1. Introduction
The Quartz Crystal Microbalance (QCM) is an acoustic wave device. QCM can detect the mass weight and mechanical properties of substances bound to the QCM-electrode as a negative shift of resonance frequency, which is proportional to the mass of the substance. An equation represents the relationship between the bound substance and its mass [
1], enabling us to measure various binding reactions of ligand-receptor interactions in the real-time, including gas, humidity, bacteria, and protein-protein interactions [
2,
3,
4,
5]. In liquid phase measurements, QCMs exhibit different frequency shifts in the presence of substances [
6,
7] because this device is sensitive to the viscoelastic properties of the tested samples and buffers. While these properties of samples and buffer conditions limit the use of QCM in liquid, some researchers have used QCM as an immune sensor and successfully measured cell adhesion by signals immobilized on the electrode surface [
4]. This study reported positive frequency shifts that deviated from Sauerbrey's behavior [
8]. This positive frequency shift is triggered independently from the dissociation of the substrate from the electrode and is mainly affected by the substance's adsorption kinetics and viscoelastic properties.
Actin has a molecular mass of 42 kDa and is one of the most abundant proteins in eukaryotic cells. It drives cell motility, including cell protrusion, migration, divisions, and more, mainly because it is located immediately beneath the plasma membrane of living cells. Actin generates force by polymerizing, forming a double-stranded filament (F-actin) with a 7 nm diameter [
9,
10,
11] that drives cell motility. This polymerization function can be visualized by conjugating fluorescent dyes at the level of individual filaments, in which one end (called the barbed end) polymerizes and depolymerizes much faster than the other end (called the pointed-end) when observed under total internal reflection fluorescence microscopy [
12]. The polymerization dynamics are regulated by over one hundred types of actin-associated factors to facilitate cell functions. Some of the regulatory factors are gelsolin, ADF/cofilin in eukaryotes, and fragmin in the slime mold Physarum polycephalum, severing F-actin by binding the side of the filament to accelerate the turnover of the actin cytoskeleton in living cells, inhibiting further polymerization by capping the barbed-end, and increasing the amount of F-actin for rapid response during cell motility [
13]. During cell motility, mechanical stress is relayed through the cytoplasm to the actin cytoskeleton. Applying physical stress is a powerful approach to studying cells' mechanical properties and responses. Atomic Force Microscopy (AFM) and optical trapping can be applied to detect spatiotemporal mechanical forces via probes that are directly attached to the cell membrane and proteins. However, these forces are applied to a minimal and confined area and might not be strong enough to monitor viscoelastic changes in the intracellular actin cytoskeleton and cytoplasm.
In this study, QCM was used to monitor the mechanical property of biopolymer. When we applied actin as a biopolymer, the frequency shifted negatively when monomeric actin (G-actin) was bound to the QCM electrode surface, but the shift became positive when F-actin bound. The magnitude of this positive frequency shift decreased as the average length of F-actin decreased, suggesting that F-actin is an excellent control for measuring bio-sample heterogeneity based on size. Interestingly, under our experimental conditions, positive- and negative-frequency transitions occurred when the average length of F-actin was between 36 and 55 nm (i.e., when the molar ratio of fragmin to actin was between 1:19 and 1:14), corresponding to the half-pitch of F-actin. These observations suggest that molecules in the cytoplasm might contribute to the propagation of external stimuli by their presence, in addition to their binding to specific partners.
2. Materials and Methods
2.1. Proteins
Actin was prepared from an acetone powder of rabbit skeletal muscle following one cycle of polymerization and depolymerization [
14]. It was stored on ice in buffer G (2 mM Tris, pH 8.0, 0.2 mM ATP, 0.1 mM CaCl
2, 0.5 mM dithiothreitol (DTT)). Actin concentration was determined by absorbance using an extinction coefficient of ε
290 = 0.0266 / μM / cm
2. The cation bound to G-actin was converted from Ca
2+ to Mg
2+ by adding buffer F (final 25 mM Tris-HCl (pH 8.0), 25 mM KCl, 1 mM EGTA, 4 mM MgCl
2) to polymerize a 500 μL volume of 1.6 μM actin. After 30 min incubation at 25°C, 9 μL of 100 μM TRITC-Phalloidin (P1951-1MG) dissolved in dimethyl sulfoxide (~1.1 times the actin concentration for a sufficient amount) was mixed with F-actin in buffer F and stored in the dark on ice.
P. polycephalum Fragmin was genetically engineered into the expression vector pGEX-6P-1 (GE Healthcare, Japan) [
15]. The recombinant fragmin was expressed in Escherichia coli BL21 (DE3) cells (Thermo Fisher Scientific Inc.) and was affinity-purified using a glutathione resin. After the N-terminal glutathione S-transferase (GST)-tag was removed by precision protease, fragmin was further purified on a gel filtration column (Sephacryl S200 16/60; GE Healthcare) equilibrated with A-buffer (2 mM Tris–HCl (pH 7.5), 0.5 mM EGTA, 1 mM DTT). The concentration was determined using an extinction coefficient of ε
280 = 0.0454 / μM / cm. Severed F-actin was prepared by mixing 1000 nM TRITC-Ph-F-actin with different concentrations of fragmin (final 0, 2.8, 36, 333, and 500 nM) in the A buffer containing 0.2 mM CaCl
2 for 5 min at 25°C.
Since actin takes both monomeric and filamentous forms through its polymerization function, non-polymerizable G-actin was prepared by conjugating a fluorescence dye on cysteine 374 of actin and prevented F-actin [
16]. Unpolymerized actin was prepared using 2 ml of 40 μM G-actin after removing DTT by dialysis against DTT-free G buffer for 24 h at 4°C. After polymerizing actin by adding final 100 mM KCl and 2 mM MgCl
2, 20 μL of 100 mM tetramethylrhodamine-5-maleimide (TMR) dissolved in N,N-dimethylformamide was quickly and vigorously mixed with F-actin. The mixture of F-actin and TMR was incubated in an end-to-end rotor for 18~24 h at 4°C. After centrifugation at 29,000 x g for 90 min at 12°C (CS 100GXL, Eppendorf Himac Technologies, Japan), the labeled F-actin was collected as a pellet and suspended in 1 mL of G-buffer. The suspended TMR-actin was further dialyzed against G-buffer for 24 h at 4°C in the dark, and free dye was removed with a disposable column (PD MidiTrap G-25, GE Healthcare Bio Sciences AB, Sweden). Extinction coefficients of ε290 = 0.0266 / μM / cm and ε
550 = 0.0969 / μM / cm were used. The typical labeling ratio was ~80% [
12]. Actin was incubated with final 100 mM KCl and 2 mM MgCl2 for 30 min at 23°C in the dark, followed by centrifugation at 29,000 x g for 90 min at 12°C. Finally, the supernatant was collected as the unpolymerized fraction [
16].
2.2. QCM Chip and Glass Preparation
The QCM chips were AT-cut crystal devices specially ordered and produced by RIVER ELETEC CORPORATION (fundamental frequency F0, 16 MHz), and some of them were coated with SiO2 prepared by sputtering.
In advance of coating glasses with 3-aminopropyltriethoxysilane (APTES), QCM chips were thoroughly cleaned with a basic Piranha solution (30% H2O2 and NH
4OH in 3:7 (v/v) mixture) for 20 min. The electrode was pretreated with 2-mercaptethanol to create -OH groups on the surface. No pretreatment was carried out for the SiO
2-covered electrode. For cleaning larger coverslip glasses (24 × 50 mm; Matsunami Glass Ind., Ltd. Osaka, Japan, Neo No. 1) on the opposite side of the electrode, acidic Piranha solution (30% H
2O
2 and concentrated H
2SO
4 in 3:7 (v/v) mixture) was added for 10 min. Both glasses were rinsed with deionized water [
17,
18]. Following all pretreatments, the surface of dried QCM chips was immersed in 2% of APTES in absolute EtOH, and the surface of the coverslip glass was covered with 2% hexamethyldisilazane for 8 h. After immersion, both types of QCM chips and glasses were rinsed with absolute EtOH, then placed in deionized water [
5]. Chips and glasses were thoroughly dried in a clean chamber for 1 h before use.
2.3. Flow Chamber Preparation
Flow chambers were prepared daily by mounting a QCM chip on the glass placed with two double-sided tapes of 0.1 mm thickness (ST415 25 × 30, 3M, Japan) in parallel, leaving a gap of ~5 mm. The size of the flow chamber was approximately 15 × 5 × 0.1 mm with both sides open (~10 μl volume). A copper tape was placed on both sides of the QCM device and pasted using conductive paste.
2.4. Measurement
The resonant frequency of QCM for SiO2-coated devices was performed using a crystal oscillator (SUNRISE INDUSTRIAL CO., LTD, QSRX-1504N 27-21-2) with a 12 V supply (KIKUSUI ELECTRONICS CORP, MODEL PAB 32-0.5) and a frequency counter (HP Japan, HEWLETT 53132A). For non-SiO2-coated devices, measurements were performed using a network analyzer (HP Japan, E5100A). The output was recorded on a PC every minute in both measurements.
2.5. Specimens
Before loading solutions in the flow chamber, the A-buffer was loaded directly into the chamber via a capillary action every 3 min until resonance frequency stabilized and the fluctuation range of the measured value was within 5 Hz. Excess buffer was absorbed from the opposite side using cut-off pieces of coffee filter paper for rapid absorption. Sample solution of either F- or unpolymerized G-actin was loaded every 3 or 6 min, respectively, on the chamber consisting of SiO2-coated QCM chips connected with the network analyzer.
2.6. Microscopic Observations and Image Analysis
TRITC-Ph-F-actin was visualized with a fluorescence light microscope (Olympus IX-73, Japan). A mercury lamp was used to excite the fluorophores, and a camera (HAMAMATSU, DIGITAL CAMERA C11440) connected to a computer was used to record images. A built-in filter cube (Olympus, U-MWIG) was used as a set of excitation and emission filters with a dichroic mirror.
2.7. Image Analysis
The average length of TRITC-Ph-F-actin in control was estimated from 20 F-actin filaments by using ImageJ (
https://imagej.nih.gov/ij/download.html). The average length of F-actin in the presence of fragmin was estimated by dividing the length of control F-actin by the added-fragmin concentration.
3. Results
3.1. QCM Frequency Shifts by G- and F-Actin
Frequency shift was investigated by immobilizing actin to APTES-coated QCM electrodes. To measure binding, ΔF=F−F
0 was plotted after each surface treatment. Figures 1A and 1B represent typical frequency shift profiles measured from either G- or F-actin binding. The shift in frequency decreased over time after loading various concentrations of G-actin (
Figure 1A). Plateaus of frequency shift was low after increasing the concentrations of loaded TMR-G-actin (
Figure 1C, circles), confirming that this assay detects a surface-bound protein in a concentration-dependent manner. The frequency shift increased after F-actin loading, when measuring the shift by F-actin. G-actin contamination was prevented by decollating F-actin with TRITC phalloidin (TRITC-Ph-F-actin or F-actin) [
19]. Phalloidin minimizes the amount of G-actin by stabilizing actin as F-actin due to its tight binding affinity. We confirmed that TRITC-Ph-F-actin was bound to the surface using a fluorescent microscope (
Figure 1C). While the frequency gradually decreased over time, the plateau of frequency shift was still positive. However, this result showed that the fractions of positive frequency shift increased in proportion to the concentration of F-actin (
Figure 1D), implying that the physical property, such as forms of the protein, dynamically changes the frequency shift from negative to positive.
3.2. The Frequency Shift and Length of Filaments
Fragmin was employed to investigate whether the positive frequency shift depends on sample heterogeneity based on size (
Figure 2A). Fragmin is a severing protein of F-actin and remains on the barbed end in the presence of Ca2+. Under a constant concentration of actin (1000 nM), the frequency shift was positive when fragmin concentration was low. However, it became negative under high fragmin concentrations (
Figure 2C). Light microscopy confirmed that fragmin shortened the length of F-actin (
Figure 2B). A high concentration of fragmin (
Figure 2D) bound to the surface was caused by only a ~100 Hz decrease in frequency shift, much smaller than the shift using severed F-actin. This result indicates that the frequency shift was not derived from the bound fragmin on the QCM electrode surface. Our data showed that the frequency shift was positive when the average length of F-actin was long, but it became negative when F-actin was short, suggesting that the length of TRITC-Ph-F-actin is a crucial factor in switching the frequency shift from negative to positive. We note that the length of TRITC-Ph-F-actin was estimated from the molar ratio of fragmin over actin by assuming that all fragmin binds to actin. At a 0.1 ratio, we assumed that fragmin binds to F-actin containing 10 actin molecules. F-actin is a double-stranded filament having a 36 nm half pitch, in where 13 actin molecules are included [
11]. The plot of the frequency shift over the estimated length of TRITC-Ph-F-actin showed that the switch in shift occurred when the filament was ~33 nm long, similar to a half pitch of F-actin.
4. Discussion
One of the biopolymers, filamentous actin demonstrated a positive frequency shift on the QCM electrode in our experiment, even though monomeric actin showed negative frequency shift. In this report, we carefully manipulated solution exchanges to minimize share stress using a classic light conventional microscopic technique often used during in vitro motility assays of actomyosin, and combined it with hand-made QCM measurement systems. The flow in our experiment was mild slow enough to maintain the length of F-actin at more than several tens of micrometers (see
Figure 1C), while in a conventional QCM measurement with non-manual solution exchange system, the flow may be too fast and disrupt the supramolecular structures of molecules functioning in living cells. The actin-binding protein, fragmin, was used to control the length of the filament. Fragmin is known to attach to the barbed end of a filament, thereby avoiding further elongation. Although F-actin can be observed under a fluorescence microscope, very short filaments, i.e., less than ca. 500 nm, cannot be measured due to the limitation of the spatial resolution. Thus, we calculated filament length based on a mixing ratio of fragmin/actin. As a result, filaments less than about 33 nm in length demonstrated a negative frequency shift, called Sauerbrey effect whereas longer filaments displayed a positive frequency shift, called anti- Sauerbrey effect. This length of a F-actin may be closely related to its double-helical structure, having a half-helical pitch size of 36 nm.
Why were the positive shifts proportional to the concentration, i.e. weight of the actin molecule? Although the persistent length of is long of ~16.7 μm [
20,
21], F-actin is not so easy to be bent in transversal directions [
22]. In contrast, F-actin can be twisted easily in a standard aqueous solution [
23,
24]. If we consider a semiflexible polymer that possesses the mechanical properties as described above and assume that it is fixed to the electrode's surface at particular locations via electrostatic attachment, it is likely that the next plausible attachment point for the double-stranded polymer on the QCM surface would be half a pitch distance from the initial point (
Figure 3). Repeat of this "unit of attachment" could bring a proportional increase in frequency shift. If the length of the polymer is less than half of a pitch, it may be possible to achieve a relatively strong binding to the electrode if the twisting the biopolymer, resulting in the typical negative frequency shift of QCM.
5. Conclusions
We demonstrated that a frequency shift of QCM by actin filaments changes from negative to positive occurred at about 33 nm, and that the magnitude of frequency shift was proportional to the weight or concentration of the molecules. Our results indicate that this simple QCM method could measure physical changes of biological supra-molecules, such as actin filaments, in vitro. Of significance, filamentous proteins, which often exist in a helical form, may present a positive frequency shift in a weight- or concentration-dependent manner. These findings suggest that the QCM sensor can serve not only as a "weight sensor" but also as a "function sensor" of biomolecules.
Author Contributions
The experiment was designed by NM, HH, and IF. NM, TN, HA, JO, TK, HH, and IF prepared samples and the experimental setup, collected experimental data, and conducted the analyses. NM, HH, and IF wrote the manuscript. All the authors approved the final version of the manuscript.
Funding
This study was supported by the Research Foundation of Opto-Science and Technology to IF, the Nagaoka University of Technology Strategic Research Grant 2021 to IF, and JSPS KAKENHI Grant Number JP20K06591.
Institutional Review Board Statement
The study was conducted in accordance with the Declaration of Helsinki. The Institutional Ethics Committee of Nagaoka Univ approved the animal study protocol (Tech. No. R2-6).
Acknowledgments
We thank Shuichi Takeda in Research Institute for Interdisciplinary Science (RIIS), Okayama University, Okayama for the kind gift of the fragmin. Furthermore, we thank Koichi Takimoto in Department of Materials Science and Bioengineering, Nagaoka University of Technology, Niigata and Mr. Junji Oshita for the helpful discussion about this experiment and all lab members for helpful discussion and technical assistance with protein purification.
Conflicts of Interest
The authors declare no conflict of interest.
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