Abstract
The repeating arrangement of tubulin dimers confers great mechanical strength to microtubules, which are used as scaffolds for intracellular macromolecular transport in cells and exploited in biohybrid devices. The crystalline order in a microtubule, with lattice constants short enough to allow energy transfer between amino acid chromophores, is similar to synthetic structures designed for light harvesting. After photoexcitation, can these amino acid chromophores transfer excitation energy along the microtubule like a natural or artificial light-harvesting system? Here, we use tryptophan autofluorescence lifetimes to probe energy hopping between aromatic residues in tubulin and microtubules. By studying how the quencher concentration alters tryptophan autofluorescence lifetimes, we demonstrate that electronic energy can diffuse over 6.6 nm in microtubules. We discover that while diffusion lengths are influenced by tubulin polymerization state (free tubulin versus tubulin in the microtubule lattice), they are not significantly altered by the average number of protofilaments (13 versus 14). We also demonstrate that the presence of the anesthetics etomidate and isoflurane reduce exciton diffusion. Energy transport as explained by conventional Förster theory (accommodating for interactions between tryptophan and tyrosine residues) does not sufficiently explain our observations. Our studies indicate that microtubules are, unexpectedly, effective light harvesters.
Short abstract
In a microtubule, electronic energy can migrate over distances that conventional Förster theory cannot sufficiently explain. Anesthetics etomidate and isoflurane decrease energy migration.
Introduction
Microtubules are cylindrical polymers of the protein α,β-tubulin that play a variety of structural roles in the cell. Microtubules facilitate chromosome segregation during mitosis, generate intracellular forces, form a “railroad network” for macromolecular transport, and provide mechanical support for organelle positioning.1,2 Tubulin is packed in an exquisitely systematic manner in a microtubule, ordered both vertically in columns called protofilaments and horizontally in helical rings (Figure 1A–C3). The emergence of a lattice (which, despite the nanometer-scale dimensions of constituent tubulin dimers, can stretch unbroken across several hundreds of micrometers4) and the hollow cross section of a microtubule confer structural rigidity, allowing robust execution of a variety of mechanical tasks.5 Beyond the cell, these properties have allowed the widespread use of microtubules scaffolds in transport-based nanodevices,6−10 wherein motor proteins transport macromolecular cargo across large distances up to the millimeter range by “walking” along the microtubule lattice.11
It is well-known that interaromatic residue energy transfer over small distances takes place in proteins.12−14 Compared to pigments that absorb light in the visible region of the spectrum, aromatic residues absorb and emit UV light and have low molar extinction coefficients and small photoluminescence quantum yields. Consequently, proteins are not optimal light-harvesting systems for long-range photoexcitation energy migration.15 The lattice-type structure of microtubules that incorporates periodic arrays of aromatic amino acids, however, is qualitatively similar to the structure of molecular aggregates16−19 and light-harvesting complexes like phycobilisomes,20,21 potentially enabling excitation energy transport over long distances.22 How long are these distances?
Here, we exploit tryptophan autofluorescence to show that the 2D photoexcitation diffusion length in microtubules (6.6 ± 0.1 nm) is substantially higher than that predicted by conventional Förster theory (1.11 nm for intertyrosine interactions and 1.54 nm including tyrosine-tryptophan interactions). The diffusion length for electronic energy migration in microtubules is thus close to the size of tubulin dimer, comparable to that reported in some photosynthetic complexes.23−26 Changing the number of protofilaments from 13 to 14 has a negligible effect on the 2D photoexcitation diffusion length. While a high background signal made it difficult to quantify signal from vinblastine-induced tubulin oligomers, our data also suggest that photoexcitation diffusion lengths decrease in tubulin oligomers (formed in the presence of vinblastine), indicating that photoexcitation may migrate more effectively along protofilaments, as opposed to rings. Notably, we find that the presence of the anesthetics etomidate and isoflurane lowered photoexcitation diffusion coefficients (and thus diffusion lengths) in microtubules. Considering the factors (enumerated above) that make tryptophan a far-from-optimal chromophore, our results demonstrate that electronic energy migration is surprisingly efficient in microtubules.
Results
Tryptophan Quenching Rates Can Distinguish between Free GTP-Tubulin and Microtubules
We introduced an externally conjugated tryptophan fluorescence quencher, 7-amino-4-methyl coumarin-3-acetic acid (AMCA, Figure 2A) to study intertryptophan hopping in microtubules (SI Appendix, Figure 3E). We found that tryptophan fluorescence lifetimes in microtubules shortened on increasing AMCA concentration (Figure 4A) and, consistent with fluorescence quenching through electronic energy transfer, also observed AMCA fluorescence emission on tryptophan photoexcitation in steady-state experiments (Figure 2E,F). To quantify energy transfer between tryptophan and AMCA, we used the Stern–Volmer equation for static quenching, () where τ is the tryptophan lifetime at AMCA concentration [Q], τ0 is the tryptophan lifetime in the absence of AMCA, and kQ is the rate constant for quenching by electronic energy transfer (Figure 5A). Our analysis for microtubules and free GTP-tubulin in solution revealed quenching constants of 23.8 ± 0.8 ns–1 and 7.5 ± 0.4 ps–1, respectively (Figure 4A, Table 1). AMCA itself contributed a negligible signal over the relevant wavelength range (Figure S6). The higher quenching rate in microtubules can be explained by sensitization of AMCA quenching sites remote from the photoexcited tubulin dimer, which can occur by multiple energy transfer steps (as energy migrates from tryptophan to other aromatic residues in its vicinity).
Table 1. KQ (Mean ± Standard Error of Fit) and Adjusted R2 Values for Fitting Different Tubulin Polymers with the Static Quenching Model As Shown in the Main Text.
tubulin polymerization state | KQ (ns–1) | Adj R2 |
---|---|---|
Free GTP-tubulin | 7.46 ± 0.4 | 0.96 |
13 protofilament microtubules (GTP-tubulin polymerized) | 23.84 ± 0.8 | 0.98 |
14 protofilament microtubules (GMPCPP-tubulin polymerized) | 21.59 ± 0.9 | 0.98 |
13 protofilament microtubules with 50 μM etomidate | 17.47 ± 0.5 | 0.99 |
13 protofilament microtubules with 50 μM isoflurane | 18.43 ± 1.2 | 0.91 |
To analyze our experimental results, we estimated photoexcitation diffusion lengths using Stern–Volmer analysis.27 The measured lifetimes τ and τ0 in the Stern–Volmer equation are related to the diffusion coefficient D as shown in eq 1:
1 |
Here, r is the sum of the tryptophan and AMCA radii (assumed here to be 1 nm). The diffusion coefficient can be used to calculate the photoexcitation diffusion length L over the time duration τ to which a photoexcitation migrates on a microtubule before being quenched by AMCA as shown in eq 2.
2 |
Our data yielded a 2D diffusion coefficient of 3.15 ± 0.1 × 10–5 cm2·s–1 and a corresponding diffusion length of 6.64 ± 0.1 nm for microtubules (Table 1, Figure 5B,C). Given that a single tubulin dimer occupies the same volume as a sphere of diameter 7.4 nm (from its dimensions of 4 nm × 6.5 nm × 8 nm), a diffusion length of 6.64 nm suggests that energy transfer between tryptophan residues across a single tubulin dimer can occur in a microtubule. Depending on the locations of the residue where the initial photoexcitation occurred, it could reasonably migrate to the adjacent tubulin dimer within the microtubule lattice.
We simulated (incoherent) energy migration in microtubules using a computational microtubule model composed of 31 stacked tubulin rings (SI Appendix, Figure 6A). Because of its spectral overlap with tryptophan,12 tyrosine could serve as an activated intermediate. While the spectral overlap for tryptophan to tyrosine (uphill) energy transfer is small and tryptophan has a higher transition dipole moment (μTYR = 1.18 D, μTRP = 2.07 D; SI Appendix), the large number of tyrosine residues compared to tryptophan (34 tyrosine residues versus 8 tryptophan residues in the tubulin structure 1JFF28) raises the possibility of significant energy transfer between them. Thus, we accounted for both tyrosine and tryptophan chromophores in the simulations.
We calculated the coupling strengths for homo (between same residues) and hetero (between tyrosine and tryptophan) energy transfer using the ideal dipole approximation:29
3 |
Here, μi and μj denote the transition dipole moments of the ith and jth residues, κ is the orientation factor, r is the separation distance, ϵ0 is the permittivity of free space, and n is the refractive index of the medium surrounding the microtubule (assumed to be n = 1.4). The heteromolecular coupling between tyrosine and tryptophan residues shows the highest contribution to the VCoul, followed by tyrosine-tyrosine coupling strengths. Tryptophan-tryptophan coupling strengths are the lowest, as a result of longer intermolecular distances between them (Figure 6B,C).
We calculated the diffusion lengths on the microtubule model using a kinetic Monte Carlo algorithm (SI Appendix, Figure S14). The FRET rate (kFRET) between residues i and j was calculated using eq 4:30
4 |
Absorbance and emission spectra accommodating the tryptophan peak wavelength to our experimental observations were used to calculate the spectral overlap (JSO)31 by
5 |
Here, f(ϵ) and a(ϵ) are the emission and absorption spectra of the donor and acceptor residues, respectively, which are area normalized on an energy scale (SI Appendix, Table S11).
We simulated 3000 trajectories, first considering only intertyrosine interactions and then considering tyrosine-tryptophan interactions. In both simulations, the obtained diffusion lengths (1.11 and 1.54 nm, respectively) are appreciably lower than the diffusion lengths obtained experimentally. A possible explanation could be that some of the interchromophore separations are too close for the dipole approximation to be accurate. It is even possible that short-range contributions to the electronic coupling arising from intermolecular orbital overlap may be significant, as has been found to be the case in other tightly packed aggregates.32−34 To obtain a rough estimate of the extent of short-range effects, we calculated the hole (th) and electron (te) transfer Integrals for five representative TYR dimers present in close proximity (interaromatic distance (RIA) < 6.3 Å) (Table S12, Figure S15, Supporting Information).35 We observed charge transfer integral magnitudes ranging up to 419 cm–1, which suggests that the intermolecular orbital overlap mediated interactions could increase the electronic coupling and therefore the predicted exciton diffusion length.
Electronic Energy Migration Is Dampened by Anesthetics Etomidate and Isoflurane
While microtubules have been hypothesized to support long-range dipole-switching of aromatic residues for information processing roles in neurons,36,37 experimental support has not yet been provided. Anesthetics have been modeled to bind to tubulin in the microtubule interfering with such long-range interactions, and thereby inhibiting dipole-based information processing.38−40 An experimental evaluation of anesthetic action on long-range dipole switching in microtubules has also not yet been performed.
To investigate the influence of anesthetics on tryptophan fluorescence quenching, we introduced the anesthetics etomidate and isoflurane41,42 into our assay and measured their effect on tryptophan fluorescence lifetimes. Introducing 50 μM etomidate and isoflurane significantly lowered tryptophan quenching by AMCA in GTP-polymerized microtubules (Figure 4C; Figure S16). The presence of etomidate and isoflurane decreased the 2D diffusion lengths from 6.6 ± 0.1 nm to 5.6 ± 0.1 nm and 5.8 ± 0.2 nm, respectively (Figure 5C). To further investigate the possible binding between etomidate and isoflurane to tubulin in the MT lattice, we built and refined computational models of human tubulin dimers and performed docking simulations (SI Appendix, Figure S11).
Our results showed that both macromolecules exhibited affinities to 16 distinct binding sites (including the vinca, taxol, and colchicine sites), but with low predicted binding energies, which indicates weak to moderate interactions with tubulin, with no distinct preference for any of these sites. Taken together, these findings suggest that etomidate and isoflurane “dampen” energy transfer between tryptophan and AMCA due to changes in the dielectric screening of electronic couplings.
Notably, these anesthetics did not contribute to overall solution fluorescence nor the fluorescence spectra of free GTP-tubulin or AMCA (Figure S6), demonstrating that they did not chemically interfere with either tryptophan or AMCA lifetime.
Long-Range Electronic Energy Migration Also Occurs in 14 Protofilament Microtubules
Tubulin polymerization in the presence of GMPCPP, a slowly hydrolyzable analog of GTP,43 results in the formation of a predominantly 14 protofilament microtubule with different distances between aromatic residues within each tubulin dimer, as well as between neighboring dimers44 compared to 13 protofilament microtubules (Figure 3B; Table S1, Table S2). We asked if energy migration would be significantly altered in 14 protofilament microtubules as a consequence. Our results showed that while unlabeled tryptophan fluorescence lifetimes in GMPCPP-microtubules were significantly lower than those in GTP-microtubules (p-values < 0.005; Figure S10B), the lifetime trend in the presence of AMCA in GMPCPP-microtubules resembled that of GTP-microtubules (p-values > 0.005; Figure 4B). Stern–Volmer analysis revealed different tryptophan quenching rates in GMPCPP-microtubules, which we ascribe to differences in tryptophan fluorescence lifetime in the absence of AMCA. Consequently, long-range electronic energy transfer was observed in GMPCPP-microtubules (diffusion lengths of 6.1 ± 0.1 nm; Figure 5B,C), consistent with multiple step hopping.
Discussion and Conclusion
While the mechanical properties of microtubules and their interaction with molecular machines have been used as key components in transport-based nanodevices,6 their autofluorescence has not yet been exploited. In this work, we find that microtubules are more effective light-harvesters than anticipated for a protein devoid of bound chromophores.
We showed that tryptophan autofluorescence can distinguish between polymerized and unpolymerized tubulin. Stern–Volmer analysis revealed that the 2D diffusion length of tryptophan photoexcitation in microtubules is comparable to that observed in some photosynthetic complexes23−25 and organic photovoltaic devices.45−47 Our observations suggest that photoexcitation diffusion takes place in a manner that is dependent on the tubulin polymorph type (tubulin dimers versus oligomers versus microtubules). Polymerizing into microtubules enhances diffusion lengths from 4 ± 0.1 nm in free GTP tubulin to 6.64 ± 0.1 nm in microtubules. Subsequently adding tubulin-binding agents (such as anesthetics) decreases the observed diffusion length. The finding of long-range electronic energy transfer shows the versatility of tubulin-based polymers. Of course, it is unlikely that biological systems utilize the light-harvesting properties of tubulin, but it is fascinating that this protein macrostructure exhibits such photoexcitation diffusion lengths.
Photoexcitation diffusion in molecular systems is widely studied by a variety of techniques, often relying on exciton–exciton annihilation.17,20,21,25,27,48−52 Like many other fluorophores, tryptophan has a multiexponential fluorescence lifetime decay.53−55 Multiexponential fluorescence decays are also observed when electronic energy transfer takes place in a population of fluorophores in proteins (where a fraction of molecules may not undergo electronic energy transfer and may be present in different environments).56−58 Here, we take these possibilities together, analyzing the average weighted tryptophan fluorescence lifetime. Therefore, the diffusion length calculated using the method employed in this work is not definite but should be a reliable order of magnitude estimate. The two-dimensional tryptophan photoexcitation diffusion length of 6.64 nm is surprisingly high in microtubules, given that they are optimized to play structural roles in the cell and that the equivalent value for chlorophyll a, which is optimized for electronic energy transfer, is only 20–80 nm.23−25,59 Because tryptophan absorbs light poorly (molar extinction coefficient of ∼5600 M–1 cm–160) compared to chlorophyll a (molar extinction coefficient of ∼110,000 M–1 cm–161) photoexcitation diffusion on a lengths scale of several nanometers was not expected.
We also attempted to understand the preferred path of photoexcitation migration. It is likely that photoexcitation energy migration takes place preferentially along a protofilament or along the tubulin ring along a helical path (Figure S13). To determine if long-range photoexcitation migration could take place in the absence of lateral contacts between tubulin dimers, we polymerized GTP-tubulin in the presence of 100 μM vinblastine, which binds at the axial interface between two tubulin dimers, forming tubulin oligomers (Figure 3C).62 Vinblastine produced a signal in our fluorescence lifetime measurement (Figure S3B), making it difficult to quantify the tryptophan fluorescence because of overlapping fluorescence. Thus, after estimating the time-resolved fluorescence decay of tubulin oligomers, we subtracted the short lifetime component (Figures S8 and S9), using only two lifetimes to determine the diffusion parameters of tryptophan (Figure S7, Figure 5A). Nevertheless, the diffusion length obtained from such analysis (4.6 ± 0.1 nm) indicates long-range electronic energy transport in oligomers. While these diffusion lengths are lower than those observed in microtubules, we speculate that longitudinal contacts between tubulin dimers, resembling those in a protofilament, are sufficient to induce long-range energy transport in tubulin polymers. The diffusion lengths observed in GMPCPP microtubules also support the notion that a repeating arrangement of tubulin dimers is sufficient to allow long-range photoexcitation energy transfer.
It is also worth noting that introducing a convulsant (50 μM picrotoxin) also decreased tryptophan quenching by AMCA. These additional experiments that we do not report here suggest that anesthetics are not the only macromolecules that decrease photoexcitation diffusion in microtubules. Thus, we anticipate that in addition to anesthetics, microtubule associated proteins (MAPs), microtubule associated drugs (MADs), and other tubulin interacting agents form a “cytoexcitonic” framework for altering electronic energy migration in microtubule-based devices. Biochemically tuned electronic energy migration would allow microtubule architectures to be used as targets for photobiomodulation9,63 and to transduce photonic energy in biohybrid devices.64
A key finding of our study is that photoexcitation diffusion cannot be explained via conventional Förster theory, which accounts for only dipole–dipole interactions between tryptophan and tyrosine residues. A satisfactory explanation of our observations may include solvent screening by the protein matrix,56 electronic coupling beyond the point dipole approximation in Förster theory,65,66 and accommodation for molecular exciton states in tubulin.26 The tuning of photoexcitation diffusion length through biochemical parameters of microtubules (tubulin polymerization, introduction of anesthetics) was a further intriguing observation. Our work shows that protein polymers may be suitable for active materials in biologically sourced electronic devices where UV photoexcitation is desired.
Methods
Tubulin Polymerization
Tubulin was polymerized and stabilized as described in previous literature.10,67 Briefly, porcine brain tubulin stock was prepared by reconstituting lyophilized tubulin powder (T240; Cytoskeleton Inc., Denver, CO, USA) in BRB80 buffer supplemented with 10% glycerol at 1 mM GTP. AMCA labeled tubulin solution was prepared by reconstituting lyophilized AMCA labeled tubulin powder (TL440m; Cytoskeleton Inc., Denver, CO, USA) in BRB80 supplemented with 10% glycerol and 1 mM GTP, to a final concentration of 45 μM tubulin. Labeling efficiency was 1–2 AMCA molecules per tubulin dimer, attached at random surface lysines. Different volumes of labeled tubulin solution were added to tubulin solution to prepare solutions containing different AMCA labeling ratios. These solutions were incubated for 45 min at 37 °C to polymerize microtubules and subsequently stabilized using 100 μM paclitaxel (BRB80T) to ensure no microtubule depolymerization. Isoflurane and etomidate were added after microtubule polymerization and stabilization using paclitaxel had been performed. All microtubule containing solutions contained excess paclitaxel (a potent microtubule stabilizing agent;68 100 μM paclitaxel used to stabilize 2.2 μM tubulin). The binding of paclitaxel counters the conformational effect of GTP-hydrolysis on microtubules, stabilizing microtubules against depolymerization.69,70 Consequently, conformational changes in the tubulin structure within the microtubule lattice in the presence of paclitaxel are not expected. Free GTP-tubulin stock was incubated with 100 μM vinblastine (BRB80V) for 45 min at 37 °C to stabilize GTP-tubulin oligomers. Measurements on free tubulin in solution were performed in the presence of 10 mM CaCl2 (BRB80Ca) to ensure that free tubulin remained in solution. Stock solutions of isoflurane, etomidate, and vinblastine were prepared in DMSO.
Steady-State Measurements
The sample absorbance was measured as a function of light frequency using a UV–vis spectrometer complemented with an integrating sphere (Cary 6000i, Agilent Technologies, Santa Clara, CA, USA). The absorption spectra were recorded using a background consisting of BRB80T (BRB80 supplemented with 1 mM GTP or GMPCPP and 100 μM paclitaxel), for microtubules, and BRB80Ca (BRB80 supplemented with 1 mM GTP or GMPCPP and 1 mM CaCl2) for free GTP-tubulin solutions. Steady-state fluorescence spectroscopy was performed using a Photon Technology International (PTI) QuantaMaster 40-F NA spectrofluorometer. All steady-state measurements were performed at room temperature.
Time-Correlated Single Photon Counting (TCPSC)
The time-resolved fluorescence of each sample was measured using a DeltaFlex TCSPC instrument Horiba (Kyoto, Kyoto, Japan). The input light was provided using a 305 nm LED light source (DD300; Horiba, Kyoto, Kyoto, Japan). The usage of 305 nm light ensured that tyrosine and phenylalanine were not photoexcited. A long pass dielectric filter with a transition wavelength of 325 nm was placed after the solution and before the detector to reduce scatter signal. The fluorescence emission was detected at 335 nm. These excitation and detection wavelengths were selected to ensure that tyrosine and phenylalanine were not photoexcited. The time-resolved spectra were corrected for instrument response function (IRF) using an aqueous Ludox colloidal silica solution (Figure S3a). The measurement range was set from 0 to 100 ns, with the recording set to stop measurements when a maximum of 10,000 counts was attained. Obtained time-resolved fluorescence decays were fit to eq S1:
S1 |
The fit parameters T1 and T2 represented tryptophan lifetimes in the protein, while T3 represented the fit parameter for residual scattering from different tubulin polymers, and A1, A2, and A3 represented the relative contributions of each lifetime (amplitude). Average weighted values were estimated by finding the weighted lifetime of tryptophan fluorescence lifetime (the parameters T1, T2, and T3 were weighted using amplitudes A1, A2, and A3) and then determining the average of this value over n = 3 to 5 experiments.
Negative Stain Electron Microscopy
2 μM tubulin was polymerized as described as above, then either used at 2 μM or diluted immediately prior to grid preparation to 400 nM. Dilution was performed in the appropriate polymerization buffer at room temperature. A 3 μL tubulin mixture was added to glow-discharged CF400-Cu grids (Electron Microscopy Sciences, Hatfield, PA, USA) and stained with 0.75% uranyl formate. Samples were imaged using a Thermo Scientific Talos L120C transmission electron microscope operating at 200 keV. The nominal magnification was 72,000, and defocus values ranged from −0.5 to −2.0 μm. Micrographs were recorded on a Thermo Scientific Ceta-M 4k × 4k-pixel CMOS camera using the TIA data collection software (Thermo Scientific, Waltham, MA, USA), at a calibrated pixel size of 2.02 Å. All TCSPC experiments were performed at room temperature.
Acknowledgments
This work was supported by the Templeton World Charity Forum (Project ID: TWCF0530). T.J.A.C. acknowledges funding from the U.S. Army Research Office, Department of Defense, under contract no. W911NF-19-1-0373-(74884-PH) and from the Nova Southeastern University President’s Faculty Research Development grant (PFRDG334807). The authors thank Dr. Kyu Hyung Park, Dr. Junwoo Kim (Chungbuk National University, Korea), and Prof. Aristide Dogariu (University of Central Florida, FL, USA) for useful comments during the preparation of this manuscript. The authors thank Dr. Gary Laevsky at the Princeton Confocal Microscopy Facility for assisting with fluorescence microscopy. The authors acknowledge the Princeton Imaging and Analysis Center (IAC), which is partially supported by the Princeton Center for Complex Materials (PCCM), a National Science Foundation (NSF) Materials Research Science and Engineering Center (MRSEC; DMR-2011750). A.P.K. dedicates this work to his father, Prof. Prem Kumar Kalra.
Data Availability Statement
The authors declare that the data supporting the findings of this study are available within the paper and its Supporting Information files, as well as from the corresponding author upon reasonable request.
Supporting Information Available
The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acscentsci.2c01114.
Tubulin polymerization, steady-state optical absorption spectroscopy, steady-state fluorescence spectroscopy, time correlated single photon counting (tcpsc), negative stain electron microscopy, ret characteristic length determination, docking of etomidate, isoflurane, and picrotoxin to human tubulin, homology modeling, structure equilibration, site identification and docking, supplementary figures (PDF)
Author Contributions
A.P.K., A.B., D.G.O., T.J.A.C., S.R.H., M.B.M., J.A.T., S.P., R.P., and G.D.S. designed the research, A.P.K., A.B., S.M.T., E.A.Z., and A.M.S. performed the research, M.B.M., J.A.T., S.P., and G.D.S. provided new reagents/analytic tools, A.P.K. and A.B. analyzed the data, and A.P.K., A.B., and G.D.S. wrote the paper.
The authors declare no competing financial interest.
Supplementary Material
References
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Data Availability Statement
The authors declare that the data supporting the findings of this study are available within the paper and its Supporting Information files, as well as from the corresponding author upon reasonable request.