THE SYNTHESIS OF PHOSPHOLIPIDS IN THE NUCLEUS AND NUCLEAR MEMBRANE OF SYNCHRONIZED HeLa CELLS

HeLa cells were synchronized by a double thymidine block and pulse labeled at different stages of the cell cycle with ³H-choline. The specific activity of phospholipids extracted from the cell, the nucleus and the nuclear membrane showed a progressive increase from S to G₁; the incorporation of choline into phospholipids of asynchronous cells showed a specific activity intermediate between the values of S and G₁ cells. Similar results were obtained when ³²phosphorus was used as a precursor instead of choline. Thin layer chromatographic analysis of phospholipids extracted from cells in S and from cells in G₁ failed to show any difference in the distribution of radioactivity among the various phospholipid classes. Choline uptake by HeLa cells in different phases of the cell cycle did not show significant variations. However, during the synchronization process, shortly after the addition of excess thymidine, an increased uptake of choline by cells and an increased incorporation of choline into phospholipids were found. The results indicate that some of the changes occurring in phospholipids synthesis may not be cell cycle dependent, but may be the effect of the synchronizing process.     

Mitochondrial protein synthesis in chinese hamster cells (line CHO) synchronized by isoleucine deprivation

Mitochondrial protein synthesis was measured in line CHO cells after phases of the cell cycle were synchronized by isoleucine deprivation or mitotic selection. Maximum incorporation of [³H] leucine into mitochondrial polypeptides occurred within 2 hours after isoleucine was added to initiate G₁ traverse. In cells synchronized in G₁ by mitotic selection, the rate of mitochondrial protein synthesis was fairly constant throughout the cell cycle. SDS-polyacrylamide gel electrophoretic profiles of labeled mitochondrial polypeptides were similar in cells synchronized by either isoleucine deprivation or mitotic selection. Obvious changes in the distribution of polypeptides were not detected during various phases of the cell cycle. The increased rate of incorporation of [³H] leucine into mitochondrial polypeptides after reversal of G₁-arrest may indicate that mitochondrial protein synthesis and possibly mitochondrial biogenesis are synchronized in CHO cells deprived of isoleucine.     

DNA synthesis and proliferation of human lymphocytes in vitro: III. Fate of cycling cells in aging cultures of phytohemagglutinin stimulated human lymphocytes

There are few data available on cell cycle events that occur when proliferation of normal cells in culture is curtailed due to “natural aging” of the culture conditions. Stathmokinetic and cytofluorometry studies were performed on PHA-stimulated human lymphocyte cultures for eight consecutive days. Cell proliferation peaked on day 5 and then gradually decreased. Percent labeled mitosis curves performed each day demonstrated that, for those cells which progressed to mitosis, the cell cycle time remained constant at 18 ± 1 hour throughout the entire period of culture. However when the fate of all cells pulse-labeled with ³H-thymidine (S phase cells) was followed daily, only 64 ± 5% of labeled cells reached mitosis on day 3 and <20% on day 6. When the growth fraction was estimated by standard methods (with the labeling index) and used to predict future cell counts in the culture, proliferation was greatly overestimated; but after correcting the growth fraction for labeled cells not reaching mitosis, proliferation was accurately predicted by a newly derived “dividing fraction.” Flow cytofluorometry confirmed accumulation of cells in S and G₂ + M phases, and mitotic indices ruled out accumulation in M phase. Assessment of non-viable cells with cytofluorometry demonstrated that death occurred in all phases of the cell cycle. We conclude that with increasing age of culture, an increased fraction of cycling PHA-stimulated lymphocytes fail to progress all the way to mitosis and are arrested in S or G₂ phases. These observations provide evidence against the existence of a specific “restriction point” in G₁ or at the G₁/S interface in aging proliferating human lymphocyte cultures, but it remains to be determined whether cells arrested in S or G₂ phases retain the capacity to complete the cell cycle in more favorable culture environments.     

DNA synthesis and cell cycle progression of synchronized L-cells after irradiation in various phases of the cell cycle

Summary The varying sensitivity to radiation in the different phases of the cell cycle was investigated using L-929 cells of the mouse. The cells were synchronized by mechanical selection of mitotic cells. The synchronous populations were X-irradiated with a single dose of 10 Gy in the middle of the G₁-phase, at the G₁/S-transition or in the middle of the S-phase, respectively. The radiation effect was determined in 2 h intervals a) by¹⁴C-TdR incorporation (IT) into the DNA, b) by autoradiography (AR), c) by flow cytometry (FCM). The incorporation rate decreased in all three cases, but the reasons appeared to be different, as can be derived from FCM and AR data: After irradiation in G₁, a fraction of cells was prevented from entering S-phase, after irradiation at G₁/S a proportion of cells was blocked in the S-phase, and after irradiation in S, DNA synthesis rate was reduced. As a consequence of these effects, the mean transition time through S-phase increased. The G₂ blocks, obtained after irradiation at the three stages of the cycle were also different: Cells irradiated in G₁ are partly released from the block after 10 h. Irradiation at G₁/S caused a persisting accumulation of 50% of the cells in G₂, and for irradiation in S more than 80% of the cells were arrested in G₂.     

Variations in Several Responses of HeLa Cells to X-Irradiation during the Division Cycle

Several responses of synchronized populations of HeLa S3 cells were measured after irradiation with 220 kev x-rays at selected times during the division cycle. (1) Survival (colony-forming ability) is maximal when cells are irradiated in the early post-mitotic (G₁) and the pre-mitotic (G₂) phases of the cycle, and minimal in the mitotic (M) and late G₁ or early DNA synthetic (S) phases. (2) Markedly different growth patterns result from irradiation in different phases: (a) Prolongation of interphase (division delay) is minimal when cells are irradiated early in G₁ and rises progressively through the remainder of the cycle. (b) Cells irradiated while in mitosis are not delayed in that division, but the succeeding division is delayed. (c) Persistence of cells as metabolizing entities does not depend on the phase of the division cycle in which they are irradiated. (3) Characteristic perturbations of the normal DNA synthetic cycle occur: (a) Cells irradiated in M suffer a small delay in the onset of S, a slight prolongation of S, and a slight depression in the rate of DNA synthesis; the major delay occurs in G₂. (b) Cells irradiated in G₁ show no delay in the onset of S, and essentially no alteration in the duration or rate of DNA synthesis; G₂ delay is minimal. (c) Cells irradiated in S suffer an appreciable S prolongation and a decreased rate of DNA synthesis; G₂ delay is shorter than S delay.     

Image analysis of in situ cell cycle related changes of PCNA and Ki-67 proliferating antigen expression

Abstract. This study reports on the proliferating cell nuclear antigen (PCNA) and Ki-67 cell cycle related expression and distribution pattern analysed in the same cells. MCF-7 cells were synchronized by mitotic detachment and triple stained for DNA, PCNA and Ki-67. The major cell type was identified on each time sample as a function of the PCNA/Ki-67 pattern, and both antigens as well as DNA were quantified. During G₁ phase, the expression of PCNA greatly increased whereas Ki-67 content decreased. During S phase, nuclear Ki-67 content continuously increased especially in the second half of this phase, mainly due to the accumulation of the antigen in the nucleoli. During G₂ phase, the antigen significantly passed into the nucleoplasm, its content continued to increase and reached its maximum in mitotic cells. Nuclear PCNA content mostly increased in the first part of S phase and sharply declined in mitotic cells as the antigen shifted to the cytoplasm. Cells showing PCNA positive Ki-67 negative labelling were observed in all time samples from the beginning of the experiment. Their nuclear size, DNA content (of G₁ cells), PCNA content (equivalent to the content of some late G, cells) and time occurrence (their percentage increased after the last late G₁ cells had disappeared) tend to indicate that these cells have left the cycle by the end of G₁ phase to enter a quiescent state. Cells coming out of mitosis split into two groups according to their Ki-67/PCNA content. The biggest fraction was PCNA negative and Ki-67 positive while the smallest showed positive staining for both antibodies. Cells of this second cohort slowly lost their 1–67 while their PCNA content increased as they moved through G₁. Concurrently, most of the cells of the first cohort (here called Q2 and Q3 cell types) lost their Ki-67 without increasing their PCNA content; then they joined cells of the second cohort by increasing their PCNA content at the end of G, phase. Some cells of this first cohort can also increase their PCNA and thus reach cells of the first cohort before the end of G₁ phase. The existence of these two main cell cohorts suggests that cells after mitosis differ in some way that make them progress dlfferently through G₁. Some cells seem to go through early G₁ (G_1a and late G₁ (G_lb) while others may come out of mitosis committed to go through the following cycle by directly entering late G₁ compartment.     

Autoradiographic studies on the incorporation of3H-amino acids into chromosomes during the mitotic cell cycle ofHaplopappus gracilis

The synthesis of chromosomal proteins and the incorporation of labelled proteins into chromosomes in the mitotic cell cycle ofHaplopappus gracilis, 2n=4, were traced autoradiographically with³H-arginine,³H-lysine, and³H-tryptophane. The duration of the mitotic cell cycle in the root tip cells was determined by³H-thymidine autoradiography and was measured to be 13.0 hr (G₁ 1.3 hr, S 6.5 hr, G₂ 3.8 hr and M 1.4 hr).³H-arginine labelled proteins which were synthesized at S and G₂ were found to be incorporated into chromosomes to a greater extent than proteins which were synthesized either at G₁, at the transition phase from late S to early G₂, or at the mitotic phase. Such varied incorporation was also found in³H-lysine labelled proteins, but not in³H-tryptophane labelled proteins. These findings indicate that the chromosomal proteins are synthesized mainly at S and G₂. Some of the³H-arginine labelled proteins which were synthesized during the first mitotic cell cycle, were found to be incorporated into the chromosomes of the second mitotic cell cycle. The incorporation of the proteins synthesized at one stage of the mitotic cell cycle was found to occur locally in some regions of the chromosomes, while the pattern of incorporation was observed to be similar between euchromatic and heterochromatic regions.     

CELLULAR AND NUCLEAR VOLUME DURING THE CELL CYCLE OF NHIK 3025 CELLS

The distribution of cellular and nuclear volume in synchronous populations of NHIK 3025 cells, which derive from a cervix carcinoma, have been measured by electronic sizing during the first cell cycle after mitotic selection. Cells given an X-ray dose of 580 rad in G₁, were also studied. During the entire cell cycle the volume distribution of both cells and nuclei is an approximately Gaussian peak with a relative width at half maximum of about 30%. About half of this width is due to imperfect synchrony whereas the rest is associated with various time invariant factors. During S the mean volume of the cells grows exponentially whereas the nuclear volume increases faster than for exponential kinetics. Hence, although cellular and nuclear volumes are closely correlated, their ratio does not remain constant during the cell cycle. Volume growth during the first half of G₁ is negligible especially for nuclei where the growth appears to be closely associated with DNA-synthesis. For unirradiated cells the growth of cellular and nuclear volume is negligible also during G₂+ M. In contrast, the X-irradiated cells continue to grow during the 6 hr mitotic delay with a rate that is constant and about half of that observed in late S. Hence, radiation induced mitotic delay does not appear merely as a lengthening of an otherwise normal G₂. During G₁ and S the irradiated cells were identical to unirradiated ones with respect to all the parameters measured.     

Cell Synchrony Techniques. I. A Comparison of Methods

Abstract Selected cell synchrony techniques, as applied to asynchronous populations of Chinese hamster ovary (CHO) cells, have been compared. Aliquots from the same culture of exponentially growing cells were synchronized using mitotic selection, mitotic selection and hydroxyurea block, centrifugal elutriation, or an EPICS V cell sorter. Sorting of cells was achieved after staining cells with Hoechst 33258. After synchronization by the various methods the relative distribution of cells in G₁ S, or G₂+ M phases of the cell cycle was determined by flow cytometry. Fractions of synchronized cells obtained from each method were replated and allowed to progress through a second cell cycle. Mitotic selection gave rise to relatively pure and unperturbed early G₁ phase cells. While cell synchrony rapidly dispersed with time, cells progressed through the cell cycle in 12 hr. Sorting with the EPICS V on the modal G₁ peak yielded a relatively pure but heterogeneous G₁ population (i.e. early to late G₁). Again, synchrony dispersed with time, but cell-cycle progression required 14 hr. With centrifugal elutriation, several different cell populations synchronized throughout the cell cycle could be rapidly obtained with a purity comparable to mitotic selection and cell sorting. It was concluded that, either alone or in combination with blocking agents such as hydroxyurea, elutriation and mitotic selection were both excellent methods for synchronizing CHO cells. Cell sorting exhibited limitations in sample size and time required for synchronizing CHO cells. Its major advantage would be its ability to isolate cell populations unique with respect to selected cellular parameters.     

MITOSIS AND THE PROCESSES OF DIFFERENTIATION OF MYOGENIC CELLS IN VITRO

The relation between the mitotic cycle and myoblast fusion has been studied in chick skeletal muscle in vitro. The duration of the cell cycle phases was the same in both early and late cultures. By tracing a cohort of pulse-labeled cells, it was found that myoblast fusion does not occur in S, G₂, or M. Cell surface alterations required for fusion are dependent upon the position of the cell in the division cycle. In early cultures, fusion takes place only after a minimum delay of 5 hr from the time the cell has entered G₁. The mitosis preceding fusion may condition the cell for the abrupt shift in synthetic activity that occurs in the subsequent G₁. In older cultures fusion of labeled cells is diminished. Two factors account for the cessation of fusion in older cultures. First, the number of myogenic stem cells declines, but these cells do not disappear as the cultures mature. Their persistence was demonstrated by labeling dividing mononucleated cells in older cultures and challenging them with nascent myotubes. Some of these labeled cells were incorporated into the forming myotubes. Second, a block to fusion develops during myotube maturation. Well developed myotubes challenged with labeled competent myogenic cells failed to incorporate the labeled nuclei.     

INCORPORATION OF TRITIUM-LABELED THYMIDINE AND LYSINE INTO CHROMOSOMES OF CULTURED HUMAN LEUKOCYTES

The incorporation of thymidine-H³ and lysine-H³ into human leukocyte chromosomes was studied in order to determine the temporal relationships between the syntheses of chromosomal deoxyribonucleic acid and chromosomal protein. The labeled compounds were incorporated into nuclei of interphase cells. Label from both precursors became apparent over the chromosomes of dividing cells. Incorporation of thymidine-H³ occurred during a restricted period of midinterphase (S) which was preceded by a nonsynthetic period (G₁) and followed by a nonsynthetic period (G₂). Incorporation of lysine-H³ into chromosomal protein occurred throughout interphase. Grain counts made over chromosomes of dividing cells revealed that the rate of incorporation of lysine-H³ into chromosomal protein differed during various periods of interphase. The rate of incorporation was diminished during G₁. During early S period the rate of incorporation increased, reaching a peak in late S. The high rate continued into G₂. Thymidine-H³ incorporated into DNA was distributed to mitotic chromosomes of daughter cells in a manner which has been referred to as a "semi-conservative segregation." No such semi-conservative mechanism was found to affect the distribution of lysine-H³ to the mitotic chromosomes of daughter cells. Therefore, it is concluded that synthesis of chromosomal protein and its distribution to chromosomes of daughter cells are not directly influenced by synthesis and distribution of the chromosomal DNA with which the protein is associated.     

Progressive Increase In Polyamine Levels In 9l Cells in vitro During the Cell Cycle: Comparison Between Cells Isolated By Centrifugal Elutriation and Cells Grown In Synchrony

Centrifugal elutriation was used to separate 9L rat brain tumour cells into fractions enriched in the G₁, S, or G₂/M phases of the cell cycle. Cells enriched in early G₁, phase were recultured, grown in synchrony, and harvested periodically for analysis of their DNA distribution and polyamine content. Mathematical analysis of the DNA distributions indicated that excellent synchrony was obtained with low dissersion throughout the cell cycle. Polyamine accumulation began at the time of seeding, and intracellular levels of putrescine, spermidine, and spermine increased continuously during the cell cycle. In cells in the G₂/M phase of the cell cycle, putrescine and spermidine levels were twice as high as in cells in the G₁, phase. DNA distribution and polyamine levels were also analysed in cells taken directly from the various elutriation fractions enriched in G₁, S, or G₂/M. Because we did not obtain pure S or G₂/M populations by elutriation or by harvesting synchronized cells, a mathematical procedure—which assumed that the measured polyamine levels for any population were linearly related to the fraction of cells in the G₁, S, and G₂/M phases times the polyamine levels in these phases and that polyamine levels did not vary within these phases—was used to estimate ‘true’ phase-specific polyamine levels (levels to be expected if perfect synchrony were achieved). Estimated ‘true’ phase-specific polyamine levels calculated from the data obtained from cells either sorted by elutriation or obtained from synchronously growing cultures were very similar.     

DNA synthesis and the cell cycle in cultures of normal and mutant (mdg/mdg) embryonic mouse muscle cells.

The relationship between cell fusion, DNA synthesis and the cell cycle in cultured embryonic normal and dysgenic ($\text{mdg}\text{mdg}$) mouse muscle cells has been determined by autoradiography. The experimental evidence shows that the homozygous mutant myotubes form by a process of cell fusion and that nuclei within the myotubes do not synthesize DNA or undergo mitotic or amitotic division. The duration of the total cell cycle and its component phases was statistically the same in 2-day normal and mutant ($\text{mdg}\text{mdg}$) myogenic cultures with the approximate values: T, 21.5 hr; G₁, 10.5 hr; S, 7.5 hr; and G₂, 2.5 hr. In both kinds of cultures, labeled nuclei appeared in myotubes 15–16 hr after mononucleated cells were exposed to [³H]thymidine, and the rate of incorporation of labeled nuclei into multinucleated muscle cells was comparable in control and dysgenic cultures. Thus, homozygous $\text{mdg}\text{mdg}$ muscle cells in culture are similar to control cells with respect to their mechanism of myotube formation and the coordinate regulation of DNA synthesis and the cell cycle during myogenesis.     

Expression of the mitochondrial genome in HeLa cells. XXI. Mitochondrial protein synthesis during the cell cycle

Chloramphenicol sensitive [³H]leucine incorporation into protein (due to mitochondrial protein synthesis) in synchronized HeLa cells has been found to continue throughout interphase, its rate per cell approximately doubling from the G₁ to the G₂ phase. This increase in the rate of [³H]leucine incorporation during the cycle does not seem to parallel closely the increase in cell mass. In fact, the observations made on cultures incubated at 34.5 °C, where the G₁ and S phases are better resolved than at 37 °C, indicate that the rate remains constant during the G₁ phase, and starts to accelerate with the onset of nuclear DNA synthesis. Correspondingly, on a per unit mass basis, there appears to be a slight decline in the rate of [³H]leucine incorporation into protein during the G₁ phase, which is compensated by an increase in the early S phase. No significant variations were observed in the mitochondrial leucine pool labeling during the cell cycle; therefore, the observed pattern of [³H]leucine incorporation into protein should reflect fairly accurately the behavior of mitochondrial protein synthesis. Evidence has been obtained indicating a depression in the rate of incorporation of [³H]leucine into protein in mitochondria of mitotic cells. Sodium dodecyl sulfate-polyacrylamide gel electrophoresis analysis of the products of mitochondrial protein synthesis has not revealed any differences in the size distribution of the proteins synthesized in the various portions of the cell cycle.     

A Stochastic Model For Cell Populations With Circadian Rhythms

A mathematical model for cell kinetics, based on a random walk, is developed. the model allows variations with time of the rates of passage of proliferating cells through the four phases of the mitotic cycle. Circadian variations in the mitotic and labelling indices of the Syrian hamster cheek pouch epithelium have previously been observed, and the random walk model has been used to simulate this phenomenon. Assuming that all basal cells are proliferative and that these cells leave the basal layer randomly throughout the mitotic cycle to become differentiated cells, it was found that the experimentally observed circadian rhythms of the mitotic and labelling indices could be reproduced in the model by postulating a circadian rhythm in the rate of passage of cells through the G₁ and S phases only. Moreover, the growth activity of cells in both the G₁ and S phases appears to reach a peak during the dark hours of the light-dark cycle, and to fall off rapidly in the early hours of daylight. the postulate of Møller, Larsen & Faber (1974) that injection of the animals with tritiated thymidine causes a shortening of the G₂ phase duration has been qualitatively confirmed by using the random walk model to simulate the FLM and MI curves after injection with tritiated thymidine.     

Analysis of differential sensitivities of synchronized HeLa S3 cells to radiations and chemical carcinogen during the cell cycle. II. Ultraviolet light

UV-induction of thymine dimers in cellular DNA and their excision during different phases of the cell cycle of HeLa S3 cells were studied. Induction of thymine dimers was higher in the mitotic phase and the middle of the S phase than in the G₁ phase and from the late S phase to the early G₂ phase which are rather insensitive to UV. However, there is no significant difference in excision rate of UV-induced thymine dimers from the irradiated cells through the cell cycle. These findings indicate that the cyclic variation of UV-survivals during the cell cycle may be due to differences in the amount of thymine dimers in cellular DNA induced by UV-irradiation.     

Effect of the Cytomegalovirus on Cell Cycle Progression and Pathological Mitoses in Cultured Human Diploid Fibroblasts

The effect of the cytomegalovirus on the cell cycle was studied autoradiographically in an asynchronous culture of human diploid fibroblasts. The analysis of labeled mitosis showed that some cells infected in the S phase ceased to progress through the cell cycle at one of its phases (S, G ₂, or M); at the same time, at least part of the infected cells remained capable of entering mitosis. Beginning from day 2 after infection by cytomegalovirus, the accumulation of pathological mitotic cells blocked at metaphase was observed in the culture. Approximately 50% of these cells contained ³H-thymidine label above chromosomes. This suggested the possibility of pathological mitosis in cells that were infected both at the S and other phases of the cell cycle. The detailed morphological analysis of chromosomes at different stages of infection demonstrated that the degree of their morphological changes increases from slight (stronger condensation) to severe pathology (fragmentation). In the aggregate, the results of the study suggested that abnormal chromosome morphology resulted from irreversible cell division arrest under the effect of the cytomegalovirus.     

The activities of thymidine metabolising enzymes during the cell cycle of a human lymphocyte cell line LAZ-007 synchronised by centrifugal elutriation

The activities throughout the cell cycle of thymidine kinase (EC 2.7.1.21), dihydrothymine dehydrogenase (EC 1.3.1.2), thymidine phosphorylase (EC 2.4.2.4) and dTMP phosphatase (EC 3.1.3.35) were measured in the Epstein-Barr virally transformed human B lymphocyte line LAZ-007. Cells were synchronised at different stages of the cell cycle using the technique of centrifugal elutriation. The degree of synchrony in each cycle-stage cell population was determined by flow microfluorimetric analysis of DNA content and by measurement of thymidine incorporation into DNA. The activity of the anabolic enzyme thymidine kinase was low in the G₁ phase cells, but increased many-fold during the S and G₂ phases, reaching a maximum after the peak of DNA synthesis, then decreasing in late G₂ + M phase. By contrast, the specific activities of the enzymes involved in thymidine and thymidylate catabolism, dihydrothymine dehydrogenase, thymidine phosphorylase and dTMP phosphatase remained essentially constant throughout the cell cycle, indicating that the fate of thymidine at different stages of the cell cycle is governed primarily by regulation of the level of the anabolic enzyme thymidine kinase and not by regulation of the levels of thymidine catabolising enzymes.     

Cytological effects on Chinese hamster cells of synchronizing concentrations of hydroxyurea

The cytological effects of 2 mM hydroxyurea upon Chinese hamster cells at various phases of the cell cycle were examined. Cells in the G₁, G₂, or M phases of the generation cycle treated with hydroxyurea showed no chromosomal aberrations. Cell treated in S phase became moribund and eventually lysed. Some of these moribund S cells reached mitosis much later and were found to have chromatid aberrations. Cells in the log phase of growth, surviving exposure to 2 mM hydroxyurea for six hours, also showed no aberrations. Thus, viable (colony-forming) cells, resulting from synchrony procedures with hydroxyurea are free of chromosomal aberrations.     

CELL CYCLE TIME DETERMINATIONS BASED ON LIQUID SCINTILLATION COUNTING OF 3H-TdR LABELED MITOTIC CELLS

Following a 10 min pulse labeling with ³H-TdR, flasks of asynchronous monolayer cultures of Chinese hamster ovary cells were subjected to mitotic selection at 2 hr intervals. The mitotic index of the selected populations was always greater than 90%. Counts per min per cell obtained by liquid scintillation counting were plotted versus time after the pulse label. Comparisons were made between cycle times obtained by the mitotic-scintillation counting method and by the standard per cent labeled mitosis technique. The resulting curves were used for calculations of the cell cycle times and the lengths of G₁, S, G₂ and M phases of the cell cycle. There was less than 2% difference in the cell cycle times obtained using the scintillation method as compared to times calculated from autoradiographic data obtained from individual petri dishes. The mitotic-scintillation counting technique is simple, accurate and rapid and allows the calculation of the cell kinetics parameters within 1 hr of the end of the experiment.