Abstract
The proteins harboring double-stranded RNA binding domains (dsRBDs) play diverse functional roles such as RNA localization, splicing, editing, export, and translation, yet mechanistic basis and functional significance of dsRBDs remain unclear. To unravel this enigma, we investigated transactivation response RNA binding protein (TRBP) consisting of three dsRBDs, which functions in HIV replication, protein kinase R(PKR)–mediated immune response, and RNA silencing. Here we report an ATP-independent diffusion activity of TRBP exclusively on dsRNA in a length-dependent manner. The first two dsRBDs of TRBP are essential for diffusion, whereas the third dsRBD is dispensable. Two homologs of TRBP, PKR activator and R3D1-L, displayed the same diffusion, implying a universality of the diffusion activity among this protein family. Furthermore, a Dicer–TRBP complex on dsRNA exhibited dynamic diffusion, which was correlated with Dicer’s catalytic activity. These results implicate the dsRNA-specific diffusion activity of TRBP that contributes to enhancing siRNA and miRNA processing by Dicer.
Keywords: RNA interference, single molecule FRET
The family of double-stranded RNA (dsRNA) binding proteins (dsRBPs) comprise one or more evolutionarily conserved dsRNA binding domains (dsRBDs) of 65–68 amino acids found in eukaryotes, prokaryotes, and viral-encoded products (1). The dsRBPs interact exclusively with dsRNA in a nonsequence-specific manner (1, 2). The dsRBP family includes Dicer, transactivation response (TAR) RNA binding protein (TRBP), protein activator of protein kinase R (PKR) (PACT), R3D1-L, dsRNA-dependent PKR, adenosine deaminase acting on RNA (ADAR), and nuclear factors associated with dsRNA (NFARs), which are implicated in gene silencing, antiviral immune response, mRNA editing, and transport (3). Such functional diversity is not surprising in light of the majority of cellular and viral RNA species that likely contain extensive dsRNA segments, primarily in the context of 3D RNA structures (4). However, it remains puzzling why most dsRBPs require multiple dsRBDs, as truncation or mutation of one dsRBD greatly diminishes or completely abolishes the protein’s ability to bind dsRNA (5, 6) and their biological function (7–9). Here, we focused our study on the mechanism of the simplest multiple dsRBD-containing proteins, TRBP, and its homologs, PACT and Loquacious (Loqs)–PB [also known as R3D1-L (long)].
TRBP was initially isolated from a HeLa cell expression library using TAR RNA as a binding probe (10). TRBP plays many different roles, including inhibition of PKR in antiviral immune signaling (11), activation of HIV-1 gene expression by binding TAR RNA (12), and regulation of cell growth (13). More recently, TRBP was also identified as an integral component of RNA-induced silencing complexes (RISCs) (14) that include TRBP, Dicer, and Argonaute 2 (Ago2). As an essential partner of Dicer, TRBP is required for optimal gene silencing induced by small interfering RNAs (siRNAs) and microRNAs (miRNAs) (15), although in one study it was dispensable for siRNA function (16). The diverse functions of TRBP are based on its ability to bind dsRNA, mediated by dsRBDs. Therefore, it is crucial to understand how TRBP interacts with dsRNA as a first step toward deciphering its role in higher-order biological processes. Moreover, TRBP consists of three dsRBDs, where the first two N-terminal dsRBDs bind dsRNA and the third C-terminal dsRBD interacts with other partner proteins, but it remains unclear why two dsRBDs are required for interaction with dsRNA. Using single molecule fluorescence detection, we sought to determine the fundamental behavior of TRBP upon dsRNA binding and how it may contribute to the biological function of its partner protein, Dicer, when in a complex. Here, we report an unanticipated dsRNA diffusion behavior of TRBP, which requires two dsRBDs, and its correlation with the role of TRBP in promoting Dicer-induced RNA cleavage. Furthermore, the diffusion activity is conserved in orthologous members of tandem dsRBD-containing proteins, indicating that diffusion may be a general mechanism by which dsRBPs mediate diverse biological processes.
Results
Observation of TRBP Diffusion on dsRNA.
TRBP possesses three dsRBDs, the N-terminal two of which (dsRBD1 and 2) bind dsRNA tightly (17), whereas the third dsRBD (dsRBD3) participates in higher order complex assembly with proteins such as PKR and Dicer (18, 19). To examine the interaction between TRBP and dsRNA by single molecule fluorescence resonance energy transfer (smFRET) (20), we prepared a donor (Cy3, green)-labeled dsRNA and an acceptor (Alexa 647, red)-labeled TRBP. We immobilized the RNA via biotin–neutravidin linkage and added the labeled TRBP to single molecule imaging surface (Fig. 1A). Unexpectedly, we observed rapid FRET fluctuations caused by distance changes between TRBP and one end of the dsRNA (Fig. 1B). The FRET fluctuation doesn’t come from repetitive TRBP binding and dissociation because the FRET fluctuates between 0.3 and 0.8, rather than going down to 0 as expected if dissociation is occurring, as shown in Fig. S1 A and B (Fig. 1A). This repetitive distance change could result either from a diffusion of TRBP on dsRNA or a conformational change of TRBP’s subdomain. To differentiate between the two possibilities, we labeled TRBP site-specifically at its N terminus, which is expected to contact dsRNA tightly. This protein also yielded FRET fluctuations highly analogous to the nonspecifically labeled TRBP shown in Fig. 1B (Fig. S2A). The similarity in FRET fluctuation regardless of a fluorophore labeling position implies that the FRET fluctuations are likely due to the movement of the whole TRBP, rather than its subdomain’s motion relative to the static dsRNA-bound domain. Furthermore, the initial FRET values are heterogeneous due to the binding of TRBP in a nonsequence-specific manner (Fig. S2B).
To test further whether the observed FRET fluctuation could arise from diffusion of TRBP along dsRNA, we performed one-color protein-induced fluorescence enhancement (PIFE) (21) (Fig. S3 A and B) and three-color FRET (22) assays (Fig. S3 C–E). In the PIFE assay, the intensity fluctuation of Cy3 in the absence of Cy5 indicates that TRBP comes in contact with the fluorophore repeatedly. In three-color FRET assay, the anti-correlated changes between the two acceptors (Cy5 and Cy7) located at both ends of dsRNA indicates that the donor (Cy3)-labeled TRBP is moving across the dsRNA from one end to the other in succession. Again, we rule out the possibility of TRBP association and dissociation because the anticorrelated change between the two acceptor dyes (Cy5 and Cy7) can only result from the continuous and periodic movement of the donor labeled TRBP from one end to the other end of dsRNA axis. Both assays independently support the conclusion that TRBP diffuses on dsRNA. It is noteworthy that this activity was ATP independent, indicating that the diffusion of TRBP does not require an external energy source. Furthermore, this activity likely arises from a single binding event of TRBP based on the observation that the same activity persists even after removal of excess protein by buffer wash. We observed that the fluorophore labeling of TRBP didn’t affect its binding affinity to dsRNA (Fig. S4). Here, we use the term “diffusion” to ascribe 1D diffusion of TRBP on dsRNA (23).
dsRNA Length Dependence of TRBP Diffusion.
We tested whether the length of the dsRNA could modulate the diffusion activity of TRBP. We prepared dsRNAs of 19, 25, 38, and 55 bp each labeled with a donor at one end. TRBP diffusion on 38 bp (Fig. 2A) results in larger amplitude of FRET change (Fig. 2B) compared with that observed using 19 bp (Fig. 2 C and D), suggesting that TRBP diffuses along the entire length of the dsRNA. To test this hypothesis, we performed an autocorrelation analysis of the FRET fluctuations obtained for all four dsRNAs of different lengths (Fig. 2E). As a way of signal processing, the autocorrelation gives the magnitude of signal change as its initial value and the rate of signal change as its decay time. The initial values of the autocorrelation curve, 0.07, 0.12, 017, and 0.20, were obtained for 19, 25, 38, and 55 bp dsRNA, respectively, indicating that a longer dsRNA displayed larger distance changes as expected. We also confirmed the result by comparing the average FRET histograms obtained from 19 and 55 bp dsRNAs, which showed a shift toward the low FRET state in the case of longer dsRNA (Fig. S5A). Furthermore, the rates calculated from an exponential fitting of each autocorrelation curve, 0.106, 0.117, 0.143, and 0.190 s of diffusion time for 19, 25, 38, and 55 bp dsRNA, respectively, indicate that it takes a longer time to diffuse on the longer dsRNA (Fig. 2F). We shortened the dsRNA length further to determine the minimal length of dsRNA required for TRBP’s diffusion and found that TRBP didn’t bind dsRNA as short as 12 bp and did bind but not diffuse on 15 bp (Fig. S5B). Taken together, our data demonstrate that the observed FRET fluctuation is due to TRBP’s diffusion movement along the entire RNA rather than a conformational change of TRBP’s subdomain.
TRBP Diffuses Exclusively on dsRNA.
We varied the composition of RNA substrates to investigate the substrate specificity of TRBP diffusion (Fig. 3 A–F). Although TRBP showed ∼60% binding to 38 bp dsRNA (presiRNA), it did not show any binding or movement on a DNA-RNA hybrid or a single-stranded RNA (ssRNA), indicating that both strands of dsRNA are required for TRBP binding (Fig. 3 G and H). It also indicates that A-form structure of nucleic acids is not sufficient for TRBP’s binding because TRBP didn’t bind to DNA-RNA heteroduplex exhibiting A-form duplex structure. Consistent with this possibility, TRBP diffusion behavior was observed only when bound to dsRNA, in which most or all nucleotides are predicted to form canonical Watson–Crick base pairs, and not to dsRNAs with more complex secondary structure such as bulges and loops (Fig. 3H).
Two dsRBDs Are Responsible for Diffusion Activity.
We generated truncation mutants of TRBP to investigate which of three dsRBDs give rise to the diffusion activity. Based on the dissociation constants of individual dsRBD1 (220 nM) and dsRBD2 (113 nM) to dsRNA, which are three orders of magnitude higher than that of dsRBD1+dsRBD2 (0.25 nM) (17), it is clear that both dsRBD1 and dsRBD2 are required for an efficient binding to dsRNA. In addition, both dsRBD1 and -2 play a functionally important role with respect to RNA processing (14, 24, 25), whereas dsRBD3 serves as a connector to Dicer (18, 19, 26). Consistent with these previous findings, we find that the deletion of dsRBD3 did not interfere with the observed diffusion behavior, whereas the deletion of dsRBD1 or dsRBD2 completely abrogated the diffusion activity (Fig. 4 A–D). We note that the short-lived binding observed in Fig. 4C represents an extremely rare event at 10 nM protein that we used for most of our assays, which is likely due to these mutants exhibiting low binding affinity (Fig. S6). Therefore, we conclude that the intact dsRBD1 and dsRBD2 are directly responsible for the diffusion movement of TRBP and that dsRBD3 is dispensable. This result also implies that the diffusion activity requires intact tandem dsRBD1 and -2, and one dsRBD alone is insufficient. We hypothesize that one dsRBD’s binding affinity is not strong enough to show diffusion, whereas the affinity of two dsRBDs is sufficient to support this activity. However, the three orders of magnitude difference in the binding affinity between one dsRBD and two dsRBDs (dsRBD1+2) suggests that it is not due to a simple summation of two independent binding bodies but a new conformational state of two dsRBDs that contributes to nonadditive binding affinity to dsRNA as well as the unique diffusion activity along dsRNA.
Conservation of Diffusion Activity in PACT and R3D1-L.
We tested if this diffusion activity is conserved in orthologous proteins with tandem dsRBDs. For this, we purified PACT, another partner protein of human Dicer (27) as well as an activator of PKR, and R3D1-L, a cofactor of Dicer-1 found in Drosophila (28–30). Both of these proteins possess three dsRBDs analogous to those in TRBP. In smFRET experiments similar to those described for TRBP previously, both PACT and R3D1-L exhibited behavior similar to that of TRBP and consistent with diffusion on dsRNA substrates (Fig. 4 E and F). The finding that two additional proteins possess dsRNA diffusion activity strongly suggests that this behavior may be an intrinsic feature of these types of RNA-binding proteins.
TRBP-Driven Diffusion of Dicer–TRBP Complex.
We asked if TRBP diffusion contributes to the function of its partner protein, Dicer. To test whether TRBP diffusion occurs in the context of a Dicer–TRBP complex, we analyzed a reconstituted sample of Dicer–TRBP in smFRET assays in which Dicer–TRBP and dsRNA substrates were labeled as before (Fig. 5A). Upon association with dsRNA, which is detected by the appearance of FRET, some Dicer–TRBP binding events produced a constant FRET signal, whereas others produced a fluctuating FRET signal, consistent with two populations of complexes exhibiting either static binding or diffusion on dsRNA, respectively (Fig. 5B). The molecules exhibiting static binding are not likely due to Dicer alone because Dicer’s binding affinity to dsRNA is at least 10 times lower than Dicer-TRBP as quantified by fluorescence spot numbers (Fig. S7). In these assays, we found that about 60% of the Dicer–TRBP complex also exhibits a smFRET fluctuation pattern that is consistent with diffusion on dsRNA, although almost none (< 5%) of Dicer alone and most (>85%) of TRBP alone does (Fig. 5C), suggesting that TRBP induces the diffusion of Dicer–TRBP complex.
TRBP-Mediated Diffusion Correlates with Dicer-Induced RNA Cleavage.
Next, we tested dicing activity of dsRNA by Dicer–TRBP complex. To minimize possible surface effects that may interfere with the access of the Dicer–TRBP complex to dsRNA, we performed a complementary experiment in which the protein complex, rather than the dsRNA, was immobilized (Fig. 5D). The protein complex labeled with red fluorescent dye (Alexa 647) nonspecifically was surface-immobilized using an antibody against the Histidine (His)6-tag (31), and green dye (Cy3)–labeled RNA substrate was added, generating Dicer–TRBP–RNA ternary complex (Materials and Methods). The labeling position in the Dicer–TRBP complex can be either in Dicer or TRBP, but in either case will lead to FRET fluctuations regardless of the labeling position if the protein complex moves along dsRNA. All immobilized molecules are expected to be the Dicer–TRBP complex rather than TRBP or Dicer alone. First, they cannot be TRBP alone because the protein complex was immobilized via the His6-tag tag on Dicer. Second, they cannot be Dicer alone because the binding affinity of Dicer to the RNA substrate is too low to associate with dsRNA at the concentration used here. The Kd for Dicer is ∼1.8 nM, whereas the Kd for Dicer–TRBP is less than 50 pM (32). Fig. S7 also shows the lower RNA binding fraction of Dicer compared with Dicer–TRBP. Dicer itself couldn’t capture as much RNA as Dicer–TRBP, suggesting that the captured RNA signals in Fig. 5D and Fig. S8A come from Dicer–TRBP complexes. They appear as fluorescence spots on the imaging surface (Fig. S8A), and the number is expected to decrease as the RNA is cleaved away. We conducted control measurements to confirm that RNA binding is specific to the Dicer–TRBP complex and not to the surface or the antibody (Fig. S8A).
The RNA cleavage activity was monitored by the loss of fluorescent spots on the surface over time after the addition of Mg2+. The tested cleavable dsRNA contains the sequence of the well-characterized pre-miRNA, pre-let-7a, but with a nick in the middle of its hairpin loop, which is predicted by mFold to retain the same structure (33). The cleavage rate of Dicer–TRBP on this nicked pre-miRNA was consistent with that observed in a bulk cleavage assay with t1/2 of ∼3 min (Fig. 5E) (32). Further analysis of individual single molecule traces revealed both static binding and dynamic diffusion population of molecules. We counted these two classes of molecules over the time interval corresponding to active RNA cleavage after Mg2+ addition.
Surprisingly, our data indicate that the diffusing molecules, but not the static molecules, are selectively lost (Fig. 5F). The calculated ratio of the diffusion molecules over both static and diffusion molecules exhibited the disappearance rate following the same kinetic rate of dsRNA cleavage (Fig. 5G). There are two possible explanations for the two different populations of Dicer–TRBP complex. The tested RNA substrate is asymmetric because only one end of RNA is available for Dicer’s cleavage, whereas the other end is blocked by the imaging surface or flanked. Dicer’s Piwi-Argonaute-Zwille (PAZ) domain requires a terminal dsRNA end to bind, resulting in RNA cleavage at a position 21–23 bp away from it. If Dicer binds in the opposite orientation, Dicer cannot cleave the dsRNA because the PAZ domain cannot position the RNA correctly for cleavage. Molecules positioned in this wrong orientation may explain the static population that didn’t get cleaved over time. Another possibility is that there are two types of associations between Dicer and TRBP, one that inhibits diffusion of the complex and the other that permits it. In this model, the inhibitory association will not allow cleavage unless the binding occurs in the correct position where PAZ domain engages with the open end of the RNA. In contrast, the diffusing molecules can slide along dsRNA to search for the cleavage site. Both scenarios suggest that only the diffusing Dicer–TRBP complex cleaves the RNA substrate, suggesting that TRBP-driven diffusion may play a role in enhancing the cleavage rate of Dicer.
To check for nonspecific cleavage activity, the RNA substrate was incubated for 30 min before the cleavage reaction was triggered by adding magnesium (Mg2+). Experiments carried out in the absence of Mg2+ do not show any change in the number of RNA molecules bound to Dicer–TRBP. When Dicer–TRBP was provided with a noncleavable dsRNA, binding was observed without loss of fluorescent spots during a 1 h period (Fig. S8B). Cumulatively, our finding suggests that TRBP-driven diffusion activity of Dicer–TRBP complex is correlated with its dsRNA cleavage activity.
Discussion
Herein, we present a case of a protein family that diffuses exclusively on dsRNA. Such movement can only be detected by real-time monitoring of individual proteins. It is interesting to note that TRBP, PACT, and R3D1-L that contain tandem dsRBDs possess the intrinsic ability to diffuse on dsRNA, whereas Dicer with only one dsRBD shows transient static binding without diffusion on dsRNA. The diffusion activity seen in three dsRBPs here may represent a general mode of multiple dsRBDs. Diffusion activity tested on TRBP truncation mutants also confirms that one dsRBD is insufficient for its diffusion. The substrate specificity shown in Fig. 3H in which TRBP diffusion was observed in dsRNA with internal mismatches but not with more complex secondary structures may serve as a basis for its RNA scanning function. It is noteworthy that miRNAs also contain internal mismatches on which TRBP can diffuse.
Reduced dimension in diffusion has been suggested to increase the efficiency of protein–nucleic acid interaction. The association and dissociation kinetics of Lac repressor protein showed that it searches for its target not just by a 3D random collision but also by a 1D diffusion (34, 35), which was supported by theoretical approaches (36, 37) Recently, single molecule studies have identified proteins that diffuse on nucleic acids. Rad51 diffuses laterally on dsDNA (38), DNA glycosylase 1 (hOgg1) diffuses on dsDNA by 1D diffusion (23), reverse transcriptase of HIV shuttles back and forth on DNA-RNA hybrid (39), single-stranded DNA binding protein diffuses on single-stranded DNA (40), and DNA repair protein, Msh2–Msh6, also diffuses on dsDNA (41). Herein, we present a case of a protein family that diffuses exclusively on dsRNA. This motion is ATP-independent, unlike RIG-I, which translocates on dsRNA fueled by ATP (42–45). It is interesting and intriguing to note that TRBP, PACT, and R3D1-L, which possess the intrinsic ability to diffuse on dsRNA, are multiple dsRBD-containing proteins as well as cofactors of Dicer in different organisms.
This diffusion activity arising from multiple tandem dsRBDs could at least, in part, unravel the unsolved biological questions regarding the role of dsRBPs. In vitro, TRBP facilitates Dicer’s cleavage of pre-siRNAs or pre-miRNAs (18, 33), but how it contributes to the function of Dicer has remained unknown. Based on the correlation between TRBP-driven diffusion of Dicer–TRBP complex and its cleavage activity, we propose that TRBP-induced diffusion could aid in positioning Dicer at the proper cleavage site (Fig. 5F), resulting in an enhanced cleavage rate of Dicer–TRBP compared with Dicer alone (18, 33). Dicer by itself will find the cleavage site through multiple trials of random binding and dissociation, whereas Dicer–TRBP complex can find it more efficiently through a diffusion mechanism (Fig. 5F). In other words, Dicer–TRBP diffusion can serve to scan pre-siRNA and pre-miRNA substrates and to facilitate Dicer’s catalytic activity by locating the complex at the RNA cleavage site with an improved efficiency and precision (46, 47). It is also likely that TRBP’s diffusion plays another role in RNA-mediated gene silencing, for instance a recruitment of Dicer–TRBP complex to Ago2 (10) or guide strand selection by dsRNA scanning (48, 49).
Furthermore, TRBP and PACT interact with PKR, a major antiviral protein (50, 51), where TRBP inhibits whereas PACT enhances PKR’s activity (11, 52). In light of the diffusion activity exhibited by both TRBP and PACT, it will be interesting to elucidate the distinct mechanisms that lead to disparate regulatory responses in PKR and in the immune response. Our study also provides insight in the role of TRBP in HIV infection as TRBP binds and sequesters the TAR RNA of HIV (53).
Materials and Methods
Protein Purification.
N-terminal His6–Dicer was purified as previously described (54) with several modifications. TRBP, PACT, and their truncations were cloned as cleavable N-terminal His6–Maltose binding protein (MBP) fusions and R3D1-L as a cleavable N-terminal His6–Glutathion S-transferase (GST) fusion. Each was purified separately from bacterial overexpression using methods previously described (54). For details, see SI Materials and Methods.
Dicer–TRBP Reconstitution.
A total of 705 μg (3 nmol) of Dicer and 550 μg (11 nmol) of TRBP were mixed in 250 μL (final volume) of gel filtration buffer. The protein solution was incubated on ice for 1 h and then was applied to a Superose 6 10/30 column (Amersham Pharmacia) equilibrated in gel filtration buffer. Fractions were analyzed by SDS/PAGE, and those fractions containing the complex were pooled and concentrated to 1.5 mg/mL
RNA Constructs Preparation and Protein Labeling.
The sequences of all RNA constructs were displayed in Table S1; 25RNA, 40RNA, and 55RNA were purchased from Dharmacon, and 3′-biotin or 3′-DY547 was incorporated in the process of each RNA synthesis. RNA constructs containing 5′ triphosphate were in vitro transcribed and biotinylated at 3′ end. All other RNA constructs were synthesized and HPLC-purified from Integrated DNA Technology Inc. with proper chemical modifications of each RNA such as an internal C6 amine modifier dT, biotin, and/or Cy3 incorporation at the 5′ and/or 3′ end.
With presiRNA (38RNA), we showed the diffusion activity by TRBP and its truncation mutants by two-color FRET as well as three-color FRET. siRNA, 25RNA, presiRNA, 40RNA, and 55RNA were for investigating the length dependence of TRBP’s diffusion activity, and DNA-RNA, 50ssRNA, DsrA, rpoS1, rpoS2, and prelet-7_n for the substrate structure dependence. For the cleavage assay by Dicer–TRBP complex, nonbiotinylated prelet-7_n was examined.
For smFRET assay, we labeled RNAs and proteins with a fluorophore. Details of RNA and protein labeling can be found in SI Materials and Methods.
Immobilization of RNA and Protein.
For the smFRET assays, RNAs and proteins were immobilized on a polyethylene glycol (PEG)-coated quartz surface through neutravidin–biotin interaction. A total of 0.05 mg/mL of neutravidin was incubated for 5 min and then 30–50 pM biotinylated RNA in T50-BSA buffer (10 mM Tris, pH 8, 50 mM NaCl, and 0.1 mg/mL BSA) was added for RNA immobilization. Between10–100 nM of protein was added to the immobilized RNA for the diffusion assay. For the RNA cleavage assay, N-terminal His6-tag protein was immobilized on a neutravidin-treated PEG surface through biotinylated anti-Penta-His antibody (Qiagen). Between 1–2 μg/mL of the antibody was incubated for 5 min, following the incubation of 0.05 mg/mL neutravidin for 5 min on a PEG surface. Then, 10 nM of His6-tag protein was incubated for another 5 min, and 1–2 nM of RNA was added afterward for the single-molecule assays.
smFRET Assays.
Single-molecule detection of protein dynamics and functional assay was achieved by a homemade wide-field total internal reflection fluorescence (TIRF) microscopy. Details of smFRET assays can be found in SI Materials and Methods.
Data Analysis: Auto-Correlation and Cross-Correlation.
The auto-correlation function was analyzed by MATLAB program, and the equation of auto-correlation used is as below:
E(t) represents FRET, and the FRET auto-correlation, G(τ), gives us an average diffusion rate because FRET changes in our system reflect the diffusion of a protein. More than 30 molecules were analyzed for each auto-correlation curve, and it was fitted with a single exponential decay to obtain an average diffusion rate of the molecules.
In the three-color FRET experiment, the cross-correlation between the fluorescence intensity of Cy5 and the one of Cy7 was analyzed using the following equation:
Supplementary Material
Acknowledgments
We thank T. Ha, H. Hwang, and Y. Qiu for helpful discussions and R. Zhou, Y. Ishitzuka, Q. Xu, and C. Xu for careful review of the manuscript. This work was funded by the American Cancer Society (Research Scholar Grant RSG-12-066-01-DMC), the Human Frontier Science Program (RGP0007/2012), and the US National Science Foundation Physics Frontiers Center Program (0822613) through the Center for the Physics of Living Cells (to S.M.) and National Institutes of Health Grants AI083025 (to S.M and H.R.K.) and GM073794-06 (to J.A.D. and M.A.K). J.A.D. is an investigator of the Howard Hughes Medical Institute.
Footnotes
The authors declare no conflict of interest.
This article is a PNAS Direct Submission. B.L.B. is a guest editor invited by the Editorial Board.
This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1212917110/-/DCSupplemental.
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