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Journal of Bacteriology, June 2008, p. 4225-4232, Vol. 190, No. 12
0021-9193/08/$08.00+0 doi:10.1128/JB.00132-08
Copyright © 2008, American Society for Microbiology. All Rights Reserved.

Department of Physics,1 Department of Molecular and Cellular Biology,2 Advanced Foods and Materials Network, Networks of Centres of Excellence (AFMnet), University of Guelph, Guelph, Ontario, Canada N1G 2W13
Received 24 January 2008/ Accepted 4 April 2008
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, for the creep deformation. Adding glutaraldehyde, an agent that increases the covalent bonding of the cell surface, produced a significant increase in k1 together with a significant decrease in
. This work represents a new attempt toward the understanding of the nanomechanical properties of single bacteria while they are under fluid conditions, which could be of practical value for elucidating, for instance, the biomechanical effects of drugs (such as antibiotics) on pathogens. |
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For many years, estimates of cell wall mechanical properties have been largely qualitative (2, 19, 22). Many of the techniques initially used required the analysis of large numbers of cells, so that the resulting data were the average of the results for millions or even billions of bacteria. There was little regard given to the individualism of single bacteria, and often the data were obtained by using atypical mutants (sometimes) under unnaturally dry conditions. An example is the work presented by Thwaites and Mendelson (27). They developed a means to produce bacterial threads composed of multiple chains of Bacillus subtilis cells, which is a so-called macrofiber made from cultures of a cell separation-suppressed mutant that can be investigated by standard fiber-testing techniques. Bacterial threads were shown to be viscoelastic; i.e., they exhibited mechanical properties characteristic of both elastic solids and viscous fluids. The properties measured in these experiments were extrapolated to those of the cell wall and excluded the properties of the protoplasts. Because this method tested a gram-positive rod and is restricted to filament-forming mutant strains, it is not widely applicable.
Recently, atomic force microscopy (AFM) has emerged as a valuable tool that can be used not only to image the surface topography of a sample under physiological conditions but also to locally measure the mechanical properties of the material itself (15, 28, 34). To this end, force-indentation curves are commonly measured; these represent the relationship between the loading force and the depth of the indentation as the tip at the end of the AFM cantilever pushes onto the sample surface. Quantitative information on sample elasticity (e.g., Young's modulus) is obtained from the force required to achieve a certain depth penetration. AFM indentation has been used to study the elastic properties of the dried proteinaceous sheath of the archaeon Methanospirillum hungatei (33), the peptidoglycan layer of Escherichia coli and Pseudomonas aeruginosa (32), and the properties of the latter inside living cells under fully hydrated conditions (31). The results of these measurements revealed that both intact bacterial cells and their isolated cell surface layers are extensible, flexible, and elastic. However, the fluidity associated with lipid membranes, the polymeric nature of the peptidoglycan network, and the dynamic nature of the cell envelope suggest that bacterial cell walls also have a viscous response. Although their elastic nature has been extensively probed, their viscous properties have not yet been evaluated at the level of a single cell.
A viscoelastic material can have both an elastic and a viscous response to an applied stress (9, 10). Viscoelastic materials can respond to an applied stress in a variety of ways: there can be an instantaneous, elastic deformation, a delayed elastic deformation, and viscous flow (9, 10). The particular response obtained for a given material is determined by the nature of the experiment as well as the molecular motions or rearrangements that are possible for that material. In the present study, we have used a novel, AFM-based approach to probe the local viscoelastic properties of a single bacterial cell. Specifically, we applied a constant compressive force to the cell underwater while measuring the time-dependent displacement (creep) of the AFM tip. This is a nanoscale version of a conventional creep experiment which is used to study the slow time dependence of the mechanical properties of a wide variety of materials ranging from steel to polymers to biological materials (9, 30). For the present experiments, we chose a representative gram-negative bacterium, Pseudomonas aeruginosa PAO1, and we used AFM tips of two different sizes and geometries. In addition, we altered the bacterium's natural mechanical properties by exposing the cell to glutaraldehyde, which increases the covalent bonding of the cell surface. This work represents a new attempt to understand the biomechanics of single bacteria under fluid conditions. This technique and the results herein could be of practical value for elucidating the biomechanical effects of drugs (such as antibiotics) on pathogens (V. Vadillo-Rodriguez and J. R. Dutcher, unpublished data).
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Sample preparation and cell viability.
An important requirement for AFM investigations is that the sample must be immobilized on a surface. For this purpose, an aliquot of the bacterial suspension of
105 cells per ml was allowed to adhere through electrostatic interaction to a poly-L-lysine-coated glass substrate that was prepared as previously described (29). After 15 min, the bacterium-coated glass substrate was rinsed with deionized water to remove loosely attached bacteria and then transferred to the AFM for immediate measurement.
To check if the use of poly-L-lysine had a deleterious effect on the viability of the bacteria, growth medium was added to a bacterium-polylysine-coated glass slide and bacterial viability monitored by using a green fluorescent protein-tagged P. aeruginosa PAO1 strain that could easily be seen by using fluorescent microscopy. Over a 24-h period at room temperature, we observed the bacteria detaching, dividing, and occasionally reattaching to the surface.
AFM imaging and force data acquisition.
All AFM measurements were conducted at room temperature under MilliQ water (resistivity of 18.2 M
per cm) by using an Asylum MFP-3D (Asylum Research, Santa Barbara, CA). Unless otherwise stated, imaging of the cells, with a typical length of 2 µm and 1 µm in diameter, was performed in contact mode at low applied force (
1 nN) at a scan rate of 1 Hz using Si3N4 V-shaped cantilevers that have a pyramid-shaped tip with a typical radius of curvature of 20 nm (OTR4; Veeco). Force measurements were carried out by using two different types of AFM cantilevers: OTR4 cantilevers and Si3N4 V-shaped cantilevers with colloidal silicon oxide tips with a tip radius of curvature of 300 nm (Novascan Technologies, Inc.). Prior to use, the spring constant of each cantilever was determined by using the thermal fluctuation method (18). Typically, the cantilever spring constant was 0.07 ± 0.01 (mean ± standard deviation) N/m. To determine the elastic and viscous contributions to the mechanical properties, force-time curves were collected at the center of the top of individual cells. These curves show the time-dependent deformation of the cell surface in response to a constant applied force.
In the force-time AFM experiments, the AFM tip was lowered at a constant rate of 1.98 µm/s toward the cell surface until a preset value of the loading force F0 was reached. The loading force F0 was then held constant by controlling the cantilever deflection d, where F0 = kd and k is the cantilever spring constant, and the cantilever base displacement was measured by monitoring the vertical (Z) movement of the z-piezolectric transducer. Figure 1 shows a schematic of a typical AFM force-time curve measurement. For samples, such as bacterial cells, that are less stiff than the cantilever, the deflection of the cantilever during the approaching period (A to C in Fig. 1) can be assumed to result exclusively from the mechanical indentation of the cell. Because of this, the approach part of the force-time curves was used to generate force-indentation curves according to the method described in references 1 and 24. The data collected during the time of contact between the AFM tip and the bacterial cell (C to D in Fig. 1) represents the time-dependent deformation of the bacterial cell in the presence of a constant loading force, i.e., the cell creep response. Creep response curves were collected for contact times ranging from 1 to 10 s. In addition, to investigate the dependence of the cell mechanical response on the magnitude of the loading force, the loading force was varied between 2 and 10 nN. Three force-time curves were collected per cell for each value of the loading force and contact time. Four cells from two different cultures were studied. Thus, each set of the cell viscoelastic parameters reported in this study was calculated as the average of the values obtained from the analysis of 12 force-time curves for each experimental condition. As a control, a set of force-time curves were also recorded on clean glass substrates for each experimental condition investigated.
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FIG. 1. Schematic diagrams of typical AFM force-time curve measurements. The AFM tip is lowered at a constant rate of 1.98 µm/s toward the cell surface until a preset value of the loading force F0 is reached (A to C), at which point F0 is held constant and the cantilever base displacement (z) is measured as a function of time (C to D). The cantilever deflection during the time period B to C was assumed to result exclusively from the mechanical indentation of the cell. The period from C to D corresponds to the time over which the creep response was measured, i.e., t in the figure.
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2 is the viscosity characterizing the cell surface. The ratio
2/k2 is the so-called characteristic retardation time
corresponding to the time during which the sample deforms by 1 – e–1 (or 63.2%) of the total creep deformation.
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FIG. 2. Schematic diagram of the standard solid model used to obtain the best-fit viscoelastic parameters of the cell surface. The model consists of an elastic spring with stiffness k1, which describes the instantaneous elastic deformation, in series with a parallel combination of a spring with stiffness k2 and a dashpot with viscosity 2, which describes the delayed elastic deformation.
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FIG. 3. AFM deflection images for an untreated (a) and a glutaraldehyde-treated (b) P. aeruginosa PAO1 cell in water obtained by using V-shaped AFM cantilevers with pyramid-shaped tips. The scan size is 2 by 2 µm.
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FIG. 4. (a) AFM height image (2.5 by 2.5 µm) of a P. aeruginosa PAO1 cell obtained in contact mode by using a V-shaped AFM cantilever with a pyramid-shaped tip by increasing the loading force F0 in a step-wise fashion. The cross section corresponds to the black line shown in the AFM image along the length of the cell. (b) AFM deflection image of the same cell collected after the image shown in panel a, using a small F0 value of 1 nN.
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FIG. 5. Cell indentation estimated from the cross-section shown in Fig. 4a as a function of the force applied during AFM imaging.
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Analysis of force-indentation curves: cell surface elasticity. The approach portion of the force-time curves was used to generate plots of loading force versus indentation based on the assumption that the deflection of the cantilever during the approach of the AFM tip to the sample surface resulted exclusively from the mechanical indentation of the cells. An example of force-indentation curves for all the cases investigated is shown in Fig. 6 for F0 loading force values of 2, 4, 6, and 10 nN. We observe that the indentations measured for untreated cells under different loading force values agree quantitatively with those estimated from AFM images of cells under different loading force values (Fig. 5). Therefore, the assumption that the cantilever deflection results exclusively from the mechanical indentation of the cell is valid, such that other interactions between the tip and the sample surface, e.g., electrostatic forces, are not significant. The different curves in Fig. 6 have different slopes, corresponding to different stiffness values for the samples. Glass is very stiff compared with the spring constant of the AFM cantilever, and its approach curve (curve a in Fig. 6) shows no measurable indentation, corresponding to a vertical line. The glutaraldehyde-treated cells (Fig. 6, curve b) are stiffer than the untreated cells (curves c and d), as expected, with a linear increase in the indentation with the loading force. A linear response is also observed for the untreated cells measured by using colloidal AFM tips (Fig. 6, curve c). In contrast, when pyramid-shaped AFM tips are used (Fig. 6, curve d), the indentation does not increase linearly with the loading force. We attribute the nonlinearity of curve d to the high local strain exerted at the point of contact with the cell surface by the sharp tip.
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FIG. 6. Approach indentation curves for different surfaces and for F0 loading force values of 2, 4, 6, and 10 nN obtained by using pyramid-shaped AFM tips (PT) and colloidal AFM tips (CT). Curves a, b, c, and d correspond to glass (PT or CT), a glutaraldehyde-treated cell (PT), an untreated cell (CT) and an untreated cell (PT), respectively. The black arrows indicate the approach direction.
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Analysis of creep-deformation curves: cell surface viscoelasticity.
Although the elastic modulus is the most-commonly reported parameter to characterize the mechanical properties of bacterial cells, it does not provide a complete description. The force-time curves measured in the present study demonstrate that the cells undergo a time-dependent deformation in response to a constant loading force, i.e., they creep. Therefore, the cells are more-properly described as viscoelastic. In Fig. 7 we show an example of creep deformation for each type of cell and AFM tip geometry used in the present study for an F0 loading force of 4 nN. This behavior was observed for all values of the loading force F0 used in the present study (Fig. 8a). In addition, the creep data obtained for different contact times overlapped onto a master curve, as shown in Fig. 8b. We also found that the total relative deformation of the cell during creep, i.e., the total deformation that the cell undergoes after a 10 s period under a constant applied force (see the
z values in Fig. 7), was directly proportional to the loading force (Fig. 9), verifying that the experiments were performed within the linear viscoelastic regime. We note that the creep response was also linear for untreated cells that were measured by using pyramid-shaped AFM tips and that the response coincided with that obtained by using colloidal AFM tips. Since an identical response was found at different indentation length scales, ranging from several tens of nanometers to hundreds of nanometers (comparable to the size of the cell), this indicates that the local viscoelastic properties of the cell envelope on the nanoscopic scale are similar to its viscoelastic properties on the microscopic scale. More fundamentally, this finding suggests that we are measuring an intrinsic cell property and not an artifact that is due to a particular geometry probed in the experiment.
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FIG. 7. Creep deformation as a function of time for the different cases investigated (PT and CT represent pyramid-shaped AFM tips and colloidal AFM tips, respectively) using an F0 loading force of 4 nN. Note that the glass surface does not creep with time, corresponding to a horizontal line on the plot.
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FIG. 8. (a) Creep deformation response obtained for an untreated P. aeruginosa PAO1 cell using a pyramid-shaped AFM tip with a fixed contact time of 10 s and different values of the loading force F0 as indicated on the graph. (b) Creep deformation response obtained for an untreated P. aeruginosa PAO1 cell using a pyramid-shaped AFM tip with an F0 loading force of 6 nN and different contact times (1, 2, 5, and 10 s). The solid line represents the best fit to the data for the longest contact time of 10 s.
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FIG. 9. Total creep deformation as a function of the loading force for untreated PAO1 cells measured by using pyramid-shaped AFM tips ( ) and colloidal AFM tips ( ) and for glutaraldehyde-treated PAO1 cells measured by using pyramid-shaped AFM tips ( ). The solid lines are best-fit straight lines to the data for each data set.
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2, as defined for equation 1 and Fig. 2. We found that the fits of the creep deformation data to this model were very good for all of the cells and AFM tip geometries used in the present study, with linear correlation coefficient values that are close to one (R2
0.96). An example of a fit of typical creep deformation data to the standard solid model is shown in Fig. 8b. The averages of the best-fit values of the viscoelastic parameters of the standard solid model for the different cells and AFM tip geometries are listed in Table 1. The average values of the best-fit parameter values obtained for different values of the loading force F0 have been listed in Table 1, since the values do not vary significantly with the value of F0, with the exception of the value of k1 for untreated cells measured by using pyramid-shaped AFM tips, for which the range of k1 values is given. This variation of k1 with F0 is likely due to the nonlinear increase in cell indentation with loading force for pyramid-shaped AFM tips under this experimental condition. |
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TABLE 1. Best-fit viscoelastic parameters of the standard solid model obtained for untreated and glutaraldehyde-treated PAO1 cellsa
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are consistent with the time scale observed for creep deformation.
To further test the validity of our use of the standard solid model to interpret the creep deformation data, we exposed bacterial cells to glutaraldehyde. Treatment with glutaraldehyde increased the stiffness of the cell by at least a factor of 2.8 (corresponding to a value of k1 = 0.11 ± 0.03 N/m), presumably due to increased cross-linkages between amine groups located in the cell envelope. In addition, the treatment of the cells with glutaraldehyde resulted in a decrease of
by a factor of 2.2, indicating that the cell envelope responds more quickly to the deformation, which is consistent with an enhanced elastic response.
Slow, time-dependent creep deformation in response to an applied force could be a distinct advantage to bacterial cells. As cells grow, it is necessary to break some of the bonds within the very thin, highly stressed peptidoglycan network so that new peptidoglycan material can be inserted. The bond breaking is accomplished by autolysin molecules produced within the cell and transported through the cell wall. Maintaining the mechanical integrity of the peptidoglycan layer during cell growth is a challenging requirement for the cell, since the breaking of a bond will transfer stress to neighboring bonds, which are consequently easier to break. This could lead to a "domino" type of reaction, causing a tear or fissure and the eventual lysis of the cell. It is possible that the viscoelastic response of the bacterial cell wall observed in the present study could delay the accumulation of localized strain and allow bonds to reform before the rupture of the network can occur. This proposed mechanism for maintaining peptidoglycan network integrity during hydrolase activity has the advantage that it does not require the existence of other specialized enzymes that have been postulated (16, 21) but have not been observed.
The large deformations of the bacterial cell wall associated with cell division also make stringent demands on the mechanical properties of the bacterial cell wall. Our observation of the ability of bacterial cells with large intracellular turgor pressure to withstand very large deformations by the AFM tip (cf. Fig. 4) without lysing indicates the high strength of the peptidoglycan network.
It is clear from the results of these measurements that the mechanical properties of bacterial cell walls might fulfill a major role in the proper growth and division of the cells. The AFM-based technique to measure the local viscoelasticity on live bacterial cells described in the present study can provide important insight into various aspects of the mechanical properties. For example, the relative importance of cell elasticity and viscosity will depend on the chemical composition of the bacterial cell wall and the interactions between various structural components. Comparison of the mechanical response of cells which differ in the composition and architecture of their outer layer holds considerable promise for elucidating the role of specific molecular interactions in maintaining cell integrity, as well as other aspects of cell physiology. In addition, we have demonstrated that changes in the mechanical properties of the cells in response to external treatments, such as glutaraldehyde treatment, can be monitored. Antimicrobial compounds, such as beta-lactam antibiotics, cephalosporins, vancomycin, and (perhaps) aminoglycosides, are known to disrupt the peptidoglycan layer, and many other compounds can inhibit protein or DNA synthesis. Such physiological modifications to bacterial cell surfaces will likely produce corresponding changes to their physical properties, such as their elasticity and viscosity, and measurement of these properties could provide important insights into the mechanism of action of antibiotic agents.
In summary, we have presented a novel, nondestructive, AFM-based approach for the characterization of the mechanical behavior of individual bacterial cells. Through AFM imaging and the measurement of AFM force-indentation and force-time curves, we have demonstrated that the time-dependent response of gram-negative P. aeruginosa PAO1 cells to a constant loading force is viscoelastic, with both an elastic and a delayed elastic response. Further studies are needed to make definite correlations between the complex mechanical behavior of bacterial cell walls and their biological function.
This work is dedicated to T.J.B., our good friend and superb colleague, who passed away during the preparation of the manuscript.
Published ahead of print on 11 April 2008. ![]()
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