Unequal division in Saccharomyces cerevisiae and its implications for the control of cell division

The budding yeast, Saccharomyces cerevisiae, was grown exponentially at different rates in the presence of growth rate-limiting concentrations of a protein synthesis inhibitor, cycloheximide. The volumes of the parent cell and the bud were determined as were the intervals of the cell cycle devoted to the unbudded and budded periods. We found that S. cerevisiae cells divide unequally. The daughter cell (the cell produced at division by the bud of the previous cycle) is smaller and has a longer subsequent cell cycle than the parent cell which produced it. During the budded period most of the volume increase occurs in the bud and very little in the parent cell, while during the unbudded period both the daughter and the parent cell increase significantly in volume. The length of the budded interval of the cell cycle varies little as a function of population doubling time; the unbudded interval of the parent cell varies moderately; and the unbudded interval for the daughter cell varies greatly (in the latter case an increase of 100 min in population doubling time results in an increase of 124 min in the daughter cell's unbudded interval). All of the increase in the unbudded period occurs in that interval of G1 that precedes the point of cell cycle arrest by the S. cerevisiae alpha-mating factor. These results are qualitatively consistent with and support the model for the coordination of growth and division (Johnston, G. C., J. R. Pringle, and L. H. Hartwell. 1977. Exp. Cell. Res. 105:79-98.) This model states that growth and not the events of the DNA division cycle are rate limiting for cellular proliferation and that the attainment of a critical cell size is a necessary prerequisite for the "start" event in the DNA-division cycle, the event that requires the cdc 28 gene product, is inhibited by mating factor and results in duplication of the spindle pole body.     

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.     

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.     

The relationship between yeast cell size and cell division in Candida albicans

The mean size and percentage of budded and unbudded cells of Candida albicans grown in batch culture over a wide range of doubling times have been measured. Cell volume decreased with increased doubling time and a nonlinear approach to an asymptotic minimum was observed. When cells were separated by age according to bud scars, each age showed a similar decrease. During each cell division cycle, size increased slowly during both budded and unbudded periods so that each generation was significantly larger than the preceding. There was no difference in size between the parent portion of budded cells and unbudded cells of the same age. Time-lapse photomicroscopy of cells growing on solid medium showed that cells divide asymmetrically with larger parents having a shorter subsequent cycle time than the smaller daughter, although the time utilized for bud formation was similar. When cells were shifted from a medium supporting a low growth rate and small size to a medium supporting a faster growth rate and larger size, both budded and unbudded cells increased significantly in size. As the doubling time increased, both the budded and unbudded portions of parental and daughter cycles increased.     

Rates of protein synthesis through the cell cycle of Saccharomyces cerevisiae

Exponentially growing cells of Saccharomyces cerevisiae were fractionated by centrifugation in isotonic, self-generated gradients of Percoll. Rapidly growing cells, μ = 0.5 × h⁻¹, with nearly equal length of the daughter and the parental cell cycle were fractionated according to a cell cycle-related density variation. In these cells the net rate of protein synthesis varies nearly 2-fold during the cell cycle. Subsequent separations according to cell size revealed that the highest rate is observed during G2 period. Slow-growing cells, μ = 0.2 × h⁻¹, were fractionated on shallow Percoll gradients in a bimodal fashion, primarily as a dense daughter fraction and a composite light fraction. Thereby a marked high rate of protein synthesis in large unbudded daughter cells was revealed. Separations according to cell size revealed a cell cycle-related separation of budded cells, and the highest rate is observed, as before, in the G2 period. Irrespective of the growth rate a non-exponential increase of cell protein is thereby observed through the cell cycle of budding yeast. Septation and cell separation coincide with a low degree of ribosome exploitation.     

Structural heterogeneity in populations of the budding yeast Saccharomyces cerevisiae.

Bud scar analysis integrated with mathematical analysis of DNA and protein distributions obtained by flow microfluorometry have been used to analyze the cell cycle of the budding yeast Saccharomyces cerevisiae. In populations of this yeast growing exponentially in batch at 30 degrees C on different carbon and nitrogen sources with duplication times between 75 and 314 min, the budded period is always shorter (approximately 5 to 10 min) than the sum of the S + G2 + M + G1* phases (determined by the Fried analysis of DNA distributions), and parent cells always show a prereplicative unbudded period. The analysis of protein distributions obtained by flow microfluorometry indicates that the protein level per cell required for bud emergence increases at each new generation of parent cells, as observed previously for cell volume. A wide heterogeneity of cell populations derives from this pattern of budding, since older (and less frequent) parent cells have shorter generation times and produce larger (and with shorter cycle times) daughter cells. A possible molecular mechanism for the observed increase with genealogical age of the critical protein level required for bud emergence is discussed.     

Morphologically-structured models of growing budding yeast populations

It has been well recognized that many key aspects of cell cycle regulation are encoded into the size distributions of growing budding yeast populations due to the tight coupling between cell growth and cell division present in this organism. Several attempts have been made to model the cell size distribution of growing yeast populations in order to obtain insight on the underlying control mechanisms, but most were based on the age structure of asymmetrically dividing populations. Here we propose a new framework that couples a morphologically-structured representation of the population with population balance theory to formulate a dynamic model for the size distribution of growing yeast populations. An advantage of the presented framework is that it allows derivation of simpler models that are directly identifiable from experiments. We show how such models can be derived from the general framework and demonstrate their utility in analyzing yeast population data. Finally, by employing a recently proposed numerical scheme, we proceed to integrate numerically the full distributed model to provide predictions of dynamics of the cell size structure of growing yeast populations.     

Yeast-phase cell cycle of the polymorphic fungus Wangiella dermatitidis.

The yeast-phase cell cycle of Wangiella dermatitidis was studied using flow microfluorimetry and the deoxyribonucleic acid (DNA) synthesis inhibitor hydroxyurea (HU). Exposure of exponential-phase yeastlike cells to 0.1 M HU for 3 to 6 h resulted in the arrest of the cells in DNA synthesis and produced a nearly homogeneous population of unbudded cells. Treatment of the yeast-phase cells with HU for 9 h or longer resulted in the accumulation of the cells predominantly as budded forms having either a single nucleus in the mother cell or a single nucleus arrested in the isthmus between the mother cell and the daughter bud. Exposure of unbudded stationary-phase cells to 0.1 M HU resulted in the accumulation of the cells in the same phenotypes. Analysis by flow microfluorimetry and cell counts of HU-inhibited mithramycin-stained cells indicated that the eventual progress of HU-inhibited cells from unbudded to the two budded forms was due to the limited continuation of the growth sequence of the cell cycle even in the absence of DNA synthesis, nuclear division, and in some cases nuclear migration. On the basis of these observations and the results of flow microfluorimetric analysis of exponential-phase cells, a map of the yeast-phase cell cycle was constructed. The cycle appears to consist of two independent sequences of events, a budding growth sequence and a DNA division sequence. The nuclear division cycle of yeast-phase cells growing exponentially with a 4.5-h generation time is composed of a G1 interval of 148 min, as S phase of 16 min, and a G2 plus M interval of 107 min.     

Cell size specific binding of the fluorescent dye calcofluor to budding yeast

The yeast Saccharomyces cerevisiae cell surface outside of the bud scars displayed an increasing fluorescence intensity with increasing cell size (volume), where fluorescence was due to irreversible binding of the fluorescent dye calcofluor. The increase in fluorescence intensity appeared to be due to an increase in the density of fluorescence per unit surface area of the cell. Exposure time measurements from a photomicroscope were used to quantitate fluorescence intensity on individual cells. The cell size dependent increase in fluorescence intensity was displayed by unbudded cells from stationary phase populations, and unbudded and parent cells from exponentially growing populations. Abnormally large cells generated during the arrest of cell division with alpha-factor or restrictive temperature for cdc3, 8, 13, 24, and 28 cell division cycle mutants, displayed significantly greater fluorescence intensity compared to the smaller cells generated during the arrest of division for cdc25, 33, and 35 mutant strains. Fluorescence intensity on newly emerging buds was broadly dependent on both the size of the bud, and the size of the parent cells on which the buds were growing.     

Isolation of quiescent and nonquiescent cells from yeast stationary-phase cultures

Quiescence is the most common and, arguably, most poorly understood cell cycle state. This is in part because pure populations of quiescent cells are typically difficult to isolate. We report the isolation and characterization of quiescent and nonquiescent cells from stationary-phase (SP) yeast cultures by density-gradient centrifugation. Quiescent cells are dense, unbudded daughter cells formed after glucose exhaustion. They synchronously reenter the mitotic cell cycle, suggesting that they are in a G(0) state. Nonquiescent cells are less dense, heterogeneous, and composed of replicatively older, asynchronous cells that rapidly lose the ability to reproduce. Microscopic and flow cytometric analysis revealed that nonquiescent cells accumulate more reactive oxygen species than quiescent cells, and over 21 d, about half exhibit signs of apoptosis and necrosis. The ability to isolate both quiescent and nonquiescent yeast cells from SP cultures provides a novel, tractable experimental system for studies of quiescence, chronological and replicative aging, apoptosis, and the cell cycle.     

Effect of cell cycle position on thermotolerance in Saccharomyces cerevisiae.

We showed that the heat killing curve for exponentially growing Saccharomyces cerevisiae was biphasic. This suggests two populations of cells with different thermal killing characteristics. When exponentially growing cells separated into cell cycle-specific fractions via centrifugal elutriation were heat shocked, the fractions enriched in small unbudded cells showed greater resistance to heat killing than did other cell cycle fractions. Cells arrested as unbudded cells fell into two groups on the basis of thermotolerance. Sulfur-starved cells and the temperature-sensitive mutants cdc25, cdc33, and cdc35 arrested as unbudded cells were in a thermotolerant state. Alpha-factor-treated cells arrested in a thermosensitive state, as did the temperature-sensitive mutant cdc36 when grown at the restrictive temperature. cdc7, which arrested at the G1-S boundary, arrested in a thermosensitive state. Our results suggest that there is a subpopulation of unbudded cells in exponentially growing cultures that is in G0 and not in G1 and that some but not all methods which cause arrest as unbudded cells lead to arrest in G0 as opposed to G1. It has been shown previously that yeast cells acquire thermotolerance to a subsequent challenge at an otherwise lethal temperature during a preincubation at 36 degrees C. We showed that this acquisition of thermotolerance was corrected temporally with a transient increase in the percentage of unbudded cells during the preincubation at 36 degrees C. The results suggest a relationship between the heat shock phenomenon and the cell cycle in S. cerevisiae and relate thermotolerance to transient as well as to more prolonged residence in the G0 state.     

Differential growth rates of Candida utilis mother and daughter cells under phased cultivation.

The yeast Candida utilis was continuously synchronized by the phased method of cultivation with the nitrogen source as the growth-limiting nutrient. The doubling time (phasing period) of cells was 6 h. Both cell number and deoxyribonucleic acid synthesis showed a characteristic stepwise increase during the phased growth. The time of bud emergence coincided with the time of initiation of deoxyribonucleic acid synthesis. Size distribution studies combined with microscopic analysis showed that the cells expanded only during the unbudded phase of growth. Usually the cells stopped increasing in size about 30 min before bud emergence, and the arrest of the increase in cell volume coincided with the exhaustion of nitron from the medium. There was no net change in the volume of cells during the bud expansion phase of growth, suggesting that as the bud expanded, the volume of the mother portion of the cell decreased. After division the cells expanded slightly. The postdivision expansion of cells, unlike the growth before bud initiation, occurred in the absence of the growth-limiting nutrient. The newly formed daughter cells were smaller than the mother cells and expanded at a faster rate, so that both types of cells reached maximum size at the same time. Possible reasons for the different rates of expansion of mother and daughter cells are discussed.     

Size control models of Saccharomyces cerevisiae cell proliferation.

By using time-lapse photomicroscopy, the individual cycle times and sizes at bud emergence were measured for a population of saccharomyces cerevisiae cells growing exponentially under balanced growth conditions in a specially constructed filming slide. There was extensive variability in both parameters for daughter and parent cells. The data on 162 pairs of siblings were analyzed for agreement with the predictions of the transition probability hypothesis and the critical-size hypothesis of yeast cell proliferation and also with a model incorporating both of these hypotheses in tandem. None of the models accounted for all of the experimental data, but two models did give good agreement to all of the data. The wobbly tandem model proposes that cells need to attain a critical size, which is very variable, enabling them to enter a start state from which they exit with first order kinetics. The sloppy size control model suggests that cells have an increasing probability per unit time of traversing start as they increase in size, reaching a high plateau value which is less than one. Both models predict that the kinetics of entry into the cell division sequence will strongly depend on variability in birth size and thus will be quite different for daughters and parents of the asymmetrically dividing yeast cells. Mechanisms underlying these models are discussed.     

The age structure of populations of Saccharomyces cerevisiae

A discrete deterministic model is described for the growth of an age-structured population of yeast, Saccharomyces cerevisiae, incorporating recent information on the asymmetry of cell division and control of the cell cycle in this species. Solutions are obtained for the age structure of the population at equilibrium, and for the equilibrium distribution of relative frequency of cells through the cell cycle. The model is applied to experimental data on the changing age structure of nonequilibrium populations of yeast. The model predicts well both the transient behavior and the equilibrium structure of such populations. It is shown that the asymmetry of cell division explains (1) the excess of newly formed daughter cells in the population as compared to the frequency of older cells and (2) the damped oscillations in the frequencies of cells of different ages as demographic equilibrium is approached.     

Polarization of Diploid Daughter Cells Directed by Spatial Cues and GTP Hydrolysis of Cdc42 in Budding Yeast

Cell polarization occurs along a single axis that is generally determined by a spatial cue. Cells of the budding yeast exhibit a characteristic pattern of budding, which depends on cell-type-specific cortical markers, reflecting a genetic programming for the site of cell polarization. The Cdc42 GTPase plays a key role in cell polarization in various cell types. Although previous studies in budding yeast suggested positive feedback loops whereby Cdc42 becomes polarized, these mechanisms do not include spatial cues, neglecting the normal patterns of budding. Here we combine live-cell imaging and mathematical modeling to understand how diploid daughter cells establish polarity preferentially at the pole distal to the previous division site. Live-cell imaging shows that daughter cells of diploids exhibit dynamic polarization of Cdc42-GTP, which localizes to the bud tip until the M phase, to the division site at cytokinesis, and then to the distal pole in the next G1 phase. The strong bias toward distal budding of daughter cells requires the distal-pole tag Bud8 and Rga1, a GTPase activating protein for Cdc42, which inhibits budding at the cytokinesis site. Unexpectedly, we also find that over 50% of daughter cells lacking Rga1 exhibit persistent Cdc42-GTP polarization at the bud tip and the distal pole, revealing an additional role of Rga1 in spatiotemporal regulation of Cdc42 and thus in the pattern of polarized growth. Mathematical modeling indeed reveals robust Cdc42-GTP clustering at the distal pole in diploid daughter cells despite random perturbation of the landmark cues. Moreover, modeling predicts different dynamics of Cdc42-GTP polarization when the landmark level and the initial level of Cdc42-GTP at the division site are perturbed by noise added in the model.     

Random transitions,size control,and inheritance in cell population dynamics

A general model of cell population dynamics is derived and analyzed. The model uses the continuous structure variables age and size, and thus distinguishes individual cells with respect to such properties as cycle length and division size. The model allows the occurrence of random transitions as cells progress through the cell cycle, the control of cell size upon cell cycle events, and the inheritance of properties from mother to daughter cells. The concepts of asynchronous exponential growth, α-curves, β-curves, mother-daughter transit time correlations, and sister-sister transit time correlations are formalized. The existence and uniqueness of solutions to the model is proved.     

Analysis of the effect of inoculum characteristics on the first stages of a growing yeast population in beer fermentations by means of an individual-based model

The yeast Saccharomyces cerevisiae has a limited replicative lifespan. The cell mass at division is partitioned unequally between a larger, old parent cell and a smaller, new daughter cell. Industrial beer fermentations maintain and reuse yeast. At the end of fermentation a portion of the yeast is ‘cropped’ from the vessel for ‘serial repitching’. Harvesting yeast may select a population with an imbalance of young and aged individuals, but the output of any bioprocess is dependent on the physiology of each single cell in the population. Unlike continuous models, individual-based modelling is an approach that considers each microbe as an individual, a unique and discrete entity, with characteristics that change throughout its life. The aim of this contribution is to explore, by means of individual-based simulations, the effects of inoculum size and cell genealogical age on the dynamics of virtual yeast fermentation, focussing on: (1) the first stages of population growth, (2) the mean biomass evolution of the population, (3) the rate of glucose uptake and ethanol production, and (4) the biomass and genealogical age distributions. The ultimate goal is to integrate these results in order to make progress in the understanding of the composition of yeast populations and their temporal evolution in beer fermentations. Simulation results show that there is a clear influence of these initial features of the inocula on the subsequent growth dynamics. By contrasting both the individual and global properties of yeast cells and populations, we gain insight into the interrelation between these two types of data, which helps us to deal with the macroscopic behaviour observed in experimental research.     

Analysis of particle strain in stirred bioreactors by drop breakage investigations

Understanding of particle strain and drop breakage is relevant for various technical applications. To analyze it, single drop experiments in a breakage cell and evolving drop size distributions in an agitated system are studied. The mechanisms for particle strain and drop breakage are assumed to be comparable for the investigated turbulent flow regime. The agitation process is simulated using a population balance model. This model provides transient prediction capacities at different scales and can be used for scale-up/down projects. The number and the size distributions of daughter fragments for single drops have been studied. The results clearly support the assumption of binary breakage. The most common assumption of a Gaussian distribution for the daughter drop size distribution could not be supported. The evolution of a breakage-dominated toluene/water system was then simulated using different daughter drop size distributions from literature. The computational results were compared with experimental values. All simulations were able to predict the transient Sauter mean diameter excellently but varied strongly in the results on the shape of the distribution. In agreement with the experimental single drop results, the use of a bimodal or a very broad bell-shaped distribution of the daughter drops is proposed for the simulations. Although these results were obtained in a particular vessel for a specific phase system, it can be applied to simulate transient multiphase systems at different scales. We would expect that the general trends observed in this study are comparable to various applications in multiphase bioreactors.     

Daughters of the budding yeast from old mothers have shorter replicative lifespans but not total lifespans. Are DNA damage and rDNA instability the factors that determine longevity?

Although a lot of effort has been put into the search for factors responsible for aging in yeast mother cells, our knowledge of cellular changes in daughter cells originating from old mothers is still very limited. It has been shown that an old mother is not able to compensate for all negative changes within its cell and therefore transfers them to the bud. In this paper, we show for the first time that daughter cells of an old mother have a reset lifespan expressed in units of time despite drastic reduction of their budding lifespan, which suggests that a single yeast cell has a fixed programmed longevity regardless of the time point at which it was originated. Moreover, in our study we found that longevity parameters are not correlated with the rDNA level, DNA damage, chromosome structure or aging parameters (budding lifespan and total lifespan).