Pole-to-chromosome movements induced at metaphase: sites of microtubule disassembly VICTORIA E. CENTONZE* and GAEY G. BORISY University of Wisconsin-Madison, Laboratory of Molecular Biology, 1525 Linden Drive, Madison, WI53706, USA •Author for correspondenceat: present address: Integrated Microscopy Resource, University of Wisconsin, 1675 Observatory Dr., Madison, WI 53706, USA Summary Metaphase spindles can be induced to shrink by treating cells with microtubule-depolymerizing agents. During treatment, the paired sister chromatids remain at the metaphase plate and the poles move toward them. The question we asked is whether this pole-to-chromosome movement was accompanied by a loss of subunits from the kinetochore ends of the microtubules, the polar ends, or both ends. LLC-PK cells were injected at late prometaphase with Xrhodamine tubulin and at metaphase the fluorescent spindles were marked by photobleaching a bar between one pole and the chromosomes. Nocodazole at low concentrations was briefly applied to the cells to induce the shortening of the spindle and movement of the poles inward toward the chromosomes. In the induced shortening, the distance between the photobleached bar and the chromosomes decreased substantially while the distance between the bar and the pole showed a smaller change. Upon reversal from nocodazole, new polymer was added to the spindle as determined by recovery of fluorescence, and the cells progressed through mitosis and cytokinesis. We conclude that the movement of the poles to the chromosomes induced by nocodazole treatment during metaphase is similar to the chromosome-to-pole movement occurring during anaphase in that under both conditions the primary site for kinetochore microtubule disassembly is at the kinetochore. Introduction al. 1987, 1988; Nicklas, 1989). However, recent experiments by Mitchison (1989) indicate that metaphase microtubules exhibit a slow poleward flux of subunits. The flux is too slow to account entirely for anaphase chromosome movement but it may provide a redundant mechanism for segregation. It may also have a role in congression. An open question is whether the forces responsible for poleward movement of a kinetochore at anaphase are operational in both prometaphase and metaphase (Wise, 1978; Pickett-Heaps etal. 1982). The prometaphase stretch of chromosomes indicates a poleward force acting early in mitosis on kinetochores of sister chromatids (HughsSchrader, 1943; Hughs-Schrader, 1947). The poleward force acting on one kinetochore is counterbalanced by the force pulling its sister kinetochore toward the opposite pole (Nicklas and Koch, 1969). This results in a net force of zero until anaphase when the sister chromatids separate. When one kinetochore of a prometaphase or metaphase chromosome is ablated with a laser beam, the whole chromosome moves toward the pole to which the unirradiated kinetochore is attached (McNeill and Berns, 1981; Hays and Salmon, 1990). By damaging one kinetochore the bipolar tension is disrupted and the force acting on the undamaged kinetochore can be observed. We wanted to investigate whether the poleward force operating in prometaphase and metaphase is related to the poleward force of anaphase. Anaphase A is characterized by the decrease in distance between the chromosomes and the pole to which they are attached. Movement of Anaphase is defined as the disjunction of sister chromatids followed by their physical separation to opposite poles of the mitotic spindle. In contrast, congression refers to the prometaphase movement of chromosomes toward the equator, including frequently occurring oscillations about the equatorial plane (Nicklas, 1971; Salmon, 1989). The prometaphase movement of chromosomes toward a pole shares with anaphase the property that the microtubules connecting the chromosome to the pole shorten. However, the molecular basis of poleward movement and whether anaphase and prometaphase employ the same or different mechanisms has yet to be established. Chromosome movement may be the result of a forcegenerating translocator (Rieder and Alexander, 1990; Hyman and Mitchison, 1991), such as a dynein or a kinesin-like molecule, located at the kinetochore (Steuer et al. 1990; Pfarr et al. 1990). Alternatively, chromosome movement may be driven by the disassembly of the microtubules to which the chromosomes are attached, and models invoking conformational changes in the tubulin lattice or biased diffusion with multiple binding sites have been proposed (Hill, 1985; Garel et al. 1987; Koshland et al. 1988). Previous experiments have shown that as a chromosome moves poleward in anaphase, its kinetochore microtubules remain essentially stationary and disassemble primarily from the kinetochore end (Mitchison et al. 1986; Gorbsky et Journal of Cell Science 100, 205-211 (1991) Printed in Great Britain © The Company of Biologists Limited 1991 Key words: mitosis, metaphase, microtubule dynamics, nocodazole. 205 chromosomes to the pole can be induced at metaphase by placing mitotic cells under microtubule-destabilizing conditions. Cold, hydrostatic pressure and drugs such as colchicine and nocodazole induce the spindle to shorten (Inoue and Ritter, 1975; Salmon, 1975; DeBrabander et al. 1986). As the spindle shortens, the poles are drawn to the chromosomes, which remain at the metaphase plate (Cassimeris et al. 1990). This movement can be viewed as an anaphase-like movement, since the kinetochore microtubules shorten as the distance between the pole and chromosomes decreases. Using this treatment in combination with fluorescence imaging and photobleaching, we evaluated whether the kinetochore microtubules disassemble at the kinetochore as they do at anaphase (Gorbsky et al. 1987, 1988), at the pole as would be predicted by microtubule flux (Mitchison, 1989), or at both ends due to a general destabilization of the microtubule polymer. Materials and methods Cell culture and microinjection LLC-PK cells were cultured in DME medium (Gibco, Grand Island, NY) supplemented with 10 % fetal bovine serum (Hyclone Lab., Logan, UT), 20 mM Hepes and antibiotics. Two days prior to an experiment, the cells were cultured onto coverslips marked with a carbon locator pattern and mounted in plastic 35 mm Petri dishes modified for microinjection (Gorbsky et al. 1987). Prometaphase cells were injected with Xrhodamine-derivatized tubulin (Gorbsky et al. 1988; Sammak and Borisy, 1988) with a dye to protein ration of 0.5:1.0. After microinjection the cells were returned to the incubator until they reached metaphase. Photobleaching As previously described (Sammak et al. 1987) an argon ion laser beam (Spectra-Physics, Inc., Mountain View, CA) was focused through a 300 mm focal length lens and a 200 mm focal length cylindrical lens to produce a bar-shaped beam. This beam was directed through the epi-illumination path of a Zeiss IM-35 microscope (Carl Zeiss, Inc., Thornwood, NY) and focused through a Zeiss 100 X planapo objective, NA 1.3 to produce a Gaussian bar of width=1.3/nn (measured at one-half peak intensity). Cells were positioned on the microscope stage so that the long axis of the spindle was perpendicular to the bar-shaped beam. Irradiation time was set to 100 ms with an electronically controlled shutter (Vincent Associates, Uniblitz, Rochester, NY). Nocodazole treatment, lysis and fixation After photobleaching, a fluorescence image of the marked spindle was recorded with a CCD image sensor as described below. The DME medium was then aspirated from the injection dish and replaced with medium containing 0.04, 0.08 or 0.12/igml" 1 of nocodazole. The cells were incubated with nocodazole for 3-5 min after which an image of the treated spindle was recorded. The nocodazole-containing medium was aspirated from the dish and replaced with fresh medium. The cells released from nocodazole were monitored for recovery of fluorescence in the spindle and for completion of mitosis. While on the microscope stage, the cells were maintained at 33 °C to 37 °C by an air curtain incubator (Nicholson Precision Instruments, Inc., Gaithersburg, MD). To minimize evaporation, the dish was kept covered whenever possible. The cells were not kept out of a 5 % CO2 atmosphere longer than 30 min. For long-term monitoring, the cells were kept in a tissue culture incubator and placed back on the warmed stage for observation. Observation and analysis Efforts were made to minimize the total amount of irradiation delivered to each cell. For scanning and focussing, the mercury arc source was attenuated with neutral density filters and images were collected with a SIT camera (SIT-66, Dage MTI Inc., 206 V. E. Centonze and G. G. Borisy Michigan City, IN) and Quantex (QX-9200, Quantex Corp., Sunnyvale, CA) image processor. In general, three frames (0.1s exposure) were grabbed, digitized and averaged. These images were noisy but adequate for determining focal level. For higher quality and for quantitation, fluorescence images were recorded with the cooled CCD image sensor (model 200, Photometric Inc., Tucson, AZ) and the mercury arc source was not attenuated. In total, each cell received less than 5 s equivalent of irradiation with an unattenuated mercury arc source. The images were digitized to 14 bit depth and stored on a WORM drive optical disk (type 3363, IBM Corp., Armonk, NY). The stored images were later analyzed using the Photometries imaging software. The fluorescent spindle was positioned in each image with its long axis aligned on the horizontal axis. The intensity values for each vertical row of 25 pixels above and below the spindle axis were averaged using the image processor and displayed as a plot of the averaged intensities uersus their horizontal pixel position. Hard copies of the graphs were obtained by means of a video printer (model P-61U, Mitsubishi Electric, Rancho Dominguez, CA). The poles were defined as the pixel positions along the outermost descending limbs of the plot where the intensity value was 80% of the peak value. The spindle equator was denned as the pixel equidistant between the poles. The position of the bleached bar was defined as the pixel in the center of the trough of reduced fluorescence. Pixel distances were later calibrated to micrometers using the image of a stage micrometer. Results Excessive irradiation of fluorescently derivatized tubulin could perturb the progression of the cell through mitosis as well as cause structural damage to the microtubules containing derivatized subunits (Vigers et al. 1988), thus creating artifactual results. From previous experiments we have determined the doses of light from both the mercury arc source and the laser, which cause ultrastructural damage to microtubules (Centonze and Borisy, 1989; Centonze and Borisy, unpublished data). In the work presented here, each cell was subjected to an imaging and photobleaching protocol such that the total dose of light delivered was below the level required to cause detectable structural damage. To verify lack of damage to kinetochore microtubules in the spindle, photobleached cells were lysed, fixed and processed for anti-tubulin immunofluorescence. At the light-microscopic level, the indirect immunofluorescence showed that kinetochore fibers were continuous through the photobleached zone (data not shown). Similar results were obtained by Gorbsky and Borisy (1989) and microtubule integrity was confirmed by electron microscopy of irradiated cells. Thus, our protocol of photobleaching and imaging did not appear to affect the microtubules of the spindle or the progression of the cell through mitosis. Fig. 1 shows a series of micrographs of the direct fluorescence image of a spindle from a cell previously injected with Xrhodamine tubulin. Prior to photobleaching (Fig. 1A), the spindle appears symmetric with respect to the metaphase plate and the corresponding fluorescence intensity profile (Fig. 1A') along the length of the spindle demonstrates an equal distribution of fluorescent material in each half of the spindle, indicating an equivalent amount of incorporation of derivatized tubulin. After photobleaching (Fig. IB), a distinct bar of reduced fluorescence is seen in the irradiated half-spindle, corresponding to the trough in the intensity profile (Fig. IB')- The laser produced a bleached zone approximately 1.5 jan wide, as would be expected from the width of the Gaussian profile of the beam (see Materials and methods; and Fig. 1. Nocodazole-induced pole-to-chromosome movement. An LLC-PK cell was microinjected with Xrhodamine tubulin and analyzed byfluorescencedigital imaging. Panels show the directfluorescenceimages and thefluorescenceintensity distribution along the spindle axis as determined with a CCD image sensor. (A,A') A metaphase cell prior to laser irradiation. The distance between the poles (P-P) is 20 /an. (B,B') A bleached bar, b, was placed 3.5//m from the pole, P, and 7.0/im from the spindle1 equator, Eq. (C,C) After a 3min treatment with 0.08/igml" nocodazole, the poles, P', and the bleached bar, b', have moved closer to the chromosomes at the spmdle equator, Eq, resulting in a P' to P' distance of 16 /an. The P' to b' distance remained 3.5/an. The b' to Eq distance decreased by 2 /an, which accounts for the observed decrease in length of the half-spindle. ently corresponded to the center of the centrosomes seen in phase-contrast micrographs of the same spindles (see Gorbsky et al. 1988). Cells were treated briefly with a low dose of nocodazole to induce depolymerization of microtubules (Fig. 1C). The intensity profile (Fig. 1C) shows a decrease in fluorescence throughout the entire spindle; however, the kinetochore bundles remained distinct. This suggests, as other workers have reported (DeBrabander et al. 1986; Cassimeris, et al. 1990), that the drug treatment preferentially depolymerizes non-kinetochore microtubules emanating from the centrosome, leaving the previously established kinetochore bundles relatively intact. The poles of the mitotic spindle were drawn toward the chromosomes with both poles moving an equal distance. The rate of pole-to-chromosome movement in this cell was 0.7/nnmin" 1 , which approximates the rate of chromosome-to-pole movement observed at anaphase (Gorbsky et al. 1988). Cells treated with nocodazole concentrations of 0.04jUgml-1 showed less movement while those treated with 0.12//gml" 1 showed more movement (data not shown). As reported previously (Mullins and Snyder, 1981; Vandre and Borisy, 1989), higher concentrations of nocodazole disrupted the metaphase configuration; kinetochore fibers dissociated from the poles and disassembled, and the chromosomes at the metaphase plate became disorganized. Careful comparison of the fluorescence intensity profiles of the untreated (Fig. IB') and the treated cell (Fig. 1C) revealed that the distance between the pole and the bleached bar did not change substantially even though there was a pronounced decrease in the distance between the pole and the chromosomes, which remained at the spindle equator. This result indicates that as the distance between the poles and chromosomes decreases, tubulin is lost from the kinetochore fibers that are equatorial to the bleached bar. I enuth I mil) Centonze and Borisy, 1989). The position of the bleached bar was taken as the center of the trough. The positions of the poles were determined from the fluorescent images. The poles were assigned to a point just beyond the peak of microtubule fluorescence since this position most consist- Fig. 2 shows that the nocodazole-induced shortening is reversible. A bleached bar was placed on one half-spindle and the original position of the bar and the poles were noted (Fig. 2A,A'). After treatment with O.OS^gml"1 nocodazole for 3min, the poles moved 1.5/nn toward the spindle equator at a rate of 0.5/nnmin" 1 while the distance between the pole and the bleached bar remained unchanged (Fig. 2B,B'). After lOmin in medium without nocodazole, the spindle length and fluorescence intensity increased up to initial levels, interpolar microtubules reappeared, and the bleached bar was no longer visible (Fig. 2C,C). The fluorescence recovery suggests both that non-kinetochore microtubules have nucleated and grown from the centrosomes and that the kinetochore microtubules have turned over their polymer and elongated. Pole-to-chromosome movements induced at metaphase 207 Fig. 2. Recovery from nocodazole treatment. (A,A') A metaphase spindle with a pole-to-pole distance of 12.5 /on was marked with a bleached bar, b, 2.1 /an from a pole and 4.4//m from the spindle equator, Eq. (B,B') After a 3min treatment with 0.08/(gml" 1 nocodazole the poles, P', and the bleached bar, b', have moved closer to the equator, Eq, resulting in a P' to P' distance of 9.5/an. The P' to b' distance remained 2.1/on. The b' to Eq distance decreased by 1.5/an, equal to the decrease in the length of the half-spindle. (C,C) The nocodazole-containing medium was washed from the cell and replaced with fresh medium. Within 5min new polymer was added to the spindle as evidenced by the disappearance of the bleached zone and the increase in fluorescence intensity of the spindle. The spindle has also increased in length. E 3- i 2- XI u 1- 2 '•3 a7 1 S 0 o -1 0 1 1 -+2 3 4 Decrease in P-b distance (/mi) 5 Fig. 3. Quantitative analysis of pole-to-chromosome movement. (A) Decrease in b-Eq distance versus decrease in P-Eq distance. The equation of this line is Y=0.89±0.12 X+0.14±0.25 [fl2=0.9]. This plot indicates a direct correlation between the movement of the bleached bar toward the chromosomes with the decrease in spindle length. (B) Decrease in P-b distance versus decrease in P-Eq distance. The equation of this line is Y=0.18±0.12 X-0.14±0.25 [R2=0.3]. This plot indicates that the movement of the pole to the bleached bar does not correlate with the decrease in spindle length. (Errors were determined within a 95 % confidence interval.) Number of cells plotted=27. Length (/mi) The cell subsequently divided, indicating that the drug treatment and photobleaching produced no irreversible damage to mitotic function. The graphs in Fig. 3 summarize the results from 27 cells. If the induced shortening occurred exclusively by the loss of subunits at the kinetochore, the kinetochore microtubules (and the bleached bar marking them) would 208 V. E. Centonze and G. G. Borisy be expected to move at the same rate and to the same extent as the poles move towards the chromosomes. The plot of the decrease in bleached bar-to-equator distance versus the decrease in pole-to-equator distance in Fig. 3A gives a least-squares regression line with a slope that is not significantly different from unity. This indicates that the movement of the pole to the chromosome can be accounted for primarily by shortening of the kinetochore bundle at the kinetochore end. On the same assumption, one would expect no relative motion of the pole with respect to the bleached bar. Fig. 3B shows the analysis of the change in the pole-to-bleached bar distance with respect to the decrease in the pole-to-chromosome distance. The low correlation coefficient indicates that the distance between the pole and the bleached bar was only weakly related to the position of the poles and was certainly not sufficient to account for the decrease in the pole-to-chromosome distance. However, analysis of the data did reveal that the change in distance between the pole and the bleached bar was statistically significant, raising the possibility that tubulin subunits could be lost from the pole as well as from the kinetochore, albeit at a lower rate. There are several possible explanations for an apparent loss of subunits from the pole: poleward micro tubule flux (Mitchison, 1989), which implies that the connection of the microtubules to the pole is dynamic; destabilization of the pole end of the kinetochore microtubules by the nocodazole treatment; or, a systematic error in the designation of pole position in the nocodazole-treated cells leading to an apparent but not real movement. Measurements of poleto-pole distance and pole-to-bleached bar distance were made from graphs of fluorescence intensity profiles of the spindle (see Materials and methods). The position of the pole in the profiles of fluorescence intensity was assigned to the point that best corresponded to the position of the centrosome by comparison with phase-contrast micrographs (see Gorbsky et al. 1988). However, in the nocodazole-treated cells the peak of fluorescence narrowed as the astral microtubules depolymerized. As a result, the 80 % peak fluorescence position was closer to the equator even when there was no movement of the peak itself. Therefore, the assignment of the position of the poles at 80% of the peak may have introduced a small but systematic error biasing the results. Consequently, the R2 of the regression line plotted in Fig. 3B is probably an overestimate of the correlation between the change in pole-to-bleached bar distance and the decrease in pole-toequator distance. Our experiments have shown that the kinetochore is the primary site of subunit loss as microtubules shorten during drug induced pole-to-chromosome movement. The uncertainties in the analysis of the pole-to-bleached bar distance do not permit us to exclude the possibility that the pole is a secondary site for tubulin loss, but neither do the results demand it. Discussion Treatment of mitotic cells with low concentrations of nocodazole induces the spindle poles to be drawn in toward the chromosomes at the spindle equator. The relative motion is similar to anaphase, since the distance between the chromosomes and the poles decreases. Also, the rate at which the poles are drawn to the chromosomes is similar to the rate of chromosome movement during anaphase. Using fluorescent analogue cytochemistry and photobleaching we have visualized the spindle during nocodazole treatment and monitored the dynamics of spindle microtubules. Our data show that as the poles move toward the chromosomes the bleached bar marking them also moves, indicating that the kinetochore microtubules shorten by losing subunits primarily from the kinetochore end. The kinetochore end is also the primary site of subunit loss as the chromosomes move to the poles during anaphase. Therefore, with regard to the relative motion, its rate and magnitude, and the site of subunit loss, the two motions are similar. Poleward flux of microtubules, observed by Mitchison (1989), does not satisfy the requirements to be the motive force for either the nocodazole-induced movement or the movement of anaphase chromosomes. First, microtubule flux is characterized by subunit loss from the pole end of the microtubule, opposite to the primary site from which subunits are lost during nocodazole-induced movement and during anaphase. Second, the rate reported for flux in LLC-PK cells (0.3-0.7 jrni min" 1 ), although greater than the upper bound for pole end disassembly (<0.3jummin~1) seen in our experiments, is not sufficient to account for the rate of chromosome movement observed at anaphase (Gorbsky et al. 1987, 1988). An inference from our results is that the chromosomes at metaphase are subjected to a poleward force and that the poles are subjected to an equatorial force. Sister chromosomes remain at the equator because their poleward forces are equal and opposite. However, the poleward force, by Newton's third law, must also exert an equal and opposite force on the poles that would tend to cause the poles to move to the equator. The fact that this normally does not occur implies the existence of some resistive or opposing force operating on the poles, preventing their equatorial movement. Our results provide experimental evidence that the opposing force is nocodazole-sensitive, since the predicted equatorial movement of poles does occur in drug-treated cells. Since non-kinetochore microtubules are preferentially depolymerized under the conditions of nocodazole treatment employed, the results suggest that the opposing force is dependent upon the maintenance of the astral or non-kinetochore microtubules. Since little attention has been given in the literature to the existence or mechanism of the 'opposing force,' it is worth briefly exploring potential explanations. Four possible mechanisms for the opposing force may be considered, all of which share the property that the force is dependent on the continued presence of non-kinetochore microtubules. The opposing force may be the result of the polar ejection field generated by the dynamic instability of astral microtubules (Eieder et al. 1986). At anaphase the ejection field would normally decrease as the centrosome changes to an interphase state with a diminished capacity to nucleate microtubules (Kuriyama and Borisy, 1981; Snyder et al. 1982; Kuriyama, 1984). Nocodazole treatment would cause a similar decrease in the magnitude of the ejection field, since microtubule assembly would be blocked. A second model for the opposing force is based on interzonal microtubule crossbridges. Molecules that crosslink interpolar microtubules may be mechanochemical or structural. A motor molecule could exert an opposing force by causing antiparallel microtubules to slide against one another, generating an outward pushing force that would counterbalance the tendency of the poles to move inward (LaFountain, 1972; Mclntosh et al. 1989). Alternatively, the microtubule crossbridges could be purely structural links generating a rigid interpolar structure that would be strong under compression and therefore resist inward pole movement. Nocodazole treatment would destabilize the interpolar microtubules and, under either the mechanochemical or structural variation of this model, without these microtubules the poles would be free to be drawn toward the chromosomes at the equator. Pole-to-chromosome movements induced at metaphase 209 A third model for the opposing force results from the interaction of astral microtubules with translocator molecules. Minus-end-directed translocators could be bound by their non-ATP-sensitive site to an immovable structure in the cytoplasm or to the membrane cytoskeleton. Not being able to move toward the minus (pole) end of astral microtubules, the action of these translocators would be expressed as a pull on the poles away from the spindle equator. Alternatively, the translocators need not be attached to any permanent cytoplasmic structure. The active stroke of the translocators alone may exert enough force to act as 'oars' against the cytoplasm causing the poles to 'swim' away from the spindle equator. A requirement of these models is that the distribution of astral microtubules about the mitotic pole be asymmetric, being more highly developed on the cytoplasmic side, as is observed. Nocodazole treatment would depolymerize the astral microtubules and thus remove the structures on which the translocator molecules operate. A fourth model for a force opposing the movement of chromosomes to the pole invokes the presence of forcegenerating molecules at or near each sister kinetochore that are switched on and off. By in vitro motility assays and immunocytochemistry, it has been shown that kinetochores have associated with them both a plus-enddirected motor (Mitchison and Kirschner, 1985; Hyman and Mitchison, 1990) and a minus-end or pole-directed motor (Steuer et al. 1990; Pfarr et al. 1990; Hyman and Mitchison, 1991). Throughout prometaphase and metaphase, chromosomes oscillate about the metaphase plate (Ostergren, 1949, 1950; Nicklas, 1971; Centonze etal., unpublished data). As a chromosome moves poleward, the leading kinetochore could be pulling by means of a minusend-directed motor while the trailing kinetochore pushes by means of a plus-end-directed motor. Were this to be true, the Newtonian reaction forces on the poles would be opposite in character. The pulling of the leading kinetochore would tend to pull its pole inward whereas the pushing of the trailing kinetochore would tend to push its pole outward. After a reversal in the cycle of chromosome oscillation, the leading and trailing kinetochores would reverse roles and the signs of their reactive forces on the poles would also reverse, resulting in a net, time-averaged polar force of zero. Thus, the 'opposing force' would result from the activity and switching of motors of opposite force polarity operating at sister kinetochores. If nocodazole, by promoting depolymerization, diminished the activity of the plus-end motor or pushing force, the balance of forces would be upset and the poles would tend to be drawn inward. Finally, we note that motions of poles also occur at other stages of mitosis. In prophase, the asters move apart to establish the poles of the mitotic spindle and, in anaphase B the poles move apart, augmenting the separation between the sister chromosomes. Whether the forces implied by these motions are related to the opposing force revealed in our experiments is a question warranting further investigation. While this work was in preparation, Cassimeris and Salmon (1991) in a study of the effects of nocodazole on newt lung cells reported essentially the same result that prometaphase or metaphase kinetochore microtubules shorten by loss of subunits at the kinetochores. 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