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* Department of Physics, and
Department of Chemistry, Clarkson University, Potsdam, New York 13699
Correspondence: Address reprint requests to Igor Sokolov, Dept. of Physics, Clarkson University, PO Box 5820, Potsdam, NY 13699-5820. Tel.: 315-268-2375; E-mail: sokolov{at}clarkson.edu.
| ABSTRACT |
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| INTRODUCTION |
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The principle of the QCM technology is based on detecting the frequency decrease of the piezoelectric crystal resulting from mass changes on the surface when biomolecules are attached (16
,17
). Recently it has been shown that GGRQ26C directly attached to the gold surface of the QCM can be used as an effective glucose sensor even though the target sugars are predicted to be too low in mass to be detected (15
). Applying the Voight model of a viscoelastic film to interpret the QCM data in the study indicated that the protein film should be considerably more viscous and/or possibly more rigid when glucose was bound. (18
). Direct rigidity measurements shown in this study corroborate that hypothesis.
The atomic force microscopy (AFM) technique (19
21
) is a natural choice to study mechanical properties of molecular films at the nanoscale. Several studies have been done on essentially atomically smooth surfaces (21
24
). In the case of rougher surfaces, i.e., the gold surface of the piezoelectric crystal of the QCM, the inhomogeneity of the films can be considerable. Furthermore, the surface geometry should be measured to derive the Young's modulus, a geometry-independent characteristic of rigidity. Consequently, a large amount of statistical data is required to make conclusions about the mechanical properties of the film. Although these data can potentially be collected automatically (force-volume mode (25
27
)), it still takes a considerable amount of time.
In this article, we suggest a simple and fast AFM method for detecting the rigidity change in protein film before and after addition of ligand. In this study we explicitly show that GGRQ26C protein film on a gold surface of the piezoelectric crystal indeed increases its rigidity when activated with glucose. To show consistency of this method with the more "traditional" direct measurements of rigidity (detecting not just the rigidity change), we explicitly measure the Young's modulus at a few points on the surface. The latter study shows both changes in rigidity and effective thickness of the surface layer that arises from ligand-induced conformational change of the protein.
This AFM method for detecting rigidity changes in proteins can be effective in the study and optimization of any sensors where the ligand-induced structural change occurs.
| MATERIALS AND METHODS |
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280) of 0.93 mL mg1 cm1 and an Mf of 33,370 (12
Each molecule of GGRQ26C has a cysteine residue at position 26, which can be attached to a gold surface by a sulfur-gold covalent bond, as illustrated in Fig. 1. The size of each protein molecule of is
3.5 x 6.5 nm.
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2 nm.
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500 µL) of 27 µM GGRQ26C protein in a buffer (100 mM KCl, 10 mM Tris pH 7.1, 0.5 mM CaCl2) was then introduced to the gold surface. This solution incubated for 1 h in a closed Petri dish to ensure the formation of the gold-sulfur bond immobilizing the protein to the surface. Water was added around the glass slide to prevent possible evaporation of the buffer solution and drying of the protein surface. The immobilized protein surface was then washed with the above described buffer to reduce any nonspecific binding of the protein to the already immobilized protein or the gold surface. Specifically, the droplet was removed by tilting the slide, and
2 mL of the buffer was added and then also removed by tilting.
The first AFM scanning experiments were performed in the buffer after this wash. The second AFM scans were done after adding glucose, as follows. Without disassembling the AFM liquid cell, 100 µL of 1 mM of glucose in the buffer was added to 2 mL buffer in the fluid cell, and left quiescent for 15 min before the start of scanning. Thus, the protein immobilized on the gold surface was exposed to
50 µM glucose solution for 15 min. The surface was then rescanned by AFM.
Atomic force microscope
Dimension 3100 Nanoscope IIIa with an extender box, by Digital Instruments/Veeco (Santa Barbara, CA), was used in this study. The imaging was done in liquid using a standard fluid holder. There were two types of the AFM cantilevers used for the imaging in tapping mode. The first tip, tip 1 (FESP AFM cantilevers with silicon tip; Digital Instruments/Veeco), was used for tapping-mode scanning in liquid. The radius of the probe was tested on a 3-D tip characterization gratings (TGT1 by Micromash, Englewood, CO). A typical AFM tip used had an apex radius of
10 nm. The driven oscillating amplitude was at 20 mV; the oscillating frequency in liquids was
30 KHz. The second cantilever tip, tip 2, was a regular V-shaped silicon nitride cantilever with an integrated pyramidal tip (Digital Instruments/Veeco). The driving amplitude was set at 3 V, with an oscillating frequency of 6 Khz. Both tips were cleaned before each series of measurements by an ultraviolet short-wave lamp for 2 min. The scan rate was set at 0.51 Hz to optimize the image quality. Each image was collected in resolutions of 512 x 512 pixels. It is worth noting that there is no need, to our knowledge, of a force constant using the method suggested here.
For the force-volume mode, a V-shaped silicon nitride cantilever with integrated pyramidal tip (similar to tip 2 above) was used. The radius of curvature of the tip was
20 nm, and was found by using the same method as above. The force constant was found to be 0.04 N/m by using the resonance shift method (built-in option of Nanoscope 5.12r4 software).
| RESULTS AND DISCUSSION |
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The time required to collect both required scans (512 x 512 pixels each) using our new method is
10 min. To collect comparable statistics in the traditional force-volume mode it would take >40 h (
40 min per 64-x-64-pixel scan). It should be noted, however, that the amount of calculation time can be greater using the suggested method, due to the lack of customized software.
Theory
Here we show that the increase of rigidity, the Young's modulus, of the surface layer can be estimated using a relatively simple experimental method, which requires just two regular AFM scans, without special calibrations or measuring the forces. In this method, we scanned the immobilized protein on the surface and then the same area with ligand (glucose) added to obtain two topographical images of the surface. The change of rigidity of the surface layer can be found by using various indentation models. It is intuitively clear that the conclusion about either increase or decrease of the Young's modulus is independent of a specific model. To demonstrate the method, we will use the classical Hertzian model (see, e.g., (29
)). The same conclusions about the rigidity can be obtained by using more sophisticated semiempirical multilayer models, reviewed in Kovalev et al. (22
). However, to show it here is beyond the scope of this work.
We model the AFM tip-sample contact by two deformed spheres (Fig. 4). The deformation distance d (penetration) of two such spheres of radii R and R', which have different modulae E and E', is shown in Fig. 4.
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![]() | (1) |
![]() | (2) |
and
'.
It is a good approximation to consider the AFM tip as considerably more rigid than the sample surface. Hereafter, we put
(let the AFM tip be the upper sphere). Furthermore, we will use
= 0.5, which is the case for incompressible materials. It should be noted that our conclusions do not depend on the latter assumption. These two assumptions reduce Eqs. 1 and 2 to
![]() | (3) |
If the protrusion is not spherical, but elliptical, there is a simple modification of the above formula (30
). In such a case, the radius factor 1/R + 1/R' is changed by an effective one, the geometrical average of the multiplication of two radius factors, Rmin and Rmax, for both major axes of the ellipsoid:
![]() | (3a) |
Let us now consider a case in which the AFM tip scans over two protrusions, of radii R1 and R2, which are covered by a layer that has rigidity E (Fig. 3). If scanning is done with the load force F, the AFM tip causes deformations d1 and d2 over the protrusions R1 and R2, (Reff1 and Reff2) respectively. Here, we consider R1,2 >> d1,2, which corresponds to our experiment. Therefore, we will not consider the change of radius of the protrusions due to the film deformation. The height difference
H (see Fig. 3) as measured in the AFM scan is given by
![]() | (4) |
If the material (film) rigidity changes, the height
H will have a different value. For example, as we demonstrate in this article, the protein film changes its rigidity if we add glucose. Scanning the same area with the AFM before and after adding glucose, we can measure the changes of height
Hno glucose and
Hwith glucose between the same two protrusions. Subtracting these two values, and using Eq. 4, produces
![]() | (5) |
One can see that the difference
is an indicator of the film rigidity change after adding glucose. Because R1 and R2 can be directly measured from the AFM scans, the difference
gives an unambiguous answer based on the sign of the rigidity change. For example, as one can see from Eq. 5, if Eno glucose < Ewith glucose, then the difference
is positive, provided Reff1 > Reff2.
It should be noted that applying the above derivation to a film on a rigid surface, we assumed the deformation of the film to be small, and, as a result, the influence of a more rigid surface is negligible. Indeed, a more exact model (22
) is needed if more quantitative results are required. However, using that more complex model here would not change the qualitative result.
There is one natural limitation to the usability of our new method, which occurs due to a possible change in long-range forces acting between the tip and surface. Because both scans should be collected while using the same force of interaction between the tip and surface, the load force is the same if and only if the tip-surface interaction is the same. If the addition of ligand alters the long-range force, it makes our method much more complicated. In our case, the use of buffer with 50 µM glucose as ligand in a buffer of 0.1 M ionic strength should not change possible long-range forces. In any case, the strongest component of the long-range forces, the electrostatic interaction, is shielded by the high ionic strength of the buffer (Debye length
1 nm).
Another method of estimating the rigidity might be to observe the changes in surface roughness. Roughness depends on the variation of the surface heights. Looking at Eq. 4, which calculates such variations, one can see, however, that any change of rigidity can lead to either a decrease or an increase in roughness depending on the surface geometry. To make even a qualitative statement, one would need to calculate deformation of the surface at each point, which is impractical.
Experiment
To study the change of rigidity with AFM, two scans were taken, as described above. A representative scan without glucose using tip 1 is shown in Fig. 5 a. To exclude a possible simple removal of the protein film during scanning, three scans were executed. The last scan was recorded and used for further analysis. Glucose was added and the same region was scanned (Fig. 5 b). Despite some thermal drift, all features in the images can be easily identified. Fig. 5, c and d, shows the same type of images obtained with tip 2 before and after adding glucose, respectively.
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of formula 5. Fig. 7 shows an example of cross section of two protrusions before and after adding glucose. Because we need to find the radii of the protrusions and their relative height, it is worth processing the image through the low-pass filter. Random noise can be removed in this way. This fairly simple procedure should be watched, however, so as not to possibly change the data (heights and radii). The radii of curvature were found using SPIP software (Imagemet, Copenhagen, Denmark). Then we need to find the effective radii (Eq. 3a). For example, for one protrusion we found Rmin = 144 ± 5 nm and Rmax = 232 ± 8 nm. Taking a tip radius of 20 nm, one gets Reff = 18.0 ± 0.1 nm. It should be noted that it is not an easy task to estimate the load force during the tapping scanning. Fortunately, it is not necessary to use the load force to find the rigidity change (see above). For our estimate, we use
This number comes from the fact that we were able to image liquid crystals (23
1 nN (21
and the numerical results for
![]() | (6) |
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20%), we were not able to detect the height change because it was too small, below the sensitivity of the instrument. Those data are not plotted in Fig. 8. One point should be made about the resolution and optimal scan size of the collected images. Because we need to access relatively small features, protrusions, it is worth having as much pixel resolution as possible. For the lateral size of the scan, it needs to be large enough to provide enough statistical data. We found that 1.52 µm is close to optimum with this type of surface feature.
Quantitative measurement of the Young's modulus with the force-volume mode
To validate our new method, we compared the above results with direct measurements of the Young's modulus by collecting the force curves in the force-volume mode. An integrated pyramidal tip was used in these measurements (similar to tip 2). Radius of curvature of the tip and the cantilever spring constant were measured as described in Materials and Methods. To analyze our data from the force-volume mode, we used the Hertzian model as described by Eqs. 1 and 2. Analysis of the force-volume data was done as follows. First, 20 to 30 force curves measured on the tops of the protrusions were averaged. Fig. 9 shows an example of three averaged force curves before and three after adding glucose. The procedure of finding the Young's modulus from this type of curve is described in detail elsewhere (27
). Each average force curve was processed to calculate the Young's modulus versus penetration d by using Eq. 1. The results of the analysis of six measurements before and six after adding glucose are presented in Fig. 10. One can see an unambiguous change of the Young's modulus after adding glucose.
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67 nm, after adding glucose, the film becomes
34 nm thick. This is shown chematically in Fig. 11.
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R1 = 140 nm, R2 = 50 nm, and taking the Young's moduli Eno glucose =
and Ewith glucose =
from Fig. 6, one can get
= 0.4 nm. The experimental data corresponding to those radii show
= 0.60.8 nm. This small discrepancy can be explained by using the Hertzian model, which is too simplified for quantitative analysis. Moreover, force F is not really known for the tapping mode. The use of a more sophisticated model for deformation of multilayered materials (22
= 0.40.6 nm for the same parameters as those used above. This shows consistency in both methods. To make the statement of consistency more convincing, let us note that there is some basic difference between these two methods. First, the rigidity change method is more statistically sound. The analysis in that method covers a considerably larger area, and a larger number of surface spherical protrusions. Second, in that method, the areas of study were the same before and after adding glucose, whereas they were different in the force-volume measurements. This will add more uncertainty to a direct comparison of the methods. In the force-volume method, the radii of gold spherical protrusions were found with less precision because of the limited spatial resolution (limited number of pixels). Furthermore, we did not have the ability to exclude some "noisy" areas in the force-volume mode (it was not possible to detect with the limited number of pixels), as was possible using the other method. Finally, the force-volume method requires attaining considerably higher AFM tip-surface forces to observe reliable tip-surface contact. This can result in the possible destruction of the multilayered film, which could be responsible for the decrease in the film rigidity shown in Fig. 8. Thus, some quantitative discrepancy between these two methods is expected.
The measured increase of rigidity makes sense from a biochemical point of view. When glucose binds to the receptor, a large conformational change takes place and the glucose is buried deep in the interior of the protein. The overall surface of the protein does not change significantly and one would not expect a major change in chemical composition of the GGR-glucose complex from the unbound GGR. The glucose binding is through a large network of hydrogen bonds that do not change the ionic character of the protein in solution. Within the cavity, when the protein is open, there are hydrogen bonds to the water solution that encompasses the protein. When glucose binds to the cleft, the OH groups on the sugar molecule replace the hydrogen bonds to water (28
). Several hydrogen bonds are formed between the two lobes of the protein as the hinge closes. This change in the protein upon glucose binding causes many secondary elements within the structure to change. These shifts are presumably responsible for the increase of rigidity and compactness of the protein, which have been measured here by AFM. The glucose is held within the interior by a network of hydrogen bonds that secures the two domains together, sequestering the ligand away from the solvent.
| CONCLUSION |
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The AFM data described supports the reason for the large increase in the QCM frequency when glucose is bound to the receptor film (15
) and can explain the biophysical mechanism of detection of glucose by piezoelectric biosensors. This is very important to the future development of such biosensors for small ligands. Since there are a host of receptors that undergo structural change when activated by ligand, AFM can play a key role in the development and/or optimization of biosensors based on rigidity changes in biomolecules.
| ACKNOWLEDGEMENTS |
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Submitted on February 3, 2005; accepted for publication October 4, 2005.
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