells. Several studies have attempted to unravel biomolecular functions such as gene expression and signal transduction across scales from molecular to cellular from the perspectives of biomolecular condensation and intracellular liquid-liquid phase separation31. Our micro- and nanochamber system will contribute to pursuit of biological mechanisms in the confined spaces as an alternative method to liquid droplet systems32 and mesoporous systems33.