Bifurcations of nonlinear reaction-diffusion systems in oblate spheroids

Spontaneous pattern formation may arise in biological systems as primary and secondary bifurcations to nonlinear parabolic partial differential equations describing chemical reaction-diffusion systems. Bipolarity in mitosis and cleavage planes in cytokinesis may be related to this formation of prepatterns. Three dimensional prepatterns are investigated, as they emerge in flattened spheres (i.e. oblate spheroids). Pattern sequences and selection rules are established numerically. The results confirm previously recorded results of the spherical and prolate regions, upon which a prepattern theory of mitosis and cytokinesis is based. Especially, the phenomenon of 90 degree axis tilting and the formation of a highly symmetrical saddle shaped pattern, crucial for the prepattern theory of mitosis and cytokinesis, is examined. Present results show, that these phenomena are stabilized in oblate spheroids. The bipolar mitosis prepattern is found as well, although the polar axis may appear with an angle toward the axis of the oblate spheroid. These results are thus further support for the prepattern theory of mitosis and cytokinesis.     

Bifurcations in Turing systems of the second kind may explain blastula cleavage plane orientation

Spontaneous pattern formation (emergence of Turing structures) may take place in biological systems as primary and secondary bifurcations to nonlinear parabolic partial differential equations describing biochemical reaction-diffusion systems. Bipolarity in mitosis and cleavage planes in cytokinesis may be related to this formation of prepatterns. Cleavage planes in early blastulas have an apparently well controlled spatial relationship to the polarity known as the animal-vegetal (A-V) axis: the mitotic spindles form perpendicular to this axis in the first two division stages, with cleavage planes going strictly through the A-V poles. The third-stage spindles are parallel to the A-V axis, and cleavage is roughly in the equatorial plane, thus separating the A-V poles. The reason for these phenomena are poorly understood with current mitosis/cytokinesis models based on intrinsic spindle properties. It is shown here by numerical simulation that a simple modification to the usual Turing equations yields selection rules which lead directly to these orientations of the prepatterns, without any further ad hoc assumptions. These results strongly support the prepattern model for mitosis and cytokinesis and the viewpoint that prepatterns play a fundamental role in nature.     

Bifurcations of nonlinear reaction-diffusion systems in prolate spheroids

Spontaneous pattern formation may arise in biological systems as primary and secondary bifurcations to nonlinear parabolic partial differential equations describing chemical reaction-diffusion systems subject to zero flux boundary conditions. Prepatterns are investigated, which arise in the three dimensional region of a prolate spheroid (elongated sphere). Pattern sequences and selection rules are established numerically. The results confirm previously recorded results of the spherical region upon which a prepattern theory of mitosis and cytokinesis is based. New results described here establish the emerging patterns as reliable prepatterns ensuring bipolarity during elongation of biological cells, as seen in anaphase of the process of mitosis.     

Wavelike isomorphic prepatterns in development

The patterns generated by these mechanisms are usually wavelike spatial patterns in the distribution of the chemical components and/or physical properties of the organism or tissue being considered. In this paper the range of patterns generated by one of these mechanisms, namely the reaction-diffusion (RD) system (Turing, 1952), is reviewed and its potential to function as a source of isomorphic prepatterns for the regulation of development in a wide range of organisms is illustrated. Examples have been chosen to show the capacity of an RD system to generate a single stationary spatial prepattern, as well as a travelling wavelike spatial prepattern. However, the full potential of an RD system to regulate development stems from its capacity to spontaneously generate a temporal sequence of isomorphic stationary wavelike spatial prepatterns, rather than just a single isomorphic stationary spatial prepattern. To demonstrate this point the examples presented include the morphogenesis of the skin and some of its appendages, as well as the early decisions in the embryogenesis of Drosophila leading to segmentation. The mini-review begins by comparing the concepts of positional information and a temporal sequence of isomorphic prepatterns, which represent two quite different approaches to understanding the spatial and temporal regulation of cellular differentiation.     

Possible prepatterns governing mitosis: The mechanism of spindle-free chromosome movement in Aulacantha scolymantha

Computer simulation of spontaneous pattern formation in chemical reaction-diffusion systems within a sphere shows prepatterns to arise, which account for observed poleward migration and other chromosome distributions previously recorded experimentally in the spindle-free nuclear division of the radiolarian Aulacantha scolymantha. It is suggested, that the observed patterns played a role in the evolution of mitosis, and through cytoplasmic organisation still may be connected to observed spindle forces and -orientation, as well as cytokinesis, in present-day protozoans.     

Electron tomographic analysis of cytokinesis in the brown alga Silvetia babingtonii (Fucales,Phaeophyceae)

In brown algae, membrane resources for the new cell partition during cytokinesis are mainly flat cisternae (FCs) and Golgi-derived vesicles. We used electron tomography coupled with rapid freezing/freeze substitution of zygotes to clarify the structure of transient membrane compartments during cytokinesis in Silvetia zygotes. After mitosis, an amorphous membranous structure, considered to be an FC intermediate was observed near endoplasmic reticulum clusters, lying between two daughter nuclei. FCs were arrayed at the cytokinetic plane, and a tubular membranous network was formed around them. This network might be formed by the consecutive fusion of spherical vesicles that are linked to the edges of FCs to form a membranous network (MN). At the initial stage of the formation of a membranous sac (MS) from the MN, the MS had flat and swollen parts, with the latter showing membranous tunnels. Coated pits were detected with high frequency at the swollen parts of the MS. This observation indicated that membranous tunnels disappeared by recycling of excess membrane via endocytosis, and the swollen part became flat. The MN appeared at the edges of the growing MS. MN and the MN-MS complex were observed along the cytokinetic plane in several spaces. The MS expanded by the incorporation of MN or other MS in its neighborhood. With the maturation of the new cell partition membrane, the thickness of the MS became constant and the membrane cavity disappeared. The changes in the surface area and volume of the transient membrane compartment during cytokinesis were analyzed from the tomographic data.     

Stabilization of anaphase midzone microtubules is regulated by Rho during cytokinesis in human fibrosarcoma cells

The dynamics of astral and midzone microtubules (MTs) must be separately regulated during cell division, but the mechanism of selective stabilization of midzone MTs is poorly understood. Here we show that, in HT1080 cells, activation of Rho is required to stabilize midzone MTs, and to maintain the midzone structures after anaphase onset or during cytokinesis. Ect2-depleted cells undergoing conventional cytokinesis (cytokinesis A) or contractile ring-independent cytokinesis (cytokinesis B) formed abnormally thin bundles of midzone MTs. C3-loaded mitotic cells with inactivated Rho showed similar but more severe disorganization of midzone MTs. In addition, the bundles of astral MTs were abnormally abundant along the cell periphery in both Ect2-depleted and C3-loaded mitotic cells. Mitotic kinesin-like protein 1 (MKLP1), a component of the spindle midzone required for bundling of MTs, was localized only in the narrower equatorial regions in Ect2-depleted cells, and disappeared from the midzone accompanying the progression of the mitotic phase in C3-loaded cells. Stabilization of MTs by taxol was sufficient to maintain the midzone structures in C3-loaded mitotic cells. These results, when combined with a preceding analysis on another, microtubule-associated Rho GEF (C.J. Bakal, D. Finan, J. LaRose, C.D. Wells, G. Gish, S. Kulkarni, P. DeSepulveda, A. Wilde, R. Rottapel, The Rho GTP exchange factor Lfc promotes spindle assembly in early mitosis, Proc. Natl. Acad. Sci. U. S. A. 102 (2005) 9529–9534), suggest that mammalian cells have two potential steps that require active Rho for the stabilization of midzone MTs during mitosis and cytokinesis.     

EVI5 protein associates with the INCENP-aurora B kinase-survivin chromosomal passenger complex and is involved in the completion of cytokinesis

EVI5 has been shown to be a novel centrosomal protein in interphase cells. In this report, we demonstrate using immunofluorescence microscopy that EVI5 has a dynamic distribution during mitosis, being associated with the mitotic spindle through anaphase and remaining within the midzone and midbody until completion of cytokinesis. Knockdown of EVI5 using siRNA results in a multinucleate phenotype, which is consistent with an essential role for this protein in the completion of cytokinesis. The EVI5 protein also undergoes posttranslational modifications during the cell cycle, which involve phosphorylation in early mitosis and proteolytic cleavage during late mitosis and cytokinesis. Since the subcellular distribution of the EVI5 protein was similar to that characteristic of chromosomal passenger proteins during the terminal stages of cytokinesis, we used immunoprecipitation and GST pull-down approaches to demonstrate that EVI5 is associated with the aurora B kinase protein complex (INCENP, aurora B kinase and survivin). Together, these data provide evidence that EVI5 is an essential component of the protein machinery facilitating the final stages of cell septation at the end of mitosis.     

Endocytosis resumes during late mitosis and is required for cytokinesis

Recent work has underscored the importance of membrane trafficking events during cytokinesis. For example, targeted membrane secretion occurs at the cleavage furrow in animal cells, and proteins that regulate endocytosis also influence the process of cytokinesis. Nonetheless, the prevailing dogma is that endosomal membrane trafficking ceases during mitosis and resumes after cell division is complete. In this study, we have characterized endocytic membrane trafficking events that occur during mammalian cell cytokinesis. We have found that, although endocytosis ceases during the early stages of mitosis, it resumes during late mitosis in a temporally and spatially regulated pattern as cells progress from anaphase to cytokinesis. Using fixed and live cell imaging, we have found that, during cleavage furrow ingression, vesicles are internalized from the polar region and subsequently trafficked to the midbody area during later stages of cytokinesis. In addition, we have demonstrated that cytokinesis is inhibited when clathrin-mediated endocytosis is blocked using a series of dominant negative mutants. In contrast to previous thought, we conclude that endocytosis resumes during the later stages of mitosis, before cytokinesis is completed. Furthermore, based on our findings, we propose that the proper regulation of endosomal membrane traffic is necessary for the successful completion of cytokinesis.     

Nuclear envelope fission is linked to cytokinesis in budding yeast

We have investigated the relationship between nuclear envelope fission and cytokinesis during mitotic cell division in budding yeast. By carrying out time-lapse and optical sectioning video microscopy analysis of cells that express green fluorescent protein (GFP)-tagged nuclear envelope and actomyosin ring components, we found that nuclear division is temporally coupled to cytokinesis. Light and electron microscopy analysis also showed that nuclear envelope fission and the division of the nucleoplasm are severely delayed in cytokinesis mutants, resulting in discoupling between the nuclear division cycle and the budding cycle. These results suggest that homotypic membrane fusion may be activated by components or the mechanical action of cytokinetic structures and presents a mechanism for the equal partitioning of the nucleus and the temporal coordination of this event with chromosome segregation during mitosis.     

Forced expression of a dominant-negative chimeric tropomyosin causes abnormal motile behavior during cell division

Forced expression of the chimeric human fibroblast tropomyosin 5/3 (hTM5/3) in CHO cell was previously shown to affect cytokinesis [Warren et al., 1995: J. Cell Biol. 129:697-708]. To further investigate the phenotypic consequences of misexpression, we have compared mitotic spindle organization and dynamic 2D and 3D shape changes during mitosis in normal cells and in a hTM5/3 misexpressing (mutant) cell line. Immunofluorescence microscopy of wild type and mutant cells stained with monoclonal anti-tubulin antibody revealed that the overall structures of mitotic spindles were not significantly different. However, the axis of the mitotic spindle in mutant cells was more frequently misaligned with the long axis of the cell than that of wild type cells. To assess behavioral differences during mitosis, wild type and mutant cells were reconstructed in 2D and 3D and motion analyzed with the computer-assisted 2D and 3D Dynamic Image Analysis Systems (2D-DIAS, 3D-DIAS). Mutant cells abnormally formed large numbers of blebs during the later stages of mitosis and took longer to proceed from the start of anaphase to the start of cytokinesis. Furthermore, each mutant cell undergoing mitosis exhibited greater shape complexity than wild type cells, and in every case lifted one of the two evolving daughter cells off the substratum and abnormally twisted. These results demonstrate that misexpression of hTM5/3 in CHO cells leads to morphological instability during mitosis. Misexpression of hTM5/3 interferes with normal tropomyosin function, suggesting in turn that tropomyosin plays a role through its interaction with actin microfilaments in the regulation of the contractile ring, in the localized suppression of blebbing, in the maintenance of polarity and spatial symmetry during cytokinesis, and in cell spreading after cytokinesis is complete.     

MITOSIS AND CYTOKINESIS IN SESSILE SPORANGIUM OF TRENTEPOHLIA AUREA (CHLOROPHYCEAE)1

An ultrastructure study of mitosis and cytokinesis in the sessile sporangium of Trentepohlia aurea (L.) Mart, was made to clarify the phylogenetic position of the alga. Mitosis was closed and centric at late anphase with cytokinesis involving the production of cleavage membranes by dictyasames between the numerous, well-separated daughter nuclei. Neither phycoplast nor phragmoplast microtubules were observed during cytokinesis. The lack of phycoplast microtubules and the presence of multilayered structures in flagellated cells suggest Trentepohlia is phylogenetically related to those green algae thought to have given rise to the land plants. The primitive type of mitosis and the lack of microbodies suggest that the ancestors of Trentepohlia may have branched off from this line relatively early.     

Myosin light chain kinases and phosphatase in mitosis and cytokinesis

At mitosis, cells undergo drastic alterations in morphology and cytoskeletal organization including cell rounding during prophase, mitotic spindle assembly during prometaphase and metaphase, chromatid segregation in anaphase, and cytokinesis during telophase. It is well established that myosin II is a motor responsible for cytokinesis. Recent reports have indicated that myosin II is also involved in spindle assembly and karyokinesis. In this review, we summarize current understanding of the functions of myosin II in mitosis and cytokinesis of higher eukaryotes, and discuss the roles of possible upstream molecules that control myosin II in these mitotic events.     

Cell sociology and the problem of position effect: Pattern formation,origin and role of gradients

The control of pattern formation and the significance of gradients is reconsidered on the basis of the concept of cell sociology (which takes into account continuous exchange of information between cells and the possibility of autonomous progression in differentiation). Not all traits of a pattern are imposed by a single prepattern, which would be an organized molecular framework or a gradient. Patterns are unfolded in steps; these are readjustments of a cell population to intrinsic and extrinsic changes in cell activities. Prepatterns are the various components of the programme of every readjustment and are established by information of various origins, which can be dissociated experimentally: determination (elementary social prepattern), pre-existing organization (antecedent pp.), surrounding cell populations (environmental pp.), position among other tissues (positional pp.) and the organization of inducers (imprinting pp.). Every transitory pattern formed during a readjustment serves as antecedent pp. during the next readjustment. Covert graded patterns result from various aspects of the social behaviour of cells (growth, aggregation, induction, cell renewal) and may serve as antecedent or imprinting prepatterns. They appear as water marks in the final patterns, or generate overt graded patterns. They also manifest themselves in temporal patterns, particularly in gradients of relative growth.Dedicated to Professor P. D. Nieuwkoop on the occasion of his 60th birthday.     

Variable pathways for developmental changes of mitosis and cytokinesis in Physarum polycephalum

The development of a uninucleate ameba into a multinucleate, syncytial plasmodium in myxomycetes involves a change from the open, astral mitosis of the ameba to the intranuclear, anastral mitosis of the plasmodium, and the omission of cytokinesis from the cell cycle. We describe immunofluorescence microscopic studies of the amebal-plasmodial transition (APT) in Physarum polycephalum. We demonstrate that the reorganization of mitotic spindles commences in uninucleate cells after commitment to plasmodium formation, is completed by the binucleate stage, and occurs via different routes in individual developing cells. Most uninucleate developing cells formed mitotic spindles characteristic either of amebae or of plasmodia. However, chimeric mitotic figures exhibiting features of both amebal and plasmodial mitoses, and a novel star microtubular array were also observed. The loss of the ameba-specific alpha 3-tubulin and the accumulation of the plasmodium-specific beta 2-tubulin isotypes during development were not sufficient to explain the changes in the organization of mitotic spindles. The majority of uninucleate developing cells undergoing astral mitoses (amebal and chimeric) exhibited cytokinetic furrows, whereas cells with the anastral plasmodial mitosis exhibited no furrows. Thus, the transition from astral to anastral mitosis during the APT could be sufficient for the omission of cytokinesis from the cell cycle. However, astral mitosis may not ensure cytokinesis: some cells undergoing amebal or chimeric mitosis contained unilateral cytokinetic furrows or no furrow at all. These cells would, most probably, fail to divide. We suggest that a uninucleate committed cell undergoing amebal or chimeric mitosis can either divide or else form a binucleate cell. In contrast, a uninucleate cell with a mitotic spindle of the plasmodial type gives rise only to a binucleate cells. Further, the decision to enter mitosis after commitment to the APT is independent of the developmental changes in the organization of the mitotic spindle and cytokinesis.     

Late mitotic failure in mice lacking Sak, a polo-like kinase

Polo-like kinases in yeast, flies, and mammals regulate key events in mitosis. Such events include spindle formation at G2/M, the anaphase-promoting complex (APC) at the exit from mitosis, the cleavage structure at cytokinesis, and DNA damage checkpoints in G2/M. Polo-like kinases are distinguished by two C-terminal polo box (pb) motifs, which localize the enzymes to mitotic structures. We previously identified Sak, a novel polo-like kinase found in Drosophila and mammals. Here, we demonstrate that the Sak kinase has a functional pb domain that localizes the enzyme to the nucleolus during G2, to the centrosomes in G2/M, and to the cleavage furrow during cytokinesis. To study the role of Sak in embryo development, we generated a Sak null allele, the first polo-like kinase to be mutated in mice. Sak(-/-) embryos arrested after gastrulation at E7.5, with a marked increase in mitotic and apoptotic cells. Sak(-/-) embryos displayed cells in late anaphase or telophase that continued to express cyclin B1 and phosphorylated histone H3. Our results suggest that Sak is required for the APC-dependent destruction of cyclin B1 and for exit from mitosis in the postgastrulation embryo.     

Reconstruction of microtubules; entry into interphase

Microtubules display dramatic morphological alterations from mitotic spindles to fibrous interphase structures upon exit from mitosis. In this issue of Developmental Cell, Zimmerman et al. shed a novel light on the molecular mechanism of microtubule structure reorganization during cytokinesis.     

Movement of a cytokinesis factor cdc12p to the site of cell division.

A key question in cytokinesis is how the plane of cell division is positioned within the cell. Although a number of cytokinesis factors involved in formation of the actomyosin contractile ring have been identified, little is known about how these factors are localized and assembled at the cell-division site. Cells of the fission yeast Schizosaccharomyces pombe divide using a medial actomyosin ring that assembles in early mitosis [1]. The S. pombe cdc12 gene encodes a formin, a member of a family of proteins that have functions in cytokinesis and cell polarity and that may bind Rho/Cdc42 GTPases, profilin and other actin-associated proteins [1] [2] [3] [4]. The cdc12 protein (cdc12p) is required specifically for medial-ring assembly during cytokinesis and is a component of this ring [2] [5]. In this study, cdc12p was found, during interphase, in a discrete, motile cytoplasmic spot that moved to the future site of cell division at the onset of mitosis. Three lines of evidence indicated that this cdc12p spot moved on both actin and microtubule networks: movement required either actin or microtubules; the spot was associated with actin and microtubule structures; and individual spots were seen to move along both microtubule and non-microtubule tracks. These findings demonstrate that a cytokinesis factor may travel on both microtubule and actin networks to the future site of cell division.     

Inactivation of mitotic kinase triggers translocation of MEN components to mother-daughter neck in yeast

Chromosome segregation, mitotic exit, and cytokinesis are executed in this order during mitosis. Although a scheme coordinating sister chromatid separation and initiation of mitotic exit has been proposed, the mechanism that temporally links the onset of cytokinesis to mitotic exit is not known. Exit from mitosis is regulated by the mitotic exit network (MEN), which includes a GTPase (Tem1) and various kinases (Cdc15, Cdc5, Dbf2, and Dbf20). Here, we show that Dbf2 and Dbf20 functions are necessary for the execution of cytokinesis. Relocalization of these proteins from spindle pole bodies to mother daughter neck seems to be necessary for this role because cdc15-2 mutant cells, though capable of exiting mitosis at semipermissive temperature, are unable to localize Dbf2 (and Dbf20) to the "neck" and fail to undergo cytokinesis. These cells can assemble and constrict the actomyosin ring normally but are incapable of forming a septum, suggesting that MEN components are critical for the initiation of septum formation. Interestingly, the spindle pole body to neck translocation of Dbf2 and Dbf20 is triggered by the inactivation of mitotic kinase. The requirement of kinase inactivation for translocation of MEN components to the division site thus provides a mechanism that renders mitotic exit a prerequisite for cytokinesis.     

Degradation of Hof1 by SCF(Grr1) is important for actomyosin contraction during cytokinesis in yeast

SCF-type (SCF: Skp1-Cullin-F-box protein complex) E3 ligases regulate ubiquitin-dependent degradation of many cell cycle regulators, mainly at the G1/S transition. Here, we show that SCF(Grr1) functions during cytokinesis by degrading the PCH protein Hof1. While Hof1 is required early in mitosis to assemble a functional actomyosin ring, it is specifically degraded late in mitosis and remains unstable during the entire G1 phase of the cell cycle. Degradation of Hof1 depends on its PEST motif and a functional 26S proteasome. Interestingly, degradation of Hof1 is independent of APC(Cdh1), but instead requires the SCF(Grr1) E3 ligase. Grr1 is recruited to the mother-bud neck region after activation of the mitotic-exit network, and interacts with Hof1 in a PEST motif-dependent manner. Our results also show that downregulation of Hof1 at the end of mitosis is necessary to allow efficient contraction of the actomyosin ring and cell separation during cytokinesis. SCF(Grr1)-mediated degradation of Hof1 may thus represent a novel mechanism to couple exit from mitosis with initiation of cytokinesis.