Growth Pattern of Single Fission Yeast Cells Is Bilinear and Depends on Temperature and DNA Synthesis

Cell growth and division have to be tightly coordinated to keep the cell size constant over generations. Changes in cell size can be easily studied in the fission yeast Schizosaccharomyces pombe because these cells have a cylindrical shape and grow only at the cell ends. However, the growth pattern of single cells is currently unclear. Linear, exponential, and bilinear growth models have been proposed. Here we measured the length of single fission yeast cells with high spatial precision and temporal resolution over the whole cell cycle by using time-lapse confocal microscopy of cells with green fluorescent protein-labeled plasma membrane. We show that the growth profile between cell separation and the subsequent mitosis is bilinear, consisting of two linear segments separated by a rate-change point (RCP). The change in growth rate occurred at the same relative time during the cell cycle and at the same relative extension for different temperatures. The growth rate before the RCP was independent of temperature, whereas the growth rate after the RCP increased with an increase in temperature, leading to clear bilinear growth profiles at higher temperatures. The RCP was not directly related to the initiation of growth at the new end (new end take-off). When DNA synthesis was inhibited by hydroxyurea, the RCP was not detected. This result suggests that completion of DNA synthesis is required for the increase in growth rate. We conclude that the growth of fission yeast cells is not a simple exponential growth, but a complex process with precise rates regulated by the events during the cell cycle.     

Analysis of a generic model of eukaryotic cell-cycle regulation

We propose a protein interaction network for the regulation of DNA synthesis and mitosis that emphasizes the universality of the regulatory system among eukaryotic cells. The idiosyncrasies of cell cycle regulation in particular organisms can be attributed, we claim, to specific settings of rate constants in the dynamic network of chemical reactions. The values of these rate constants are determined ultimately by the genetic makeup of an organism. To support these claims, we convert the reaction mechanism into a set of governing kinetic equations and provide parameter values (specific to budding yeast, fission yeast, frog eggs, and mammalian cells) that account for many curious features of cell cycle regulation in these organisms. Using one-parameter bifurcation diagrams, we show how overall cell growth drives progression through the cell cycle, how cell-size homeostasis can be achieved by two different strategies, and how mutations remodel bifurcation diagrams and create unusual cell-division phenotypes. The relation between gene dosage and phenotype can be summarized compactly in two-parameter bifurcation diagrams. Our approach provides a theoretical framework in which to understand both the universality and particularity of cell cycle regulation, and to construct, in modular fashion, increasingly complex models of the networks controlling cell growth and division.     

Effects of Hydroxyurea on immobilized and suspended yeast fermentation rates and cell cycle operation

Hydroxyurea, an inhibitor of DNA synthesis in Saccharomyces cerevisiae, has been applied in order to restrict growth of immobilized cells. For comparison, the influence of hydroxyurea on suspended S. cerevisiae has also been investigated. Recovery from DNA synthesis inhibition, indicated by measurements of cell growth rate, DNA content, and light scatter properties, occurred faster in immobilized cells than in the suspended yeast. Morphogenesis in both populations was arrested by hydroxyurea, and there was an accumulation of single immobilized and suspended cells with large buds. Synthesis of protein and RNA was not adversely affected in either cell type. The specific rate of ethanol production by immobilized cells increased by an average of 24%, while, for the suspended cells, specific ethanol productivity was up to three times higher. Glucose consumption rates for both cell types also increased under the influence of hydroxyurea. Immobilized cell ethanol yields were reduced by ca. 16% in the presence of hydroxyurea; suspended cell yields were lower by an average of 50%. Total polysaccharide content was reduced by 65% for suspended cells and increased 30% for immobilized cells after hydroxyurea treatment. The data evidence disturbance of the yeast cell cycle due to immobilization.     

Asymmetrical division of Saccharomyces cerevisiae.

The unequal division model proposed for budding yeast (L. H. Hartwell and M. W. Unger, J. Cell Biol. 75:422-435, 1977) was tested by bud scar analyses of steady-state exponential batch cultures of Saccharomyces cerevisiae growing at 30 degrees C at 19 different rates, which were obtained by altering the carbon source. The analyses involved counting the number of bud scars, determining the presence or absence of buds on at least 1,000 cells, and independently measuring the doubling times (gamma) by cell number increase. A number of assumptions in the model were tested and found to be in good agreement with the model. Maximum likelihood estimates of daughter cycle time (D), parent cycle time (P), and the budded phase (B) were obtained, and we concluded that asymmetrical division occurred at all growth rates tested (gamma, 75 to 250 min). D, P, and B are all linearly related to gamma, and D, P, and gamma converge to equality (symmetrical division) at gamma = 65 min. Expressions for the genealogical age distribution for asymmetrically dividing yeast cells were derived. The fraction of daughter cells in steady-state populations is e-alpha P, and the fraction of parent cells of age n (where n is the number of buds that a cell has produced) is (e-alpha P)n-1(1-e-alpha P)2, where alpha = IN2/gamma; thus, the distribution changes with growth rate. The frequency of cells with different numbers of bud scars (i.e., different genealogical ages) was determined for all growth rates, and the observed distribution changed with the growth rate in the manner predicted. In this haploid strain new buds formed adjacent to the previous buds in a regular pattern, but at slower growth rates the pattern was more irregular. The median volume of the cells and the volume at start in the cell cycle both increased at faster growth rates. The implications of these findings for the control of the cell cycle are discussed.     

Cell cycle operation during batch growth of fission yeast populations

Batch cultivation provides a continuous sequence of different environments useful for studying responses of cell cycle controls. Flow cytometry measurements have been made of the frequency functions for protein, RNA, and DNA at different times during batch growth of the fission yeast Schizosaccharomyces pombe. The mean cellular protein and RNA contents and their variances tend to increase with increasing population specific growth rates. Analysis of the mid-exponential phase DNA frequency function data indicates that DNA synthesis occupies 12% of the total cell cycle time and is completed at the same time as cell separation. Coordination of DNA synthesis and cell separation is less precise when population growth rate is low in late lag and early stationary phases.     

Fission yeast cells grow approximately exponentially

How the rate of cell growth is influenced by cell size is a fundamental question of cell biology. The simple model that cell growth is proportional to cell size, based on the proposition that larger cells have proportionally greater synthetic capacity than smaller cells, leads to the prediction that the rate of cell growth increases exponentially with cell size. However, other modes of cell growth, including bilinear growth, have been reported. The distinction between exponential and bilinear growth has been explored in particular detail in the fission yeast Schizosaccharomyces pombe. We have revisited the mode of fission yeast cell growth using high-resolution time-lapse microscopy and find, as previously reported, that these two growth models are difficult to distinguish both because of the similarity in shapes between exponential and bilinear curves over the two-fold change in length of a normal cell cycle and because of the substantial biological and experimental noise inherent to these experiments. Therefore, we contrived to have cells grow more than twofold, by holding them in G2 for up to 8 h. Over this extended growth period, in which cells grow up to 5.5-fold, the two growth models diverge to the point that we can confidently exclude bilinear growth as a general model for fission yeast growth. Although the growth we observe is clearly more complicated than predicted by simple exponential growth, we find that exponential growth is a robust approximation of fission yeast growth, both during an unperturbed cell cycle and during extended periods of growth.     

Cell cycle kinetics and monoclonal antibody productivity of hybridoma cells during perfusion culture

The flow-cytometric (FCM) analysis of bivariate DNA/lgG distributions has been conducted to study the cell cycle kinetics and monoclonal antibody (MAb) production during perfusion culture of hybridoma cells. Three different perfusion rates were employed to demonstrate the dependency of MAb synthesis and secretion on cell cycle and growth rate. The results showed that, during the rapid growth period of perfusion culture, the level of intracellular igG contents of hybridoma cells changed significantly at each perfusion rate, while the DNA histograms showing cell cycle phases were almost constant. Meanwhile, during the reduced growth period of perfusion culture, the fraction of cells in the S phase decreased, and the fraction cells in the G1/G0 phase increased with decreasing growth rate. The fraction of cells in the G2/M phase was relatively constant during the whole period of perfusion culture. Positive correlation was found between mean intracellular IgG contents and the specific MAb production rate, suggesting that the deletion of intracellular IgG contents by a flow cytometer could be used as a good indicator for the prediction of changes in specific MAb productivity following manipulation of the culture condition. (c) 1994 John Wiley & Sons, Inc.     

Cell cycle model for recombinant Pichia pastoris during glycerol fed-batch cultivation

A cell cycle model is proposed for methylotrophic yeast Pichia pastoris grown on glycerol during fed-batch cultivation. Morphological differentiation of cells, such as unbudded daughter cell, unbudded parent cell and budding cell, is depicted by the model. During the cyclic growth, cells in different cycling period are assumed to undergo sequential shifting dominantly. The input of the cell cycle model is the specific growth rate, which is calculated from the macrokinetic model proposed previously. The cell cycle related variables, such as the fraction of budding cells and the cell density are then simulated. Model validation is carried out with the experimental data of off-line assays.     

Mechanism for differential sensitivity of the chromosome and growth cycles of mammalian cells to the rate of protein synthesis.

It has been documented widely that when the generation times of eucaryotic cells are lengthened by slowing the rate of protein synthesis, the duration of the chromosome cycle (S, G2, and M phases) remains relatively invariant. Paradoxically, when the growth of exponentially growing cultures of CHO cells is partially inhibited with inhibitors of protein synthesis, the immediate effect is a proportionate reduction in the rate of total protein, histone protein, and DNA synthesis. However, on further investigation it was found that over the next 2 h the rates of histone protein and DNA synthesis recover, in some cases completely to the uninhibited rate, while the synthesis rates of other proteins do not recover. We called this process chromosome cycle compensation. The amount of compensation seen in CHO cell cultures can account quantitatively for the relative invariance in the length of the chromosome cycle (S, G2, and M phases) reported for these cells. The mechanism for this compensation involves a specific increase in the levels of histone mRNAs. An invariant chromosome cycle coupled with a lengthening growth cycle must result in a disproportionate lengthening of the G1 phase. Thus, these results suggest that chromosome cycle invariance may be due more to specific cellular compensation mechanisms rather than to the more usual interpretation involving a rate-limiting step for cell cycle progression in the G1 phase.     

A mathematical model for toxin accumulation by killer yeasts based on the yeast population growth

The accumulation of toxin by killer yeast populations is modelled starting from a mechanistic approach that explains the toxin production in terms of yeast population growth, and takes into account the environmental inactivation of the toxin. A modified Richard's general equation for limited growth is used to define the function that describes the toxin produced in relation to the yeast biomass increase. The relationship between the rates of cell and toxin production is explicitly shown, and the implications of the resulting proportionality factor are discussed. The model parameters have been adjusted and the model has been validated using experimental data of growth and toxin accumulation from cultures of Pichia membranaefaciens in two different media. The differences between both types of cultures are analysed on the basis of parameter estimates and the predicted rate of toxin production per cell. The results support the hypothesis that biomass production and toxin synthesis are controlled in different ways; they also suggest that the composition of the medium could have a distinct effect on toxin synthesis. Model assumptions are discussed in comparison with a previous model for killer-sensitive interaction of Saccharomyces cerevisiae strains.     

Cytochrome synthesis in synchronous cultures of the yeast, Saccharomyces cerevisiae.

The synthesis of cytochromes aa3, b, and c has been investigated during synchronous growth in the yeast, Saccharomyces cerevisiae. These cytochromes increase in concentration continuously throughout each cell cycle, with an approximate doubling in rate during successive cycles. The rates of cytochrome formation are considerably higher in galactose-grown cultures than in cells grown in glucose. Although cytochrome aa3 increases at a continuous rate, its functional counterpart, cytochrome c oxidase, increases in stepwise fashion, with the increments occurring at the beginning of each new cell cycle. Chloramphenicol, a specific inhibitor of intramitochondrial protein synthesis, inhibits the formation of cytochrome aa3 at all stages of the cell cycle, but does not inhibit cytochrome c. Chloramphenicol exhibits a somewhat intermediate effect on cytochrome b synthesis, with transient inhibition occurring only when the drug is added prior to or during the initial part of the first cell cycle. After this time, chloramphenicol had no effect on the rate of cytochrome b synthesis. The data indicate that under our conditions of cell synchrony mitochondrial membrane formation as reflected by increments in mitochondrial cytochromes occurs by continuous accretion of new material throughout the cell cycle. Intramitochondrially synthesized polypeptide products, responsible for the formation of new cytochrome aa3, appear to be synthesized throughout the cell cycle.     

Glucose metabolism and cell size in continuous cultures of Saccharomyces cerevisiae

A detailed analysis of the cell size, monitored as protein content, has been performed in glucose-limited continuous cultures, so as to obtain the values of the average protein content for various subpopulations at different cell cycle stages, as a function of the growth rate. Glucose metabolism appears to affect cell size, since there is an increase of the average protein content of the population when cells produce ethanol above the critical dilution rate. If the production of ethanol is forced at low growth rates by the addition of formate, the average protein content increases. These results indicate a link between glucose metabolism and cell size in budding yeast, as observed for mammalian cells.     

Cell cycle phase expansion in nitrogen-limited cultures of Saccharomyces cerevisiae

The time and coordination of cell cycle events were examined in the budding yeast Saccharomyces cerevisiae. Whole-cell autoradiographic techniques and time-lapse photography were used to measure the duration of the S, G1, and G2 phases, and the cell cycle positions of "start" and bud emergence, in cells whose growth rates were determined by the source of nitrogen. It was observed that the G1, S, and G2 phases underwent a proportional expansion with increasing cell cycle length, with the S phase occupying the middle half of the cell cycle. In each growth condition, start appeared to correspond to the G1 phase/S phase boundary. Bud emergence did not occur until mid S phase. These results show that the rate of transit through all phases of the cell cycle can vary considerably when cell cycle length changes. When cells growing at different rates were arrested in G1, the following synchronous S phase were of the duration expected from the length of S in each asynchronous population. Cells transferred from a poor nitrogen source to a good one after arrest in G1 went through the subsequent S phase at a rate characteristic of the better medium, indicating that cells are not committed in G1 to an S phase of a particular duration.     

Control of cell division in the yeast Saccharomyces cerevisiae cultured at different growth rates

Saccharomyces cerevisiae has been grown with different generation times by alterations in media richness and by altering the flow rate of the limiting nutrient, glucose in a chemostat. Within the generation time range 2.89-approx. 8.0 h the time from the initiation of DNA synthesis to cell division was independent of generation time and was approx. 2 h. Thus the cell cycle of yeast can be divided into an expandable phase from cell division to the initiation of DNA synthesis, the length of which is dependent on growth rate and a constant phase from the initiation of DNA synthesis to cell division which takes a constant time independent of generation time. In cells growing with generation times longer than 8.6 h this constant phase expands somewhat in time. These results are reminiscent of the observation that in the bacterium Escherichia coliB/R the time from initiation of DNA synthesis to cell division is constant except at very slow growth rates.     

Kinetics of inclusion body production in batch and high cell density fed-batch culture of Escherichia coli expressing ovine growth hormone.

A process for maximizing the volumetric productivity of recombinant ovine growth hormone (r-oGH) expressed in Escherichia coli during high cell density fermentation process has been devised. Kinetics of r-oGH expression as inclusion bodies and its effect on specific growth rates of E. coli cells were monitored during batch fermentation process. It was observed that during r-oGH expression in E. coli, the specific growth rate of the culture became an intrinsic property of the cells which reduced in a programmed manner upon induction. Nutrient feeding during protein expression phase of the fed-batch process was designed according to the reduction in specific growth rate of the culture. By feeding yeast extract along with glucose during fed-batch operation, high cell growth with very little accumulation of acetic acid was observed. Use of yeast extract helped in maintaining high specific cellular protein yield which resulted in high volumetric productivity of r-oGH. In 16 h of fed-batch fermentation, 3.2 g l-1 of r-oGH were produced at a cell OD of 124. This is the highest concentration of r-oGH reported to date using E. coli expression system. The volumetric productivity of r-oGH was 0.2 g l-1 h-1, which is also the highest value reported for any therapeutic protein using IPTG inducible expression system in a single stage fed-batch process.     

Quiescent cells but not cycling cells exhibit enhanced actin synthesis before they synthesize DNA

Major proteins synthesized by Swiss 3T3 cells at different stages of the cell cycle have been analyzed using double isotope labeling and one-dimensional SDS-polyacrylamide slab gels. The synthesis of actin was previously shown to be markedly enhanced a few hours after quiescent cells initiated growth following addition of serum. In contrast, the synthesis of actin remained at a constant rate, similar to that in quiescent cells, relative to synthesis of other proteins during the entire cell cycle. We conclude that enhanced actin synthesis is a process specific for the G0 to S transit, and may serve as a marker event during this interval. In contrast, three other proteins (90,000, 57,000, and 33,000 daltons) were synthesized throughout the cell cycle at higher rates than in G0 cells, and thus, are markers characteristic of cells traversing the cell cycle. A transient increase, such as seen for actin synthesis, by cells emerging from quiescence, may represent a process that these cells must perform before they can enter the G1 portion of the cell cycle. A transient event such as this need not be a periodic event that occurs during each cycle.     

Enrichment of slow-growing marine microorganisms from mixed cultures using gel microdrop (GMD) growth assay and fluorescence-activated cell sorting

Encapsulation of cells in agarose gel microdrops (GMDs) combined with fluorescence-activated cell sorting (FACS) has been used previously to analyze and recover specific mammalian, bacterial, and yeast cell populations. Recently, we have developed a method to enrich mixed bacterial populations for slow-growing microorganisms using the GMD Growth Assay combined with fluorochrome staining and flow cytometry. Here, we demonstrate the feasibility of using this experimental approach to detect clonogenic growth of individual bacteria within GMDs in less than 3 h and to separate subpopulations based on differential growth rates. We show that after sorting, organisms remain viable and can be propagated in culture for further analysis.