A model for an early stage of tomato fruit development: cell multiplication and cessation of the cell proliferative activity

Changes in cell number during the early period of tomato fruit development were analysed by means of a deterministic model of cell multiplication. The period commenced at the seed stage with one theoretical cell undergoing intensive cell division, and ended when the cell number became nearly constant. The model takes into consideration the proliferative activity of the fruit cell population which, a few days before flower anthesis, begins to decrease progressively after each mitotic cycle. Model parameters, namely the time at which proliferative activity diminishes, its rate of decrease and the length of the cell cycle, were estimated by fitting the model to observed cell population dynamics in tomato fruits growing in three different positions on the truss. It is hypothesized that the molecular mechanism responsible for the cessation of mitosis in growing fruits is associated with shortening of telomeric ends of nuclear DNA, as suggested previously for other growing cell populations.     

The nature and biological role of near-weekly rhythm

Main peculiarities and possible mechanisms of the rhythms of proliferative activity and other characteristics of the tissue with near-weekly period are discussed. It is suggested that these variations may be explained by means of a simplest model which involves only processes of cell division and death with a delay of division stimulus about 24 hours, which corresponds to the duration of the mitotic cycle. In such a model there are periodic variations of the cell number with the period 4-7 times greater than the delay time.     

12-O-tetradecanoylphorbol-13-acetate induces an immediate, but transient increase in mitotic activity uncoupled from DNA synthesis in the monolayer cultures of rat keratinocyte

A single wave of mitotic activity was observed in a monolayer culture of rat keratinocytes immediately after exposure to 12-O-tetradecanoylphorbol-13-acetate. A peak for cells in prophase, observed at 10 min after the exposure, was followed by a peak for metaphase at 20 min, for anaphase at 25 min and telophase at 30 min after the exposure. Thereafter, the mitotic activity began to subside. This transient stimulation of mitotic activity resulted in an increase of population density in the monolayer culture. There was neither a stimulation of DNA synthesis during this period nor a change of the DNA content after the mitotic activity was completed. This single burst of synchronous mitotic activity which did not require a substantial stimulation of DNA synthesis suggests that the effect was on the initiation process of mitosis among a subpopulation of cells, presumably cells delayed in the G2 phase of the cell cycle.     

Patterns in the cellular organization of ovule growth in the pine, Pinus silvestris L. I. Growth processes in endosperm

The dynamics of growth processes was studied in the endosperm of Pinus silvestris during the year of fertilization. The growth of endosperm is described by an diauxic curve where the period of delay corresponds, by time, to fertilization. The growth of tissue proceeds, mainly, at the expense of cell proliferation. The mitotic activity is preserved in the endosperm till the beginning of formation of reserve substances in the cells; cell division and elongation occur simultaneously. The unfavourable environmental conditions influence the mitotic activity of cells only. The size of fully grown cells is relatively constant and somewhat decreases later, during maturation. One can distinguish rather early those regions in the endosperm where the cell size is 2-3 times less than in the rest tissue; the size of cells and nuclei in these regions suffers only insignificant changes during the growth. The large nuclei are observed in the beginning of the cell endosperm formation and, then, their size decreases 1.5-2 times; the second increase in nuclear size in the endosperm is observed during the period prior to the formation of reserve substances.     

Single generation cycles and delayed feedback cycles are not separate phenomena

We study a simple model for generation cycles, which are oscillations with a period of one or a few generation times of the species. The model is formulated in terms of a single delay-differential equation for the population density of an adult stage, with recruitment to the adult stage depending on the intensity of competition during the juvenile phase. This model is a simplified version of a group of models proposed by Gurney and Nisbet, who were the first to distinguish between single-generation cycles and delayed-feedback cycles. According to these authors, the two oscillation types are caused by different mechanisms and have periods in different intervals, which are one to two generation times for single-generation cycles and two to four generation times for delayed-feedback cycles. By abolishing the strict coupling between the maturation time and the time delay between competition and its effect on the population dynamics, we find that single-generation cycles and delayed-feedback cycles occur in the same model version, with a gradual transition between the two as the model parameters are varied over a sufficiently large range. Furthermore, cycle periods are not bounded to lie within single octaves. This implies that a clear distinction between different types of generation cycles is not possible. Cycles of all periods and even chaos can be generated by varying the parameters that determine the time during which individuals from different cohorts compete with each other. This suggests that life-cycle features in the juvenile stage and during the transition to the adult stage are important determinants of the dynamics of density limited populations.     

Monitoring APC/C activity in the presence of chromosomal misalignment in unperturbed cell populations

Chromosome segregation is under strict control of the spindle assembly checkpoint (SAC). The SAC regulates anaphase-promoting complex/cyclosome (APC/C)-dependent proteolysis of securin and cyclin B. Unattached or misaligned chromosomes trigger SAC-mediated mitotic delay by stabilizing securin and cyclin B due to inhibition of APC/C until the problem is solved. Here we present a hitherto unavailable model facilitating the simultaneous depiction of chromosome movements and pulse-chased cyclin B proteolysis in every single cell within a cell population. During chromosome misalignment, we observed slow cyclin B degradation, which changed to fast degradation once the SAC was satisfied, initiating chromosome separation and mitotic exit. Slow degradation during a SAC-mediated mitotic delay is part of a tightly regulated balance between cyclin B synthesis and degradation. Since chromosomal misalignment is a rare event, the ability to study entire cell populations enabled us to monitor for the first time SAC surveillance in living cells without the need of highly artificial perturbation by spindle poisons.     

Growth regulation in X-irradiated mouse skin; the possible role of chalones.

Extracts of hairless mouse skin were tested for their content of epidermal G1 inhibitor and G2 inhibitor at daily intervals after X-irradiation with 4 500 or 2 250 rad. After either dose the skin extracts lacked G1 inhibitory activity on days 5 and 6 respectively after irradiation. This coincided with the time when the epidermal mitotic rate again became normal and started a period of over-shoot. The time interval of 5-6 days corresponds to the turnover time of the differentiating cells in hairless mouse back epidermis. The findings indicate that the proliferating cells in epidermis can respond to changes in local chalone concentration, even after X-irradiation at the tested doses, and that the irradiated epidermal cell population still retains some important properties inherent in a cybernetically regulated system. The local G2-inhibitory activity also varied after irradiation, but these variations could not be directly related to the corresponding mitotic rates.     

A quantitative theory of liver regeneration in the rat. II: matching an improved mitotic inhibitor model to the data

A model of liver regeneration is put forward in which the rate of liver growth is controlled both by a liver-produced mitotic inhibitor and by the availability of parenchymal cells to enter the mitotic cycle. The model can be expressed as a pair of coupled differential equations, the first describing the dependance of inhibitor concentration on liver size and inhibitor decay and the second specifying the dependance of liver growth on inhibitor concentration and entry of cells into the mitotic cycle. The model is tested by comparing its solutions to the published data on mitotic indices following partial hepatectomy. For such a comparison, it is necessary to specify the cell-cycle time and the inhibitor dose-response function and half-life. If a negative exponential dose-response function, an inhibitor half-life of 11·4 h, and a cycle time of 18·25 h are postulated, the solutions match the data of Fabrikant (1968) who found that there were two waves of mitosis with a period of quiescence between them. The data of Grisham (1962), characterized by a single peak of mitosis, is matched by the theory using similar inhibitor properties but a shorter cell-cycle time (13·25 h); this causes the two peaks to overlap. In both cases, a better fit is obtained if the second cell cycle is longer than the first by 2–3 h. This suggests that cells enter a G₀ period after mitosis. A mechanism for littoral cell division, which occurs some 24 h after parenchymal cell division, is put forward in which the former cells depend on the enlargement of the latter for the stimulus to divide.     

Stage-dependent density effect in the cell cycle of budding yeast

Yeasts in culture media grow exponentially in early period but eventually stop growing. The saturation of population growth is due to "density effect". The budding yeast, Saccharomyces cerevisiae, is known to exhibit a stage-dependent cell division. Daughter cell, which gives no birth, has longer generation time than mother, because daughter needs maturity time. So far, investigations have been restricted in exponential or non-crowding state; very little is known for the stage dependence of density effect. Here we present a lattice gas model to explore the population dynamics of crowding period. We compare theoretical results with experimental data, and find a stage-dependent density effect. Although small daughter cells can develop to a critical size, the reproduction of large daughter cells suddenly stops when the total density exceeds some critical level. Our results imply the existence of an inhibitor that specifically halts the reproduction of matured daughter cell.     

High Cell Density Upregulates Calcium Oscillation by Increasing Calcium Store Content via Basal Mitogen-Activated Protein Kinase Activity

Calcium releases of non-excitable cells are generally a combination of oscillatory and non-oscillatory patterns, and factors affecting the calcium dynamics are still to be determined. Here we report the influence of cell density on calcium increase patterns of clonal cell lines. The majority of HeLa cells seeded at 1.5 x 10⁴/cm² showed calcium oscillations in response to histamine and ATP, whereas cells seeded at 0.5 x 10⁴/cm² largely showed transient and sustained calcium increases. Cell density also affected the response of HEK293 cells to ATP in a similar manner. High cell density increased the basal activity of the mitogen-activated protein (MAP) kinase and calcium store content, and both calcium oscillation and calcium store content were down-regulated by a MAP kinase inhibitor, U0126. Thus, MAP kinase-mediated regulation of calcium store likely underlie the effect of cell density on calcium oscillation. Calcium increase patterns of HeLa cells were conserved at any histamine concentrations tested, whereas the overexpression of histamine H1 receptor, which robustly increased histamine-induced inositol phospholipid hydrolysis, converted calcium oscillations to sustained calcium increases only at high histamine concentrations. Thus, the consequence of modulating inositol phospholipid metabolism was distinct from that of changing cell density, suggesting the effect of cell density is not attributed to inositol phospholipid metabolism. Collectively, our results propose that calcium increase patterns of non-excitable cells reflect calcium store, which is regulated by the basal MAP kinase activity under the influence of cell density.     

G2 cell cycle arrest induced by glycopeptides isolated from the bovine cerebral cortex

The ability of glycopeptides, isolated from bovine cerebral cortex, to alter cell division was studied by cell-cycle analyses. The results showed that glycopeptides arrested baby hamster kidney (BHK)-21 cells and Chinese hamster ovary (CHO) cells in the G2 phase of the cell cycle. Upon removal of the growth inhibition from arrested BHK-21 cells, the mitotic index in colchicine-treated cultures increased from 5 to 40% within 6 h and the increase in mitotic activity was accompanied by a complete doubling of all arrested cells within this 6- h time period. Determination of DNA content in growth-arrested BHK-21 cells showed that growth-arrested cells contained about twice the DNA of control cell cultures. Although CHO cells treated in a like manner with growth inhibitor could not be arrested for the same length of time as BHK-21 cells (18 h vs. 72 h before initiation of escape) and to the same degree (60% of the cell population vs. 99% of BHK-21 cells), the escape kinetics of CHO cells did indicate a G2 arrest. Approximately 3.5 h after escape began, CHO cell numbers in treated cultures attained the cell numbers found in control cultures. This rapid growth phase occurring in less than 4 h indicated that the growth inhibitor induced a G2 arrest-point in CHO cells that was not lethal since the entire arrested cell population divided.     

一类单种群增长模型正解的振动性

利用一种新的方法研究了一类单种群增长模型—时滞微分方程N(t)=的解关于其正平衡点N=1的振动性,所获结果改进了已有文献中的相关结论。     

The simulation of thymidine kinase enzyme kinetics in cultured cells using the computer language cellsim

Thymidine kinase is an enzyme that occurs in cells actively synthesizing DNA. In studies of synchronized cell populations, it has been shown that the enzyme activity disappears during the G1 phase of the cell cycle and reappears during the S and G2 phases. Its reappearance is consistent with the synthesis of the mRNA for this enzyme during the S and G2 phases and its immediate translation into active enzyme by the protein synthesis machinery within the cell. The disappearance of the enzyme is consistent with the cessation of mRNA synthesis by mitotic cells. We have now tested this concept by computer simulation of a growing cell population in which a specific mRNA is generated while cells are in the S and G2 phases of the cell cycle. The computer simulation was done using the simulation language Cellsim designed for modeling populations of cells. The Cellsim program which we developed allowed each cell to make about 1 mRNA molecule per min during the S and G2 phases. Every 3 min each mRNA molecule generated a protein enzyme molecule. The mRNA had a half-life of about 9 min, and the enzyme had a half-life of about 150 min. When these molecular parameters were coupled to the cell cycle parameters for Chinese hamster fibroblasts, the resulting curve of enzyme production with time closely matched the observed kinetics of enzyme activity seen in synchronized cells. The only part of the curve that did not fit was the rapid drop in enzyme activity which was seen as the population of mitotic cells was permitted to enter G1. This drop in activity was not seen in mitotic cells blocked with Colcemid where mRNA synthesis must be lacking. Earlier studies have shown that the Gl cells do not contain any inhibitor of enzyme activity. It therefore appears that the enzyme molecule is more unstable during the G1 phase than in any of the other phases of the cell cycle.     

Ultraviolet light and the mitotic cycle in the sea urchin''s egg

The effect of ultraviolet light in delaying certain events in the cell division cycle has been examined. The time to fusion of the egg and sperm nucleus is not affected by doses of ultraviolet that cause considerable delay in other parts of the cycle. The principal delay occurs before anaphase. Between anaphase and cleavage there is only slight delay. The "refractory period" during which the radiation does not delay the immediate cycle of cell division, does not seem to represent complete refractoriness of the mitotic cycle to interference during this period.     

Steady states and outbreaks of two-phase nonlinear age-structured model of population dynamics with discrete time delay

In this paper we study the nonlinear age-structured model of a polycyclic two-phase population dynamics including delayed effect of population density growth on the mortality. Both phases are modelled as a system of initial boundary values problem for semi-linear transport equation with delay and initial problem for nonlinear delay ODE. The obtained system is studied both theoretically and numerically. Three different regimes of population dynamics for asymptotically stable states of autonomous systems are obtained in numerical experiments for the different initial values of population density. The quasi-periodical travelling wave solutions are studied numerically for the autonomous system with the different values of time delays and for the system with oscillating death rate and birth modulus. In both cases it is observed three types of travelling wave solutions: harmonic oscillations, pulse sequence and single pulse.     

Haspin inhibition delays cell cycle progression through interphase in cancer cells

Haspin (Haploid Germ Cell-Specific Nuclear Protein Kinase) is a serine/threonine kinase pertinent to normal mitosis progression and mitotic phosphorylation of histone H3 at threonine 3 in mammalian cells. Different classes of small molecule inhibitors of haspin have been developed and utilized to investigate its mitotic functions. We report herein that applying haspin inhibitor CHR-6494 or 5-ITu at the G1/S boundary could delay mitotic entry in synchronized HeLa and U2OS cells, respectively, following an extended G2 or the S phase. Moreover, late application of haspin inhibitors at S/G2 boundary is sufficient to delay mitotic onset in both cell lines, thereby, indicating a direct effect of haspin on G2/M transition. A prolonged interphase duration is also observed with knockdown of haspin expression in synchronized and asynchronous cells. These results suggest that haspin can regulate cell cycle progression at multiple stages at both interphase and mitosis.     

RhoA is required for cortical retraction and rigidity during mitotic cell rounding

Mitotic cell rounding is the process of cell shape change in which a flat interphase cell becomes spherical at the onset of mitosis. Rearrangement of the actin cytoskeleton, de-adhesion, and an increase in cortical rigidity accompany mitotic cell rounding. The molecular mechanisms that contribute to this process have not been defined. We show that RhoA is required for cortical retraction but not de-adhesion during mitotic cell rounding. The mitotic increase in cortical rigidity also requires RhoA, suggesting that increases in cortical rigidity and cortical retraction are linked processes. Rho-kinase is also required for mitotic cortical retraction and rigidity, indicating that the effects of RhoA on cell rounding are mediated through this effector. Consistent with a role for RhoA during mitotic entry, RhoA activity is elevated in rounded, preanaphase mitotic cells. The activity of the RhoA inhibitor p190RhoGAP is decreased due to its serine/threonine phosphorylation at this time. Cumulatively, these results suggest that the mitotic increase in RhoA activity leads to rearrangements of the cortical actin cytoskeleton that promote cortical rigidity, resulting in mitotic cell rounding.     

The inhibition of Aurora A abrogates the mitotic delay induced by microtubule perturbing agents

The spindle assembly checkpoint functions during mitosis to ensure that chromosomes are properly aligned in mitotic cells prior to the onset of anaphase, thereby ensuring an equal segregation of genetic material to each daughter cell. Defects in the function of this checkpoint lead to aneuploidy, and eventually to cell death or senescence. The Aurora-related kinases, and in particular Aurora B, have been shown to play a role in regulating the spindle assembly checkpoint. In this study, we demonstrate that Aurora A activity is required for maintainance of the spindle assembly checkpoint mediated-mitotic delay induced by microtubule perturbing agents. Inhibition of Aurora A using MLN8054, a selective small-molecule inhibitor of Aurora A, in paclitaxel- or nocodazole-treated cells induces cells to become multinucleated. Using time-lapse microscopy, we demonstrate that the multinucleation phenotype arises via mitotic slippage, which is significantly accelerated upon Aurora A inhibition. Under these conditions, the spindle assembly checkpoint protein BubR1 remains localized to kinetochores prior to mitotic slippage. Moreover, we demonstrate that Aurora B remains active in these mitotic cells, indicating that the mitotic slippage induced by MLN8054 is most likely due to the inhibition of Aurora A. This finding was corroborated by demonstrating that Aurora A depletion using RNA interference in paclitaxel-treated cells also induces multinucleation. Taken together, these results suggest that Aurora A is necessary for the maintenance of the mitotic delay induced in response to microtubule-perturbing agents.