Parametric analysis of volume distributions of Schizosaccharomyces pombe and other cells

Growth during the cell cycle

During the cell cycle, major bulk parameters such as volume, dry mass, total protein, and total RNA double and such growth is a fundamental property of the cell cycle. The patterns of growth in volume and total protein or RNA provide an "envelope" that contains and may restrict the gear wheels. The main parameters of cell cycle growth were established in the earlier work when people moved from this field to the reductionist approaches of molecular biology, but very little is known on the patterns of metabolism. Most of the bulk properties of cells show a continuous increase during the cell cycle, although the exact pattern of this increase may vary. Since the earliest days, there have been two popular models, based on an exponential increase and linear increase. In the first, there is no sharp change in the rate of increase through the cycle but a smooth increase by a factor of two. In the second, the rate of increase stays constant through much of the cycle but it doubles sharply at a rate change point (RCP). It is thought that the exponential increase is caused by the steady growth of ribosome numbers and the linear pattern is caused by a doubling of the structural genes during the S period giving an RCP--a "gene dosage" effect. In budding yeast, there are experiments fitting both models but on balance slightly favoring "gene dosage." In fission yeast, there is no good evidence of exponential increase. All the bulk properties, except O2 consumption, appear to follow linear patterns with an RCP during the short S period. In addition, there is in wild-type cells a minor RCP in G2 where the rate increases by 70%. In mammalian cells, there is good but not extensive evidence of exponential increase. In Escherichia coli, exponential increase appears to be the pattern. There are two important points: First, some proteins do not show peaks of periodic synthesis. If they show patterns of exponential increase both they and the total protein pattern will not be cell cycle regulated. However, if the total protein pattern is not exponential, then a majority of the individual proteins will be so regulated. If this majority pattern is linear, then it can be detected from rate measurements on total protein. However, it would be much harder at the level of individual proteins where the methods are at present not sensitive enough to detect a rate change by a factor of two. At a simple level, it is only the exponential increase that is not cell cycle regulated in a synchronous culture. The existence of a "size control" is well known and the control has been studied for a long time, but it has been remarkably resistant to molecular analysis. The attainment of a critical size triggers the periodic events of the cycle such as the S period and mitosis. This control acts as a homeostatic effector that maintains a constant "average" cell size at division through successive cycles in a growing culture. It is a vital link coordinating cell growth with periodic events of the cycle. A size control is present in all the systems and appears to operate near the start of S or of mitosis when the cell has reached a critical size, but the molecular mechanism by which size is measured remains both obscure and a challenge. A simple version might be for the cell to detect a critical concentration of a gene product.

Ruptured fission yeast walls. Structural discontinuities related to the cell cycle

Distributions of rupture sites of fission yeast cells ruptured by glass beads have been related to a new morphometric analysis. As shown previously (Johnson et al., Cell Biophysics, 1995), ruptures were not randomly distributed nor was their distribution dictated by geometry, rather, ruptures at the extensile end were related to cell length just as the rate of extension is related to cell length. The extension patterns of early log, mid-log, late log, and stationary phase cells from suspension cultures were found to approximate the linear growth patterns of Kubitschek and Clay (1986). The median length of cells was found to decline through the log phase in an unbalanced manner.

Cell cycle length, cell size, and proliferation rate in hydra stem cells

We have analyzed the cell cycle parameters of interstitial cells in Hydra oligactis. Three subpopulations of cells with short, medium, and long cell cycles were identified. Short-cycle cells are stem cells; medium-cycle cells are precursors to nematocyte differentiation; long-cycle cells are precursors to gamete differentiation. We have also determined the effect of different cell densities on the population doubling time, cell cycle length, and cell size of interstitial cells. Our results indicate that decreasing the interstitial cell density from 0.35 to 0.1 interstitial cells/epithelial cell (1) shortens the population doubling time from 4 to 1.8 days, (2) increases the [3H]thymidine labeling index from 0.5 to 0.75 and shifts the nuclear DNA distribution from G2 to S phase cells, and (3) decreases the length of G2 in stem cells from 6 to 3 hr. The shortened cell cycle is correlated with a significant decrease in the size of interstitial stem cells. Coincident with the shortened cell cycle and increased growth rate there is an increase in stem cell self-renewal and a decrease in stem cell differentiation.

Cell cycle modelling

Models able to describe the events of cellular growth and division and the dynamics of cell populations are useful for the understanding of functional control mechanisms and for the theoretical support for automated analysis of flow cytometric data and of cell volume distributions. This paper reports on models that we have developed with this aim for different kinds of cells. The models are composed by two subsystems: one describes the growth dynamics of RNA and protein, and the second accounts for DNA replication and cell division, and describe in a rather unitary frame the cell cycle of eukaryotic cells, like mammalian cells and yeast, and of prokaryotic cells. The model is also used to study the effects of various sources of variability on the statistical properties of cell populations, and we find that in microbial cells the main source of variability appears to be an inaccuracy of the molecular mechanism that monitors cell size. In normal mammalian cells another source of variability, that depends upon the interaction with growth factors which give competence, is apparent. An extended version of the model, which comprises also this additional variability, is presented and used to describe the properties of mammalian cell growth.

Estimating the mode of growth of individual microbial cells from cell volume distributions

Two new methods are derived for inferring the mode of growth of individual microbial cells from measurements made of the volume distributions of populations. One is based on statistics of the observed distribution and has the particular advantage that it is very easy to use. The second, which requires gradient centrifugation, yields the mode of growth directly, rather than by comparison with theoretically derived distributions. Both methods have been found to be more sensitive than those previously suggested.

A computer algorithm for the analysis of protein distribution in budding yeast

Flow cytometry gives relevant data on cellular parameters such as DNA, RNA, and protein contents of individual cells and is therefore a powerful tool for analyzing microbial population dynamics. Relevant information about growth dynamics may be obtained from protein distribution. In fact, protein distribution is related to age distribution and depends on the law of growth of the population and the law of growth of the single cell. To extract the available information from protein distribution, we developed a computer algorithm starting from a model for growth of Saccharomyces cerevisiae. This algorithm quantitatively fits experimental protein distributions, allows a deconvolution of these distributions, and thus yields information about temporal parameters of the cell cycle and structure of yeast populations.

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.

Proliferation of mitochondria during the cell cycle of the human cell line (HL-60)

Using rhodamine 123 to stain mitochondria of the human cell line HL-60, we have followed their increase over the cell cycle by flow cytometry. A near-linear synthesis of mitochondrial mass was shown to occur over the cell cycle. A comparison with the cell's DNA synthesis pattern obtained by the same technique established a common time-base. The mitochondrial synthesis curve changes with culture age. As a control, thd dye was tested for its binding specificity and for its use to resolve mitochondria microscopically. Its stoichiometric range was established and, above 0.25 microgram/ml, it was shown to reduce growth rate and cell viability in culture.

Energy-dependent uptake of calcium by the yeast Schizosaccharomyces pombe

1. In resting cells of the fission yeast Schizosaccharomyces pombe, the uptake of calcium is stimulated by the addition of 90 mM glucose in the presence as in the absence of respiration and inhibited by Antimycin A in the absence of exogenous carbon source. This uptake therefore requires fermentative or respiratory metabolic energy. 2. The calcium uptake by S. pombe exhibits saturation kinetics and high affinity for calcium. At external pH 4.5, the apparent Km is 45 muM ca2+ 400 muM of other divalent cations exert competitive inhibitions of calcium uptake in the following order of affinities: Sr2+ greater than Mn2+ greater than Co2+ greater than Mg2+. Inhibition by KCl is also observed but is of non-competitive type and requires high concentrations of the order of 40 mM. 3. At 30 degrees C, the uptake rate of calcium is about 10-times higher at pH 8925 than at pH 4.0. An extrusion of 45Ca2+, the rate of which is estimated to be lower than one-fifth of the uptake, is observed in the presence of glucose when the external pH is acid. 4. At external pH 4.5, low concentrations of lanthanum chloride, ruthenium red and hexamine cobaltichloride are inhibitory for the uptake of calcium by the yeast cells. 5. In presence of Antimycin A, the uncouplers: NaN3, dinitrophenol, and concentrations of crobonylcyanide m-chlorophenylhydrazone higher than 80 muM inhibit the calcium uptake by glycolysing cells. In the presence of glucose, the K+ ionophore Dio-9 dnhances severalfold the uptake of calcium even at 2 degrees C. 6. It is concluded that S. pombe possess an active transport system for low concentrations of calcium. This transport seems to be dependent on an electric potential (negative inside) across the cellular membrane.