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* Department of Physics and Division of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts;
Department of Systems Biology and Institute of Chemistry and Cell Biology, Harvard Medical School, Boston, Massachusetts; and
Program in Biophysics, Harvard University, Cambridge, Massachusetts
Correspondence: Address reprint requests to Megan T. Valentine at her present address, Stanford University, Biological Sciences, 30 Herrin Labs, Stanford, CA 94305. Tel.: 650-724-5536; E-mail: mvalenti{at}stanford.edu.
| ABSTRACT |
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20 mPa-s. We explore the impact of rheology on actin-dependent cytoplasmic contraction, and find that although microtubules modulate contractile forces in vitro, their interactions are not purely mechanical. | INTRODUCTION |
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Here, we present crude interphase cytoplasmic extracts obtained from Xenopus laevis eggs as a model system for the study of cytoplasmic mechanics. Xenopus extracts support the formation of actin, microtubule, and cytokeratin networks, contain numerous binding proteins that mediate mechanical interactions between different filament systems, as well as a concentrated suspension of globular proteins that permeates the network to serve as a model cytosol (Clark and Merriam, 1978
; Mandato et al., 2000
). Initial studies have explored the biophysics of microtubule-dependent transport phenomena in this system (Salman et al., 2002
); however, Xenopus extracts remain generally underused as an environment in which to examine the mechanical properties of complex cytoplasmic protein mixtures in the absence of preorganized cellular structures.
Xenopus egg extracts have unique technical advantages that make them especially useful for our studies. The cytosol is diluted very little, only 1020%, during homogenization (Murray, 1991
). Extracts remain metabolically active, with energy in the form of ATP supplied by the metabolism of endogenous glycogen and added phosphocreatine; this prevents myosin motors from forming rigor bonds onto actin filaments which would result in artifactual stiffening of the gel. Actin, microtubules, and cytokeratin, the only intermediate filament present in the extract, may be removed or stabilized by addition of pharmacological or immunological agents, allowing us to probe their different mechanical roles and isolate the molecular basis of gel elasticity (Franz et al., 1983
; Franz and Franke, 1986
). Moreover, it is possible to harvest relatively large amounts of cytoplasm to perform conventional mechanical tests.
Xenopus egg extracts are commonly used as model systems for the study of a wide range of biological processes, many of which involve structural rearrangements. In particular, these extracts have been essential to our understanding of a number of intrinsically mechanical cytoskeletal processes, including microtubule-based spindle assembly (Desai et al., 1999
); actin-based propulsion of organelles (Theriot et al., 1994
; Cameron et al., 1999
; Taunton et al., 2000
); the control of microtubule dynamics (Shirasu et al., 1999
); and interactions of the different polymer networks in cytoplasm (Sider et al., 1999
; Waterman-Storer et al., 2000
; Weber and Bement, 2002
). Xenopus extracts have also been used as a model system to study bulk physiological sol-gel transitions and actin-dependent contraction, which may underlie cell spreading and crawling (Clark and Merriam, 1978
) and may be a useful model for meiotic spindle-cortex interactions (Z. E. Perlman, T. J. Mitchison, unpublished observations). Despite great interest in the biological characteristics of egg extracts, few experiments have focused on quantitative measurements of the viscoelastic properties of this material, limiting our understanding of the ways in which these mechanical properties underlie or constrain biological behaviors in this system.
In this article, we characterize the mechanical properties of Xenopus-derived bulk cytoplasm. We demonstrate that F-actin, microtubules, and cytokeratin form a composite network with a large mesh size of several microns, giving rise to viscoelastic responses that vary greatly depending on the length scales at which we probe the material. To measure the macroscopic properties of the extract, we use a mechanical rheometer to investigate the onset of gelation, and the frequency- and strain-dependent network response. We demonstrate that the composite network forms a soft viscoelastic solid with elastic modulus G' in the range 210 Pa and viscous modulus G'' in range of 0.55 Pa and further that the F-actin and microtubule networks cooperate to give mechanical strength. To measure the microscopic properties of the extract, we use a multiple particle tracking technique to observe the thermal motions of embedded colloidal particles. At length scales of a micron, we find that the elastic filaments do not contribute and the sample is predominantly viscous with viscosity
20 mPa-s. We explore the impact of this rheological response on actin-dependent cytoplasmic contractility, and demonstrate that microtubules oppose contractile forces in vitro.
| MATERIALS AND METHODS |
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Sample preparation
In all cases, extracts are thawed immediately before use and kept on ice until loaded into experimental chambers. To probe the molecular basis for viscoelasticity, we use a variety of pharmacological and immunological techniques to selectively disrupt or stabilize a single component of the cytoskeleton. Actin is disassembled by addition of 30 µM latrunculin B (Calbiochem, San Diego, CA) and microtubules are disrupted by addition of 10 µM nocodazole (Sigma-Aldrich, St. Louis, MO). Phalloidin and taxol (Cytoskeleton, Denver, CO) are each added at a concentration of 10 µM to stabilize actin and microtubule networks, respectively. All drugs are dissolved in dimethyl sulfoxide (DMSO) such that the final experimental concentration is 1%. Cytokeratin assembly is blocked by the addition of 1 mg/mL of the cytokeratin monoclonal antibody C11 (Sigma-Aldrich, St. Louis, MO). Control experiments with the addition of 1 mg/mL of the nonspecific antibody IgG or an equivalent amount of pure phosphate-buffered saline (PBS; pH = 7.4) are also performed. Due to difficulties in obtaining highly concentrated IgG samples, the addition of antibodies to the extract introduces a 1:8 dilution. No DMSO is added to native gels or those treated with C11, IgG, or PBS.
Macroscopic rheology
To measure the bulk viscoelastic response, we use a mechanical strain-controlled rheometer (ARES: TA Instruments, New Castle, DE) with a cone and plate geometry, with a cone radius of 25 mm, cone angle of 0.02 rad, and minimal gap of
800 µm; the required sample volume is 500 µL. The lower plate fixture is chilled to 5°C, and the upper cone fixture is chilled on ice before mounting. To reduce the likelihood of the sample drying during the course of the measurement, we use a room humidifier and surround the cone and plate with a humid chamber. Once the sample is loaded, we raise the temperature of the lower tool to 22°C, and wait for the temperature to equilibrate. To probe the rheological response of the isolated cytoplasm, we apply a small amplitude, oscillatory shear strain,
(t) =
o sin(
t), where
is the frequency of oscillation and
o is the strain amplitude and measure the resultant shear stress
where G' is the storage or elastic modulus and G'' is the loss or viscous modulus. The smallest torque we are able to detect is
1 x 107 N-m, corresponding to a minimum stress of
0.1 Pa. To study the onset of gelation, we perform measurements with
= 1 rad/s and
o = 0.05 every several minutes for
1 h after warming and monitor the change in G' and G'' as a function of time. For times significantly beyond 1 h, our measurement often becomes unreliable. Drying and denaturing of the sample sometimes occur, forming a crust at the edge of the cone and plate and causing a large and sudden increase in the modulus; we also sometimes observe monotonic decreases in modulus at long times. We suspect that this decrease is a hallmark of macroscopic gel contraction, which allows slip at the interface of the sample and tool. For those samples that exhibit steady-state behavior, we perform frequency-dependent measurements, with
o = 0.01 or 0.05, and
ranging from 1 to 100 rad/s. We also probe the nonlinear viscoelastic regime by measuring
, G', and G'' as a function of
o for
= 1 rad/s and
o ranging from 0.005 to 25.
Multiple particle tracking
Measurements of microscopic viscoelasticity are made as previously described (Valentine et al., 2004
). Briefly, protein-resistant polyethylene glycol (PEG)-coated particles are added to the extracts, and the sample is loaded into a chamber consisting of a microscope coverslip, slide, and 170-µm thick spacer. The slides are then gently transferred to an inverted research microscope (Leica DM-IRB) for observation with a 40x oil-immersion lens. Particles are imaged with brightfield microscopy, and each particle's thermally induced Brownian movements are recorded with a CCD camera (Cohu, San Diego, CA) onto S-VHS video tape or are digitized in real time using custom-written image analysis software (Keller et al., 2001
); the magnification is 250 nm per pixel. Video frames are acquired to obtain tracer positions with 30 Hz temporal resolution. In each frame, the positions of the particles are identified by finding the brightness-averaged centroid position with a subpixel accuracy of
25 nm (Crocker and Grier, 1996
). Positions are then linked in time to create two-dimensional particle trajectories. To quantify particle motions, we calculate the ensemble averaged mean-squared displacement (MSD),
as a function of lag time,
, where the angled brackets indicate an average over many starting times t and the ensemble of particles in the field of view. For spherical tracers that are embedded in a homogeneous and incompressible medium, the MSD is directly related to the viscoelastic response of the surrounding material (Mason and Weitz, 1995
; Gittes et al., 1997
; Mason et al., 1997a
,b
; Levine and Lubensky, 2000
). For a heterogeneous material, tracers that resist protein adsorption and are approximately equal to or smaller than the structural length scales move within mechanically distinct microenvironments and their dynamics are no longer directly related to the bulk viscoelastic response. Rather, their Brownian movements are sensitive to the viscosity of the solvent, effects of macromolecular crowding, and steric and hydrodynamic interactions with the network (Jones and Luby-Phelps, 1996
; Luby-Phelps, 2000
; Chen et al., 2003
). PEG-coated tracers are required for these measurements to prevent aggregation and uncontrolled adsorption of proteins (Valentine, et al., 2004
). In particular, active molecular motors bind to and transport unmodified beads through the cytoplasm, thereby confounding simple measurements of diffusion of the embedded probes.
Contraction assay
To investigate the role of the microtubule network in the actin-dependent contraction of interphase Xenopus egg extracts, we observe the contractile behavior of samples exposed to various pharmacological treatments as a function of time. Extracts are placed into six-well flat-bottomed Petri dishes and imaged by a CCD camera that is mounted to the table and suspended over the plate. Images are analyzed using custom-written IDL software to quantify the contraction.
| RESULTS AND DISCUSSION |
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= 1 rad/s and a strain of
0 = 0.05. Untreated extracts form weak viscoelastic solids, with elastic moduli G' in the range of 210 Pa, and viscous moduli G'' in the range of 0.55 Pa, as shown by their time evolutions in Fig. 1. Each curve represents an independent measurement, and demonstrates the variation in response from run to run. For extracts that are harvested on the same day and pooled before freezing, we measure slightly smaller differences in the moduli among repeated runs, suggesting that some of the variation in G' and G'' may reflect differences in extract composition among harvests. The onset of gelation, defined as the time at which the sample produces a measurable stress with
o = 0.05 and
= 1 rad/s occurs between 15 and 50 min after warming. Although the details of the time evolution vary from run to run, there are common features: in each case the extract gels to form a soft solid, and the elastic modulus dominates the loss modulus for all times, with the loss ratio G''/G'
0.30.5. The value of the elastic modulus is 10100 times larger than is typically measured for entangled reconstituted F-actin networks, and is similar to that measured for cross-linked actin gels (Janmey et al., 1990
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= 1 rad/s. The regime in which stress is linearly dependent on strain is small, with strain softening occurring for
o > 0.01, as shown with a representative data set in Fig. 3. At high strains, the time-dependent stress may become nonsinusoidal, causing uncertainties in the calculation of the moduli. We cautiously note that G' appears to dominate until very large strains; at the highest strains, G'' prevails, and we estimate the apparent viscosity
=
1G''
20 mPa-s.
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We also selectively promote the growth of actin filaments or microtubules using the actin-stabilizer phalloidin or the microtubule-stabilizer taxol. Experimentally, we observe similar responses for extracts treated with either drug at 10 µM, as shown in Fig. 4, A and B; several independent measurements are shown for each condition to indicate the variability in the response. In both cases, samples gel within 2035 min of warming, forming a soft viscoelastic solid with moduli similar to that measured for the untreated native extracts. In both cases the moduli fail to reach a steady-state value within the experimental observation time, and we observe a decrease in the modulus at long waiting times.
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Our mechanical measurements demonstrate that F-actin and microtubules play a crucial role in the mechanical response of the cytoplasm. Actin network disassembly eliminates network elasticity whereas the disruption of the microtubule network results in substantially weaker cytoplasm as compared to the untreated extract. Previous measurements of F-actin-microtubule interactions in Xenopus egg extracts have shown that microtubules, in conjunction with the motor protein cytoplasmic dynein, form physical contact with and exert force on F-actin, promoting the assembly of actin filaments into larger bundles (Sider et al., 1999
; Waterman-Storer et al., 2000
). As a result, the microtubule lattice may affect mechanical response directly by forming an independent stress-bearing network, with large bending modulus due to the extremely long persistence length of microtubules, of order 1 mm, or indirectly by remodeling the actin filaments into bundles that are better able to resist deformation (Waterman-Storer et al., 2000
). In support of the latter, we observe colocalization of F-actin and microtubules using confocal fluorescence microscopy (data not shown).
Although both the actin and microtubule networks make important contributions to the elastic response of the cytoplasm, addition of the anti-cytokeratin antibody C11 results in no measurable change in viscoelastic response relative to IgG control, suggesting a minor role for the cytokeratin filament system in the mechanical properties of isolated cytoplasm. Our data indicate that despite their considerable tensile strength, cytokeratin filaments in this system deform more easily than F-actin or microtubules in response to shear stress. Intermediate filaments have been reported to contribute mechanical strength in vivo and are present in significant quantities in cells that undergo large tensile stresses, including nerve cell axons, muscle cells, and epithelial cells (Andra et al., 1997
; Alberts et al., 2002
). In cells, intermediate filaments are often anchored to the plasma membrane at cell-cell junctions and are found in the other membrane-associated structures such as the nuclear lamina (Herrmann and Aebi, 2000
). Our measurements of isolated cytoplasm suggest that in cells, the organization of intermediate filaments by such membranous structures may be essential to their mechanical strength.
Previous measurements of the elastic properties of intact and adherent living cells have reported larger elastic moduli than what we measure in bulk cytoplasm; these differences likely arise from variations in polymer concentration, degree of cross-linking, and mesh size among cell types. For example, magnetic twisting cytometry measurements of human airway smooth muscle cells give elastic moduli in the range of 1001000 Pa, with G''/G'
0.4 (Fabry et al., 2001
). For these measurements, beads are coated with a synthetic RGD (Arg-Gly-Asp)-containing peptide to specifically bind tracers to surface-bound integrin receptors and target the actin cytoskeleton and stiff actin-rich stress fibers. Experiments using atomic force microscopy (AFM) also measure cell response externally, and give elastic moduli of
1000 Pa (Mahaffy et al., 2000
). Other AFM measurements of fibroblasts indicate that the elastic response arises predominantly from the actin cytoskeleton, and that the removal of F-actin reduces elasticity, whereas disassembly of the microtubules has no effect (Rotsch and Radmacher, 2000
). Internal microrheological experiments using phagocytosed particles to probe the cytoplasm of macrophages measure a slightly weaker elastic response, with an average modulus of
350 Pa with values ranging from
20750 Pa (Bausch et al., 1999
). Our measurements of isolated cytoplasm give moduli in the range of 110 Pa, significantly smaller than that measured by techniques that selectively probe the actin cortex of adherent cells, but similar to the lower range of values reported for direct measurements of the macrophage cytoplasm. As with the cytokeratin network, it is likely that actin and microtubule networks are stiffened by the organization imposed by the organelles and internal membranes of the intact cell.
Extracts are viscous on micron length scales
To characterize the mechanical microenvironments of the egg cytoplasm, we embed into the extracts 1-µm-diameter colloidal particles that have been rendered protein-resistant by the attachment of a PEG brush layer (Valentine et al., 2004
), and record their thermal motions with video microscopy. Ten minutes after warming, particle dynamics are slightly subdiffusive, with
with
0.70.95, as shown in Fig. 5; this indicates that the material is not a pure fluid on micron length scales. Nevertheless, the material response is dominated by viscous dissipation. We determine an approximate value for the viscosity,
from
where kBT is the thermal energy and a is the particle radius; we estimate
= 1030 mPa-s. We measure no significant change in particle dynamics upon disassembly of either the actin or microtubule networks, or the addition of taxol to stabilize the microtubules, indicating that the elastic filaments are not playing a large role in the microscopic mechanical response. Microscopic contraction of the actin network prevents measurements of particle dynamics upon addition of phalloidin, and causes a slight upturn in the data for the extracts treated with nocodazole at the longest lag times. After 30 min, the extracts are still dominated by viscous relaxation, with viscosity in the range of 1030 mPa-s; microscopic gel shrinkage prevents measurements of nocodazole- or phalloidin-treated gels at the 30-min time point. We compare this viscosity to that obtained with macroscopic measurements of G'' at high strains, a regime in which the elastic structures have likely yielded, and with steady shear measurements of extracts kept cold at 4°C (data not shown). In both cases the rheological response is dominated by the viscosity of the background fluid, and we find good agreement with that measured from the microscopic particle dynamics. Measurements with 0.2-, 0.5-µm PEG-coated tracers, and endogenous pigment granules of
0.8 µm also suggest viscosities in the range of 1030 mPa-s (data not shown).
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water = 1 mPa-s. This increase is likely due to the high concentration of globular proteins found in egg extracts, typically 1020% weight/volume (data not shown). Consistent with this, we have independently measured the viscosity of a solution of bovine serum albumin (BSA), a 67-kDa globular protein, at concentrations of 25% weight/volume, to be
25 mPa-s (data not shown). A previous study of the motion of 3-µm protein-absorbing particles in clarified Xenopus egg extract reported a slightly lower viscosity of 3 mPa-s when both microtubules and actin were depolymerized (Salman et al., 2002
In addition to the multiple particle tracking measurements of individual particles, we also attempted to use two-particle microrheology techniques, in which the correlated motion of pairs of particles is analyzed to measure the long wavelength deformation of a material (Crocker et al., 2000
). We were unable to measure any correlated signal using our PEG-coated tracers, which we attribute to the very weak coupling of these probes to the protein network, which may reduce the long-range transmission of strain responsible for correlated particle movements in gels (Valentine et al., 2004
).
We measure no significant change between the particle dynamics recorded after a 10-min and a 30-min incubation, no significant difference in particle movements when either the actin or microtubule networks are removed, and no correlated particle movements using two-particle microrheology analysis. This suggests that in all cases and all times, the filaments that are responsible for the macroscopic elastic response are well separated, with a mesh size larger than our particle diameter of 1 µm. We observe slightly subdiffusive particle dynamics, suggesting that local microstructure may provide some resistance to tracer movement; however, neither the actin nor microtubule networks are solely responsible for this resistance. Previous measurements of intact cells have reported similar heterogeneous local clusters of densely packed or strongly cross-linked filaments separated by soft regions (Luby-Phelps et al., 1986
; Bausch et al., 1999
).
Macroscopic gel contraction is actin-dependent and is opposed by microtubules
Upon warming to room temperature, native interphase Xenopus extracts contract and separate into an optically dense pellet surrounded by clear fluid, as shown in Fig. 6 A. Temperature-dependent gelation and contraction has been observed in many cytoplasmic extracts, and for Xenopus extracts is at least initially reversible (data not shown; Kane, 1976
; Boxer and Stossel, 1976
; Clark and Merriam, 1978
; Kane, 1980
). We investigate the role of cytoskeletal elasticity in this contraction using pharmacological treatments to selectively stabilize or remove F-actin and microtubules. The extracts are loaded into the observation chambers, initiating temperature-dependent polymerization and cross-linking of the filaments, and the resultant contraction is measured as a function of time. Untreated extracts contract little within the first 60 min, and
55% within 120 min, as determined by the change in the measured area of the extract, A, shown in the representative data set in Fig. 6 B. The selective removal of actin by the addition of latrunculin B prevents all contraction, consistent with an actomyosin driving mechanism (Clark and Merriam, 1978
). By contrast, stabilizing the actin filaments with 10 µM phalloidin dramatically accelerates contraction, causing a 50% reduction in area within 60 min and a 65% reduction in 120 min. When we selectively remove the microtubules with nocodazole, we observe a significant reduction in the rate of contraction as compared to the untreated gels but similar time evolution overall, as shown in Fig. 6 C. When microtubules are stabilized with 10 µM taxol, the onset of contraction is significantly delayed to
100 min. Evidence of differences in the onset of contraction is also observed at the microscopic level using multiple particle tracking. Macroscopic contraction is accompanied by, and in some cases preceded by, the onset of nonuniform cytoplasmic flows. These streaming flows take up to an hour to develop in untreated extracts, but are observed in nocodazole-treated extract within 30 min and in phalloidin-treated extract within 10 min of warming. These differences in the onset of contraction are also consistent with our ability to measure a steady-state macroscopic viscoelastic response within our experimental observation time.
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Independent measurements have also reported that microtubules suppress the actomyosin-based contraction that drives cortical flow in cultured cells and Xenopus oocytes, as well as contraction near cell-substrate adhesions (Lyass et al., 1988
; Danowski, 1989
; Canman and Bement, 1997
; Benink et al., 2000
; Small et al., 2002
). One hypothesis to explain this effect is that the microtubule network mechanically resists the compression and deformation that accompanies contraction (Benink et al., 2000
; Waterman-Storer et al., 2000
). In support of this mechanical model, previous measurements in fibroblasts and reconstituted composite networks, which consist of actin, the actin-cross-linking protein filamin, and smooth muscle myosin II, have demonstrated that contraction can be induced by a decrease in gel structure through partial solation of actin (Janson et al., 1991
; Kolega et al., 1991
). Our data suggest that in composite cytoplasmic networks, disassembly of the microtubule network also induces contraction. However, our data do not support the suggestion that changes in the elastic resistance of the microtubule network are solely responsible for modulating the actomyosin interactions. In the case of taxol-stabilized extracts, we measure little difference in network rheology as compared to the untreated gels, yet observe striking differences in their contractile behavior. In this case, the microtubules may biochemically interact with the actomyosin cytoskeleton; although such interactions remain poorly understood, microtubule regulation of actin based-contraction is suggested by observations in both Xenopus oocytes (Benink et al., 2000
) and mammalian tissue culture (Palazzo and Gundersen, 2002
). Alternatively, very local changes in gel structure and elasticity may dominate the contractile response without causing gross changes to the macroscopic rheology.
| SUMMARY |
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| ACKNOWLEDGEMENTS |
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This work was supported in part by grants from the National Science Foundation (DMR-0243715), the Materials Research Science and Engineering Center through the auspices of the National Science Foundation (DMR-0213805), the National Aeronautics and Space Administration (NAG3-2284), and the National Institutes of Health (GM39565). Z.E.P. is a Howard Hughes Medical Institute Predoctoral Fellow.
Submitted on June 20, 2004; accepted for publication October 7, 2004.
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