VARIABILITY OF CELL GENERATION TIMES IN A HEPATOMA CELL PEDIGREE

Time-lapse cinematographic analysis of a clone of HTC rat hepatoma cells showed variations in interdivision time within the clone. A positive correlation was found between the interdivision times of mother and daughter cells. The variability of the differences between interdivision times of cells of sister, cousin, second cousin or second-second cousin relationship was calculated. The proportion of cells with large differences in intermitotic times was found to increase with decreasing relationship. The clonal division pattern observed suggests strongly that ‘inherited’factors govern the process leading to cell division but that their effects can be modified.     

Clonal variation and aging of diploid fibroblasts : Cinematographic studies of cell pedigrees

Time-lapse cinematographic (TLC) analysis of clones of human diploid fibroblasts indicate heterogeneity in clonal division behaviour. Variations are noted in interdivision time, clone size and generations per clone. Correlation coefficients for interdivision times of sister pairs are high in young clones and generally low in aged clones. A consistent division pattern at all population doubling levels is one of low average interdivision time for early and late generations of a clone and high average interdivision time for the middle range of generations of a clone. The clonal division patterns observed experimentally have been duplicated in computer simulated pedigrees. The computer model is based on an oscillating system which allows for flux of regulator substances. The critical concentrations of regulator substances determine the clonal division pattern for a given progenitor cell.     

Comparison of pulmonary endothelial cell and fibroblast proliferation using time-lapse cinematographic analysis

Time-lapse cinematography was used to study and compare the proliferation and migration activity of pulmonary endothelial cells and fibroblasts, two cell types with very different structural and functional properties. Endothelial cells were found to have a mere rapid growth rate than fibroblasts. Contributing to the shorter population doubling time of the endothelial cells were lower interdivision times and a tendency for these cells to remain in division cycle with successive generations of growth. Striking differences between endothelial cells and fibroblasts were seen in migration behaviour. Endothelial cells had lower migration rates and tended to remain within a restricted growth area, whereas fibroblasts migrated freely throughout the growth area.     

Quantitative measurement of damage caused by 1064-nm wavelength optical trapping of Escherichia coli cells using on-chip single cell cultivation system

We quantitatively examined the possible damage to the growth and cell division ability of Escherichia coli caused by 1064-nm optical trapping. Using the synchronous behavior of two sister E. coli cells, the growth and interdivision times between those two cells, one of which was trapped by optical tweezers, the other was not irradiated, were compared using an on-chip single cell cultivation system. Cell growth stopped during the optical trapping period, even with the smallest irradiated power on the trapped cells. Moreover, the damage to the cell's growth and interdivision period was proportional to the total irradiated energy (work) on the cell, i.e., irradiation time multiplied by irradiation power. The division ability was more easily affected by a smaller energy, 0.36 J, which was 30% smaller than the energy that adversely affected growth, 0.54 J. The results indicate that the damage caused by optical trapping can be estimated from the total energy applied to cells, and furthermore, that the use of optical trapping for manipulating cells might cause damage to cell division and growth mechanisms, even at wavelengths under 1064 nm, if the total irradiation energy is excessive.     

Cell cycle parameters of Proteus mirabilis: interdependence of the biosynthetic cell cycle and the interdivision cycle.

We investigated the time periods of DNA replication, lateral cell wall extension, and septum formation within the cell cycle of Proteus mirabilis. Cells were cultivated under three different conditions, yielding interdivision times of approximately 55, 57, and 160 min, respectively. Synchrony was achieved by sucrose density gradient centrifugation. The time periods were estimated by division inhibition studies with cephalexin, mecillinam, and nalidixic acid. In addition, DNA replication was measured by thymidine incorporation, and murein biosynthesis was measured by incorporation of N-acetylglucosamine into sodium dodecyl sulfate-insoluble murein sacculi. At interdivision times of 55 to 57 min murein biosynthesis for reproduction of a unit cell lasted longer than the interdivision time itself, whereas DNA replication finished within 40 min. Surprisingly, inhibition of DNA replication by nalidixic acid did not inhibit the subsequent cell division but rather the one after that. Because P. mirabilis fails to express several reactions of the recA-dependent SOS functions known from Escherichia coli, the drug allowed us to determine which DNA replication period actually governed which cell division. Taken together, the results indicate that at an interdivision time of 55 to 57 min, the biosynthetic cell cycle of P. mirabilis lasts approximately 120 min. To achieve the observed interdivision time, it is necessary that two subsequent biosynthetic cell cycles be tightly interlocked. The implications of these findings for the regulation of the cell cycle are discussed.     

Control of F′lac Replication in Escherichia coli B/r

The timing of replication of an F'lac plasmid during the division cycle of Escherichia coli B/r lac(-)/F'lac was examined in relation to the timing of initiation of chromosome replication. This was accomplished by measuring the induction of beta-galactosidase and the incorporation of radioactive thymidine into cells at different ages in cultures growing exponentially at various rates. In cells growing with interdivision times of 27, 36, and 55 min, the F'lac replicated at various stages in the division cycle but always at approximately the same time as initiation of chromosome replication. In cells growing with an interdivision time of 85 min, the F'lac episome replicated midway through the division cycle, whereas chromosome replication initiated at the start of the cycle. Measurements of absorbance at 450 nm per cell suggested that the F'lac replicated when the cells reached a mass which was a constant multiple of the number of episomes per cell at each growth rate. In contrast, the mass per cell at initiation of chromosome replication in cells with an 85-min interdivision time was significantly lower than this constant value. A possible explanation for the apparent coupling between F'lac replication and initiation of chromosome replication at the higher growth rates, and the lack of coupling at the lowest growth rate, is discussed.     

Cinematographic analysis of vascular smooth muscle cell interactions with extracellular matrix

Summary The interactions of vascular smooth muscle cells with growth modulators and extracellular matrix molecules may play a role in the proliferation and migration of these cells after vascular injury and during the development of atherosclerosis. Time-lapse cinematographic techniques have been used to study cell division and migration of bovine carotid artery smooth muscle cells in response to matrix molecules consisting of solubilized basement membrane (Matrigel) and type I collagen. When cells were grown adjacent to Matrigel, both migration and cell proliferation were increased and interdivision time was shortened. Cells grown in Matrigel or in type I collagen had markedly reduced migration rates but interdivision time was not altered. Further, diffusible components of the Matrigel were found to stimulate proliferation of the smooth muscle cells. This work was supported by grants HL35684 and SCOR HL14212 from the National Institutes of Health, Bethesda, MD.     

Kinetics of Growth of Individual Cells of Escherichia coli and Azotobacter agilis

Escherichia coli and Azotobacter agilis were grown in minimal media until a steady state was established. The distribution of cell size was determined electronically. From the equation of Collins and Richmond, the growth rate of individual cells was computed as a function of size. The main features of the growth of individual E. coli and A. agilis cells revealed by this work were: the specific growth rate decreased at the time of division, and both the absolute and specific growth rates increased between divisions. The frequency function of interdivision times was computed and was found to be positively skewed with a coefficient of variation of approximately 0.3. The results supported the hypothesis of Koch and Schaechter that the size of an individual cell at division is highly regulated.     

Tightly regulated and heritable division control in single bacterial cells

The robust surface adherence property of the aquatic bacterium Caulobacter crescentus permits visualization of single cells in a linear microfluidic culture chamber over an extended number of generations. The division rate of Caulobacter in this continuous-flow culture environment is substantially faster than in other culture apparati and is independent of flow velocity. Analysis of the growth and division of single isogenic cells reveals that the cell cycle control network of this bacterium generates an oscillatory output with a coefficient of variation lower than that of all other bacterial species measured to date. DivJ, a regulator of polar cell development, is necessary for maintaining low variance in interdivision timing, as transposon disruption of divJ significantly increases the coefficient of variation of both interdivision time and the rate of cell elongation. Moreover, interdivision time and cell division arrest are significantly correlated between mother and daughter cells, providing evidence for epigenetic inheritance of cell division behavior in Caulobacter. The single-cell growth/division results reported here suggest that future predictive models of Caulobacter cell cycle regulation should include parameters describing the variance and inheritance properties of this system.     

Using single cell cultivation system for on-chip monitoring of the interdivision timer in <Emphasis Type="Italic">Chlamydomonas reinhardtii</Emphasis> cell cycle

Regulation of cell cycle progression in changing environments is vital for cell survival and maintenance, and different regulation mechanisms based on cell size and cell cycle time have been proposed. To determine the mechanism of cell cycle regulation in the unicellular green algae Chlamydomonas reinhardtii, we developed an on-chip single-cell cultivation system that allows for the strict control of the extracellular environment. We divided the Chlamydomonas cell cycle into interdivision and division phases on the basis of changes in cell size and found that, regardless of the amount of photosynthetically active radiation (PAR) and the extent of illumination, the length of the interdivision phase was inversely proportional to the rate of increase of cell volume. Their product remains constant indicating the existence of an 'interdivision timer'. The length of the division phase, in contrast, remained nearly constant. Cells cultivated under light-dark-light conditions did not divide unless they had grown to twice their initial volume during the first light period. This indicates the existence of a 'commitment sizer'. The ratio of the cell volume at the beginning of the division phase to the initial cell volume determined the number of daughter cells, indicating the existence of a 'mitotic sizer'.     

Clone size variation in the human diploid cell strain, WI-38

By mapping the location of isolated single cells; and then counting the number of cells at each location as a function of time. it was possible to accumulate data on the growth history for each of a large group of clones. The clone size distribution, its mean and standard deviation were computed for each day in culture. Variations in schedule of medium change and time of exposure to trypsin, did not measurably affect variation in clone size. Neither could clone size variation be accounted for on the basis of (1) occurrence of nondividing cells nor (2) presence of heritable growth rate variants in the population. It is probable that clone size variation under our conditions is primarily a consequence of a highly variable interdivision time among the constituent cells.     

Pole age affects cell size and the timing of cell division in Methylobacterium extorquens AM1

A number of recent experiments at the single-cell level have shown that genetically identical bacteria that live in homogeneous environments often show a substantial degree of phenotypic variation between cells. Often, this variation is attributed to stochastic aspects of biology-the fact that many biological processes involve small numbers of molecules and are thus inherently variable. However, not all variation between cells needs to be stochastic in nature; one deterministic process that could be important for cell variability in some bacterial species is the age of the cell poles. Working with the alphaproteobacterium Methylobacterium extorquens, we monitored individuals in clonally growing populations over several divisions and determined the pole age, cell size, and interdivision intervals of individual cells. We observed the high levels of variation in cell size and the timing of cell division that have been reported before. A substantial fraction of this variation could be explained by each cell's pole age and the pole age of its mother: cell size increased with increasing pole age, and the interval between cell divisions decreased. A theoretical model predicted that populations governed by such processes will quickly reach a stable distribution of different age and size classes. These results show that the pole age distribution in bacterial populations can contribute substantially to cellular individuality. In addition, they raise questions about functional differences between cells of different ages and the coupling of cell division to cell size.     

On the average cellular volume in synchronized cell populations

As was done by Sinclair and Ross (1969(, we consider a cellular population that consists initially (at time zero) ofN ₀ newborn cells, all with the same volumev _o. It is assumed that the occurrence of cell division is determined only by a cell’s age, and not by its volume. The frequency function of interdivision times, τ, is denoted byf(τ). If cell death is negligible, the expected number of cells,N(t), will increase according to the laws of a simple age-dependent branching process. The expression forN(t) is obtained as a sum over all generations; thevth term of this sum, in turn, is a multiple convolution integral, reflecting the life history ofvth generation cells (i.e., the lengths of thev successive interdivision periods plus the age of the cell at timet). Assuming that cell volume is a given function of cell age, e.g., linear or exponential, and that cellular volume is exactly halved at each division, it is possible to calculate the volume of a cell with a given life history, and thus the average cellular volume of the whole population as a function of time. If at time zero the volumes differ from cell to cell, the final equation must be modified by averaging over initial volumes. In the case of linear volume increase with age, a very simple asymptotic expression is found for the average cellular volume ast→∞. The case of exponential volume increase with age also leads to a simple asymptotic formula, but the resulting volume distribution is unstable. The mean cellular volume at birth and the second moment of the volume distribution can be calculated in a similar manner. Work supported by the U.S. Atomic Energy Commission.     

Time-lapse video reveals immediate heterogeneity and heritable damage among human ileocecal carcinoma HCT-8 cells treated with raltitrexed (ZD1694)

BACKGROUND: Cellular heterogeneity in drug response has important clinical implications, and is believed to develop over many generations during clonal evolution in human tumors. The purpose of this study was to determine the level of heterogeneity exhibited by sister cells soon after their birth. METHODS: Human ileocecal carcinoma cells (HCT-8) were followed up to 11 days in vitro after a 2-h exposure to 1 microM raltitrexed (IC(95)) in a time-lapse video system. RESULTS: Over five experiments, 414 cells were followed after exposure to raltitrexed. Immediate sterility occurred in 74% of treated cells. Only 6% of cells could produce more than two generations of offspring, and heterogeneity in drug response was seen. Comparing sister cells < 24 h old, the more proliferative sibling produced up to 73 times more offspring, with a median ratio of 9.0 (control median = 1.19). Offspring of prolific drug-treated cells had a decreased probability of division (68% compared with 92%) and an increased average interdivision time (19.0 h compared with 15.1 h). CONCLUSIONS: Short-term exposure to raltitrexed resulted in increased interdivision times and production of sterile offspring extending seven generations. Cellular heterogeneity (difference in proliferation potential comparing drug-treated sister cells) was evident without a period of clonal evolution.     

Some indications for inverse DNA duplication

The Continuum Model postulates that preparations for the initiation of DNA synthesis takes place continuously, and in all phases of the cell cycle. There are no G1-specific events involved in the initiation of DNA synthesis. The statistical predictions of the Continuum Model are now presented with four basic variables: (1) the rate of initiator synthesis, (2) the time for passage through the replication-segregation sequence, (3) the amount of initiator required for initiation of DNA synthesis in a particular cell, and (4) the variation in equipartition of cells at division. Computer simulations reveal that the Continuum Model is consistent with both α-and β-curves, as well as the quartile test for β-curves. It also explains sister-sister correlations, and the correlations between cell mass at various times in the division cycle and cell interdivision times. With one additional parameter, the Continuum Model can also explain mother-daughter correlation. The Continuum Model accounts for the statistical data which has previously been used to support the Transition-Probability Model. It has a simple biochemical basis, and can explain the observed biochemical and biological observations of cell growth and division.     

IL-2 regulates expansion of CD4+ T cell populations by affecting cell death: insights from modeling CFSE data

It is generally accepted that IL-2 influences the dynamics of populations of T cells in vitro and in vivo. However, which parameters for cell division and/or death are affected by IL-2 is not well understood. To get better insights into the potential ways of how IL-2 may influence the population dynamics of T cells, we analyze data on the dynamics of CFSE-labeled polyclonal CD4(+) T lymphocytes in vitro after anti-CD3 stimulation at different concentrations of exogenous IL-2. Inferring cell division and death rates from CFSE-delabeling experiments is not straightforward and requires the use of mathematical models. We find that to adequately describe the dynamics of T cells at low concentrations of exogenous IL-2, the death rate of divided cells has to increase with the number of divisions cells have undergone. IL-2 hardly affects the average interdivision time. At low IL-2 concentrations 1) fewer cells are recruited into the response and successfully complete their first division; 2) the stochasticity of cell division is increased; and 3) the rate, at which the death rate increases with the division number, increases. Summarizing, our mathematical reinterpretation suggests that the main effect of IL-2 on the in vitro dynamics of naive CD4(+) T cells occurs by affecting the rate of cell death and not by changing the rate of cell division.     

How the change from FLM to FACS affected our understanding of the G1-phase of the cell cycle

The frequency of labeled mitoses (FLM) method for analyzing cell-cycle phases necessitates a determination of cell-cycle interdivision times and the absolute lengths of the cell-cycle phases. The change to flow sorting (FACS) analysis, a simpler, less labor intensive, and more rapid method, eliminated determinations of absolute phase times, yielding only percents of cells exhibiting particular DMA contents. Without an interdivision time value, conversion of these fractions into absolute phase lengths is not possible. This change in methodology has led to an alteration in how the cell cycle is viewed. The FLM method allowed the conclusion that G1 phase variability resulted from constancy of S and G2 phase lengths. In contrast, with FACS analysis, slow growing cells exhibiting a large fraction of cells with a G1-phase amount of DMA appeared to be "arrested in G1 phase". The loss of absolute phase length determinations has therefore led to the proposals of G1-phase arrest, G1-phase controls, restriction points, and G0 phase. It is suggested that these G1-phase controls and phenomena require a critical reevaluation in the light of an alternative cell-cycle model that does not require or postulate such G1-phase controls.     

Single-cell and population lag times as a function of cell age

After inoculation, the times to the first divisions are longer and more widely distributed for those Escherichia coli single cells that spent more time in the stationary phase prior to inoculation. The second generation times are still longer than the typical generation times in the exponential phase, and this extended the apparent lag time of the cell population. The greater the variability of the single-cell interdivision intervals, the shorter are both the lag time and the doubling time of the population.     

Cell size, cell cycle and transition probability in mouse fibroblasts

This paper describes the relationship between cell size and cell division in two situations. In the first, quiescent cells were sorted on the basis of cell size using a fluorescence-activated cell sorter and returned to culture. The results of this type of experiment are compatible with the idea that once cells have completed a size-dependent lag, the rate of entry of cells into S phase is controlled by a rate-limiting random event (or transition).The second kind of experiment follows the kinetics of complete cell cycles in rapidly proliferating cells whose mothers had been sorted on the basis of cell size. The cells born of small mother cells have longer cycle times than cells derived from large mothers. The difference in the cycle time of these two classes was due to differences in the B phase of the cell cycle [containing S, G2, M and part of G1 (G1B)], transition probability being the same in both size classes. Our results show that S, G2 and M are unaffected by size, thus confining the effect of size to G1B. It seems probable that the variability of B phase in cloned cell populations is partly due to variations of cell size at division, and correlations between the cycle times of sister cells result because sibling cells are more similar in size than unrelated cells. The major factor controlling cell division in mouse fibroblasts is shown, however, to be the transition probability; size has a more minor role.