GRAIN COUNT THRESHOLD DEPENDENCE OF FLM CURVE PATTERN AND CELL CYCLE PARAMETERS OF HEPATOCYTES IN VIVO

FLM curves from hepatocytes of regenerating rat liver in vivo were compared at different grain count thresholds. Estimates of cell cycle phases derived from curves with thresholds decreasing from 15 to 1 grain (background 0.2 grains per nuclear area) revealed a prolongation of t_s from 6.6 to 9.5 hr, at the expense of t_G2M, and t_G1, whereas t_c remained constant. A similar pattern was observed in FLM curves at various threshold levels for hepatocytes localized in subunits of the liver lobule along the vascular axis from afferent to efferent pole. The shapes of these FLM curves indicated an intralobular gradient of reutilizable labelled material. The use of two different threshold levels is crucial for proper selection of FLM curves to evaluate cell cycle phases in regenerating rat liver: first, a threshold to exclude the autoradiographic background, and a second one to avoid errors due to reutilization of labelled DNA precursors. Each threshold has its own implications for the estimation of cell cycle phases.     

CIRCADIAN RHYTHMS IN MOUSE EPIDERMAL BASAL CELL PROLIFERATION

Several kinetic parameters of basal cell proliferation in hairless mouse epidermis were studied, and all parameters clearly showed circadian fluctuations during two successive 24 hr periods. Mitotic indices and the mitotic rate were studied in histological sections; the proportions of cells with S and G₂ phase DNA content were measured by flow cytometry of isolated basal cells, and the [³H]TdR labelling indices and grain densities were determined by autoradiography in smears from basal cell suspensions. The influx and efflux of cells from each cell cycle phase were calculated from sinusoidal curves adapted to the cell kinetic findings and the phase durations were determined. A peak of cells in S phase was observed around midnight, and a cohort of partially synchronized cells passed from the S phase to the G₂ phase and traversed the G₂ phase and mitosis in the early morning. The fluctuations in the influx of cells into the S phase were small compared with the variations in efflux from the S phase and the flux through the subsequent cell cycle phases. The resulting delay in cell cycle traverse through S phase before midnight could well account for the accumulation of cells in S phase and, therefore, also the subsequent partial synchrony of cell cycle traverse through the G₂ phase and mitosis. Circadian variations in the duration of the S phase, the G₂ phase and mitosis were clearly demonstrated.     

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 DNA 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 DNA 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.     

Cell kinetic studies on the JB-1 ascites tumour of the mouse

Abstract. The FLM method, modified by double labelling with [³H]- and [¹⁴C]-thymidine, has been applied to the 4-day old JB-1 ascites tumour of the mouse. It results in well separated waves of purely [³H]- and purely [¹⁴C]-labelled mitoses, which show a remarkable asymmetry with long tails to the right. The following values for the mean transit times of the cells have been derived from this FLM curve, for a tumour age of 4–6 days: T_C= 32.5 hr, T_S= 16.7 hr, T_G1= 3.7 hr, T_G1= 11.0 hr and T_M= 1.1 hr. A further evaluation of the FLM curve, however, is difficult, due to the non-stationary growth of the tumour. A number of other experimental findings (growth curve, decrease of the labelling and mitotic index with increasing tumour age, two single-labelled FLM curves starting 4 and 6 days after tumour inoculation) indicate that the cell cycle time increases during the experimental period of the double-labelled FLM curve (about 2 days). A lengthening of the cycle time should result in an increasing enlargement of the areas under the waves of the modified FLM curve. However, such an increase in area has not been found; the areas are constant. All the results of the present cell kinetic studies would be consistent if it were postulated that the cell cycle time lengthens with increasing tumour age up to about 4 days after inoculation, then remains relatively constant at between 4 and 6 days and thereafter increases again. Short-term double labelling experiments suggest that this is actually the case. Under the assumption of nearly constant phase durations during the 5th and 6th day of tumour growth further conclusions can be drawn from the modified FLM curve. In particular, it follows that the transit times of the cells through successive cycle phases are uncorrelated and the variances of the transit times through a cycle phase are proportional to the duration of this phase.     

SEPARATION OF NUCLEI REPRESENTING DIFFERENT PHASES OF THE GROWTH CYCLE FROM UNSYNCHRONIZED MAMMALIAN CELL CULTURES

Nuclei have been isolated from unsynchronized cultures of Chinese hamster fibroblasts after varying intervals of growth following the incorporation of thymidine ^-3H for 20 min. These nuclei were fractionated by unit gravity sedimentation in a stabilizing density gradient of sucrose, and fractions were analyzed for the concentration of nuclei, DNA, and radioactivity. A more rapidly sedimenting population of nuclei in the G₂ phase of the cell cycle was separated from a group of nuclei in the G₁ phase, and nuclei in progressive stages of DNA synthesis (S phase) were distributed between these two regions. The fractionation of intact cells by sedimentation according to their position in the cell cycle was found to be less satisfactory than the corresponding separation of nuclei. This probably results from the continuous accumulation of mass within individual cells throughout the entire cell cycle, whereas most of the mass of a nucleus is replicated during a relatively narrow interval of the total cell cycle.     

CELL CYCLE EVENTS IN THE HYDROCORTISONE REGULATION OF ALKALINE PHOSPHATASE IN HELA S3 CELLS

The increase in alkaline phosphatase in asynchronous cultures of HeLa S₃ cells grown in medium supplemented with hydrocortisone is characterized by a lag period of 10–12 hr. Present studies utilizing synchronous cell populations indicate: (a) a minimum of 8–10 hr of incubation with hydrocortisone is necessary for maximum induction of alkaline phosphatase; (b) the increase in enzyme activity produced by hydrocortisone is initiated exclusively in the synthetic phase of the cell cycle; (c) alkaline phosphatase activity does not vary appreciably over a normal control cell cycle. Radioactive hydrocortisone is rapidly distributed into HeLa cells irrespective of their position in the cell cycle, indicating that inductive effects are not governed by selective permeability during the cell cycle. Hydrocortisone-1,2-[³H] diffuses back from the cell into the medium when the cells are incubated in fresh medium containing no hydrocortisone, and the alkaline phosphatase induction, under these conditions, is completely reversible.     

TESTOSTERONE-INDUCED CELL PROLIFERATION IN THE ACCESSORY SEX GLANDS OF MICE AT VARIOUS TIMES AFTER CASTRATION

The proliferative response to testosterone in the accessory sex glands (seminal vesicle and coagulating gland) of castrated male Balb/c mice has been examined by pulse and continuous thymidine-labelling experiments, and by the fraction of labelled mitoses technique. Progressive reductions in cellularity followed castration, and by varying the time elapsing between castration and the initiation of testosterone treatment, it was clear that the size of the response depended upon the number of cells in the tissue, relative to the normal complement. Interpretation of FLM data was difficult in periods where proliferative rates changed rapidly. We have attempted to explain the cell kinetic events by postulating a G₀ compartment, from which cells are stimulated to enter the proliferative cycle before subsequently returning to an out of cycle state. It was thought unlikely that substantial changes in cell cycle time occurred. In both the accessory sex glands, the overall form of the continuous thymidine labelling curves showed that most proliferative cells entered DNA synthesis in a shorter time after stimulation at 14 days after castration than they did at 3 days after castration. The data were not consistent with cells moving deeper into G₀ with time after castration. In the seminal vesicle almost all epithelial cells were potentially proliferative by 3 days after castration. In the coagulating gland only 30% were potentially proliferative at 3 days, increasing to 85% at 14 days after castration. However, such proportional increases represented much smaller changes in terms of absolute numbers of cells, because of a concomitant decline in cellularity from 3 to 14 days after castration.     

EXISTENCE OF TWO CHALONE-LIKE SUBSTANCES IN INTESTINAL EXTRACT FROM THE ADULT NEWT, INHIBITING EMBRYONIC INTESTINAL CELL PROLIFERATION

The inhibiting effect of tissue extract from fully differentiated intestinal mucosa of adult animals on proliferation kinetics of exponentially growing embryonic epithelial gut cell populations was studied in the newt Pleurodeles waltlii. Crude extract was fractionated by G-200 Sephadex chromatography and the effect of fractions on cell proliferation was studied using both mitotic index and ³H-thymidine incorporation methods. The inhibitions we obtained were then displayed by means of cytophotometric study of age distribution of intestinal gut cells around the cell cycle, measuring the Feulgen-DNA content. The results revealed the presence of two chalone-like substances in the intestine of adults. One (factor 1) is characterized by a molecular weight of between 120,000 and 150,000 and inhibits the cell cycle at the end of the G₁ phase, the other (factor 2) is characterized by a molecular weight lower than 2000 and inhibits the cell cycle in the course of the G₂ phase. The cells delayed in the G₂ phase escape from inhibition but the cells delayed in the G₁ phase do not, although availability time of both factor 1 and factor 2 is about 12 hr. It is thus thought that cells prevented from dividing in G₁ phase are indefinitely delayed in this phase and possibly differentiate.     

Lack of effect of butyrate on S phase DNA synthesis despite presence of histone hyperacetylation

The effects of sodium butyrate on [³H]thymidine incorporation and cell growth characteristics in randomly growing and synchronized HeLa S₃ cells have been examined in an attempt to determine what effects, if any, butyrate has on S phase cells. Whereas 5 mM sodium butyrate rapidly inhibits [⁵H]thymidine incorporation in a randomly growing cell populations, it has no effect on incorporation during the S phase in cells synchronized by double thymidine block techniques. This lack of effect does not result from an impaired ability of the S phase cells to take up butyrate, since butyrate administration during this period leads to histone hyperacetylation that is identical with that seen with butyrate treatment of randomly growing cells. Furthermore, the ability to induce such hyperacetylation with butyrate during an apparently normal progression through S phase indicates that histone hyperacetylation probably has no effect on the overall process of DNA replication. Temporal patterns of [³H]thymidine incorporation and cell growth following release from a 24-h exposure to butyrate confirm blockage of cell growth in the G1 phase of the cell cycle. Thus, the inhibition by butyrate of [³H]thymidine incorporation in randomly growing HeLa S₃ cell populations can be accounted for solely on the basis of a G1 phase block, with no inhibitory effects on cells already engaged in DNA synthesis or cells beyond the G1 phase block at the time of butyrate administration.     

CELL POPULATION KINETIC PROFILE OF THE MOUSE THYMUS, AND THE CHANGES INDUCED BY PREDNISOLONE

The cell population kinetic parameters of the thymus in BALB/c mice have been estimated using stathmokinetic and [³H]TdR techniques in both control animals and animals treated with prednisolone. FLM data were analysed by computer using the Gilbert program. The study showed that prednisolone had an inhibitory effect mainly in the DNA synthesis phase and in G₁. Stathmokinetic data also showed a decrease in the cell birth rate and an increase in the apparent cell cycle time (or potential doubling time) after treatment. The labelling index, the mitotic index and the growth fraction were also decreased. The study also shows a good agreement between the data obtained by stathmokinetic and [³H]TdR techniques.     

TRANSIT TIMES THROUGH THE CYCLE PHASES OF JEJUNAL CRYPT CELLS OF THE MOUSE ANALYSIS IN TERMS OF THE MEAN VALUES AND THE VARIANCES

Mean transit times as well as variances of the transit times through the individual phases of the cell cycle have been determined for the crypt epithelial cells of the jejunum of the mouse. To achieve this the fraction of labelled mitoses (FLM) technique has been modified by double labelling with [³H] and [¹⁴C]thymidine. Mice were given a first injection of [³H]thymidine, and 2 hr later a second injection of [¹⁴C]thymidine. This produces a narrow subpopulation of purely ³H-labelled cells at the beginning of G₂-phase and a corresponding subpopulation of purely ¹⁴C-labelled cells at the beginning of the S-phase. When these two subpopulations progress through the cell cycle, one obtains FLM waves of purely ³H- and purely ¹⁴C-labelled mitoses. These waves have considerably better resolution than the conventional FLM-curves. From the temporal positions of the observed maxima the mean transit times of the cells through the individual phases of the cycle can be determined. Moreover one obtains from the width of the individual waves the variances of the transit times through the individual phases. It has been found, that the variances of the transit times through successive phases are additive. This indicates that the transit times of cells through successive phases are independently distributed. This statistical independence is an implicit assumption in most of the models applied to the analysis of FLM curves, however there had previously been no experimental support of this assumption. A further result is, that the variance of the transit time through any phase of the cycle is proportional to the mean transit time. This implies that the progress of the crypt epithelial cells is subject to an equal degree of randomness in the various phases of the cycle.     

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.     

TURNOVER OF CELL-RENEWING POPULATIONS UNDERGOING CIRCADIAN RHYTHMS IN CELL PROLIFERATION

Evidence is presented in support of the concept of partial synchrony of cells as the cause for circadian rhythms in DNA synthesis and mitotic activity. The nonuniform age distribution of cells in cycle indicated that equations based on total asynchrony were not applicable for calculation of cytokinetic parameters in cellrenewing populations undergoing circadian rhythms. The integration of the circadian mitotic curve is introduced as a simple and accurate method for determination of proliferation rate and turnover time. An approximately linear increase in the labeling index following repeated injections of ³H-thymidine demonstrated that nearly 100% basal cells in hamster cheek pouch epithelia were in cycle during a turnover time. These experiments suggest that if there is a G₂ phase in cellrenewing tissues, this is short with respect to turnover time and that it may be a specific compartment where the control of cell proliferation operates.     

Flow cytometric estimation of cell cycle parameters using a monoclonal antibody to bromodeoxyuridine

An estimation of cell kinetic parameters was made by simultaneous flow cytometric measurements of DNA and bromodeoxyuridine (BrdUrd) contents of cells. The procedure described in this paper involves the incorporation of BrdUrd by S phase cells, labeling the BrdUrd with an indirect immunofluorescent technique using a monoclonal anti-BrdUrd antibody, and staining DNA with propidium iodide (PI). The amount of incorporated BrdUrd in HeLa cells was proportional to that of synthesized DNA through S phase. For all cell lines examined, the pattern of BrdUrd incorporation was essentially the same and the rate of DNA synthesis during S phase was not constant. The bivariate BrdUrd/DNA distributions showed a horse-shoe pattern, maximum in the mid S phase and minimum in the early and late S phases. Furthermore, the durations of cell cycle (Tc) and S phase (Ts) were estimated from a FLSm (fraction of labeled cells in mid S phase) curve that was generated by plotting the percentage of BrdUrd pulse-labeled cells in a narrow window defined in the mid S phase of the DNA histogram. The values of these parameters in NIH 3T3, HeLa S3, and HL-60 cells were in good accordance with the reported data. This FCM method using the monoclonal anti-BrdUrd antibody allows rapid determination of both cell cycle compartments and also Ts and Tc without the use of radioactive DNA precursors.     

I. THEORETICAL OUTLINE OF A NEW METHOD TO ANALYZE TIME SEQUENCES OF DNA HISTOGRAMS

A new mathematical method is presented to analyze a time sequence of DNA distributions taken from perturbed cell populations. The method, called FP_i analysis, consists of plotting the time variation of the fraction of cells in selected DNA contents ‘windows’ of the histogram. It is shown that kinetic information about the flow of cells through the cycle after the perturbation can be estimated from the FP_i curves. An analysis of the method reveals that the method yields accurate results for the instrumental and cytochemical variations obtainable by present technology. The value of the method lies in the fact that the information needed can be obtained directly from the measured DNA distribution, thus bypassing the problems with other methods which estimate the fraction of cells in a given phase directly from a single histogram.     

INCREASED CELL PROLIFERATION WITH PERSISTENCE OF CIRCADIAN RHYTHMS IN HAMSTER CHEEK POUCH NEOPLASMS

Squamous cell neoplasms induced by repeated topical application of 7,12-dimethyl-benz(a)anthracene in Syrian hamster cheek pouch exhibited circadian rhythms of DNA synthesis and mitotic activity. Fluctuations in the fractions of cells in mitosis and DNA synthesis observed in the tumors were approximately in phase with the circadian rhythms from normal precursor epithelium, indicating that some degree of host physiologic modulation persists during neoplastic growth. The labeling (thymidine-³H) and mitotic indices of neoplasms were considerably higher than normal throughout the 24 hr period. The duration of the neoplastic S phase—measured from the PLM curve—was 30% shorter than normal; G₂ did not show detectable variation. The data demonstrated that chemically induced squamous cell neoplasms had markedly increased rates of cell production. It is postulated that applications of a carcinogen upon a cell-renewing population generate a multicompartmental cytokinetic imbalance in which: (1) a higher proportion of G₀ cells is stimulated to enter the cycle; (2) the duration of the cell cycle is shortened; (3) the regulatory mechanisms fail to stimulate an accelerated rate of differentiation to compensate for the overproduction of cells; and (4) the state of proliferative hyperactivity becomes stable. An oncogenic cytokinetic mechanism based solely on a persistent decrease in cell loss (differentiation) is ruled out by the present investigation, at least for squamous cell neoplasms.     

A SIMPLE COMPUTER SIMULATION MODEL FOR GROWING CELL POPULATIONS: ANALYSIS OF SYNCHRONIZED HELA CELL CULTURES

A simple simulation model is presented for growing cell populations. It consists of various ‘classes’of cells (usually thirty) with different cell cycle durations. The cells of each class are distributed in ‘compartments’(thirty to fifty) with different ages. A ‘typical cell’of each compartment is chosen at random and its behaviour weighed according to the number of cells of the compartment. When the parameters for cycle phase durations (G₂, S, G₁ and M) obtained from Quastler-Sherman curves on HeLa cell cultures are fed into the model and the initial distribution of cells is randomized according to the law of exponential growth, the model behaves as an exponentially growing culture with near stable values for the percentage of cells in the various phases of the cell cycle. The level of noise due to random sampling is not objectionable. The behaviour of the model is compared to that of HeLa cultures synchronized by two successive treatments with 2 mM thymidine. While a complete block of S gives very inadequate results, a slowing down of this phase to 25 or 30% of its original speed is enough to simulate all the modifications produced by the thymidine treatment on the cultures. It is not necessary to postulate any other effect. These biological conclusions are reached in spite of the simplicity of the system. The behaviour of the model stresses the fact that for simulating the actual behaviour of cell populations, some parameters of the cell cycle have to be known with considerable accuracy, others are less critical. The model is compared with other mathematical models of cell populations recently proposed and ways to improve it are discussed.     

An improved mathematical method to estimate DNA synthesis time of bromodeoxyuridine-labelled cells, using FCM-derived data

Abstract. Chinese hamster ovary cells in vitro were pulse-labelled with bromodeoxyuridine (BrdUrd and were then allowed to progress through the cell cycle. Every half hour after labelling, cells were harvested and prepared for simultaneous flow cytometric determination of DNA content and incorporated BrdUrd, with the intercalating dye propidium iodide and with a monoclonal antibody against incorporated BrdUrd, respectively. The relative movement (RM), i.e. the relative mean DNA content of the moving cohort of BrdUrd-labelled cells in relation to that of G₁ and G₂ cells, was calculated. RM was then used to calculate DNA synthesis time (T_S), at all post-labelling times (t). Since labelled cells in G₂ and mitosis (M) in addition to S phase cells, are included in the cohort of moving labelled cells, and since the time of G₂ and M (T_g2+M) phases is finite, a non-linear relationship exists between RM and post-labelling time. Because of this, the use of a linear formula in the calculation of T_S yields results that are affected by t. We found that RM data can be corrected with regard to T_G2+M resulting in the derivation of a non-linear T_S formula. This non-linear T_S formula gave results that were nearly independent of t. Moreover, windows were set in the mid DNA distributions for G₁, S and G₂+ M cells in the bivariate DNA v. BrdUrd cytograms, to estimate the fraction of BrdUrd-labelled cells in each window at every post-labelling time. Plots of the fraction of BrdUrd-labelled cells v. post-labelling time were then made for each window. T_S obtained in this way was in agreement with T_S obtained with the corrected RM method. In conclusion, we present a method to calculate T_s which theoretically first makes the determination of RM independent of T_G2+M, and secondly compensates for the non-linear function of RM with post-labelling time caused by accumulation of BrdUrd-labelled cells in G₂+ M.