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Vol. 18, Issue 3, 850-863, March 2007
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*Instituto de Biologia Molecular e Celular, 4150-180 Porto, Portugal;
Instituto Superior de Ciências da Saúde-Norte, Grupo de Biologia Molecular e Celular, 4580 Gandra PRD, Portugal; and
Instituto de Ciências Biomédicas de Abel Salazar (ICBAS), Universidade do Porto, 4000 Porto, Portugal
Submitted July 10, 2006;
Revised November 27, 2006;
Accepted December 3, 2006
Monitoring Editor: Orna Cohen-Fix
| ABSTRACT |
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| INTRODUCTION |
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The main components of the SAC molecular machinery were originally identified by genetic screens in budding yeast. MAD1-3 (Li and Murray, 1991
) and BUB1 and BUB3 (Hoyt et al., 1991
) were shown to be required for a mitotic arrest in the presence of spindle damage. These genes have been found to be conserved from yeast to man with the exception of Mad3, which in higher eukaryotes is called Bub1-related kinase (BubR1) because it is highly similar to Bub1 and unlike Mad3 contains a protein kinase domain within the C-terminal half (Jablonski et al., 1998
; Taylor et al., 1998
).
Significant progress has been made in unraveling the molecular mechanism by which SAC proteins like Mad2 impose the mitotic arrest in response to inappropriately attached kinetochores. Mad2 was shown to be required for the establishment of a checkpoint-mediated arrest in response to spindle damage in Xenopus egg extracts (Chen et al., 1996
) and in mammalian cells in culture (Gorbsky et al., 1998
). Studies in Xenopus and human cells have also shown that Mad2 could block mitotic exit by sequestering Cdc20, an APC/C activator (Musacchio and Hardwick, 2002
; Bharadwaj and Yu, 2004
). Mad2 localizes to kinetochores early in mitosis after binding Mad1 (Chung and Chen, 2003
) where it undergoes rapid turnover (Howell et al., 2004
). This rapid turn over at kinetochores is thought to underlay the formation of Mad2Cdc20 inhibitory complexes that signal abnormal microtubule-kinetochore attachment (Sironi et al., 2001
). Extensive work using fixed cells in a variety of organisms has supported this model by showing that indeed Mad2 accumulates strongly at kinetochores in the absence of microtubules (Chen et al., 1998
, 1999
; Logarinho et al., 2004
). However, recent studies in Drosophila using a green fluorescent protein (GFP)-Mad2 transgene and time-lapse microscopy have suggested an alternative view. The data indicates that even after microtubule kinetochore attachment takes place, a low level of Mad2 continues to enter the kinetochore and is removed mostly along spindle microtubules in a poleward direction (Howell et al., 2004
; Buffin et al., 2005
). These results suggest that perhaps the inhibitory signal provided by unattached kinetochores results not from the absence of kinetochore microtubule attachment per se but from the inability of Mad2 (and maybe other checkpoint proteins) to exit the kinetochore through microtubules, causing the accumulation of Mad2 at the kinetochore and the consequent formation of complexes that can now freely diffuse throughout the cytoplasm and inhibit the APC/C (see also Buffin et al., 2005
).
Although the role of kinetochores in the generation of a soluble inhibitory signal that delays metaphaseanaphase transition is consistent with most published data, recent experiments have suggested that cytoplasmic Mad2 is also required for the proper timing of early prometaphase independently of kinetochores (Meraldi et al., 2004
). Studies in human tissue culture cells show that when Mad2 is depleted in cells with disrupted kinetochores, sister chromatid separation follows very shortly after nuclear envelope breakdown (NEBD). However, if kinetochore-deficient cells now contain cytosolic Mad2, prometaphase is extended significantly, even though these cells still show a defective SAC response (Meraldi et al., 2004
). These results suggest that Mad2 has a kinetochore-associated function in maintaining SAC activity and a kinetochore-independent function in timing mitotic progression (for discussion see Kops et al., 2005
). Mad2 might therefore perform additional, SAC-unrelated functions during progression through mitosis. Interestingly, recent studies have also shown that besides their role in maintaining SAC activity, other checkpoint proteins also perform additional roles during mitosis progression. Bub3 has been shown to be required for the accumulation of cyclins during G2 and early mitosis (Lopes et al., 2005
). Furthermore, BubR1 (Lampson and Kapoor, 2005
) and Bub1 (Meraldi and Sorger, 2005
) were shown to be required for maintaining proper microtubule kinetochore interaction and chromosome congression.
Therefore, to gain insight into the primary role of Mad2 during mitosis, Drosophila S2 tissue culture cells were treated with double-stranded RNA against Mad2, and mitotic progression was analyzed in detail. Consistent with previous studies in other organisms, we find that depletion of Mad2 causes loss of the SAC response in Drosophila S2 cells. Moreover, Mad2-depleted cells fail to reach metaphase, exit mitosis very soon after NEBD, and show highly abnormal chromosome segregation that is characterized by the formation of extensive chromatin bridges and severe aneuploidy. However, our results indicate that Mad2 is unlikely to have any specific role in either chromosome condensation or microtubule kinetochore interaction because a checkpoint-independent arrest in mitosis allows normal chromosome condensation and congression. Also, release from the mitotic arrest allows cells to exit mitosis without chromatin bridges and with chromatid segregation profiles that are indistinguishable from controls. More significantly, if Mad2-depleted cells are released from the mitotic arrest into media containing the microtubule-depolymerizing agent colchicine, cells arrest in mitosis with intact sister chromatid cohesion and strong kinetochore accumulation of SAC proteins, suggesting an active SAC response. Taken together our results suggest that Mad2 has a major role in delaying mitotic progression during early stages of prometaphase so that the SAC can be activated and chromosome segregation can be properly conducted.
| MATERIALS AND METHODS |
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Immunofluorescence in S2 Cells
Cells were centrifuged onto slides (5 min at 1000 rpm) and processed for simultaneous fixation and extraction in 3.7% methanol-free formaldehyde, 0.5% Triton X-100 in 1x PBS for 10 min, followed by three washes in 1x PBS, 0.05% Tween 20. For separate fixation/extraction protocol (used to reveal spindle morphology) the fixing solution was prepared using 3.7% methanol-free formaldehyde in 1x PBS for 10 min, and then extraction was performed two times for 5 min using 1x PBS, 0.5% Triton X-100. For Mad2 antibody detection, slides were fixed using 4% paraformaldehyde in 1x PBS for 12 min and further extracted for 8 min in 1x PBS, 0.1% Triton X-100. Blocking was performed in 1x PBS, 10% fetal bovine serum, 0.05% Tween 20 (PBS-TF) for 30 min. Primary antibody incubations were prepared in blocking solution for at least 1 h at room temperature or overnight at 4°C, followed by three 10-min washes in 1x PBS, 0.05% Tween. Secondary antibody incubations were performed as described for the primary antibodies, including the three 10-min washes at the end. Slides were then mounted using Vectashield mounting medium for fluorescence with DAPI (Vector Laboratories, Burlingame, CA). Calcium treatment was performed as previously described (Kapoor et al., 2000
). Z-series optical sections were collected using the Zeiss Axiovert 200M microscope (Carl Zeiss, Oberkochen, Germany) using an AxioCam. Data stacks were deconvolved using either the Axiovision AxioVs40 V 4.2.0.0
[EC]
(Carl Zeiss) or the Huygens Essential version 3.0.2p1 (Scientific Volume Imaging, Hilversrum, The Netherlands). Images were treated using Adobe Photoshop CS (Adobe Microsystems, CA).
Antibodies
The primary antibodies were anti-Mad2 (Rb 1223) rabbit, anti-BubR1 (Rb 666) rabbit, anti-Bub1 (Rb 1112) rabbit, and anti-Bub3 (Rb 730) rabbit (Logarinho et al., 2004
). Anti-phospho Histone H3 rabbit (Polyclonal, Upstate Biotechnology, Lake Placid, NY), anti-
-tubulin clone B-5-1-2 mouse (Monoclonal, Sigma, St. Louis, MO), anti-Barren rabbit (Bhat et al., 1996
), anti-Topo II (P2G3) mouse (Swedlow et al., 1993
), anti-Polo (MABMA294) mouse monoclonal (Llamazares et al., 1991
), DRAD21 (Rb 735) rabbit (Warren et al., 2000
), anti-CID chicken (Blower and Karpen, 2001
), and anti-CID rabbit (Henikoff et al., 2000
).
In Vivo Time-Lapse Fluorescence Imaging
In vivo timing of mitotic progression was performed using S2 cells stably expressing GFP-tubulin (Rodgers, 2002
). Control and Mad2-depleted cells (72 h) were plated onto glass coverslips previously treated with 100 mg/ml concanavalin A (Sigma). Images were obtained at 30-s intervals. Image treatment was performed using AxioVision 4.3 Software (Carl Zeiss).
FACS Analysis
Control and Mad2 RNAi-treated cells were centrifuged at 2000 rpm for 5 min, resuspended in 200 ml PBS, and fixed using 2 ml 70% ice-cold ethanol in PBS, added drop by drop while vortexing. Samples were kept on ice for 30 min before centrifugation at 1000 rpm for 5 min. The pellet was resuspended in 200 ml PBS with 100 mg/ml RNAse and 100 mg/ml propidium iodide. Samples were incubated for a further 30 min at 37°C. For DNA content analysis, we used a FACSCalibur (Becton Dickinson, Mountain View, CA) flow cytometer and data from 10,000 cells was obtained. Results were analyzed using Cell Quest data acquisition software (BD Biosciences, San Jose, CA).
Transient Mitotic Arrest with MG132
Cells were collected every at various time points and fixed onto slides for analysis. Time 0 min corresponds to 72 h after the addition of the dsRNA. At this time point cells were incubated with a low dose of MG132 (2 µM) to induce a mitotic arrest. After a 120-min incubation, the cell culture was diluted threefold either with fresh media or media containing the microtubule poison colchicine. Slides were fixed and stained accordingly for the various antibody incubations performed.
| RESULTS |
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Mitotic Progression after Depletion of Mad2
Although Mad2 has been extensively studied in a number of organisms, previous reports have not yet provided a comprehensive description of mitotic progression in the absence of the protein. Accordingly, we depleted Mad2 from S2 cells and carried out a full phenotypic analysis. Mitotic cells were identified as being anti-phospho histone H3 (PH3) positive, and immunolocalization of Polo was used to define successive mitotic stages (Llamazares et al., 1991
). Overall quantification indicates that Mad2-depleted cells progress through early stages of mitosis normally, and as expected there is a decrease in the number of prometaphases (data not shown). More significantly, we find that Mad2-depleted cells show a strong decrease in the frequency of metaphases (Figure 2A). Also, these cells exit mitosis with highly abnormal anaphases/telophases containing extensive PH3-positive chromatin bridges that remain until very late stages of cell division (Figure 2B). Quantitative analysis shows that most Mad2-depleted cells contain chromatin bridges during anaphase, and
50% of the cells are unable to resolve these bridges because they are still present during telophase (Figure 2C). Analysis of DNA content by FACS shows that depletion of Mad2 also results in severe aneuploidy (Figure 2, D and E). DNA content profiles indicate that although control cultures show clearly defined 2N and 4N peaks throughout the experiment, from 72 h onward, cultures treated with dsRNA against Mad2 show a highly abnormal FACS profile, and a clear separation between the 2N and 4N peaks is no longer observed, suggesting an increase in aneuploidy along time. To confirm this observation, we quantified the number of kinetochores in control and Mad2-depleted prometaphase cells at different times during the course of the experiment (Figure 2F). Our results show that at the start of the experiment most cells contain 2026 kinetochores, consistent with the expected average number of chromosomes in these cells (12 chromosomes). However, as the RNAi treatment progresses, we find a significant proportion of Mad2-depleted cells containing either more or less than 2026 kinetochores.
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Chromosome Congression in Mad2-depleted Cells Prevented from Exiting Mitosis
Quantitative analysis of mitotic progression of Mad2-depleted cells showed a strong reduction in the number of metaphases. To investigate whether failure of these cells to reach proper chromosome congression is only due to an accelerated anaphase onset, Mad2-depleted cells were prevented from exiting mitosis by incubation with MG132 as described above. Cells were then fixed and stained to detect chromosomes, kinetochores, and spindle microtubules (Figure 3, A and B). The results show that if Mad2-depleted cells are prevented from exiting mitosis prematurely, proper chromosome congression is achieved. Interestingly, abnormal chromosome congression has also been associated with improper microtubule-kinetochore attachment after depletion of other checkpoint proteins like Bub1 (Meraldi and Sorger, 2005
) or BubR1 (Lampson and Kapoor, 2005
). Therefore, to ascertain whether Mad2 has any specific role in this process, Mad2-depleted cells were prevented from exiting mitosis by incubation in MG132, and kinetochore-microtubule interaction was analyzed. Fixed cells were stained for microtubules and kinetochores and imaged by fluorescence microscopy where each kinetochore pair was carefully followed through the stack of optical sections (see Supplementary Figure 3). The results show that most chromosomes are able to establish correct amphitelic attachment (Figure 3, C, D, and F), suggesting that Mad2 does not have a specific role in establishing and/or maintaining microtubule kinetochore interactions. To determine whether microtubule kinetochore interactions are functional in the absence of Mad2, we quantified the interkinetochore distance in untreated late prometaphase cells and in metaphase cells treated with MG132 as an indication that tension was exerted (Figure 3E). As expected we find that the interkinetochore distance in prometaphase cells is on average half of that after chromosomes have fully congressed, suggesting that proper tension is exerted upon kinetochore pairs even after Mad2 depletion. This is in full concordance with the amphitelic attachments observed in the absence of Mad2. Taken together, our results suggest that chromosome congression fails after Mad2-depletion only because cells exit mitosis prematurely.
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Analysis of the SAC in Cells Depleted of Mad2 or BubR1 after a Transient Mitotic Arrest
In the previous section we showed that S2 cells can be arrested transiently using MG132 and then after washing, the drug cells exit mitosis normally. Surprisingly, we find that Mad2-depleted cells that are also arrested transiently in mitosis by the MG132 reversible treatment can also undergo a mostly normal progression through mitosis. This suggests that Mad2 has an essential role in providing time during early stages of prometaphase so that cells can complete chromosome condensation and microtubule-kinetochore attachment before anaphase onset. So, given that these cells now show normal patterns of segregation it is important to determine if Mad2-depleted cells that are transiently arrested in prometaphase are able to respond to spindle damage. To study this further, we performed a similar experimental procedure as described in the previous section, with the exception that Mad2-depleted cells were released from the MG132 block into a medium containing the microtubule depolymerizing drug colchicine (Figure 5). Incubation in MG132 causes both control and Mad2-depleted cells to arrest, and when they are released into a normal medium, the frequency of prometaphase and metaphases is reduced and the frequency of sister chromatid separation increases (Figure 5, A and B). However, if either control or Mad2-depleted cells are released from the block into media containing colchicine to depolymerize spindle microtubules, they arrest in prometaphase at a high frequency (>90% of the mitotic cells) and the frequency of sister chromatid separation (determined by DRad21 immunostaining) is reduced significantly (Figure 5, A and B). Interestingly, 30 min after the release from MG132 arrest into media containing colchicine there is a slight increase in the cells in prometaphase. Given that the percentage of cells in prometaphase does not increase thereafter, we believe that the initial slight increase is due to some variability in the response to dilution of the drug from cells entering prometaphase. To determine whether the recovery of SAC activity after the transient mitotic arrest is specific for Mad2-depleted cells or a general behavior of cells depleted of any SAC protein, we repeated the experiment in cells depleted of BubR1. Further details on depletion of BubR1 will be published elsewhere (Maia, Lopes, and Sunkel, unpublished results). Western blotting shows that most BubR1 (>70%) can be effectively depleted by 72 h (Supplementary Figure 4) and could not be detected by immunofluorescence (data not shown). If BubR1-depleted cells are arrested with MG132, we observe an increase in accumulation at prometaphase and metaphase and a small reduction in the frequency of sister chromatid separation (Figure 5, A and B). When released from the MG132, we observed a reduction in the frequency of prometaphase and metaphases and a corresponding increase in the frequency of sister chromatid separation. Therefore in this experiment, although BubR1-depleted cells appear to respond less efficiently to the MG132 treatment, they do behave similarly to control and Mad2-depleted cells. However, if BubR1-depleted cells are released from MG132 into colchicine, the behavior is radically different from either control or Mad2-depleted cells because the frequency of prometaphases and metaphases is significantly reduced and the frequency of sister chromatid separation significantly increased (Figure 5, A and B). Thus, although a transient mitotic arrest causes Mad2-depleted cells to have a normal SAC response, BubR1-depleted cells fail to arrest after spindle damage, suggesting that the recovery of SAC activity after these treatments is Mad2 specific. However, it is still possible that the behavior of Mad2-depleted cells could be the result of low levels of Mad2 present after RNAi treatment, which during the MG132 incubation and colchicine treatment have time to accumulate at kinetochores and provide SAC function. To test this hypothesis, we took samples of cells treated with colchicine or MG132 or after the MG132-reversible protocol (180 min), fixed the cells, and immunostained for Mad2. Subsequently the levels of immunofluorescence were quantified (Figure 5C). The results indicate that unlike control cells, Mad2 is undetectable at the kinetochores of Mad2-depleted cells treated with colchicine and barely detectable after incubation in MG132 or when released into media containing colchicine. Accordingly, given that Mad2 is undetectable after Mad2-depletion, it is unlikely that the SAC activity we observed after the transient mitotic arrest is due to low Mad2 levels still present in the RNAi-treated cells. The results show that after a transient mitotic arrest, Mad2-depleted cells behave just like wild-type controls, displaying a normal SAC response.
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| DISCUSSION |
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Mad2 Has a Conserved Role in Drosophila
Checkpoint proteins have been shown to be essential for the fidelity of mitosis because they are responsible for sensing errors in microtubule kinetochore interaction (Gorbsky et al., 1998
; Canman et al., 2002
; Mikhailov et al., 2002
). Here we show that loss of the Mad2 homologue causes inactivation of the SAC in Drosophila S2 cells. To find out whether Mad2 is required for the kinetochore localization of other checkpoint components, we performed immunolocalization studies against other checkpoint proteins. We find that all three proteins tested (Bub1, Bub3, and BubR1) show strong accumulation at kinetochores, demonstrating that they do not require Mad2 for their localization and also that proper kinetochore localization of these checkpoint components does not per se prevent premature mitotic exit. Previous studies in Xenopus and HeLa cells were performed in the presence of microtubule poisons, and therefore it was unclear whether the absence of protein localization reflected a hierarchical relationship or the inability to analyze a large number of mitotic cells because of fast mitotic exit (Chen, 2002
; Johnson et al., 2004
). Because individual depletion of Bub3 in Drosophila (Lopes et al., 2005
) and analysis of the hypomorphic allele of BubR1 (Basu et al., 1999
) resulted in a nonfunctional SAC response, it is very likely that these proteins work through parallel signaling pathways that are mutually required at some stage to sustain checkpoint activity. Consistent with previous work, it seems probable that removing Mad2 may abrogate the spindle checkpoint not only because a sensor is being removed, but because the MCC (a far more potent APC/C inhibitor; Sudakin et al., 2001
) cannot form in its absence.
Mad2-depleted Cells Show Abnormal Progression through Mitosis and Aneuploidy
Previous results have shown that inactivation of Mad2 by antibody microinjection during either prophase or prometaphase induced abnormal sister chromatid segregation in PtK1 cells (Gorbsky et al., 1998
). Our phenotypic analysis revealed that Drosophila S2 cells lacking Mad2 also display severe abnormalities during mitotic progression. Mad2-depleted cells fail to reach metaphase and exit mitosis with extensive chromatin bridges. The anaphase bridges formed by Mad2-depleted cells appear to be exclusively due to a premature exit from mitosis because extending the time spent in mitosis is enough to revert this phenotype. This is fully consistent with recent data suggesting that proper chromosome condensation and sister chromatid resolution is only fully completed during early prometaphase (Maeshima and Laemmli, 2003
). Furthermore, our results suggest that in S2 cells, full chromosome condensation is only achieved late in prometaphase, after the minimal time cells spend in prometaphase when the SAC is inactivated. This is in full agreement with our previous analysis of mitotic progression in Bub3-depleted cells (Lopes et al., 2005
), where it was shown that in the absence of Bub3 the SAC is inactive but that cells do not exit mitosis with inappropriately condensed chromosome because of an extended period in prophase.
Several studies have shown that loss of SAC proteins causes PSCS and significant aneuploidy (Kops et al., 2005
). We find that loss of Mad2 causes premature degradation of cohesins during prometaphase resulting in high levels of PSCS. In addition, quantification of kinetochore segregation at anaphase shows that loss of Mad2 results in a high frequency of cells showing unequal kinetochore segregation. Furthermore, FACS analysis shows that the DNA content of the mitotic population changes significantly over time in the absence of Mad2. These results suggest that unlike in yeast where MAD2 is not essential for chromosome segregation (Cohen-Fix and Koshland, 1997
), Drosophila Mad2 is required to maintain the long viability of cells.
Mad2 Role in Timing of Prometaphase Is Essential for SAC Activation
Early studies on the role of Mad2 in the SAC response using cultured animal cells revealed premature anaphase onset (Gorbsky et al., 1998
). More recently, it was found that the mitotic clock of unsynchronized rat basophilic leukemia cells has a marked precision in which
80% of cells complete mitosis in 32 ± 6 min and that Mad2 inactivation in these cells consistently shortened mitosis (Jones et al., 2004
). Furthermore, depletion of Mad2 by RNAi showed that HeLa cells exit mitosis prematurely (Meraldi et al., 2004
). Our results are fully consistent with this data because depletion of Mad2 in S2 cells causes a threefold reduction in the time from NEBD to anaphase onset. Interestingly, these same studies proposed a role of Mad2 in timing mitotic progression that is more complicated that previously expected. It was shown in HeLa cells that inactivation of kinetochore-bound Mad2 disrupts the SAC without significantly affecting the timing of mitotic progression. However, when the cytosolic pool of Mad2 present in these cells is depleted, then both the SAC response is abnormal and the timing of NEBD to anaphase onset is severely reduced, suggesting that Mad2 is also required to time mitotic progression in a kinetochore-independent manner. This contrasts with current models which propose that Mad2 plays an essential role in SAC activation and maintenance by providing a kinetochore-based signal that inhibits the APC/C (Musacchio and Hardwick, 2002
). Our observations suggest a much more subtle role for Mad2 in ensuring a SAC response. Surprisingly, we find that after a transient mitotic arrest, Mad2-depleted cells were able to respond to spindle damage and arrest in mitosis with cohesin still located at the centromere of chromosomes and high kinetochore levels of BubR1, suggesting that the SAC is fully functional. Thus, providing time in a checkpoint-independent and transient manner appears to be sufficient for Mad2-depleted cells to either reactivate or maintain SAC activity and respond correctly to microtubule depolymerization. Given that this sustained SAC activity cannot be observed after depletion of other SAC proteins such as BubR1, we hypothesize that the APC/C inhibitory signal provided by Mad2 is specifically required during early stages of prometaphase to ensure maintenance of SAC activity. Subsequently, SAC activity could be ensured by other checkpoint proteins such as BubR1 that could then accumulate strongly at kinetochores. These observations are in full accordance with previous biochemical studies that identified at the G2-M transition the MCC, a multisubunit complex containing BubR1-Mad2-Bub3-Cdc20 (Sudakin et al., 2001
). The MCC was shown to be the most powerful APC/C inhibitor (Sudakin et al., 2001
; Tang et al., 2001
; Sudakin and Yen, 2004
). Interestingly, formation of the MCC does not require unattached kinetochores given that it is present well before the NEBD. Taken together, these observations have suggested a "two-step" model for the activation and maintenance of SAC activity (Chan et al., 2005
). This model proposes a first step involving the formation of the MCC as cells reach the G2/M transition, allowing cyclin accumulation and mitotic entry. Subsequently, in a second step after NEBD, SAC proteins can bind unattached kinetochores and produce additional inhibitory complexes that sustain SAC activity until all kinetochore pairs are properly attached and congression is achieved. Subsequent studies both in yeast (Fraschini et al., 2001
) and Drosophila (Lopes et al., 2005
) provide strong support for this model. Our results reported here, provide a further refinement of this model in that the second step can be separated into two events: one at NEBD when cytoplasmic Mad2 is required to extend prometaphase and provide enough time so that in a second event, SAC proteins such as BubR1 and Bub3 can fully engage checkpoint activity. Further studies on the role of Mad2 and other SAC proteins in the inhibitory activity of the MCC before and during early stages of mitosis will be required to unravel how the different levels of regulation are organized. Nevertheless, our observations provide new insights into how the signals provided by different SAC proteins might contribute to a fully integrated checkpoint response.
| ACKNOWLEDGMENTS |
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| Footnotes |
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The online version of this article contains supplemental material at MBC Online (http://www.molbiolcell.org). ![]()
Address correspondence to: Claudio E. Sunkel (cesunkel{at}ibmc.up.pt)
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