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Physiology Program, Department of Environmental Health, Harvard School of Public Health, Boston, Massachusetts
Correspondence: Address reprint requests to Dr. Mark F. Coughlin, Tel.: 617-432-2610; E-mail: mcoughli{at}hsph.harvard.edu.
| ABSTRACT |
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| INTRODUCTION |
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In purified systems containing only actin filaments and filamin molecules, actin filaments intersect at nearly orthogonal angles (6
,7
). Orthogonal crosslinking of actin filaments by filamin provides an efficient mechanism to regulate bulk rheological properties. Actin filament networks with few or no filamin molecules exhibit fluidlike properties; they flow under the application of a constant shear stress (8
10
) and exhibit a near-power-law dependence of dynamic stiffness on oscillatory frequency (8
,10
,11
). The addition of relatively few filamin molecules changes the consistency of the network from a viscoelastic fluid to an elastic solid; the solution gelates (9
,12
), the dynamic stiffness remains nearly constant over 34 decades of oscillatory frequency (11
,13
), and a nearly elastic creep response is observed under constant shear stress (13
). Associated with the decrease in frequency dependence with addition of filamin molecules is a disproportionate increase in network stiffness. Doubling the number of filamin molecules at a fixed actin concentration more than doubles the dynamic stiffness, with increases at low frequencies exceeding an order of magnitude (11
).
In purified actin-filamin gel systems, no other crosslinkers are present, filamin is uniformly distributed, and the network is usually studied in a range of mechanical perturbations around the unstressed state. In the living cell, by contrast, other crosslinkers are present, filamin is nonuniformly distributed, and the cytoskeletal network is under substantial tension (14
). Imaging studies indicate that filamin-A concentrates mainly in the dense cortical cytoskeleton, although it has a wide spatial distribution throughout the cytoplasm (15
17
). Moreover, imaging studies are unable to determine what fraction of the filamin in any cell region is bound to actin, active, and exerting mechanical effects. In the mechanical properties of the living cell, therefore, the role of filamin and the locus of its action remain unclear. Here we report cytoskeletal rheology and remodeling in adherent hsFLNa-expressing (FIL+) and hsFLNa-deficient (FIL) melanoma cells in culture. To probe these cells, we used magnetic microbeads (4.5-µm-diameter) that were coated so as to emphasize mechanical coupling either to cortical or to deeper cytoskeletal structures.
| METHODS |
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Filamin-A expression
Lysates were prepared for immunoblotting by harvesting cells at 80% confluency from six-well plates. Cells were trypsinized, suspended in serum-containing media, centrifuged, and washed with PBS to remove serum proteins, and suspended in homogenization buffer (20 mM Tris buffer, pH 7.6, 1 mM EGTA, 0.5 mM MgSO4, 10 µg/ml leupeptin, 5 µg/ml pepstatin A, 10 µg/ml aprotinin, and 0.2 mM AEBSF [4-{2-aminoethyl}benzenesulfonyl fluoride]). Cells were homogenized by 20 passes with a small-volume Teflon-on-glass Dounce homogenizer and by two freeze-thaw cycles.
Protein concentration of the supernatant was determined by the Bradford method using Bio-Rad dye reagent (Bio-Rad, Richmond, CA). Supernatant of cell lysates were then mixed with loading buffer (0.062 M Tris-HCl, pH 6.8, 10% glycerol, 2% SDS, 5% b-mercaptoethanol, and 0.01% (wt/vol) bromphenol blue) to a volume of 30 ml and boiled for 5 min. Equal amounts of total cell protein (20 µg) were resolved by SDS-PAGE (125 V, 90 min) on 12% Tris-glycine gel (Invitrogen, Carlsbad, CA) and transferred to nitrocellulose membrane (20 V, 90 min) in transfer buffer (Invitrogen). Membranes were treated with blocking solution (10 mM Tris saline buffer containing 150 mM NaCl, 0.1% Tween 20, and 5% nonfat dry milk), incubated overnight at 4°C with primary mouse antibody to Filamin-A (MAB 1680, dilution of 1:1000; Chemicon, Temecula, CA), incubated for 1 h at room temperature with secondary goat anti-mouse IgG linked to horseradish peroxidase (dilution 1:1000; Cell Signaling, Woburn, MA), and then visualized by light emission on film with enhanced chemiluminescent substrate (Cell Signaling, Beverly, MA). The band visualized at
25 kDa was scanned with a UMAX PowerLook flatbed scanner (Bio-Rad, Hercules, CA) and analyzed by scanning densitometry with Gel Pro Analyzer software (Media Cybernetics, Silver Spring, MD).
Filamin immunofluorescence
Cells were prepared for experiments as described below. Instead of assessing mechanical properties, the cells were fixed with 3.7% paraformaldehyde (Sigma) for 15 min, and permeabilized with 0.01% Triton-X (Sigma) for 15 min. Nonspecific staining was blocked with 10% normal goat serum (Sigma) and 1% BSA (Sigma) for 30 min. Filamin was stained by fluorescently tagged filamin antibody (Chemicon, Temecula, CA) at a dilution of 1:100 for 1 h at room temperature and mounted for immunofluorescence microscopy.
Ferrimagnetic microbeads
Ferrimagnetic beads (solid Fe3O4, 4.5-µm-diameter) were produced in our laboratory and their surfaces were treated in one of two ways. One set of beads was coated with a synthetic peptide containing the sequence RGD (Peptite 2000; Integra LifeSciences, San Diego, CA) at 50 µg ligand/mg beads by incubating beads overnight at 4°C in carbonate buffer (pH 9.4). Ligation of receptors on the cell surface by RGD-coated beads induces a cascade of events including the assembly of a focal adhesion complex (18
) and the recruitment of cytoskeletal proteins to the bead attachment site (19
). The resulting focal adhesion complex provides the means to transmit mechanical deformation to the cytoskeleton and throughout the cell (20
). Thus, RGD-coated beads probe deep cytoskeletal structures.
Another set of beads was coated with poly-L-lysine (PLL) by incubating overnight at 4°C in 0.01% (w/v) PLL solution (Sigma). The binding of PLL-coated beads to the cell surface is nonspecific and integrin-independent. Poly-L-lysine-coated adhesion substrates do not induce the formation of a focal adhesion complex (21
) and PLL-coated beads do not recruit cytoskeletal proteins to the site of attachment. Thus, PLL-coated beads probe primarily cortical cytoskeletal structures.
Experimental protocols
Cells were trypsinized (0.25% trypsin and 1 mM EDTA; Sigma) and plated at 104 cells/well on uncoated glass bottom wells (MatTek, Ashland, MA). FIL+ and FIL cells were plated for 2.5 and 3.5 h, respectively, to insure the cells contained equal amounts of polymerized actin (4
). After plating, cells were washed twice with media, and either RGD- or PLL-coated beads were added to the media for 20 min at 37°C to allow binding to receptors on the cell surface. The wells were washed twice with media to remove unbound beads. The final concentration of beads was approximately one per cell. Finally, rheological measurements were performed or spontaneous nanoscale motions (SNM) were monitored as described below.
Magnetic twisting cytometry with optical detection (OMTC)
The experimental setup for OMTC measurements was described in detail elsewhere (22
,23
). Briefly, glass-bottom wells containing cells with attached beads were placed on the stage of an inverted microscope (Leica Model #DM IRBE, Leica Microsystems, Wetzlar, Germany) and viewed under bright-field with 20x objective (NA = 0.4). Beads were first magnetized horizontally and then subjected to a vertical oscillatory magnetic field. This oscillatory field induces a mechanical torque T(t) that twists the bead toward the imposed field. The beads undergo a measurable lateral displacement in addition to a small rotation. The bead motions were tracked through images captured by CCD camera (Model #JAI CV-M10, JAI PULNiX, San Jose, CA) with exposure time of 0.1 ms and acquisition frequency of 12 Hz. From recorded images, the bead position r(t) was computed using an intensity-weighted center-of-mass algorithm yielding accuracy in r(t) >5 nm (22
). Measurements were performed at oscillatory frequencies between 101 and 103 Hz with heterodyning employed at twisting frequencies above 0.7 Hz.
Complex elastic moduli g* of the cells were computed from the magnetic torque T(t) and corresponding lateral bead motion r(t) as described (22
), using
![]() | (1) |
= 6.8 µm determined using a finite element model (24
Beads were selected for analysis based on several criteria. Only individual beads attached to the apical surface of a cell were analyzed. As described previously (22
), beads were included for further analysis, provided the amplitude of their motion (
20 nm) appreciably exceeded the system noise level, the motion resembled a sinusoidal waveform, and higher harmonics (nonlinearities) were not present. Beads were also discarded if they produced an unrealistic modulus measurement (e.g., a nonpositive g') even at only a single frequency. Typically 6075% of the beads meet these criteria, although the exact number depended on the cell type and bead coating.
Spontaneous nanoscale motions (SNM)
To complement the rheological measurements on FIL+ and FIL cells, the spontaneous motion of beads tightly bound to the cytoskeleton were tracked under the conditions of no external forcing. Beads cannot move unless the underlying cytoskeletal structures to which the bead is connected rearrange and remodel. Thus, SNMs report cytoskeletal remodeling (26
,27
).
The SNMs of RGD- or PLL-coated beads were observed under bright-field with a 40x objective (NA = 0.55). Bead positions were computed from images captured at 12 frames/s as described for OMTC measurements. Each bead was tracked for 341 s through 4096 images. The SNM were quantified by calculating the mean-square bead displacement (MSD) as
![]() | (2) |
t is the time lag between observations, and
.
denotes an average over many starting times t over the time course of observation. To account for the contribution of stage drift and system noise to the MSD measurements, the SNMs of beads immobilized in epoxy were measured. The contribution to MSD of the cell was computed by subtracting the average MSD of beads in epoxy from the average MSD of beads on cells.
Effective cytoskeletal temperature
We have proposed recently that cytoskeletal dynamics may fit within the framework of molecular trapping in deep energy wells and molecular hopping out of those wells driven by an effective matrix temperature (23
,25
,26
,28
). This framework is simple, attractive, and fits all published observations. The effective cytoskeletal temperature x is experimentally accessible and has been shown recently to be a major factor controlling the rate of molecular-scale cytoskeletal rearrangements (26
). The effective cytoskeletal temperature of FIL+ and FIL cells was computed from the slope of the linear regression through the log G' versus log f data.
Statistics
The computed dynamic moduli at each frequency were log-normally distributed. To test for statistical differences in G' and G'' distributions between FIL+ and FIL cells, we computed the logarithm of the data and compared the mean values by Student's t-test. The mean values of MSD at each time lag and effective cytoskeletal temperature between cell types were compared by Student's t-test. In all cases, probability values <0.05 were considered significantly different.
| RESULTS |
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10 Hz (Fig. 3 B) before increasing rapidly at higher frequencies as the viscous contribution to G'' became dominant. The frequency dependence of G' and G'' observed in FIL+ and FIL cells probed by RGD-coated beads is qualitatively similar to those measured in a variety of other cell types (25
|
25%, except at f = 100 and 300 Hz, where the values were not different (Fig. 3 A). The median G'' of FIL+ cells exceeded FIL cells at f = 0.1 Hz, whereas the opposite was true for f above 100 Hz where G'' of FIL cells exceeded FIL+ cells. Little qualitative change was seen in the frequency dependence of G' and G'' in FIL+ compared to FIL cells.
When we probed the cell using beads coated with PLL, as opposed to RGD, the moduli measured were substantially smaller, typically by threefold, but otherwise results were much the same. The storage modulus G' increased as a power law of f (Fig. 4 A), and G'' varied little with f below
10 Hz, before increasing more rapidly at higher f (Fig. 4 B). No difference between G' of FIL+ and FIL cells was observed, except between f = 30 and 300 Hz where, surprisingly, G' of FIL cells exceeded that of FIL+ cells. The loss modulus of FIL cells systematically exceeded FIL+ cells for f at frequencies in excess of 0.7 Hz.
|
t (i.e., the local logarithmic slope of
r(t)2
vs.
t was <1) and superdiffusive behavior at large
t (i.e., the local logarithmic slope was >1) (Fig. 5). Subdiffusive behavior at small
t and superdiffusive behavior at large
t is consistent with the MSD of surface-bound beads from other cell lines (26
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| DISCUSSION |
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These rheological measurements from FIL+ and FIL cells stand in contrast to the behavior of unstressed purified actin filament networks where filamin crosslinking dramatically increases elastic moduli and changes the rheological properties from a viscoelastic fluid to an elastic solid. The molar ratios of actin to filamin in FIL+ and FIL cells is
160:1 and
1000:1, respectively (3
). In reconstituted actin-filamin gels at these molar ratios, the stiffness of the FIL+ gel is greater than the FIL gel by 3.5-fold at higher frequencies (2 Hz) and 10-fold at lower frequencies (0.1 Hz) (11
), and the frequency dependence from 0.01 to 2 Hz of the FIL+ gel is smaller (11
).
What factors might account for the limited mechanical differences between FIL+ and FIL cells? The first possibility to consider is methodological; the effect of filamin may not be exerted on the length scale of the probe used here. Although filamin is widely distributed in the cell (17
,30
), it is primarily located in the cortical cytoskeleton (15
) where it provides mechanical support to the membrane (4
). Our magnetic beads (4.5 µm-diameter) are large compared to the thickness of this filamin-containing cortical layer. Although we used either RGD- or PLL-coated beads to emphasize deeper versus cortical cytoskeletal structures, respectively, the size of our beads may limit our ability to probe only the thin cortical region where filamin is thought to play its major mechanical role. Thus, our measurements may reveal little mechanical effect of filamin because they do not probe regions of the cell where filamin is most important. Nonetheless, the findings of small rheological differences in FIL+ versus FIL cells at the scale probed here are consistent with the small differences detected using other mechanical assays; the force required to pull a membrane tether out of FIL+ cells is only
10% higher than FIL cells (31
), and cytoskeletal reinforcement of collagen-coated beads is greater in FIL+ than FIL cells, but other measures (MSD) show no differences (32
).
The second possibility to consider is that crosslinking by other filamin isoforms or other actin-binding proteins might account for the small mechanical differences in FIL+ and FIL cells. Overexpression of hsFLNb may compensate for missing hsFLNa in living cells (33
). Even the actin-associated proteins whose level of expression was unchanged by hsFLNa transfection (3
) may compensate for missing hsFLNa if their actin-binding activity in FIL cells is altered. Yet, the FIL cells continue blebbing, suggesting that hsFLNa is not completely compensated for by other cytoskeletal or actin-binding proteins.
The third possibility is that crosslinking of actin by filamin may not be a primary determinant of cell shape stability and rheology. Until these cells are profiled genetically or proteomically, it remains unknown what other important cytoskeletal proteins might differ between the cell lines. Another possibility is that cell shape stability and rheology is determined by cytoskeletal prestress (14
,34
). In our measurements, FIL+ and FIL cells are adherent and their cytoskeletal prestress is born by the underlying substrate. When detached FIL+ and FIL cells are probed in the absence of prestress, their stiffness is low, and the stiffness of FIL+ cells is more than double that of the FIL cells (3
).
Further support for the importance of the prestress comes from recent in vitro measurements on actin-filamin gels (M. L. Gardel, F. Nakumara, J. H. Hartwig, J. C. Crocker, T. P. Stossel, and D. A. Weitz, unpublished data) showing that actin-filamin gels mimic the major rheological features of FIL+ and FIL cells reported here, but only if the gel is subjected to an appreciable prestress. Moreover, the stiffness of the prestressed actin-filamin gel is insensitive to filamin concentration. Taken together, these observations in living cells and inert gels are mutually consistent and mutually reinforcing.
Another interesting feature of the rheology of FIL+ and FIL cells is that they exhibit characteristics of soft glassy materials (25
,26
,35
,36
). A key concept from the theory of soft glassy rheology is that of an effective temperature, x. The effective temperature is indicative of the level of mechanical agitation in the stress-bearing elements of the cytoskeletal lattice and seems to play a major role in the rate of structural rearrangements (26
,35
). Moreover, as x varies between 1
x
2, the rheological properties of the material vary between that of a Hookean elastic solid and a Newtonian viscous fluid. Despite the remarkably similar rheological properties of FIL+ and FIL cells (Figs. 3 and 4), the mean value of x was higher in FIL than FIL+ cells when probed by either RGD- or PLL-coated beads (Fig. 6). This suggests that hsFLNa makes FIL+ cells more solidlike (x
1), but the difference was small. The finding that x is higher in the more mechanically agitated (blebbing) FIL cells than the more stable FIL+ cells is consistent with the notion that x reflects the level of mechanical agitation in stress-bearing elements.
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| CONCLUSIONS |
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| ACKNOWLEDGEMENTS |
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This work was supported by grant Nos. HL33009, HL59682, and HL65960.
| FOOTNOTES |
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Submitted on February 19, 2005; accepted for publication November 15, 2005.
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