Mean Cell Cycle Time Research Articles

Exact solution of a three-stage model of stochastic gene expression including cell-cycle dynamics

The classical three-stage model of stochastic gene expression predicts the statistics of single cell mRNA and protein number fluctuations as a function of the rates of promoter switching, transcription, translation, degradation and dilution. While this model is easily simulated, its analytical solution remains an unsolved problem. Here we modify this model to explicitly include cell-cycle dynamics and then derive an exact solution for the time-dependent joint distribution of mRNA and protein numbers. We show large differences between this model and the classical model which captures cell-cycle effects implicitly via effective first-order dilution reactions. In particular we find that the Fano factor of protein numbers calculated from a population snapshot measurement are underestimated by the classical model whereas the correlation between mRNA and protein can be either over- or underestimated, depending on the timescales of mRNA degradation and promoter switching relative to the mean cell-cycle duration time.

Quantifying and mathematical modelling of the influence of soluble adenylate cyclase on cell cycle in human endothelial cells with Bayesian inference.

Adenosine-3', 5'-cyclic monophosphate (cAMP) produced by adenylate cyclases (ADCYs) is an established key regulator of cell homoeostasis. However, its role in cell cycle control is still controversially discussed. This study focussed on the impact of soluble HCO3 - -activated ADCY10 on cell cycle progression. Effects are quantified with Bayesian inference integrating a mathematical model and experimental data. The activity of ADCY10 in human umbilical vein endothelial cells (HUVECs) was either pharmacologically inhibited by KH7 or endogenously activated by HCO3 - . Cell numbers of individual cell cycle phases were assessed over time using flow cytometry. Based on these numbers, cell cycle dynamics were analysed using a mathematical model. This allowed precise quantification of cell cycle dynamics with model parameters that describe the durations of individual cell cycle phases. Endogenous inactivation of ADCY10 resulted in prolongation of mean cell cycle times (38.7 ± 8.3h at 0 mM HCO3 - vs 30.3 ± 2.7h at 24 mM HCO3 - ), while pharmacological inhibition resulted in functional arrest of cell cycle by increasing mean cell cycle time after G0 /G1 synchronization to 221.0 ± 96.3h. All cell cycle phases progressed slower due to ADCY10 inactivation. In particular, the G1 -S transition was quantitatively the most influenced by ADCY10. In conclusion, the data of the present study show that ADCY10 is a key regulator in cell cycle progression linked specifically to the G1 -S transition.

The role of hypofractionated radiotherapy in the management of head and neck cancer – a modelling approach

IntroductionCancer stem cells (CSCs) and hypoxia are key contributors towards radioresistance and they influence the choice of radiotherapy schedule for optimal tumour control. Since hypofractionation is becoming more popular in head and neck cancer (HNC) management, the aim of this work is to use a modelling approach to evaluate the efficacy of hypofractionated radiotherapy on both early stage and advanced tumours. MethodsAn in silico HNC was developed starting from one CSC. For a biologically indorsed tumour, CSCs generate all heterogeneous cell lineages with a 1.9% probability of symmetrical division, 33 h mean cell cycle time and 52 days volume doubling time. The simulated schedules include conventional, hyperfractionated, and hypofractionated radiotherapy and they target tumours with various oxygenation levels. ResultsOxic and mildly hypoxic tumours can benefit from hypofractionation, which reduces treatment time without increasing adverse events. Advanced tumours are only controlled by hyperfractionation, however a tumour with oxygen levels below 6 mmHg and 5.9% pre-treatment CSCs, needs either a dose greater than 81.6 Gy to be eradicated or the addition of adjuvant therapies. ConclusionsHypofractionation is suited for early stage tumours, whereas aggressive HNC require hyperfractionation. The interplay between CSCs and hypoxia dictates the optimal treatment strategy.

Tumour resistance to cisplatin: a modelling approach

Although chemotherapy has revolutionized the treatment of haematological tumours, in many common solid tumours the success has been limited. Some of the reasons for the limitations are: the timing of drug delivery, resistance to the drug, repopulation between cycles of chemotherapy and the lack of complete understanding of the pharmacokinetics and pharmacodynamics of a specific agent. Cisplatin is among the most effective cytotoxic agents used in head and neck cancer treatments. When modelling cisplatin as a single agent, the properties of cisplatin only have to be taken into account, reducing the number of assumptions that are considered in the generalized chemotherapy models. The aim of the present paper is to model the biological effect of cisplatin and to simulate the consequence of cisplatin resistance on tumour control. The ‘treated’ tumour is a squamous cell carcinoma of the head and neck, previously grown by computer-based Monte Carlo techniques. The model maintained the biological constitution of a tumour through the generation of stem cells, proliferating cells and non-proliferating cells. Cell kinetic parameters (mean cell cycle time, cell loss factor, thymidine labelling index) were also consistent with the literature. A sensitivity study on the contribution of various mechanisms leading to drug resistance is undertaken. To quantify the extent of drug resistance, the cisplatin resistance factor (CRF) is defined as the ratio between the number of surviving cells of the resistant population and the number of surviving cells of the sensitive population, determined after the same treatment time. It is shown that there is a supra-linear dependence of CRF on the percentage of cisplatin-DNA adducts formed, and a sigmoid-like dependence between CRF and the percentage of cells killed in resistant tumours. Drug resistance is shown to be a cumulative process which eventually can overcome tumour regression leading to treatment failure.

Stages of embryonic development in the Atlantic cod Gadus morhua.

The early development of the Atlantic cod, Gadus morhua was studied from fertilization until first-feeding. Multiple families were reared at 7 degrees C and a developmental staging series was prepared using morphological landmarks visible with the light microscope. Stages were named rather than numbered to allow for future additions and broadly grouped into larger time intervals called periods. The most useful staging features were found to be initially cell number, and later in development, somite number. The mean cell cycle time for the first six cleavages was 135 min and the linear regression equation for development of somites(s) over time (t) was s = 0.29t - 18.14. The segmentation period began at 220 h postfertilization (hpf), and unlike some other teleosts, the addition of new somites continued throughout the majority of embryonic development, until just prior to hatching. Hatching occurred at 256 hpf, after which individuals remained motionless at the water's surface, undergoing negative phototaxis only after the first day posthatch. The first-feeding stage was reached at the end of the third day posthatch, subsequent to development of a functional jaw and hindgut. This staging series provides an essential baseline reference for future experiments involving developing cod embryos and for the aquaculture industry.

The application of mathematical modelling to aspects of adjuvant chemotherapy scheduling.

In this paper simple models for tumour growth incorporating age-structured cell cycle dynamics are considered in the presence of two non-cross-resistant S-phase specific chemotherapeutic drugs. According to the seminal work of Goldie and Coldman, if one cannot deliver two cell cycle phase non-specific, non-cross-resistant drugs simultaneously, for example due to toxicity, and both drugs are identical apart from resistance, one should alternate their delivery as rapidly as possible. However consider S-phase specific drugs. One might speculate that, for example, alternating the two drugs at intervals of T, where T is the mean cell cycle time, is better than alternating the drugs at intervals of T/2, as the latter strategy allows the possibility of a cell cycle sanctuary. Such speculation implicitly requires a sufficiently low variance of the cell cycle time, and hence it is not clear if such reasoning prevents a generalisation of the results of Goldie and Coldman. This question is addressed in this paper via a detailed modelling investigation, as motivated by suggestions for future colorectal adjuvant chemotherapy trials and developments in hepatic arterial infusion technology. It is shown that the cell cycle distribution of the resistant cell populations is strongly influenced by the chemotherapy schedule. The consequences of this can be dramatic, and can lead to chemotherapy failure at resonant chemotherapy timings, especially for a small standard deviation of the cell cycle time. The novel aspects of this observation are highlighted compared to other models in the literature exhibiting resonant behaviour in the timing of a periodic chemotherapy protocol. The above investigation also results in the principal prediction of this paper that reducing the drug alternation time to approximately a few hours, if possible, can result in substantial improvements in predicted chemotherapy outcomes. Critically, such improvements are not predicted by the Goldie Coldman model or other chemotherapy scheduling models in the literature.

Simulation of cell proliferation in mouse oral epithelium, and the action of epidermal growth factor: evidence for a high degree of synchronization of the stem cells.

Computer simulation has been carried out to help to determine the cell-proliferative mechanisms underlying data gathered from a double-labelling experiment on the dorsal tongue of the mouse. Good fits to the data have been obtained by assuming that there is a high degree of synchrony in the stem cells, which have a 24-h cell cycle time, and that daughters of these cells undergo two further divisions, with mean cell cycle times of 48 h, before differentiating. This results in one-seventh of proliferative cells being stem cells, which ties in well with the concept of epidermal proliferative units. There is no need to assume that S-phase duration changes diurnally. The administration of epidermal growth factor seems to increase the degree of synchrony. In such systems, the influx to S-phase and the efflux from it have very sudden short peaks, which it is impossible to observe unless observations are taken very frequently. There are therefore implications for the designs of experiments that attempt to study diurnal rhythms or the effect of factors that disturb the normal proliferative pattern of cells.

Desynchronization Rate in Cell Populations: Mathematical Modeling and Experimental Data

We characterize the kinetics of two cancer cell lines: IGROV1 (ovarian carcinoma) and MOLT4 (leukemia). By means of flow cytometry, we selected two populations from exponentially growing in vitro cell lines, depending on the cells' DNA synthesis activity during a preceding labeling period. For these populations we determined the time course of the percentages of cells in different phases of the cycles, sampling every 3 hr for 60 hr. Initially, semi-synchronous populations quickly converged to a stable age distribution, which is typical of the cell line (at equilibrium); this desynchronization reflects the intercell variability in cell cycle duration. By matching these experimental observations to mathematical modelling, we related the convergence rate toward the asymptotic distribution (R) and the period of the phase-percentage oscillations (T), to the mean cell cycle duration and its coefficient of variation. We give two formulas involving the above-mentioned parameters. Since T and R can be drawn by fitting our data to an asymptotic formula obtained from the model, we can estimate the other two kinetic parameters. IGROV1 cells have a shorter mean cell cycle time, but higher intercell variability than the leukemia line, which takes longer to lose synchrony.

Resonance Effect in Self-renewing Tissues

It was predicted previously that a depletion of cell population depends extremely on the period of periodic phase-specific killing of cells and at periods near the integer multiple on the mean cell-cycle time there is a considerable reduction in treatment-induced decrease of cell-population size (resonance effect). This paper is devoted to theoretical and experimental analysis of the resonance effect in self-renewing tissues. The main biological assumptions underlying the idea of the resonance effect are discussed and then reformulated in terms of a mathematical model. The model describes kinetics of cell populations under periodic treatment by high doses of a phase-specific cytotoxic agent with blocking effect. The dependence of cell survival on cell-cycle parameters and parameters of treatment is studied and the results are presented in a suitable form for experimental testing and practical usage.The obtained results give a theoretical basis for using the resonance effect in a self-renewing tissue control study and estimation of cell-cycle parameters of various cells including morphologically unrecognizable ones. The quantitative comparison of the theoretical predictions with experimental data obtained for mice spleen colony forming units (CFUs), cells of mice small intestine epithelium as well as L1210 leukemic cells is carried out.The excellent agreement between theoretical and experimental results is demonstrated and the estimations of cycle parameters of CFUs, cryptogenic and transit cells of mice intestine epithelium are obtained. Biological consequences of the obtained results are discussed and the new hypothesis relative to self-renewing tissue proliferative control is put forward.

Distribution of cell cycle times amongst the leukemia cells within individual patients with acute myelogenous leukemia

Seventeen patients with AML received infusions of BrdUrd to permit measurement of the cell parameters of leukemia cells in vivo. The range of S-phase times was measured by using a two color BrdUrd/PI analysis to determine the range of BrdUrd incorporation into cells which had been in S-phase throughout the entire duration of BrdUrd administration. These data were, in turn, used to calculate the range of cell cycle times amongst the leukemia cells present within individual patients. The range of cell cycle times amongst the leukemia cells present within individual patients differs between patients, with some leukemia cell populations characterized by narrow and others by broad ranges. In general, the longer the mean cell cycle time (between 27 and 112h) the broader the range of cell cycle times. These differences may help to explain, in part, the differences in response to therapy among patients whose mean leukemia cell kinetic parameters are similar.

An analysis of the growth of the retinal cell population in embryonic chicks yielding proliferative ratios, numbers of proliferative and non‐proliferative cells and cell‐cycle times for successive generations of cell cycles

Growth curves of the retinal cell population of embryonic chicks were fitted by a branching-process model of cell population growth, thereby estimating the proliferative ratios and mean cell-cycle times of the generations of cell cycles that underlie retinal growth. The proliferative ratio determines the proportion of cells that divides in the next generation, so the numbers of proliferative and non-proliferative cells in each generation of cell cycles were obtained. The mean cell-cycle times determine the times over which the generations are extant. Assuming growth starts from one cell in generation 0, the proliferative cells reach 3.6 x 10(6) and the non-proliferative cells reach 1.1 x 10(6) by generation 23. The next four generations increase the proliferative cell numbers to 13.9 x 10(6) and produce 20.1 x 10(6) non-proliferative cells. In the next five generations in the end phase of growth, non-proliferative cells are produced in large numbers at an average of 13.9 x 10(6) cells per generation as the retinal lineages are completed. The retinal cell population reaches a maximum estimated here at 98.2 x 10(6) cells. The mean cell-cycle time estimates range between 6.8 and 10.1 h in generations before the end phase of growth and between 10.6 and 17.2 h in generations in the end phase. The retinal cell population growth is limited by the depletion of the proliferative cell population that the production of non-proliferative cells entails. The proliferative ratios and the cell-cycle-time distribution parameters are the likely determinants of retinal growth rates. The results are discussed in relation to other results of spatial and temporal patterns of the cessation of cell cycling in the embryonic chick retina.

MATHEMATICAL MODELLING OF CANCER TREATMENT WITH PHASE-SPECIFIC CYTOTOXIC AGENTS

The goal of this study is the development of treatment schedules with increased selectivity in killing malignant cells as opposed to normal cells. The optimization is carried out on the basis of the mathematical model. The model describes the dynamics of proliferating cell population under in vivo periodic treatment with high doses of a phase-specific agent. On the basis of the model the effectiveness of various treatment schedules have been studied and optimal ones have been designed. When the mean cell-cycle times of normal and tumors cells differ significantly (as it is true for most natural tumors) the optimal schedules make it possible to increase considerably the selectivity of the treatment and to achieve important therapeutic benefit.

Embryonic development in the pig up to the 64-cell stage, with reference to DNA replication and cell cycle times from the third cleavage division

Preimplantation cleaving-stage embryos were recovered from Dutch Landrace (DL) and F1 Dutch Landrace × Great Yorkshire (DL × GY) gilts for which the time of insemination and ovulation were known. Embryonic cell counts were performed, usually after brief in vitro culture to estimate DNA synthesis. Special attention was given to the 4-cell stage. Beyond this stage, the mean cell cycle time was 14 hours for DL and 17 hours for F1 gilts. Generally, high indices of DNA synthesis were obtained (more than 60% of nuclei). There was prominent within and between gilt variability with regard to embryonic cell numbers. Gilts are especially heterogeneous with respect to the length of the 4-cell stage. The G2 M phase of the 4-cell stage takes approximately 3.5 hours. Especially for F1 gilts, the age of the spermatozoa at the moment of ovulation was not related to the rate of cleavage and/or embryonic death. It is postulated that variability in the length of the 4-cell stage is reflected in genetic activation of the embryos at this stage and subsequently influences embryonic survival.

Needle growth in Sitka spruce (Picea sitchensis): effects of nutrient deficiency and needle position within shoots.

Needle development and shoot growth were studied in 14- and 20-year-old Sitka spruce (Picea sitchensis (Bong.) Carr.) planted on an oligotrophic peat and fertilized with N, P and K (control), N and P (-K), N and K (-P) or unfertilized (-NPK). Shoot extension, needle number, and the size and number of needle cells were observed throughout the season. Beginning with bud burst in early May, needle growth continued for nine weeks in the control treatment. Needle growth in the mineral deficiency treatments terminated at the same time as in the controls, although it did not begin until up to three weeks later than in the control trees. Needles developed acropetally along the shoot, with basal needles completing their development first. Cell division in needles of control trees lasted about 3 weeks, with cell expansion continuing for a further 3 weeks. Initial mean cell cycle times were shortest for proximal needles following bud burst, but lengthened as the season progressed. Cell number increased from 6600 in the primordia to 200 000 in mature needles. Final needle dimensions and cell number varied according to the position of the needle on the shoot. The largest needles with the most cells were near the middle of the shoot. Relative to the controls, all mineral deficiency treatments reduced shoot length, bud and needle dimensions, and needle cell number, particularly the -P treatment. Potassium and P deficiency treatments reduced primordial cell number by up to 42%, whereas final mean cell size was 30% greater in the -P treatment, 17% greater in the -NPK treatment, but 14% smaller in the -K treatment. Mean cell size was constant for needles at all positions in any particular treatment at any time, so that final needle size was determined by cell number alone. Needle dry weight/fresh weight ratio continued to increase until early August, with significantly higher ratios in the -K and -P treatments than in the controls.

Prolongation of G1 phase in cultured glioma cells by cis-dichlorodiammineplatinum (II) (CDDP): analysis using bromodeoxyuridine (BrdU)-Hoechst technique.

The cytokinetic response of three murine (AC) and human (GB-1 and GB-2) glioma cell lines to cisdichlorodiammineplatinum (II) (CDDP) was investigated by flow cytometry. Using the 5-bromodeoxyuridine (BrdU)-Hoechst technique, percentages of cultured glioma cells in the various phases of the cell cycle, and relative phase duration were calculated. This technique proved to be a rapid and easily performed method to characterize phase length and transition rate for the complete cell cycle. In the presence of CDDP IC10 (a concentration in which 10% inhibition of cell growth be induced as compared to controls), perturbations of the cell cycle in AC and GB-1 cells included G2 delay or block, decreased transit velocity from G1 to S phase, and prolongation of G1 phase. The mean cell cycle time increased 1.4 times in AC and 1.6 times in GB-1 as compared to controls. In CDDP IC 50-treated GB-2 cells, the mean cell cycle time was prolonged three times longer than control: however, duration of each phase could not be calculated because of significant perturbation of cell cycle. These results suggest that CDDP influences glioma cells at the G1/S boundary and in the G2 phase, resulting in prolongation of the G1 phase and, to a minor degree, in block of the G2 phase.

Effect of two aliphatic aldehydes, methylglyoxal and 4-hydroxypentenal, on the growth of Yoshida ascites hepatoma AH-130

The influence of a ketoaldehyde, methylglyoxal (MG), and a hydroxyalkenal, 4-hydroxypentenal (HPE), on the growth of a highly-deviated tumour has been investigated. MG and HPE, administered intraperitoneally, strongly depressed in rats the proliferative activity of the Yoshida ascites hepatoma AH-130, reducing its mitotic and labelling indices as well as the proportion of cycling cells (growth fraction). Monitoring the effects on the cell cycle by the labelled mitoses method showed that the percentage of labelled mitoses was markedly lowered after either aldehyde, which is indicative for a blocking effect in the S phase. In addition, the mean cell cycle time was slightly prolonged by MG, probably due to accumulation of cells in G1, whereas HPE delayed the first mitotic peak and increased the mean DNA synthetic period without modifying the overall cycle time. The effects of HPE on the cell cycle were prevented by pretreatment with polyamines. Repeated doses of MG significantly increased the fraction of tumour-bearing rats surviving at 90 days (‘indefinite’ survivors) as well as the survival time of those which succumbed, implying that the carcinostatic effect of MG persisted over several cell cycles. By contrast, HPE did not significantly modify the survival of AH-130-bearing rats, suggesting that its influence on tumour growth was rapidly reversible.

Initial kinetic changes of prostaglandin E2-induced hyperplasia of the rat small intestinal epithelium occur in the villous compartments

This study was performed to further identify the sequence of cell kinetics that occurs in the development of gastric and intestinal epithelial hyperplasia after orally administered prostaglandins of the E series. A high-dose, short-treatment schedule was used to examine the initial effects on kinetic parameters in the rat small intestinal epithelium. Groups of rats were killed after a single dose of oral prostaglandin E2 at 1 h after in vivo labeling with [methyl-3H]thymidine and during continued treatment at 6, 12, 24, 48, 72, and 96 h. As evidenced by autoradiography, the earliest change produced by prostaglandin E2 was an increased cellularity of the villous compartment (p < 0.05 after 24 h). There was no change of labeling index of the villous compartment or of the leading edge of labeled cells within 24 h. At 48 h, the increased cellularity was accompanied by a significantly elevated labeling index of the villi. Throughout the study period no significant differences were observed between groups in the number of cells or labeling indices in the jejunal crypts, of in cellular input from the crypts to the villi. Epithelial turnover time in the placebo and treatment groups was 69 and 71 h, respectively. To exclude the possibility that prostaglandin E2 initially affects cell birth rate and mean cell cycle time, a metaphase blocker was given after 4 days of treatment in a second study. Animals were killed after 0, 0.5, 1.0, 1.5, and 2.5 h. The rate of entry into mitoses was 8.1% cells/h in controls compared with 8.2% cells/h in treated rats. The distribution of mitoses within crypts was identical in the two groups and the mean cell cycle time was 13.6 and 13.2 h, respectively. Also, in this study there were trophic changes of the villi. It is concluded that the hyperplasia produced by oral prostaglandin E2 starts in the villi of the small intestine and is initiated by reduced cell exfoliation from the villous tips. Previously recorded retention of cellular elements in villi and crypts, increased cellularity of the proliferative compartments, and reduced mitotic index are secondary events.

A kinetic method to determine the cell cycle times of chick skin fibroblast subpopulations.

We have inferred, from computer simulations of clonal growth data, mean cell cycle time (Tc) for putative subpopulations of fibroblastic cells having unique replicative potentials. The growth kinetics of chick embryo fibroblast clones can be accounted for if it is assumed that: (1) there is a transient, and rather substantial, decline in mean Tc (from 34 to 12 hr) immediately following the commitment of a 'stem' cell daughter to a limited replicative lifespan; (2) the mean Tc increases progressively (from 12 to 48 hr) as 'committed' cells exhaust their remaining replicative potential; and (3) the daughters of committed cells may occasionally become abruptly post-mitotic.

Persisting long-term effects of a single carcinogenic dose of methylnitrosourea on epidermal growth in mice.

The cell proliferation in hairless mouse epidermis was studied before tumor development following a single application of a carcinogenic dose (2 mg) of N-methyl-N-nitrosourea (MNU). The number of basal and suprabasal cells, the mitotic index (MI) and the mitotic rate (MR) were scored in histological sections. The [3H]thymidine labeling index (LI) and the mean grain count (MGC) were scored in histological sections or in smears of basal cells. Flow cytometric two-parameter analyses of cellular DNA and protein content were performed on isolated epidermal basal cells. An increased MR and a slight but consistent epidermal hyperplasia were found. A 24-h study performed 25 weeks after MNU application showed that the MR and MI were altered in a circadian stage-dependent manner with considerably increased values around noon when the circadian rhythms had their peaks, followed by normal values around midnight. The LI was generally increased, but showed a normal circadian rhythm with high values at night and low values during day. The MGC was reduced at night and in the morning when the LI values were high. The results show that a single carcinogenic dose of MNU caused alterations in the epidermal growth kinetics that persisted until tumor development. The altered growth parameters, however, had circadian rhythms that were in phase with control rhythms. Assuming a constant size of the proliferative compartment, the increased mitotic activity indicated a considerable shortening of the mean cell cycle time.

Cell Cycle Progression Kinetics of Regenerating Mouse Epidermal Cells: An In Vivo Study Combining DNA Flow Cytometry, Cell Sorting, and [3H]dThd Autoradiography

Cantharidin application to mouse skin induces cell injury followed by a regenerative wave of cells entering S phase in partial synchrony about 16 h after application. After pulse labeling with [3H]dThd the synchronized cohort of cells was traced through subsequent cell cycles during regeneration. This was accomplished by DNA flow cytometry of isolated basal cells combined with sorting from G1, S, and G2 phases followed by autoradiography at intervals after pulse labeling. Successive peaks of labeled cells in S phase at about 12-h intervals, followed by subsequent peaks in G2 and G1 phases were seen. This shows that the peaks of S-phase cells seen at 16 and 28 h after cantharidin application represent mother and daughter cells, respectively, the latter still cycling in partial synchrony. These 2 peaks of S-phase cells, therefore, are not keratinocyte subpopulations with different time lags between the stimulus to regeneration and the subsequent response. It is further shown that the mean cell cycle time is reduced from about 55 h in normal epidermis to 12 h during early regeneration. This is mainly due to a considerably reduced G1 phase duration, but the S and G2 phase durations are also reduced, although still within the range of circadian variations seen in normal animals. It is reasonable to assume a causal relationship between the considerably reduced G1 duration and loss of growth restriction. Cells with a slow progression rate through G2 phase (70% of all G2 cells) in normal mouse epidermis seem to maintain a slow progression rate during regeneration. Normal growth homeostasis seems to be gradually reestablished during the second day of regeneration.