Mechanical forces play critical roles in the function of living cells. However, the underlying mechanisms of how forces influence nuclear events remain elusive. Here, we show that chromatin deformation as well as force-induced transcription of a green fluorescent protein (GFP)-tagged bacterial-chromosome dihydrofolate reductase (DHFR) transgene can be visualized in a living cell by using three-dimensional magnetic twisting cytometry to apply local stresses on the cell surface via an Arg-Gly-Asp-coated magnetic bead. Chromatin stretching depended on loading direction. DHFR transcription upregulation was sensitive to load direction and proportional to the magnitude of chromatin stretching. Disrupting filamentous actin or inhibiting actomyosin contraction abrogated or attenuated force-induced DHFR transcription, whereas activating endogenous contraction upregulated force-induced DHFR transcription. Our findings suggest that local stresses applied to integrins propagate from the tensed actin cytoskeleton to the LINC complex and then through lamina–chromatin interactions to directly stretch chromatin and upregulate transcription.
It is increasingly evident that both soluble growth factor-mediated chemical signalling and the physical microenvironment and niche-mediated mechanical signalling play critical roles in living cells and tissues1,2. Yet we still know relatively little about how mechanotransduction actually regulates gene expression, protein synthesis, and other vital biological functions. One major challenge in understanding the role of mechanotransduction inside the nucleus is the intrinsic difficulty in separating direct force-induced changes in proteins and genes from intracellular biochemical cascades induced by force-induced conformational change or unfolding of proteins such as integrin, talin and vinculin at the cell surface3,4,5,6. From the findings of force-induced surface molecule activation and the presumed model that a local force induces only a local deformation, it is generally accepted that direct force impacts occur at the cell surface2, and that deep cytoplasmic or nuclear mechanotransduction occurs only via intermediate biochemical activities or regulatory proteins in the cytoplasm/nucleus. One example of such a biochemical pathway connecting cell surface deformation with nuclear biochemical signalling is the discovery of the matrix rigidity responsive element YAP/TAZ as a cytoplasmic mechanotransducer which translocates to the nucleus to regulate differentiation and proliferation7.
However, the activation of Src molecules on the endosomal membrane deep inside the cytoplasm ∼100–300 ms after applying a local force via integrins demonstrates how a local force can generate a long-distance deformation impact in a living cell8. Subsequent work examining activation of a different enzyme, Rac1, demonstrated that the activation of Rac1 by force is rapid (<300 ms), direct (no intermediate biochemical activities), long-distance (can be activated on the other side of the cell from the point of a local force), and does not depend on prior Src activation9. In sharp contrast, platelet-derived-growth-factor (PDGF)-induced Rac activation depends on the activation of the upstream molecule Src10. In addition, a recent report has provided experimental evidence that the coilin–SMN protein complexes in a sub-nuclear structure, the Cajal body, can be directly dissociated by force (of physiologic magnitudes) applied via integrins at the cell surface11, extending published reports that external forces alter mechanical and biological responses in the nucleus12,13,14,15,16. More recent work has shown that Lamin A/C, a protein network that connects the LINC (linker of nucleoskeleton and cytoskeleton) complex with chromatin, is a mechanosensor, responds to tissue stiffness, and regulates differentiation17. Lamin A/C also regulates translocation and signalling of a mechanosensitive transcription factor18. In addition, chromatin decondensation is shown to depend on the degree of cell spreading, cell shape, and cytoskeletal contractility19. Applying force directly on an isolated nucleus through nesprin-1 phosphorylates inner nuclear membrane protein emerin and stiffens the nucleus20, suggesting that forces might have a direct effect on nuclear structure and function. Together, these reports suggest that it may be possible to directly alter the condensation status of the chromatin by local forces applied via integrins. However, evidence that a cell surface force can have a direct impact on chromatin structures is still lacking. Complicating the issue is the fact that chromosomes are stiff structures with Young’s moduli ranging from ∼300 Pa (ref. 21) in isolated chromosomes to 1–5 kPa in living cells22. Hence, it is not clear that interphase chromatin can be stretched by local surface forces of physiologic magnitudes, even given the previously observed deformation of other intranuclear structures such as Cajal bodies11 or nucleoli13. Furthermore, even if chromatin could be decondensed or deformed by a surface force, it remains unclear if the force would alter gene expression. Previous work has demonstrated that tethering an acidic peptide to chromatin both decondenses large-scale chromatin structure and relocates chromosome loci towards the centre of the nucleus without necessarily changing transcription23,24,25. Here we set out to test the hypothesis that a local surface force of physiologic magnitudes can directly stretch the chromatin and induce transcription upregulation in a living cell.
A strategy to visualize live cell chromatin stretching
We used a CHO (Chinese hamster ovary) DG44 cell line containing a multi-copy insertion of a bacterial artificial chromosome (BAC) with an ∼180 kb mouse genomic insert containing the ∼34 kb DHFR gene. The cell clone DHFR D10 stably expresses EGFP-dimer lac repressor (GFP-LacI), enabling visualization of the DHFR BAC, tagged with a 256-mer lac operator repeat (∼10 kb) (Fig. 1a; ref. 26). DHFR reduces dihydrofolate to tetrahydrofolate, and is an essential enzyme for synthesizing thymidine. To allow for detection of local movements between chromatin regions, we used a cell clone that has multiple BAC copies in the same single chromatin without any intervening CHO genomic DNA26; therefore, the relative movement of multiple GFP spots (∼2–7) allows visualization of the relative motion of DHFR BAC chromatin26 (Fig. 1a, b, see Methods).
To apply a local shear stress via integrins, we employed the technique of three-dimensional magnetic twisting cytometry (3D-MTC), which uses a magnetic bead (∼4 μm in diameter), coated with saturating amounts of Arg-Gly-Asp (RGD) peptides27 (Fig. 1c, d; see Methods). To apply stresses to a focal adhesion on the cell surface in any specified direction, we first magnetized the magnetic bead along the Z-axis with a strong magnetic pulse (∼2,500 G for ∼0.1 ms) and then turned on the weak magnetic field along the X-axis, Y -axis, or X- and Y -axis simultaneously to rotate the bead towards those directions (Fig. 1d). We used a strategy of combining different magnitudes of the twisting fields along X- or/and Y -axis such that the peak magnitude of the rotational shear stress on the bead (and to the cell surface) was constant while the stress angle θ along the long axis of the cell was varied (Fig. 1e). Using this strategy, we were able to apply local sinusoidal shear stresses of a constant peak magnitude to the cell surface via integrins in any desired direction.
For the constant peak stress magnitude of 15 Pa at 0.3 Hz, the bead displacement was much greater when the bead was displaced at 90° compared to at 0° (relative to the long axis of the cell) (Fig. 1f), with the shear stresses at an acute angle of 45° generating intermediate bead displacements. As the peak stress amplitude was constant at 15 Pa, the computed cell stiffness was ∼200 Pa at 0° stress angle, twice as much as that at 90° (Fig. 1g). Altering the sequence of the stress angles (for example, 0° first or 90° first) did not affect the value of the cell stiffness probed at a particular stress angle (Supplementary Fig. 1a), suggesting that cell stiffening as a function of force duration was minimal in these CHO cells. These elongated cells exhibit extensive prestressed actin bundles (stress fibres) along the long axis of the cell (Supplementary Fig. 1b). Together with previously published findings that mechanical anisotropy of the cell disappears when cytoskeletal tension is inhibited or filamentous actin (F-actin) is disrupted27, these results suggest that prestressed actin bundles are an important contributor to mechanical anisotropy, and thus the stiffness of the cell.
Chromatin stretching depends on force directionality
First we measured movements of two GFP spots under a cyclic stress and found that the distance between them increased as a function of the stress cycle (Fig. 1h, i). Then we measured stress-induced displacements of individual GFP spots along the BAC insertions with a constant peak stress amplitude and with varying stress angles of 0°, 45° and 90° (Supplementary Fig. 2a–c). All three GFP spots in the same chromatin were displaced synchronously with the bead displacement with phase lags (Supplementary Fig. 2a–c), indicating the viscoelastic features of the cytoplasm and the nucleus. To better visualize the dependence of GFP spot displacement on stress angles, we quantified mean squared displacement (MSD) of each GFP spot as a function of stress angles. Each GFP spot exhibited highest MSDs when the stress was applied transverse across the long axis (at 90°), followed by MSD amplitudes at 45° (diagonally) and at 0° (along the long axis) (Fig. 2a–d), showing a strong dependence on stress angles. Since the increase of distance (Δdisplacement) between any two GFP spots is a measure of the extent of chromatin stretching, we quantified Δdisplacement as a function of stress angles. Interestingly, chromatin stretching at 90° is >3-fold larger than at 0° (Fig. 2e). Since cell stiffness at 90° was half of that at 0° (see Fig. 1g), these data suggest that, for a given applied stress, chromatin stretching is inversely proportional to cell stiffness. Dividing Δdisplacement by the original distance between GPF spots is a measure of % stretching; ‘apparent’ chromatin stretching increased from 5% to ∼18% when stress angles varied from 0° to 90° (Fig. 2f). Although the applied stress was applied along a particular direction on the cell surface, the resulting strains inside the nucleus could be complex. Using a published method13 to compute local chromatin strains from local chromatin GFP displacements, we found that both tensile strains and shear strains were stress-angle dependent, but tensile strains in the chromatin were ∼2.5 times shear strains (Supplementary Fig. 3), suggesting that dilatational strains are the dominant mode of deformation in the chromatin. The differences between tensile strains and shear strains in the chromatin and their dependence on stress angles were supported by data from strain maps of the whole nucleus using histone 2B-green fluorescent protein (H2B-GFP) as a chromatin marker (Supplementary Figs 4 and 5): peak bulk strain (both tensile and compressive strains) was ∼4 times peak shear strain and both were stress-angle dependent, suggesting that a local surface stress of physiologic magnitudes could directly stretch chromatins and that BAC insertion did not cause any abnormal mechanical responses from the chromatin. Together, these results suggest that chromatin stretching is strongly dependent on how much the applied stress is propagated through the cell to extend the chromatin.
Transcription upregulation by chromatin stretching
To determine if stress-induced chromatin stretching results in changes in gene expression, we used RNA fluorescence in situ hybridization (FISH) to quantify force-induced gene expression at the location of transgene insertions, using Cy3-conjugated mixed probes to detect DHFR mRNA expression after stress application of 17.5 Pa at 0.3 Hz for 1 h (Fig. 3a). DHFR gene expression always occurred at sites near the GFP spots (Fig. 3b). Since DHFR transcription could be quantified only in a fixed cell with FISH, a stress of 17.5 Pa at 0.3 Hz was applied to any given cell only once. The summarized results showed the strong positive dependence of DHFR gene expression on stress angles from 0° to 90° (Fig. 3c). Applying the stress nonspecifically with a poly-L-lysine (PLL)-coated magnetic bead induced no stress-angle-dependent bead displacements and no stress-angle-dependent chromatin displacements (Supplementary Fig. 6), possibly because the PLL-bead did not directly attach to a focal adhesion and actin bundles. The PLL-bead at an 8.8-Pa or a 17.5-Pa stress resulted in only a 25% or a 50% increase in transcription, respectively, over the stress-free control cells, much less than the ∼70% or the ∼100% increase over the control observed for the RGD-coated bead at the same stresses (Fig. 3d), consistent with the data that no mechanical anisotropy was probed with the PLL-bead (Supplementary Fig. 6). However, treating the cells with Latrunculin A to disrupt F-actin completely blocked stress-induced transcription via the PLL-bead (Fig. 3d), suggesting that although the PLL-bead was not directly attached to the actin bundles, applied forces were able to propagate to the chromatin via F-actin, albeit much less effectively than those with the RGD-beads via the integrin receptors and actin bundles. These data indicate that transcription upregulation depends on stress amplitudes, and thus is chromatin-stretching-dependent, further supported by the data that chromatin stretching was stress-amplitude dependent (Supplementary Fig. 7).
DHFR transcription upregulation also depended on duration of the stress application (Fig. 3e). Because it takes ∼10 min for complete transcription of one DHFR transcript (34 kb at ∼50 bp s−1)28, it is reasonable that transcription continued to increase from 15 min to 30 min after stress application (Fig. 3e). To determine more precisely when the first transcripts were synthesized after stress application, we synthesized fluorescently labelled 5′-end-probes that specifically bind to the first ∼1,700 bps of the DHFR transcript (see Methods). We find that transcription upregulation was detected as early as 2 min after stress application, and reached a plateau 6 min after stressing (Fig. 4a). In sharp contrast, when fluorescently labelled 3′-end-probes that specifically bind to the last ∼2,000 bps of the DHFR transcript were used, transcription upregulation was detected only as late as 10 min after stress application, and reached a plateau at 20 min (Fig. 4b). Since the transcription rate is ∼50 bps s−1, we reasoned that it was possible to detect the transcription events even earlier than 2 min using the 5′-end-probes as long as the number of the mRNA-bound probes was sufficient for the fluorescence to be quantified above the baseline. We indeed found that upregulation in DHFR transcription was detected as early as 15 s after stress application when compared with the time-course controls (Fig. 4c). Remarkably, stress angles at the same stress magnitude impacted transcription as early as 15 s, with angles of 60°–90° inducing higher upregulation than angles of 0°–30° (Fig. 4d). In addition, we estimated the number of 5′-probes bound to the transcribed region within 15 s. At 15 s, ∼750 bps (at 50 bps s−1) of DHFR genomic DNA were transcribed, which included sequences that complementarily matched the sequences of the first 11 oligonucleotides of the 5′-probes, ∼1/4 of the total number of forty-three 5′-probes (see Methods). Interestingly, the upregulated DHFR transcription at 15 s was ∼13% above baseline, which was also ∼1/4 of the upregulated signals of DHFR detected using all the 5′-probes at 10 min (comparing Fig. 4c with Fig. 4a), Therefore, the detected DHFR transcripts signals at various times after stress application are consistent with the fraction of the number of mRNA-bound 5′-probes and the estimated speed of transcription. To further explore the possibility of recruiting transcription machinery to the GFP spots before transcription upregulation, we quantified RNA Polymerase (Poly) II binding to the BAC GFP spots 5 s after stress application. There was a stress-angle-dependent increase in RNA Poly II binding near the GFP spots (Supplementary Fig. 8), suggesting that RNA Poly II binding to GFP spots are chromatin-stretch-dependent and that the transcription machinery is active and ready to access the force-unfolded chromatin to initiate DHFR transcription. Together, these results strongly suggest that transcription processes started along the chromatin as soon as the force was applied on the cell surface to stretch the chromatin, without delay in transcription initiation, excluding the possibility of a major role by the relay cascades in nuclear gene transcription.
We found that applying forces resulted in the same percentage increase of DHFR transcription in serum-deprived cells as in those cells cultured in serum (Supplementary Fig. 9), suggesting that additional soluble factors in serum may not be necessary for force-induced gene upregulation. To further determine whether it is the extent of chromatin stretching or the total mechanical energy for a given time (mechanical power) that dictates gene transcription, we varied the forcing frequency. Elevating the mechanical power by a factor of three via a threefold increase in frequency from 0.3 Hz to 1.0 Hz did not alter the amplitude of chromatin stretching (Supplementary Fig. 10) or the ensuing DHFR transcriptional increase in the cell (Supplementary Fig. 11), supporting the critical role of chromatin stretching in gene transcription. The strong dependencies of DHFR gene expression on stress angles, ligand specificity (integrin-specific versus nonspecific), stress amplitude, and stress duration all suggest that it is the degree of local chromatin stretching that leads to the local elevated DHFR transcription in the living cell.
Structural basis for force transfer from LINC to chromatin
Previously published works have shown that a matrix force is propagated to the nucleus via mechanical coupling from integrins to focal adhesion proteins to the cytoskeleton, and then into the nucleus through coupling with the LINC (linker of nucleoskeleton and cytoskeleton) complex including nesprins and SUN proteins, to nuclear lamins (Lamin A and Lamin B) and then to chromatin (reviewed in ref. 29). However, precisely how chromatin is physically connected to the lamins is unclear. We chose candidate proteins emerin, BAF and HP1, known to directly bind to chromatin and lamins. To determine if any of these proteins play significant roles in physically linking chromatin to the nuclear periphery, we specifically silenced these proteins one by one and quantified the spontaneous movements of chromatin.
We hypothesized that chromatin spontaneous movements should increase if the knocked-down protein is tethering the chromatin directly or indirectly to the nuclear lamina or other nuclear structures. Silencing Lmnb1 and Lmnb2 (genes expressing Lamin B protein) simultaneously led to an increase of spontaneous movements of the chromatin (Fig. 5a), consistent with a report that Lamin B is an elastic component of the nuclear lamina17. Silencing Lmna (gene expressing Lamin A protein) led to elevation of spontaneous movements of the chromatin (Fig. 5a), in accord with published reports that Lamin A is critical for nuclear mechanics and tissue differentiation14,15,16. Moreover, silencing Emd (gene expressing emerin protein) led to increases of spontaneous movements, consistent with a published report that emerin plays a role in stiffening the nucleus20. Interestingly, silencing cbx5 and cbx1 (genes expressing heterochromatin protein 1 (HP1) α and β) or Banf1 (gene expressing BAF protein) with siRNA led to significant elevation of chromatin spontaneous movements (Fig. 5a; Supplementary Fig. 12a), suggesting that both HP1 and BAF proteins might physically tether the chromatin with the nuclear lamins and/or other nuclear structures, and knocking down either protein would lead to increased chromatin mobility. As expected, knocking down SUN1 and SUN2 (SUN1/2) simultaneously increased chromatin spontaneous movements (Fig. 5a; Supplementary Fig. 12a), since both are known to mediate physical signals to the nuclear lamina. Knocking down Lamin B receptor (LBR) had no effects on chromatin spontaneous movements (Fig. 5a; Supplementary Fig. 12a), suggesting that LBR is not important in tethering the chromatin to the nuclear lamina. Importantly, knocking down cbx5/1 or Banf1 resulted in downregulation of stress-induced chromatin deformation, similar to those from silencing Lamin A, Lamin B, emerin, or SUN1/2, whereas silencing LBR had no effects (Fig. 5b, Supplementary Fig. 12b), suggesting that both HP1 and BAF play significant roles in mediating stress propagation from the LINC to the chromatin. Consistent with the results of the dependence on those nuclear proteins for force propagation, force-induced DHFR transcription upregulation was abolished when individual nuclear proteins were depleted except for LBR (Fig. 5c; Supplementary Fig. 12c), establishing the structural basis from the nuclear envelope to the chromatin for chromatin-stretch-dependent DHFR gene upregulation.
If the physical link between the matrix proteins and the chromatin is important in propagating matrix forces to deform the chromatin, we hypothesized that myosin II would be important in tensing the actin bundles and transmitting endogenous forces to decondense the chromatin and influence the ensuing gene expression. Treating the cells with a ROCK inhibitor (Y-27632, 20 μM for 30 min) significantly decreased chromatin contour lengths and the number of GFP spots, while treating the cells with lysophosphatidic acid (LPA, 2 μg ml−1 for 1 h) to activate RhoA significantly increased chromatin contour lengths and the number of GFP spots (Fig. 5d). Furthermore, the ROCK inhibitor attenuated (∼25% reduction) stress-induced DHFR upregulation, while activating RhoA significantly increased (∼50% elevation) stress-induced DHFR transcription (Fig. 5e). Consistently, in the absence of external stresses, inhibiting ROCK with Y-27632 or F-actin with Latrunculin A downregulated endogenous DHFR transcription, while treatment with LPA upregulated endogenous DHFR transcription (Supplementary Fig. 13a). In addition, inhibiting myosin light chain kinase with treatment of ML7, which causes a 50% decrease in cell-matrix tractions30, led to downregulation of chromatin contour lengths and the number of GFP spots (Supplementary Fig. 13b), suggesting chromatin became more condensed; in addition, DHFR gene expression was decreased by 25% after ML7 treatment (Supplementary Fig. 13c). Together, these data suggest that cytoskeletal tension was important in propagating the applied forces to the chromatin to upregulate transcription. However, we cannot exclude the alternative possibility that chromatin decondensation contributes to stress propagation through flanking chromatin to the internally located DHFR transgene chromatin. Consistently, we found that increasing matrix rigidity (and thus elevating endogenous active tension and cell-matrix tractions31,32) increased the number of GFP spots and contour lengths (Supplementary Fig. 14a, b), and upregulated DHFR gene expression (Supplementary Fig. 14c). Together, these results reveal that both exogenous and endogenous forces can induce DHFR expression via chromatin stretching.
Previously, movement of genes from the nuclear periphery to interior has been correlated with gene activation of previously silent genes25. We find that there is no change in chromatin GFP spot location associated with stress application, suggesting that there is no gene relocation in response to force in these CHO cells (Supplementary Fig. 15). The DHFR BAC transgenes in these CHO cells could already be partially active, since they located 2–2.5 μm away from the nuclear periphery (Supplementary Fig. 15) before force application. Therefore, the observed increase in transcription with force application is not related to a change in nuclear position, but rather to chromatin stretching.
A recent report on isolated nuclei20 has shown that emerin can be phosphorylated by a force of ∼30 pN applied directly to nesprins, and the stiffness of the isolated nucleus is ∼0.6 Pa. Since chromosomes of a living cell have a stiffness of 1–5 kPa (ref. 22) and isolated chromosomes have a stiffness of ∼300 Pa (ref. 21), about three orders of magnitude higher than the 0.6 Pa in this report, it is likely that the 30 pN force applied to the isolated nuclei deformed only the nuclear envelope and not the underlying chromatins. Whatever the reasons for this large discrepancy between the stiffness of isolated nuclei versus chromosomes in living cells, this significant discrepancy suggests that isolated nuclei are not a good model system for dissecting how external forces might signal to chromatin in the nuclear interior.
At present there are several models explaining how mechanotransduction can lead to changes in nuclear functions. Evidence of direct unfolding of integrins and focal adhesion proteins, and the ensuing mechanical–chemical signalling, support the model of cascade signalling2. The discovery of cytoplasmic YAP/TAZ and their nuclear translocation supports the model of relay in cytoplasmic and nuclear mechanotransduction and differentiation7. Long-term application of tension to suppress protein degradation (for example, structural proteins myosin II, collagen-1, and lamin A) prompts the new force-inhibited protein degradation model33. Our discovery of a direct chromatin stretching and ensuing gene expression complements these models.
The extent of the chromatin stretching appears to be critical in determining the magnitude of DHFR transcription upregulation: for the same amplitude of stress, the more the chromatin is stretched, the higher the transcription upregulation. Even when the stress is applied nonspecifically, via a PLL-bead, DHFR transcription can still be elevated as long as the chromatin is stretched. However, elevation of transcription via a PLL-bead is much less than via a RGD-bead for the same stress amplitude, which correlates with a reduced chromatin stretching produced using the PLL-bead. These results suggest that activation of focal adhesion proteins via integrins, and the ensuing signalling cascades, may not be required for the upregulation of DHFR under stress, as the PLL-bead bypasses integrin binding and downstream signalling events. It is therefore difficult to interpret the PLL-bead induced activation of DHFR transcription result using the focal adhesion activation and ensuing signalling cascade model2. However, we cannot rule out the possibility that a few integrins and cytoplasmic molecules at the contact area between the PLL-bead and the plasma membrane might contribute to the transcription upregulation.
Our detection of stress-angle-dependent DHFR 5′-end transcripts as early as 15 s after stress application is not easily explained by either the YAP/TAZ translocation model7 or by the protein degradation inhibition model33, both of which would take too long (∼hours) to have any impact. Moreover, the strong dependence of DHFR transcription on stress angles excludes models involving diffusion-mediated processes triggered by a force threshold, since the peak force (stress) amplitude is constant when the stress angles are varied.
We speculate that transient chromatin stretching of ∼20–100 nm can open sufficient space to decondense the chromatin for increased accessibility of the transcriptional machinery transcription, leading to an increased rate of DHFR transcriptional initiation. It is noted that DHFR transcripts after completion of transcription will move/diffuse away from the GFP spots (BAC transgene); therefore, what we measure 1 h after stress application could be an underestimate of the actual number of stress-induced new transcripts. However, assuming a constant probability of transport of newly synthesized messages away from the transcription site, at steady state the size of the accumulated transcript pool adjacent to the transgenes should be proportional to the rate of transcription. We acknowledge that we have examined only a chromatin-stretch-dependent DHFR transgene upregulation in the current study; however, previous work has shown that these DHFR BAC transgenes exhibit ∼50% of the expression levels of the endogenous DHFR gene28, suggesting that the transgene is physiologically relevant. It remains to be seen if other genes can also be upregulated by direct chromatin stretching, and if our current findings can be extended to other cell types, but it is remarkable that a house-keeping gene such as DHFR can respond to direct chromatin stretching, suggesting the potential generality of gene activation by force-induced direct chromatin stretching. It is likely that the DHFR transgene may be already active at baseline and molecules are ready to be recruited (for example, RNA Poly II is active and ready to be recruited (Supplementary Fig. 8)); or the transgene site presumably has a partially open configuration and is located in the nuclear interior (Supplementary Fig. 15). It is possible that some endogenous genes that are not active at all may not be able to be activated by an applied force alone. This may be the reason why, when an external force (either a stretching force or a shear force) is applied, only some genes are activated while other genes are not. However, we have found that DHFR transcription could still be elevated by force after serum deprivation, which is known to condense the chromatin and decrease DHFR gene expression26, suggesting that the applied force is potent enough to decondense the chromatin to elevate DHFR transcription in serum-deprived CHO cells. One possible interpretation of our current findings is that the DHFR gene, due to the BAC insertion, might be uniquely sensitive to this increase in transcription driven by mechanical forces. To test this possibility, we applied forces to these CHO cells and assayed a known mechanosensitive endogenous gene (egr-1, early growth response gene 1) expression34 under identical culture and mechanical conditions as the DHFR gene. We found that egr-1 gene is upregulated by >14-fold at 17.5 Pa at 0.3 Hz for 1 h (Supplementary Fig. 16), much more than DHFR (∼2-fold) under the same culture and stress conditions, suggesting that the DHFR gene is not particularly sensitive to the increase in transcription driven by mechanical forces. Since we have not been able to insert multiple fluorescent tags to the same chromatin that are near the egr-1 gene, because it is a non-trivial task, we cannot say definitively that this gene upregulation is chromatin-stretch-dependent. However, since the H2B-GFP mapping of the BAC CHO cells shows that the magnitudes of peak tensile strains of H2B are similar to what is observed with the BAC GFP spots under similar stress conditions, these findings suggest that egr-1 upregulation by the magnetic bead stress might be at least partially due to local stretching of the chromatin segment that contains egr-1 gene. It would be important to note that DHFR is used here as a model system to demonstrate that mechanical coupling of forces from the outside of the cell to the inside of the nucleus has the potential to directly activate gene expression. There is an advantage of this type of experimental design, because it is unlikely that there would exist a biochemical signalling pathway to activate DHFR expression in the presence of force. Thus, using DHFR is another argument supporting our conclusion that the observed increased expression of DHFR in response to stress is due to mechanical force transduction. We envision that known mechanically responsive genes may have evolved mechanisms such that they are much more sensitive to force than other genes. The increased response of egr-1 to force suggests that this might be the case. In the future it would be interesting to determine if our conclusion that the extent of chromatin stretching is critical in determining the level of DHFR transcription applies to many other genes that are being actively transcribed. It is also of interest that the loading in this study is symmetric, and thus transient compression is also induced in the chromatin GFP spots; it is not clear why these stretching and compressing impacts do not cancel each other. One possibility is the on- and off-rates and kinetics of molecular binding are different, such that transient compressing does not cancel transient stretching effects. The exact mechanisms need to be explored in the future. Nevertheless, our current findings, together with the reports on the established physical linkage from the extracellular matrix (ECM) to the nucleus and the role of tensed actin bundles in long-distance force propagation29, support the model of a direct force impact on flanking chromatin to induce DHFR gene transcription at the nuclear interior (Fig. 6). The proposed various models for how mechanotransduction of forces alters nuclear functions are not mutually exclusive. We suspect that their relative contributions vary at various timescales. It is remarkable, however, that stress angles have such a huge impact on the extent of chromatin direct stretching and the ensuing DHFR transcription upregulation. Since a living adherent cell interacts with its ECM via many adhesion sites (for example, multiple focal adhesions) and with its neighbouring cells via cell–cell adhesion molecules such as cadherins, it will be interesting to find out how forces from various sites of surface contacts intersect in the nucleus to cause local chromatin stretching, shearing, or compression to activate or repress transcription. In the future it will also be critical to understand how directional forces are integrated with signals from soluble factors inside living cells and tissues to generate a coherent biological response to perturbation in the microenvironment.
Cell culture and reagents.
CHO DG44 cells containing DHFR BAC and stably expressing EGFP-LacI (DHFR BAC B9-2 cell line) were cultured in Ham’s F12 media without thymidine and hypoxanthine (Hyclone) with 10% dialysed fetal bovine serum (FBS) following procedures described previously26. Mouse DHFR gene were tagged with 256-mer Lac Operator (LacO) repeats and inserted into bacterial artificial chromosome (BAC). A stable cell line of DHFR D10 clone was generated by insertion of 10 copies of the BAC into the genome of Chinese hamster ovarian (CHO) cells26. EGFP-Lac Repressor (GFP-LacI) was stably expressed in these cells. High-affinity binding of GFP-LacI to LacO was used to visualize transgene insertions in chromatin. Because of the distribution of the GFP spots in the Z direction and the compact folding of some chromatin segments, for the same single chromatin in a CHO cell, one can count only 5–6 GFP spots with 2D epifluorescence and 7–8 GFP spots with 3D confocal microscopy, but one can count the full 10 GFP spots with 3D stimulated emission depletion (STED) nanoscopy (Supplementary Fig. 17). The BAC chromatin insertion was tandem and continuous, with no evidence of endogenous genomic DNA, confirmed by BAC DNA FISH26. For serum deprivation, cells were cultured in the same media with 0.2% dialysed FBS for 48 h before experiments. Murine melanoma cell line B16-F1 was obtained from American Type Culture Collection (ATCC). Cells were seeded on rigid plastic in DMEM supplemented with 10% fetal bovine serum (Invitrogen), 1 mM sodium pyruvate, 2 mM L-glutamine (Invitrogen), and 0.1 mM penicillin/streptomycin at 37 °C with 5% CO2. Cells were passaged every three days using TrypLE (Invitrogen). Cells were randomly allocated to various experimental groups. Y-27632 and lysophosphatidic acid and Latrunculin A were from Sigma. ML7 was purchased from Enzo Lifesciences. H2B-GFP was from Life Technologies (catalogue no., C10594) and transfected following protocols from the supplier. F-Actin was stained using Alexa Fluor 594-conjugated Phalloidin (Invitrogen, A12381). Antibodies for western blots: Cbx1 (catalogue no., 8676, Cell Signaling); Cbx5 (catalogue no., SAB2500209, Sigma); Lmna (catalogue no., SAB4200236, Sigma); Lmnb2 (catalogue no., MA1-06104, Thermo Fisher Scientific); Lmnb1 (catalogue no., 13435, Cell Signaling); Banf1 (catalogue no. NBP1-76751, Novus biological); Emd (catalogue no., NBP1-87692, Novus biological); SUN1 (catalogue no., H00023353-B01P, Novus biological); SUN2 (catalogue no., ab124916, Abcam); LBR (catalogue no., ab122919, Abcam). Anti-RNA polymerase II CTD repeat YSPTSPS (phosphor S5) antibody was from Abcam (catalogue no., ab5131).
The CHO DG44 cells used for derivation of BAC transgene array-containing subclones were received from the person who created them. These cells have a double knockout for DHFR, which was then used as selectable marker for the BAC transgene stable selection. The DHFR minus status of these cells was confirmed by the rescue of DHFR using a DHFR BAC transgene. The derivation of the DHFR D10 subclone was described and characterized previously26. The number of copies and nature of the BAC transgene array was observed directly by visualizing the GFP-lac repressor staining patterns of the cell line, thus authenticating the presence of the BAC transgene array in these cells. One of the most sensitive assays recommended for mycoplasma contamination is DAPI-staining and visual inspection by light microscopy. These cells are used for study of nuclear structure using light microscopy that routinely counter-stains with DAPI. Hence we are essentially continually monitoring these cells during the course of experiments for mycoplasma contamination.
3D magnetic twisting cytometry.
Three-dimensional magnetic twisting cytometry (3D-MTC) has been described in detail previously27. In brief, three pairs of coils aligned in X, Y and Z directions that could independently generate strong magnetizing fields (∼2,500 G, ∼0.1 ms) and weak oscillatory (sinusoidal) twisting fields (0–25 G); a magnetic field was converted to an applied stress knowing the magnetic moment of the bead (the bead constant, which was calibrated in a known viscosity standard) and the bead–cell contact area, which equalled 41 ± 1% (mean ± s.e.m.; n = 15 cells) at the beginning of the experiments (30 min after bead binding) and did not change at the end of the experiments (90 min after bead binding). 3D-MTC can generate rotational shear stresses (via rotational moments) in any defined direction. The 3D-MTC works by the principle of magnetizing a bead in one direction and then applying a twisting field in an orthogonal direction such that the bead rotates in the plane of these two directions (two axes). Since the bead is partially embedded, the bead not only rotates but also is pulled along the rotational direction (one analogy would be that it is somewhat like the tyres of a car that rotate and linearly translocate/displace). This is why we are able to quantify the displacement of the bead centre of mass to obtain cell stiffness as the bead rotates. It is known that focal adhesions generate out-of-plane rotational moments in addition to in-plane tractions35. As such, the magnetic bead twisting assay simulates the stresses generated at a focal adhesion and is biologically relevant. Stresses were applied at frequencies of 0.1, 0.3, or 1.0 Hz. Because two different batches of magnetic beads were used in two different labs in Urbana and in Wuhan (two 3D-MTC devices that were of the same design and field strength were used in the two labs), the magnetic moments were slightly different in these two batches of beads. As a result, at the same twisting field of 25 G in 3D-MTC, the peak stress amplitude was slightly different: 17.5 Pa for batch 1 and 15 Pa for batch 2. However, chromatin stretching and its dependence on stress angles were quantitatively reproducible in the two labs and the measured values were almost identical. The BAC chromatin generally is curved and is not taut or straight in the absence of external force; therefore, an increase in distance between two GFP spots indicates that the chromatin is more straightened, corresponding to an ‘apparent’ stretching of the chromatin molecule following the engineering definition of polymer deformation. The magnetic beads that were pre-coated with RGD peptide or poly-L-lysine (PLL) were incubated with the cells for 30 min to allow sufficient time for formation of focal adhesions8, or for formation of tight attachment to the surface of the cell for the case of PLL. The specificity for RGD-bead binding to integrins has been examined previously8. The magnetic beads were added at a low concentration such that there was only one bead per cell in sparsely plated cells. For the sake of straightforward calculation and analysis, those cells with more than one bead were ignored for the current study, which could be examined in future studies to simulate impacts of forces via multiple focal adhesions on the cell. The distances from the bead edge to the chromatin GFP spots were in general in the range of 2–5 μm. Within this 2–5 μm distance, because of long-distance force transmission8,11 in the elongated CHO cells that had numerous tensed actin bundles (stress fibres), the chromatin deformation did not vary much for the same magnitudes of stress at the same stress angles. When the distances were greater than ∼10 μm, chromatin deformation at 0° (relative to the cell long axis) stress angle was too low to be quantified at the 15-Pa applied stress. The cells in the same dish without a bead bound to their surface were used as control cells, as they were exposed to the same magnetic field and the same chemicals, but no mechanical forces. To apply a given peak rotational shear stress at various directions, sinusoidal oscillatory magnetic fields were applied with chosen peak amplitudes by applying appropriate peak currents to the magnetic coils in the X and Y directions after application of the strong magnetizing field in the Z direction.
Custom Stellaris FISH Probes were designed against DHFR mRNA (http://www.ncbi.nlm.nih.gov/nuccore/NM_010049.3) by using Stellaris RNA FISH probe Designer (Bioresearch Technologies Inc., Petaluma, CA). Cells were fixed in 3.7% paraformaldehyde and permeabilized in 70% ethanol for 8 hrs at 4 °C. Samples were hybridized with the DHFR Stellaris RNA FISH probe set labelled with Quasar 570 Dye (Bioresearch Technologies Inc.) following the manufacturer’s protocol and imaged in 2X SSC buffer immediately after hybridization. Please note that some of the early probes (for example, the mixed probes) used in the study were labelled with Cy3. Stellaris FISH Probes, 5′-end DHFR probes detect the first ∼1,700 bps (covering mRNA from bases 12 to 1,706) and 3′-end DHFR probes detect the last ∼2,000 bps (covering mRNA from bases 3,260 to 5,233) of the transcripts. The total length of mouse DHFR mRNA is 5,307 bps.
Mixed probes’ sequences.
gggtattctgggagaagttt, ctttcttctcgtagacttca, ttgcaaatacactgccagtc, gggaggcaaacggttctaag, ttaggaggggagcagagaac, aatgctctataccctcattt, cgcgcattctatttgtgtag, accttgttagattactggga, gcaagaaagcgctattgctt, gtcaagtttggcgcgaaatc, tagctcctacttttatgagc, tggatattggtggctttcag, gataaaatcctaccagcctt, gctctgctgtttaaaacctg, tgagtcactgagtcctacaa, gacgatgcagttcaatggtc, attttctgtctgagtgagca, tttctggtagaaggttcagc, agtacttgaactcgttcctg, ttacataatcttccacctgc, aagatggtgagactggcaca, gaagaggttgtggtcattct, cttgttctgtcactgtacta, tagctctgggagatgtcaac, ccataatcaccagattctgt, cagtagctattatgcttgct, ttttggcatgtatgaggtgt, aatggagaaccaggttttcc, ttctctgacctgatgatctg, acgacaatttccttgtgtct, tccggttgttcaataagtct, actaatttacaaggccaggc, gggttgtcaatgggaatctg, accatgtctactttacttgc, aacacaaactggctcacctg, cagtgtggaacatcgtgcaa, taaacagaactgcctccgac, acagcttccttctaagacag, tttatgttagcagcttggga, cacaaagagtctgaggtggc, ctctataccgtcttatgtca, gctatgattatcacccttac, caaattcctgcatgatcctt, caaatgtctgttaaccccag, gtctccttttcagtatacac, ttccccaaatcaatttctgg, ctgccagggttacaaacata, cctcgccttctaacacaaaa.
tctgcgggaagcctaagatc, gggaggcaaacggttctaag, ctcttctgcacactgcaatg, cgcgcattctatttgtgtag, catcctatttgtgcagctaa, catcctatttgtgcagctaa, gtcaagtttggcgcgaaatc, cagccttcacgctaggattg, gatggcagcggggataaaat, tgcagttcaatggtcgaacc, atattttgggacacggcgac, agtacttgaactcgttcctg, agaggttgtggtcattcttt, agattctgtttaccttccac, aggttttcctacccataatc, ggtcgattcttctcaggaat, agtcttaaggcatcatccaa, tgccaattccggttgttcaa, tccaaaccatgtctacttta, taaacagaactgcctccgac, ctggttgattcatggcttcc, ccttgtcacaaagagtctga, gtcactttcaaattcctgca, ttccccaaatcaatttctgg, gggtattctgggagaagttt, ctttcttctcgtagacttca, ttaggaggggagcagagaac, agtcccatggtcttataaaa, ctcatagatctaaagccagc, accttgttagattactggga, gacatttcttaaggcacttt, gcactgagacctttatagca, cacttgaggtctcatgggag, cacagtaccctgtgcatatg, tacatcactggggtctcttg, tacttttatgagcccacaca, ctttggacttacctgcctag, ctctgctgtttaaaacctgt, ttctttatagtctgagttcc, agctttgctgcaagtgtgat, gattttctgtctgagtgagc, ttacataatcttccacctgc, gcagacaatttcagtgtttc.
For the experiments where the stress was applied for 15 s, ∼750 bps were transcribed from genomic DNA of DHFR into mRNA. The first 750 bps of the sense sequence of the genomic DNA is found at (http://www.ncbi.nlm.nih.gov/nuccore/NC_000079.6?report=genbank&from= 92354783&to=92389053) and listed below: The underlined sequences complementarily match the sequences of the first 11 oligonucleotides (#5 and #6 have the same sequence) of the 5′-end-probes.
tcatgggctagctcagcag, acacaaactggctcacctg, gaccttagaggaaactgct, gcttccttctaagacaggt, cctctataccgtcttatgt, cccagatatggacgttcaa, gacaggagcaaatgtctgt, agcaccagggatccaaatc, actgccagggttacaaaca, agtctctcccataccacac, tggcttgcaaatacactgc, cacatccttttcaagtgct, ggctgtgacttaatagttt, atgctctataccctcattt, tgatgtgcaactgttctat, gaaagcgctattgctttat, tcaggttatgttcattgca, attctggatattggtggct, ctgagtcactgagtcctac, tgcattggccacttcaatt, tctggtagaaggttcagct, agatggtgagactggcaca, gctctgggagatgtcaaca, tgcgtgctgagcatagcat, ggtgttctcttggtcttat, gtctttcgttttggcatgt, tgtctagatttccagggtg, agccagacgacaatttcct, aactgtgctttctggtgca, ttcttgttttcccatatcc, ccgggttgtcaatgggaat, tcaggatctacacactcca, gtgtggaacatcgtgcaaa, cacagagcaacaagctggc, ttggcagttggagtgtgtc, tatgttagcagcttgggac, gtgtttcgtattctttgca, atgattatcacccttaccc, acaatgctttggtggaagc, atcatgtctccttttcagt, cctcgccttctaacacaaa, cctcaaactcaatgagtct.
RNA extraction and qRT-PCR.
Total mRNA was isolated using RNeasy Mini Kit (Qiagen) following the manufacturer’s protocol. cDNA was synthesized using iScript Advanced cDNA Synthesis Kit (Bio-Rad Laboratories Inc.). qRT-PCR was performed using SsoAdvanced Universal SYBR Green Supermix (Bio-Rad) using CFX Connect Real-Time PCR Detection System (Bio-Rad) following the manufacturer’s protocol. qPCR primers were purchased from Sigma. The primer sequences are as follows: Lmnb1 (F: 5′-CCTGAAGAACACTTCTGAAC-3′, R: 5′-TTTGCAGCCCATATTGTAAC-3′); Lmnb2 (F: 5′-CCAAGAAACAACTGGAGAAG-3′, R 5′-GCCATCTTGAAGTCGTACTC-3′); Emd (F: 5′-AGGTTCTCAGACTTGGATTC-3′, R: 5′-CTTGCTCTGGTAAAGTAAGG-3′); Lmna (F: 5′-GCATCACAGAGTCTGAAGAG-3′, R: 5′-ACCCTCCTTCTTGGTATTTC-3′); Banf1 (F: 5′-GCTTTGACAAGGCTTATGTG-3′, R: 5′-TCCCCAGAGTACATTACAAG-3′); Cbx1 (F: 5′-ACAAGGCTTTATTGCTTCTC-3′, R: 5′-CCTCCACTTTCTTCTTGTTC-3′); Cbx5 (F: 5′-ATGGGAAAGAAAACCAAGAG-3′, R: 5′-CAGGACAATCCAAGTTCTTC-3′); LBR (F: 5′-GCATAGAGCTGTGTTATGTG-3′, R: 5′-GTAGACAGCATTTCCAGAAC-3′); SUN1: (F: 5′-GAGCGAGGCAGGAATTTCAG-3′, R: 5′-CCACCATCCCTGTCTTGTCT-3′); SUN2 (F: 5′-GCATGCTTTGGAGGACTGAG-3′, R: 5′-CCACAAGACCCCTAGCTCAA-3′); egr-1 (F: 5′-CTATGCCTCCGTTCCACCTG-3′, R: 5′-CGAAAGCCCAGTTGAAGTGC-3′).
Cells were transfected with siRNA using RiboCellin siRNA delivery reagent (Bulldog Bio) following the manufacturer’s protocol. Custom siRNA sequences specific to CHO cells were designed against CHO genome (www.CHOGenome.org). Custom siRNA were synthesized by Sigma. siRNA sequences are: GCAGACGAAACTTTACTTA for Lmnb1 siRNA #1; GCTTTCTAACCTGCAGAAA for Lmnb1 siRNA #2; CCCGGCTGCAGATTGAAAT for Lmnb2 siRNA #1; CCTCAACCCTCAGTGACAA for Lmnb2 siRNA #2; GCCAGAAGAGAACCTGGAT for Cbx1 siRNA #1; CCAAGGAAGCCAATGTCAA for Cbx1 siRNA #2; GGAGCACAATACTTGGGAA for Cbx5 siRNA #1; CCTGAGAAGAACTTGGATT for Cbx5 siRNA #2; GCAGCAGCTCGATGAGTAT for Lmna siRNA #1; GCCTTCGTACAGCTCTCAT for Lmna siRNA #2; CCAGTACAACATCCCGCAT for Emd siRNA #1; CCTGGTCTTTGCTGCCTTT for Emd siRNA #2; GGCAAGAAGCTGGAGGAAA for Banf1 siRNA #1; GGCCAGTTTCTGGTGCTAA for Banf1 siRNA #2; GCTATGAATCCAGAGCTTA for SUN1 siRNA #1; GGATTTGCCTCTGCACCAT for SUN1 siRNA #2; GGTTCCTTCTCCGAGATAA for SUN2 siRNA #1; GCAAGATCCTTGCCAGCAT for SUN2 siRNA #2; CCTGGGAGCTCCCTTTATT for LBR siRNA #1; CCTCCTGCCTTACTTCTAT for LBR siRNA #2. The knockdown efficiencies for mRNAs and proteins are listed in Supplementary Figs 18 and 19.
Preparation of polyacrylamide gels.
Polyacrylamide gels were prepared as described8. The elastic Young’s modulus of the polyacrylamide gels used in this study was 0.6 kPa (0.06% bisacrylamide and 3% acrylamide), 2 kPa (0.05% bisacrylamide and 5% acrylamide), and 8 kPa (0.3% bisacrylamide and 5% acrylamide). The gel was coated with 100 μg ml−1 collagen-1.
Microscopy and live cell imaging.
A Leica inverted microscope was used to image the cells. Cy3 cube was excited at 535–550 nm. Live cells were imaged in imaging buffer (20 mM HEPES, 140 mM NaCl, 2.5 mM KCl, 1.8 mM CaCl2, 1 mM MgCl2, pH 7.4). Leica DMI6000B and SP8-STED microscopes were used to visualize and collect H2B-GFP images. Excitation was 488 nm for GFP. There were generally 2–7 GFP spots per cell. Collagen-1 (16 μg ml−1) was pre-coated and the cells were seeded overnight. For simplicity of % stretching calculation we chose cells that had 2–3 GFP bright spots per cell for imaging. Sometimes a few GFP spots appeared dim in the same cell, suggesting that they were out of focal view, which was confirmed by 3D confocal imaging; these GFP spots were not selected for quantification of displacements. Spontaneous movements of the chromatin were 3.26 ± 0.25 nm (n = 36 cells) after fixing the cells with 4% paraformaldehyde; these movements represented inherent microscopic stage drifts and stage vibration, and thus were subtracted out. As a first attempt to measure displacements, we quantified only displacements in the X–Y plane, although there were also displacements in the z direction, which could be tracked by stacking multiple X–Y plane images in the future. Therefore, the change of distance between chromatin GFP spots is an underestimate of the actual change of distance in 3D.
RNA Poly II antibody staining.
CHO cells were fixed with a buffer consisting of 4% formaldehyde (BioLegend) for 15 min at room temperature. Cells were then permeabilized with 0.5% Triton X-100 (BioLegend) for 15 min and treated with a blocking buffer consisting of 2% BSA in PBS for 4 h. To quantify distribution of RNA Poly II, we used an anti-RNA Poly II primary antibody. Detection of RNA Poly II was performed using Alexa-conjugated secondary antibodies (Abcam, Cat. No.150074). Cells were incubated with primary antibodies (diluted with 2% BSA buffer at a ratio of 1:100) overnight at 4 °C. After being washed to remove unbound primary antibodies, cells were incubated with the secondary antibody (diluted with 2% BSA buffer at a ratio of 1:1,000) for 1 h under dark conditions. To quantify Poly II fluorescence, the images from the microscope were saved in the Tif format. Image J was used to invert the black and white colour. The optical density of the inverted image was calibrated and set to scale. Thresholds were adjusted to get rid of auto-fluorescence background noise, and fluorescence intensity in the area of interests was quantified.
3D imaging with confocal microscopy and STED nanoscopy.
3D fluorescence imaging was performed using a Leica SP8-STED microscope to obtain 3D reconstructive images of the GFP spots in the single chromatin of a spread CHO cell. A ×100 oil immersion objective was used. Each nucleus was imaged using multiple z-stack images, with each step of ∼0.3 μm. Fluorescence was detected using a Hybrid Detector (HyD) or a photomultiplier tube.
Dynamic tracking and image analysis.
MATLAB software (Mathworks) was used for data analysis and image processing. Fluorescent spots were tracked using a customized MATLAB code based on IDL Particle Tracking Software. All DHFR transcription was quantified using RNA FISH probes on single cells. Therefore, for each cell, the bead force direction relative to the cell long axis was known. Sometimes the data from various stress angles were pooled together for reporting measurements of DHFR transcripts. The background was calculated by averaging the fluorescent intensity of non-target areas of the cell image in each cell. After the background was subtracted from the image using ImageJ, the image was zoomed in several times until the boundary of target fluorescence could be visually distinguished. The fluorescent areas were then determined by using the freehand selections tool, and the integrated density was measured as the DHFR expression under various conditions (for example, no bead and no stress, with bead but no stress, + stress, + drugs, after knockdowns, and so on). For egr-1 gene expression experiments, qPCR (real-time quantitative polymerase chain reaction) was used to quantify expression of a cell population, and thus the stress angles relative to the cell long axis were not able to be quantified.
The customized MATLAB codes to calculate the mean displacements of GFP spots and magnetic beads are fully available and free of charge upon request to the corresponding authors.
Two-tailed Student’s t-test was used for all statistical analyses except when multiple comparisons were carried out within a given experiment, where Bonferroni correction was also performed.
This work was supported by NIH R01 GM072744 (to N.W.) NIH R01 GM58460 (to A.S.B.), and funds from Huazhong University of Science and Technology, and Ministry of Science and Technology of China grant 2016YFA0101100. A.T. acknowledges partial support from Natural Sciences and Engineering Research Council (NSERC) of Canada through a PGS Doctoral Scholarship. R.S. acknowledges support from the NSF IGERT Program. N.W. acknowledges support from a Hoeft Professorship at University of Illinois at Urbana-Champaign.
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Nature Cell Biology (2018)