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* Department of Structural Biology, Weizmann Institute of Science, Rehovot, Israel;
Department of Mechanical Engineering and
Department of Materials Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel; and
HIV Drug Resistance Program, National Cancer InstituteFrederick, Frederick, Maryland
Correspondence: Address reprint requests to Itay Rousso, Dept. of Structural Biology, Weizmann Institute of Science, Rehovot 76100, Israel. Tel.: 972-8-934-3479; Fax: 972-8-934-4136; E-mail: itay.rousso{at}weizmann.ac.il.
| ABSTRACT |
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| INTRODUCTION |
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Expression of a single protein, termed Gag, is sufficient for formation of virus-like particles (1
,2
). After budding from the cell, virus particles undergo a maturation step essential for infectivity. Maturation is induced by the cleavage of the Gag protein by virus-encoded protease (PR) into at least three products: matrix (MA), capsid (CA), and nucleocapsid (NC) (3
) (Fig. 1 A). The significance of maturation is indicated by the fact that current protocols for highly active antiretroviral therapy, used in treatment of HIV-1-infected individuals, generally include inhibitors of PR. Maturation has been extensively studied using biochemical methods and various electron microscopy (EM) imaging techniques (4
). As observed by EM, maturation has no effect on the virus dimensions but has a striking visual effect on the internal virus structure (schematically shown in Fig. 1 B). Immature particles are characterized by a darkly stained ring under the virus envelope, whereas mature virus particles, after processing of Gag, exhibit an electron-dense core that is largely detached from the membrane (5
9
). In addition, immature particles are far more stable under mild detergent treatment than are mature particles (7
,10
,11
). However, nothing is known of the impact that maturation has on the structural and mechanical properties of live viruses. In parallel, characterization of the mechanical properties of virus particles may offer insight into their structure.
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An important model system for the study of retrovirus biology is the Moloney Murine Leukemia Virus (MLV), which is a member of the
-retrovirus genus. Like other
-retroviruses, MLV assembles at the plasma membrane. Here, we analyze the mechanical properties of mature and completely immature live MLV particles through indentation-type experiments conducted with an atomic force microscope (AFM) tip. AFM is uniquely suited to studying virus mechanical properties, since it combines high sensitivity in applying and measuring forces and high precision in positioning a tip relative to the sample with the ability to operate in physiological environments. Indeed, AFM has been successfully used to measure the mechanical properties of other biological samples (12
14
), some as small as viruses, including bacteriophage capsid proheads (15
), microtubules (16
), and peptide nanotubes (17
). The results reported here provide new insight into the structure of retrovirus particles. We also observed a clear difference in mechanical properties between the mature and immature particles. Moreover, this work establishes the groundwork for further investigation of a possible link between mechanical properties of a virus and biological function.
| MATERIALS AND METHODS |
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Sample preparation for AFM imaging and force measurements
Microscope glass slides were cleaned by boiling in HCl solution, dried, and rendered hydrophobic in hexamethyldisilazane (HMDS) vapors to enable attachment of the virus particles (15
). Virus particles were also attached, by electrostatic interactions, onto freshly cleaved mica pretreated with 20 mM MnCl2. Before deposition, purified virus solutions were filtered through a 0.45 µm filter. A 10 µl droplet of virus supernatant was then deposited onto a glass slide or mica surface and left to absorb onto the substrate for 15 min. The glass or mica surface was then gently rinsed with TNE buffer to remove unbound material. All measurements were carried out under TNE buffer. Replacing TNE buffer with cell culture media (DMEM, 10% FCS, 25 mM Glucose, and 10 mM HEPES pH 7.4) had no effect on the results (data not shown).
AFM imaging and indentation experiments
All AFM experiments were carried out using a Bioscope with a Nanoscope IV controller (Veeco, Santa Barbara, CA) equipped with a dimension XY closed loop scanner mounted on an inverted optical microscope (Axiovert 200M, Carl Zeiss, Germany). Images of virus particles were acquired in AFM tapping mode in a fluid environment and rendered using the WSxM software (Nanotec Electronica, http://www.nanotec.es/progcorn.htm). Pyramidal silicon nitride triangular cantilevers (with a measured averaged stiffness of 0.2 N/m (DNP) or 0.6 N/m (MLCT-AUHW) for mature or immature viruses, respectively) were used, their spring constants being determined experimentally by measuring the thermal fluctuations of the cantilevers (20
). Both cantilever types have a nominal tip radius of 20 nm. To measure the mechanical properties of an individual virus, an indentation experiment was performed with the microscope operated in the force-distance mode. Before beginning an indentation experiment, the probe was positioned at the center of the virus surface, and the AFM operation was switched from tapping to contact mode by reducing the driving amplitude to practically 0 mV. Thus, force-distance curves were carried out under contact mode operation. For each virus measurement,
100 force-distance curves were performed at a scan rate of 0.5 Hz (corresponds to a loading rate of 95 nm/s). To avoid viral damage during an experiment, the deflection of the cantilever was maintained within the range of 150200 mV, which corresponds to a maximal loading force of
2 nN.
Data analysis for calculating the virus point stiffness
To obtain the point stiffness of a virus particle from a set of roughly 100 successive force-distance curves, each curve was shifted, first along the z axis to set the tip-sample contact point to a distance of zero, and then along the y axis to set deflection in the noncontact mode to zero. We further analyzed each experiment by plotting the individual measured point stiffness as a histogram (Fig. 3 B), and as a function of the measurement count (Fig. 3 C). Virus measured stiffness (kmeas) was derived mathematically from the slope of the force-distance curve. A linear function was fitted to the upper 75% of the force-distance curve (Fig. 3 A, double-headed arrow), except for virus particles having a height of 50 nm or less, in which case only the upper 25% was used. Virus particles whose point stiffness values decreased consistently during experimentation were discarded, since they underwent irreversible deformation, probably due to fatigue or even breakage. Next, a maximal deflection threshold value was set. Curves failing to reach this value were discarded, while the remaining aligned curves were averaged. The averaged force-distance curves were then converted from deflection units (V) to loading force (N) by multiplying by the deflection sensitivity (in nm/V, derived from a force-distance curve performed on mica) and the spring constant (N/m) of the cantilever. The virus's measured stiffness (kmeas, in N/m) was derived mathematically from the slope of the averaged force-distance curve, as described above. The measured stiffness comprises the stiffness constants of both the virus (kvirus) and the cantilever (kcan). Assuming that the system can be modeled as two springs arranged in a series, the point stiffness of the virus can be computed according to Hooke's law:
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Finite element calculation
To calculate the Young's modulus from the measured virus stiffness we utilized the finite element method. The virus was modeled as a hollow sphere, made of a homogeneous material, resting on a flat rigid surface and loaded at a diametrically opposite point by an absolutely rigid spherical indenter with radius of 20 nm similar to the AFM tip used in the experiments. Sliding frictionless contact is assumed between the flat substrate and virus and between the indenter and the virus. This requires a solution of a nonlinear problem to find the distribution of forces in the contact area. The numerical model comprises a linear elastic material behavior and nonlinear geometric kinematics (allowing for large displacements). The resulting strains were found to be smaller than 1%, justifying the assumption of linear elastic behavior. This problem has been solved by the MSC.MARC software. Utilizing the axial symmetry of the problem, only a sector of 5° was modeled. The sectors are divided into 1600 and 7500 elements in the mature and immature models, respectively, and subjected to axisymmetrical boundary conditions. Loading was simulated by prescribing the downward movement of 2 nm of a rigid indenter, calculated in 20 concurrent increments. The stiffness of the model is calculated as the maximum force divided by the corresponding displacement. The Young's modulus of the model material was adjusted and the analysis repeated until the calculated rigidity fitted the measured one.
| RESULTS AND DISCUSSION |
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Indentation of virus particles
To measure the mechanical properties of virus particles, the AFM tip was positioned at the center of a single virus surface, and force-distance curves were acquired at the same position. To minimize drift of the AFM probe during experiments, an XY closed loop scanner was used. A typical force-distance curve for a mature virus particle is plotted in Fig. 3 A, together with the corresponding cantilever deflection curve. The cantilever deflection curve is obtained by measuring a force-distance curve for glass, which can be considered an infinitely stiff material compared to the cantilever, and one that the probe cannot deform in any way. The difference between the z displacement of the virus and the cantilever deflection for a given loading force corresponds to the indentation of the virus by the AFM probe. As seen in Fig. 3 A, even at the maximal applied loading force, the indentation depth was on the order of a few nanometers. Maintaining small indentation depths is essential for minimizing damage to the sample during the experiment. It also ensures that the rigid supporting substrate or the CA core (in mature virus particles) will not contribute significantly to the measured stiffness (21
,22
). Moreover, it is possible that repeated application of force may irreversibly damage the sample. Therefore, for each measurement consisting of nearly 100 force-distance curves we verified that the virus did not undergo irreversible deformation. The measured point stiffness derived from these
100 curves was plotted as a function of the measurement number, and as a histogram to which a Gaussian curve was fitted (Fig. 3, B and C). The distribution of the measured stiffness within a single experiment is shown for a mature virus particle in Fig. 3 B. Similar distribution is obtained for immature particles (data not shown). During each experiment, the measured stiffness values derived from the individual force-distance curves were found to distribute normally around a mean, which suggests that the virus did not undergo irreversible deformation during measurement.
The effect of maturation on virus mechanical properties
Although maturation has no effect on the appearance of the virus imaged by AFM, it results in significant internal morphological changes when visualized by EM (5
9
). We find that virus maturation has a dramatic effect on its point stiffness. In fact, cantilevers used to indent mature virus particles (DNP) were too soft for use on immature particles, which could only be indented by significantly stiffer cantilevers (MLCT-AUHW). The effect of maturation on virus mechanical properties is presented in Fig. 4 where the averaged measured stiffness obtained from the complete dataset is shown. Our dataset includes virus particles with diameters ranging from 80 to 150 nm; however, their stiffness values do not correlate with their height, as indicated by Fig. 4 (inset). The scatter in the measured stiffness values is likely to reflect variations from one retrovirus particle to the next. The averaged measured stiffness of mature virus particles is 0.13 N/m (SD = 0.05, n = 29). Immature particles are almost three times stiffer than mature particles, with an averaged measured point stiffness of 0.33 N/m (SD = 0.13, n = 24). Student's t-test showed this difference in stiffness values to be significant (P < 0.0001 at 99.9% confidence level). Using the equation presented in Materials and Methods, we calculated that the average stiffness values of mature and immature virus particles are 0.31 N/m and 0.68 N/m, respectively.
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0.3 N/m at 00.25 nm deflection, to a nearly constant value of 0.9 N/m, along the second-half of the simulated indentation (Fig. 7). The difference in the shape of the curves is, however, in the limit of the resolution of our experiments, and therefore could not be verified experimentally.
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The finite-element simulation also allows us to compare the stiffness of MLV with other biological samples. Our calculation shows that MLV particles in the mature and immature forms are both stiffer than phospholipid vesicles (
2 MPa) (25
) and nearly three orders-of-magnitude stiffer than mammalian cells (KPa range) (26
28
). However, they are significantly softer than peptide nanotubes (
19 GPa) (17
), but similar to bacteriophage capsids (
1.8 GPa) (16
), and microtubules (
1 GPa) (15
).
Future work will be focused on characterization of the mechanical properties of virus particles in which individual Gag cleavage sites are genetically blocked. These studies are expected to provide insights on the contribution of each domain to the overall stability of the virus structure, and into Gag protein-protein interactions in the various maturation states.
The virus shell
Virus particles deposited on positively charged mica exhibit a lower height and different mechanical properties than native-shaped particles. These flattened virions are softer than native-sized mature particles (Fig. 4), with an averaged measured point stiffness value of 0.06 N/m (SD = 0.02, n = 23). Interestingly, the flattened mature virus is practically identical to the flattened immature form in height and in contrast to native-sized particles, in its mechanical properties (data not shown). The above results suggest that the deformation of the flattened virus induces structural alterations. Further insight into the virus structure can be obtained from the shape of the force-distance curves (Fig. 3 A). In the force-distance curves of native-sized particles (mature and immature), there is practically a linear correlation between the loading force and the z displacement. Thus, the point stiffness values derived from these force-distance curves are constant and independent of loading force. Such a correlation is typical for the indentation of shells (as long as the indentation depth is smaller than the shell thickness) (29
). By contrast, a nonlinear force-distance curve is obtained from the indentation of flattened particles. This is due to the point stiffness increasing with loading force, and suggests a broken shell. A similar nonlinear correlation is obtained during indentation of structures, such as lipid vesicles (25
,30
), that lack a rigid shell structure. We therefore conclude that an excessive binding force between the virus and a rigid substrate (mica) deforms the virus. This excessive force is presumably larger than the mechanical differences between the mature virus and the stiffer immature virus particles, and is sufficient to collapse their structure to such a degree that they become indistinguishable.
We next measured the effect of directly applying an excessive force with the AFM on an individual virus particle attached to a glass slide. In these experiments, after acquisition of a few tens of force-distance curves, the loading force was gradually increased to its maximal level. The force was then reduced back to its initial value, and more force-distance curves were acquired. As seen in Fig. 8 A, at the beginning of the experiment the force-distance curve's shape was typical of a mature particle. However, after application of excessive force, the mechanical properties of the virus changed (Fig. 8 A) while the height of the virus remained unaffected. These changes were manifested not only in a reduced point stiffness value, but also in a loss of the linear nature of the force-distance curve. In several experiments, the point stiffness of the particle abruptly dropped (arrow in Fig. 8 B), probably due to structural fatigue induced by the repetitive stress. All of the above results strongly support the hypothesis that the mature virus in its native form has an intact rigid shell structure underneath its membrane.
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| CONCLUSIONS AND IMPLICATIONS |
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At present, it is not clear from the literature whether MA proteins form a lattice under the membrane of a mature retrovirus particle. Our results provide strong supporting evidence for the existence of a rigid shell below the membrane of the intact mature virus, which is presumably composed of MA molecules. We show that the shell is brittle and can be broken under excessive loading forces. The existence of such a shell poses a challenge for our current understanding of the fundamental mechanism for viral entry. Undoubtedly, for infectivity, this MA shell must break to enable content mixing between the virus and the cell after membrane fusion. Presently, it is not known whether the virus shell collapses upon binding to the cell membrane, as it does when the virus is deposited on mica by electrostatic interactions, or whether it enters the cell as an intact shell that slowly disassembles at a later stage. Our current efforts are focused on addressing such questions.
| SUPPLEMENTARY MATERIAL |
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| ACKNOWLEDGEMENTS |
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This work was supported by a grant from the Eisenberg-Keefer Fund for New Scientists, the Kimmelman Center for Macromolecular Assemblies, and in part by the Intramural Research Program of the National Institutes of Health, National Cancer Institute, Center for Cancer Research. I.R. is the incumbent of the Robert Edward and Roselyn Rich Manson Career Development Chair.
Submitted on December 19, 2005; accepted for publication April 20, 2006.
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