HURP controls spindle dynamics to promote proper interkinetochore tension and efficient kinetochore capture

Through a functional genomic screen for mitotic regulators, we identified hepatoma up-regulated protein (HURP) as a protein that is required for chromosome congression and alignment. In HURP-depleted cells, the persistence of unaligned chromosomes and the reduction of tension across sister kinetochores on aligned chromosomes resulted in the activation of the spindle checkpoint. Although these defects transiently delayed mitotic progression, HeLa cells initiated anaphase without resolution of these deficiencies. This bypass of the checkpoint arrest provides a tumor-specific mechanism for chromosome missegregation and genomic instability. Mechanistically, HURP colocalized with the mitotic spindle in a concentration gradient increasing toward the chromosomes. HURP binds directly to microtubules in vitro and enhances their polymerization. In vivo, HURP stabilizes mitotic microtubules, promotes microtubule polymerization and bipolar spindle formation, and decreases the turnover rate of the mitotic spindle. Thus, HURP controls spindle stability and dynamics to achieve efficient kinetochore capture at prometaphase, timely chromosome congression to the metaphase plate, and proper interkinetochore tension for anaphase initiation

Cdk1 phosphorylation of BubR1 controls spindle checkpoint arrest and Plk1-mediated formation of the 3F3/2 epitope

Accurate chromosome segregation is controlled by the spindle checkpoint, which senses kinetochore– microtubule attachments and tension across sister kinetochores. An important step in the tension-signaling pathway involves the phosphorylation of an unknown protein by polo-like kinase 1/Xenopus laevis polo-like kinase 1 (Plx1) on kinetochores lacking tension to generate the 3F3/2 phosphoepitope. We report here that the checkpoint protein BubR1 interacts with Plx1 and that phosphorylation of BubR1 by Plx1 generates the 3F3/2 epitope. Formation of the BubR1 3F3/2 epitope by Plx1 requires a prior phosphorylation of BubR1 on Thr 605 by cyclin-dependant kinase 1 (Cdk1). This priming phosphorylation of BubR1 by Cdk1 is required for checkpoint-mediated mitotic arrest and for recruitment of Plx1 and the checkpoint protein Mad2 to unattached kinetochores. Biochemically, formation of the 3F3/2 phosphoepitope by Cdk1 and Plx1 greatly enhances the kinase activity of BubR1. Thus, Cdk1-mediated phosphorylation of BubR1 controls checkpoint arrest and promotes the formation of the kinetochore 3F3/2 epitope

The checkpoint protein Chfr is a ligase that ubiquitinates Plk1 and inhibits Cdc2 at the G2 to M transition

The checkpoint protein Chfr delays entry into mitosis, in the presence of mitotic stress (Scolnick, D.M., and T.D. Halazonetis. 2000. Nature. 406:430–435). We show here that Chfr is a ubiquitin ligase, both in vitro and in vivo. When transfected into HEK293T cells, Myc–Chfr promotes the formation of high molecular weight ubiquitin conjugates. The ring finger domain in Chfr is required for the ligase activity; this domain auto-ubiquitinates, and mutations of conserved residues in this domain abolish the ligase activity. Using Xenopus cell-free extracts, we demonstrated that Chfr delays the entry into mitosis by negatively regulating the activation of the Cdc2 kinase at the G2–M transition. Specifically, the Chfr pathway prolongs the phosphorylated state of tyrosine 15 in Cdc2. The Chfr-mediated cell cycle delay requires ubiquitin-dependent protein degradation, because inactivating mutations in Chfr, interference with poly-ubiquitination, and inhibition of proteasomes all abolish this delay in mitotic entry. The direct target of the Chfr pathway is Polo-like kinase 1 (Plk1). Ubiquitination of Plk1 by Chfr delays the activation of the Cdc25C phosphatase and the inactivation of the Wee1 kinase, leading to a delay in Cdc2 activation. Thus, the Chfr pathway represents a novel checkpoint pathway that regulates the entry into mitosis by ubiquitin-dependent proteolysis

Global bifurcation and nodal solutions for homogeneous Kirchhoff type equations

In this paper, we shall study unilateral global bifurcation phenomenon for the following homogeneous Kirchhoff type problem

Nuf2 and Hec1 Are Required for Retention of the Checkpoint Proteins Mad1 and Mad2 to Kinetochores

Members of the Ndc80/Nuf2 complex have been shown in several systems to be important in formation of stable kinetochore-microtubule attachments and chromosome alignment in mitosis 1, 2, 3, 4, 5, 6, 7, 8 and 9. In HeLa cells, we have shown that depletion of Nuf2 by RNA interference (RNAi) results in a strong prometaphase block with an active spindle checkpoint, which correlates with low but detectable Mad2 at kinetochores that have no or few stable kinetochore microtubules [5]. Another RNAi study in HeLa cells reported that Hec1 (the human Ndc80 homolog) is required for Mad1 and Mad2 binding to kinetochores and that kinetochore bound Mad2 does not play a role in generating and maintaining the spindle assembly checkpoint [6]. Here, we show that depletion of either Nuf2 or Hec1 by RNAi in HeLa cells results in reduction of both proteins at kinetochores and in the cytoplasm. Mad1 and Mad2 concentrate at kinetochores in late prophase/early prometaphase but become depleted by 5-fold or more over the course of the prometaphase block, which is Mad2 dependent. The reduction of Mad1 and Mad2 is reversible upon spindle depolymerization. Our observations support a model in which Nuf2 and Hec1 function to prevent microtubule-dependent stripping of Mad1 and Mad2 from kinetochores that have not yet formed stable kinetochore-microtubule attachments

Spindle Checkpoint Protein Dynamics at Kinetochores in Living Cells

BACKGROUND: To test current models for how unattached and untense kinetochores prevent Cdc20 activation of the anaphase-promoting complex/cyclosome (APC/C) throughout the spindle and the cytoplasm, we used GFP fusions and live-cell imaging to quantify the abundance and dynamics of spindle checkpoint proteins Mad1, Mad2, Bub1, BubR1, Mps1, and Cdc20 at kinetochores during mitosis in living PtK2 cells. RESULTS: Unattached kinetochores in prometaphase bound on average only a small fraction (estimated at 500-5000 molecules) of the total cellular pool of each spindle checkpoint protein. Measurements of fluorescence recovery after photobleaching (FRAP) showed that GFP-Cdc20 and GFP-BubR1 exhibit biphasic exponential kinetics at unattached kinetochores, with approximately 50% displaying very fast kinetics (t1/2 of approximately 1-3 s) and approximately 50% displaying slower kinetics similar to the single exponential kinetics of GFP-Mad2 and GFP-Bub3 (t1/2 of 21-23 s). The slower phase of GFP-Cdc20 likely represents complex formation with Mad2 since it was tension insensitive and, unlike the fast phase, it was absent at metaphase kinetochores that lack Mad2 but retain Cdc20 and was absent at unattached prometaphase kinetochores for the Cdc20 derivative GFP-Cdc20delta1-167, which lacks the major Mad2 binding domain but retains kinetochore localization. GFP-Mps1 exhibited single exponential kinetics at unattached kinetochores with a t1/2 of approximately 10 s, whereas most GFP-Mad1 and GFP-Bub1 were much more stable components. CONCLUSIONS: Our data support catalytic models of checkpoint activation where Mad1 and Bub1 are mainly resident, Mad2 free of Mad1, BubR1 and Bub3 free of Bub1, Cdc20, and Mps1 dynamically exchange as part of the diffuse wait-anaphase signal; and Mad2 interacts with Cdc20 at unattached kinetochores

Global bifurcation and nodal solutions for homogeneous Kirchhoff type equations

In this paper, we shall study unilateral global bifurcation phenomenon for the following homogeneous Kirchhoff type problem \begin{equation*} \begin{cases} -\left(\int_0^1 \left\vert u'\right\vert^2\,dx\right)u''=\lambda u^3+h(x,u,\lambda)&\text{in}\,\, (0,1),\\ u(0)=u(1)=0. \end{cases} \end{equation*} As application of bifurcation result, we shall determine the interval of $\lambda$ in which there exist nodal solutions for the following homogeneous Kirchhoff type problem \begin{equation*} \begin{cases} -\left(\int_0^1 \left\vert u'\right\vert^2\,dx\right) u''=\lambda f(x,u)&\text{in}\,\, (0,1),\\ u(0)=u(1)=0, \end{cases} \end{equation*} where $f$ is asymptotically cubic at zero and infinity. To do this, we also establish a complete characterization of the spectrum of a homogeneous nonlocal eigenvalue problem

Spindle Checkpoint Protein Dynamics at Kinetochores in Living Cells

BACKGROUND: To test current models for how unattached and untense kinetochores prevent Cdc20 activation of the anaphase-promoting complex/cyclosome (APC/C) throughout the spindle and the cytoplasm, we used GFP fusions and live-cell imaging to quantify the abundance and dynamics of spindle checkpoint proteins Mad1, Mad2, Bub1, BubR1, Mps1, and Cdc20 at kinetochores during mitosis in living PtK2 cells. RESULTS: Unattached kinetochores in prometaphase bound on average only a small fraction (estimated at 500-5000 molecules) of the total cellular pool of each spindle checkpoint protein. Measurements of fluorescence recovery after photobleaching (FRAP) showed that GFP-Cdc20 and GFP-BubR1 exhibit biphasic exponential kinetics at unattached kinetochores, with approximately 50% displaying very fast kinetics (t1/2 of approximately 1-3 s) and approximately 50% displaying slower kinetics similar to the single exponential kinetics of GFP-Mad2 and GFP-Bub3 (t1/2 of 21-23 s). The slower phase of GFP-Cdc20 likely represents complex formation with Mad2 since it was tension insensitive and, unlike the fast phase, it was absent at metaphase kinetochores that lack Mad2 but retain Cdc20 and was absent at unattached prometaphase kinetochores for the Cdc20 derivative GFP-Cdc20delta1-167, which lacks the major Mad2 binding domain but retains kinetochore localization. GFP-Mps1 exhibited single exponential kinetics at unattached kinetochores with a t1/2 of approximately 10 s, whereas most GFP-Mad1 and GFP-Bub1 were much more stable components. CONCLUSIONS: Our data support catalytic models of checkpoint activation where Mad1 and Bub1 are mainly resident, Mad2 free of Mad1, BubR1 and Bub3 free of Bub1, Cdc20, and Mps1 dynamically exchange as part of the diffuse wait-anaphase signal; and Mad2 interacts with Cdc20 at unattached kinetochores

An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application

The immersed boundary (IB) method originated by Peskin has been popular in modeling and simulating problems involving the interaction of a flexible structure and a viscous incompressible fluid. The Navier–Stokes (N–S) equations in the IB method are usually solved using numerical methods such as FFT and projection methods. Here in our work, the N–S equations are solved by an alternative approach, the lattice Boltzmann method (LBM). Compared to many conventional N–S solvers, the LBM can be easier to implement and more convenient for modeling additional physics in a problem. This alternative approach adds extra versatility to the immersed boundary method. In this paper we discuss the use of a 3D lattice Boltzmann model (D3Q19) within the IB method. We use this hybrid approach to simulate a viscous flow past a flexible sheet tethered at its middle line in a 3D channel and determine a drag scaling law for the sheet. Our main conclusions are: (1) the hybrid method is convergent with first-order accuracy which is consistent with the immersed boundary method in general; (2) the drag of the flexible sheet appears to scale with the inflow speed which is in sharp contrast with the square law for a rigid body in a viscous flow