Gustavo Barreiraa,
Ana S. D. Ferreiraab,
Pedro Vidinhaac,
Joaquim M. S. Cabrald,
José M. G. Martinhoe,
João Carlos Limaa,
Eurico J. Cabrita*a and
Susana Barreiros*a
aREQUIMTE/CQFB, Departamento de Química, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal. E-mail: ejc@fct.unl.pt; sfb@fct.unl.pt
bCentro de Química Estrutural, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
cInstituto de Química, Universidade de São Paulo, Av. Prof. Lineu Prestes, 748, CEP 05508-900, São Paulo, SP, Brasil
dDepartment of Bioengineering and IBB - Institute for Biotechnology and Bioengineering, Instituto Superior Técnico (IST), Av. Rovisco Pais, 1049-001, Lisboa, Portugal
eCentro de Química-Física Molecular, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
First published on 27th May 2014
Pulsed field gradient spin echo high resolution magic angle spinning nuclear magnetic resonance spectroscopy is a powerful technique to characterize confined biosystems. We used this approach to assess the diffusion of solvent and reaction species within sol–gel matrices differing in enzyme loading.
Possible restrictions on the diffusion of reacting species to and from the entrapped enzyme is an intuitive, common argument.4 It has been shown early on that the specific activity of a sol–gel entrapped lipase increased asymptotically as enzyme loading approached zero.14 The authors rationalized their finding on the basis of diffusional limitations of the substrate entry to or into the catalyst particles, mentioning also that aggregation of the enzyme might occur at high concentrations, resulting in a lower degree of dispersion in the sol–gel matrix.
Here we report on the assessment of diffusion in enzyme loaded sol–gel matrices using Pulsed Field Gradient Spin Echo (PFGSE) High Resolution Magic Angle Spinning (HR-MAS) Nuclear Magnetic Resonance (NMR) spectroscopy. HR-MAS NMR can be considered a hybrid between solid and solution state NMR, where the samples are spun at the magic angle.15,16 This allows for the study of heterogeneous samples and semi-solid materials.17–19 The application of PFGSE HR-MAS NMR to the study of sol–gel materials is largely an unexplored field. However, it allows the study of solvent/solute accessibility in sol–gel materials at experimental conditions relevant to sol–gel process optimization.20,21 To the best of our knowledge, this is the first time that this approach is used to characterize sol–gel matrices with an immobilized biocatalyst. We also used fluorescence anisotropy spectroscopy to look at the effect of enzyme loading on the packing of entrapped enzyme molecules.
000) were from Sigma-Aldrich, n-butyltrimetoxysilane (BTMS) from Polysciences Inc., vinyl butyrate from Fluka, n-hexane and tridecane from Merck, Hydranal Coulomat A and C Karl-Fischer reagents from Metrohm, Polygoprep silica particles were from Macherey-Nagel.
:
5 tetramethoxysilane (TMOS)/n-butyltrimetoxysilane (BTMS) sol–gel matrices. A typical procedure24 consisted in preparing separately an aqueous solution containing the enzyme (265 μL of cutinase solution, plus 58 μL of 1 M NaF solution, plus 116 μL of 4% w/v PVA solution – total of 24.36 mmol of water) and a mixture of precursors (76 μL of TMOS plus 487 μL of BTMS, yielding a 1
:
5 TMOS
:
BTMS molar ratio and a water/silane molar ratio = 8), adding the latter to the former under vigorous shaking on a vortex mixer until the mixture became homogeneous. It was then placed in an ice bath and kept there for 10 min while gelation took place, after which it was kept at 4 °C for 24 h, followed by air drying at 35 °C for 24 h. The resulting xerogel was grinded and washed with aqueous buffer, acetone, and finally n-hexane. This procedure leads to average immobilization yields of ca. 90%. Enzyme particle sizes averaged (120 ± 40) μm.
:
20. No products were detected in assays carried out without enzyme. The initial rates given (per mg of protein) are the average of at least two measurements.
![]() | (1) |
000 counts. The global time of acquisition for each component was rigorously equal. The time per channel was 19.5 ps and the number of channels used in the multichannel analyzer was 1024. The emission signal was first passed through a depolarizer, and then sent to a Jobin-Yvon HR320 monochromator with a grating of 100 lines per nm, and was recorded on a Hamamatsu 2809U-01 micro-channel plate photomultiplier as a detector. The instrument response function had an effective fwhm of 35 ps. The numerical aperture for fluorescence collection was 0.18 (lens with a diameter of 18 mm and a focal length of 50 mm); hence the half-angle θ was 10.4°, and paraxial conditions hold. The effect of a finite collection cone on the measured anisotropy was negligible.29 The anisotropy decay curves were constructed from the IVV (t), IVH(t) fluorescence decays obtained with vertical polarized excitation light and selecting the vertical (IVV(t)) or horizontal (IVH(t)) components of the fluorescence, where G = IHV(t)/IHH(t) is an experimental correction factor that considers the artifacts introduced by the detecting system on the polarized fluorescence light components:
![]() | (2) |
For our experimental setup, G = 1, because the polarized fluorescence light was depolarized before the entrance slit of the monochromator. The anisotropy fluorescence decays could be fitted by a sum of a one exponential decay plus a constant that considers the residual anisotropy:
| r(t) = β1 exp(−t/θ) + β∞ | (3) |
Assuming that cutinase is immobilized in the pores, the tryptophan fluorescence anisotropy results can be interpreted in the context of the wobbling-in-a-cone model which considers that tryptophan undergoes a restricted non-isotropic motion, wobbling around an axis within a cone characterized by a certain semi-angle and correlation time, θ:
| r(t) = r(0)x[(1 − S2)exp(−t/θ) + S2] | (4) |
S is a generalized order parameter reflecting the degree of orientational constraint imposed by the surroundings. If the motion is isotropic, S = 0, and if it is completely restricted, S = 1.30,31
We had seen that grinding TMOS/BTMS matrices with an average enzyme loading of 1.4% led to comparable initial reaction rates as for crushed supports,24 suggesting the absence of diffusional limitations. We now assessed diffusion in sol–gel matrices with both higher and lower enzyme loadings. Diffusion in heterogeneous samples can be determined by PFGSE NMR, as shown by Kärger et al.27,33 for the study of diffusion in meso and nanoporous materials.
This methodology has also been applied under HR-MAS conditions to heterogeneous samples, allowing an increase in resolution since the use of MAS sharpens the usually broad NMR signals. We used PFGSE HR-MAS NMR to first determine self-diffusion coefficients in the absence of the sol–gel matrix. N-hexane (Fig. 2a), as well as 2F1P and 2F1P-butyrate in n-hexane (see ESI†), showed a linear correlation in the plot of ln
I vs. q2(Δ − δ/3), as expected for a mono-exponential signal decay (eqn (1)). For n-hexane, the self-diffusion coefficient obtained by linear regression analysis was (4.33 ± 0.02) × 10−9 m2 s−1, in agreement with values in the literature34 ranging from 4.00 to 4.28 × 10−9 m2 s−1. The presence of 2F1P (100 mM), with diffusion coefficient (2.62 ± 0.02) × 10−9 m2 s−1, did not affect the self-diffusion coefficient of n-hexane. In the presence of 2F1P-butyrate (100 mM), with diffusion coefficient (2.34 ± 0.02) × 10−9 m2 s−1, we observed a slight decrease in the self-diffusion coefficient of n-hexane (3.89 ± 0.02) × 10−9 m2 s−1. The same effect was found for 2F1P. The observed impact on the diffusion of n-hexane and 2F1P indicates that the presence of 2F1P-butyrate brings about a slight increase in the viscosity of the solution.
PFGSE HR-MAS NMR was then used to determine the diffusion coefficient of n-hexane in the presence of the matrix. As shown in Fig. 2a, the deviation from linearity observed for the echo amplitude of n-hexane in the matrix is a clear indication of multi-exponential behavior. The simplest diffusion model to explain these results considers two diffusion domains, one inside the pores of the matrix and another outside, leading to a bi-exponential decay. In the case of slow exchange between the two domains (Δ × kexch < 0.1), a bi-exponential echo decay will be observed with each domain possessing its own diffusion coefficient Di, with the fraction of molecules in each domain expressed as pi:
![]() | (5) |
This model is dependent on several parameters, such as the distribution of populations of molecules in the two environments, the diffusion coefficients in each environment, and the exchange rate between the two sites. The shape of the plot observed in Fig. 2 is determined by all those parameters. However, on a qualitative basis, the plot obtained for n-hexane in the presence of the matrix can be rationalized by a model where the molecules undergo a slow exchange process between the two sites, as described by Johnson35 and Cabrita et al.36 These two sites correspond to a slow diffusion environment (Dslow) inside the pores and a fast diffusion path (Dfast) outside the matrix. The slopes of the linear regression in Fig. 2a represent approximately the two diffusion domains. Confirmation that the bi-exponential behavior of the echo amplitude is due to chemical exchange phenomena was obtained by performing different PGSE measurements with increasing diffusion times (Fig. 2b). Changes in the latter parameter are accompanied by changes in the behavior of the echo amplitude when the relation between the observation time (diffusion time) and the residence time in the diffusion domains is altered in each experiment. For longer diffusion times, there is a tendency for mono exponential behavior as the condition of fast exchange in the diffusion domain (Δ × kexch > 10) is approached.35,36
To ensure that Dfast and Dslow determined in the sol–gel matrix reflect the inter and intraparticular nature of the diffusion, we performed independent HRMAS diffusion experiments using Polygoprep silica particles with the same particle size (63–200 μm) but two different pore sizes (60 and 100 Å) (Fig. 3). The figure shows a bi-exponential behaviour of n-hexane diffusion, similar to that observed in the sol–gel matrices. It is clear that Dfast is almost not affected by pore size in the range of pore sizes studied. On the other hand, Dslow is substantially affected by pore size, its value increasing with increasing pore size, as might be expected.
To characterize the transport properties of the reaction species within the matrix, we performed experiments with individual solutions of 2F1P and 2F1P-butyrate in n-hexane. For both solutions, the echo amplitude of n-hexane shows a bi-exponential behaviour. However, differences were found for 2F1P and 2F1P-butyrate. While 2F1P shows a clear bi-exponential behaviour, the data for 2F1P-butyrate is well fitted by a mono-exponential (see ESI†). The differences in the behaviour of the attenuation of the echo amplitude are due to different exchange regimes between diffusion domains for the two species. For the diffusion times sampled, the bi-exponential behaviour of n-hexane and 2F1P denotes a slow exchange process between the inter and intraparticular domains of the matrix, allowing the determination of Dfast and Dslow, and respective populations (Table 1), while the mono-exponential attenuation of 2F1P-butyrate is due to a fast exchange regime. However, the low value obtained for the diffusion coefficient of 2F1P-butyrate in the presence of the matrix – (0.52 ± 0.01) × 10−9 m2 s−1 – when compared to the one obtained without support – (2.34 ± 0.02) × 10−9 m2 s−1 – indicates that 2F1P-butyrate must have a high population inside the matrix. The reason for the differences in the exchange regime of the two compounds must originate in the nature of their interactions with the support. Despite these differences, in the presence of the matrix, the effect of 2F1P or 2F1P-butyrate in the diffusion of n-hexane is similar to that observed in the absence of support, i.e. only 2F1P-butyrate has a significant effect on the diffusion coefficient of the solvent, which decreases (see ESI†). As for the effect of the two reaction species when they are in solution together in the presence of the matrix, peak overlap (see ESI†) precludes an accurate determination of the diffusion coefficients of 2F1P and 2F1P-butyrate.
| Diffusion coefficienta (× 10−9 m2 s−1) | ||||||
|---|---|---|---|---|---|---|
| Dfast | Dslow | pfast | pslow | |||
| a The errors represent the standard deviation of the exponential fitting performed to compute the diffusion. | ||||||
| n-hexane | Matrix | 2.73 ± 0.04 | 0.53 ± 0.02 | 0.80 ± 0.01 | 0.20 ± 0.01 | |
| Matrix, with 0.5% enzyme | 2.46 ± 0.03 | 0.51 ± 0.02 | 0.81 ± 0.01 | 0.19 ± 0.01 | ||
| Matrix with 1.0% enzyme | 3.22 ± 0.05 | 0.35 ± 0.02 | 0.82 ± 0.01 | 0.18 ± 0.01 | ||
| Matrix with 2.5% enzyme | 2.21 ± 0.04 | 0.64 ± 0.04 | 0.79 ± 0.02 | 0.21 ± 0.02 | ||
| n-hexane + 2F1P | n-hexane | Matrix | 2.86 ± 0.06 | 0.56 ± 0.03 | 0.76 ± 0.01 | 0.24 ± 0.01 |
| Matrix with 0.5% enzyme | 3.06 ± 0.04 | 0.89 ± 0.03 | 0.74 ± 0.01 | 0.26 ± 0.01 | ||
| Matrix with 1.0% enzyme | 2.53 ± 0.02 | 0.25 ± 0.01 | 0.80 ± 0.01 | 0.20 ± 0.01 | ||
| Matrix with 2.5% enzyme | 2.85 ± 0.06 | 0.70 ± 0.06 | 0.83 ± 0.02 | 0.17 ± 0.02 | ||
| 2F1P | Matrix | 2.48 ± 0.08 | 0.36 ± 0.01 | 0.52 ± 0.01 | 0.48 ± 0.01 | |
| Matrix with 0.5% enzyme | 1.76 ± 0.02 | 0.27 ± 0.01 | 0.58 ± 0.01 | 0.42 ± 0.01 | ||
| Matrix with 1.0% enzyme | 1.92 ± 0.09 | 0.32 ± 0.05 | 0.70 ± 0.03 | 0.30 ± 0.04 | ||
| Matrix with 2.5% enzyme | 1.7 ± 0.1 | 0.23 ± 0.01 | 0.68 ± 0.04 | 0.32 ± 0.04 | ||
Since 2F1P shows a slow exchange regime and is the relevant reaction species to analyse initial reaction rate data, it was chosen to determine the effect of the enzyme on transport properties within the matrix. The results obtained for the echo amplitude of n-hexane and 2F1P in the presence of the sol–gel matrix without enzyme or loaded with 1% of cutinase are shown in Fig. 4. The slopes corresponding to the slow and fast component of the curves were included for comparison. N-hexane and 2F1P show a bi-exponential behaviour whether the matrix has enzyme or not. Table 1 gives the values obtained for the self-diffusion coefficients and respective populations derived from the bi-exponential fitting, using the sol–gel matrices loaded with 0.5%, 1.0% and 2.5% of cutinase. The self-diffusion coefficients obtained for n-hexane and 2F1P, both for the fast and for the slow diffusion component, are very similar, independently of the conditions studied. The small differences found in the presence and in the absence of enzyme do not justify loss of enzyme specific activity due to diffusional restraints.
Table 1 includes the population for each diffusion domain derived from the data. While the distribution of n-hexane between diffusion domains remains more or less constant, for matrices with enzyme loadings of 1% and higher there is a decrease in the 2F1P population associated to the pores of the matrix. A possible explanation might be a change in the affinity of the matrix for 2F1P. Assuming that the total number of silanol groups is constant, and taking into account that one enzyme molecule has many residues that are able to establish interactions with silanol groups, in enzyme loaded matrices there would be less silanol groups free to interact with 2F1P inside the pores.
Fluorescence anisotropy spectroscopy is based on the fact that a fluorophore excited by polarized light also emits polarized light, whose intensity at a different direction from that of the incident light over a period of time will depend on the mobility of the fluorophore.30,31 Cutinase has only one tryptophan residue, diametrically opposite to the active site (Trp-69), whose fluorescence emission can be selectively measured by choosing an appropriate wavelength of excitation.37,38 A fast increase in the fluorescence emission intensity of the tryptophan residue along a plane perpendicular to that of the exciting light indicates that the region where the tryptophan residue is located is relatively free to tumble.39,40
To verify the impact of enzyme loading on the packing of cutinase inside the sol–gel matrices, as might be caused by enzyme aggregation, fluorescence anisotropy decays were measured at different enzyme loadings (Fig. 5). Table 2 summarizes the results obtained for the fitting of the tryptophan fluorescence anisotropy decays by eqn (3). The anisotropy at time zero is around 0.3, which is slightly higher than the typical value for tryptophan in solution and in proteins (∼0.25)39 but lower than the theoretical predicted value of 0.4 for collinear transition dipole moments for absorption and emission. The order parameter S2 is low in all cases, due to depolarization of the tryptophan fluorescence at a rate much faster than the rotational constant of the protein. Thus although the order parameter shows a slight increase with enzyme loading, anisotropy cannot be used to conclude unequivocally on the aggregation state of entrapped cutinase.
![]() | ||
| Fig. 5 Time resolved anisotropy decay curve, r(t), of the single tryptophan residue of cutinase entrapped in a sol–gel matrix with 3.63% enzyme loading, and the corresponding residual of the fitting by eqn (3). | ||
| Enzyme loading % | β1 | θ (ps) | β∞ | S2 |
|---|---|---|---|---|
| 3.63 | 0.30 | 2.9 | 0.022 | 0.068 |
| 1.60 | 0.34 | 4.8 | 0.009 | 0.029 |
| 0.06 | 0.32 | 5.5 | 0.006 | 0.020 |
Footnote |
| † Electronic supplementary information (ESI) available: Representative Proton NMR spectra and self-diffusion coefficients determined in solutions containing 2F1P-butyrate. See DOI: 10.1039/c4ra01620c |
| This journal is © The Royal Society of Chemistry 2014 |