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The perturbed cellular kinetics of the duodenal crypt following a single injection of hydroxyurea (HU) have been simulated using matrix algebra. Following the direct effects of HU (S-phase cytotoxicity and a G1/S block) the crypt cell kinetics undergo several alterations. Previously documented alterations include: (1) a temporary partial synchronization of the surviving cells, (2) a shortening of the cell-cycle transit time, and (3) recruitment of normally non-proliferating cells into active proliferation. These conclusions have been extended by constructing several different complex but theoretically possible recovery models and the validity of each of these models has been evaluated by simulating the following biological data: the number of cells in the S and M-phase of the cell cycle, total viable cells per crypt, and the per cent labeled mitosis and the number of labeled cells following 3H-TdR injections at 9 and 21 hr after HU treatment. The model which showed visually the best overall agreement with all sets of the data was chosen as "most probable' and leads to the following interpretations. Immediately after the end of the HU block (i.e. 5 hr after HU injection) the modal cell-cycle transit time is reduced to 8 hr. By 17 hr after HU, the modal transit time is increased to 10 hr. Repopulation of the proliferating compartment, i.e. restoration of the proliferating compartment back to the control value, occurs between 12 and 17 hr after HU injection and probably consists of both recycling of the proliferating cells (i.e. they do not progress up into the non-proliferating compartment) and recruitment of the non-proliferating cells into active proliferation. Also, the rate at which the non-proliferating cells move onto the villi is reduced temporarily. The overall recovery process results in a crypt which temporarily is larger than control and produces villi cells at a rate which is faster than the control. The time when the crypt size and villus cell production rate return to normal cannot be established using the available data.

Steady state crypt cell kinetics have been simulated using matrix algebra. The model crypt cell population is distributed through two proliferation compartments (P1 and P2) and a quiescent state (Q). Under steady state conditions half the daughter cells produced on completion of P1 enter G1 of P2 and half enter G1 of P1. Both P2 daughter cells enter Q. Cells in Q are non-dividing but retain the potential to divide. On completion of Q, cells lose the potential to divide and move up onto the villi. The model has been developed by simultaneously simulating the following biological data: (1) the per cent labeled mitosis (PML) curve, (2) the number of labeled cells per crypt as a function of time following an injection of 3H-thymidine, and (3) the total number of cells per crypt.

The development of a pure quiescent (Q) tumour cell population can be induced in three mouse mammary tumour lines (66, 67 and 68H) by nutrient deprivation. When these Q cells were removed from nutrient-deprived cultures and replated in fresh medium at a lower cell concentration within 72 hr of entering quiescence virtually all of the Q cells could re-enter the proliferating (P) state. This recruitment was characterized by an increase in cell volume, an increase in total cellular RNA, and a resumption of cell division. The length of the Q to P transition varied among the three cell lines and the depth of the quiescent state depended on the amount of time the cells had been quiescent. Once re-entry into the P compartment was completed, cell-cycle times, as estimated by the culture doubling time, were the same as the cells that had not entered the Q state, however, after 72 hr in quiescence, not all of the 66 cells could reattach after trypsinization and of those that could reattach approximately equal to 50% were incapable of either increasing their RNA levels to that of proliferating G1 cells or entering S. Clonogenicity of the nutrient-deprived Q cells in these lines decreases exponentially from time the cells enter quiescence with approximate half-times of 32, 34, and 96 hr for the 66, 68H and 67 cells, respectively. Since clonogenicity was already declining at a time when all the Q cells could re-enter the P compartment, the ability of a Q cell to form a colony is not determined solely by its capacity to re-enter the proliferating compartment.

Three mouse mammary tumour lines (66, 67, and 68H) derived from a single mouse mammary tumour were investigated for their growth kinetics and development of quiescent cells in unfed monolayer cultures. All three lines develop pure quiescent populations when grown in unfed plateau cultures. A dramatic cell-cycle redistribution accompanied the proliferating (P) to quiescent (Q) transition, with the percentage of cells having a G1 DNA content increasing from 50% in the P state to greater than 97% in the Q state. As the cultures progressed from exponential to plateau growth, a decrease of greater than or equal to 50% in cellular RNA was observed in all three lines. This property enables the clear identification of P v. Q cells by flow cytometry using the two-step acridine orange assay. Autoradiographic data verified that these plateau cells were quiescent since less than 2.5% of the cells incorporated [3H]TdR when labelled for approximately two doubling times. Further comparison of the P and Q cells showed that: (a) the Coulter volume of Q cells was approximately half that of P cells in all three lines; (b) viability, as measured by dye exclusion was greater than 95% in all cultures regardless of their proliferative state; and (c) colony-forming ability decreased as the cells entered the quiescent state. In each of these cell lines the development of Q-cell populations was marked by similar changes in all measured parameters. These quiescent tumour cells provide a relatively simple model to evaluate what, if any, important differences exist between the response of P v. Q cells to various therapeutic agents.

Filter elution was used to compare X-ray-induced DNA single- and double-strand breaks in proliferating (P) and quiescent (Q) cells of the 66 and 67 mouse mammary tumor lines. There was no difference either between cell type or between growth states in the amount of single-strand breaks as defined by elution at pH 12.2. In contrast, Q cells appeared to sustain a much larger amount of double-strand break damage per Gray than P cells, when the damage was measured by elution at either pH 7.2 or pH 9.6. Experiments which combined centrifugal elutriation with pH 7.2 elution demonstrated that G1-P cells were similar to Q (greater than or equal to 95% G1) cells in the induction of elution-detectable double-strand breaks, while the S-phase enriched fractions sustained less damage than G1-P, Q, or asynchronous P populations. Studies in which P populations were pulse labeled with [14C]thymidine confirmed this finding. Mathematical analysis of the elution kinetics of irradiated P, Q, and S-phase cells supports a model in which the complex elution profiles observed for P cells could be explained as the sum of the one-component exponential elution profiles of G1- and S-phase subpopulations. Also, the correlation between damage measured by pH 7.2 elution and cell survival was tested by examining the dose response for stimulated 66 cells (St4), which like Q cells are greater than or equal to 95% in G1 but are more resistant to X-ray-induced cytotoxicity than are the 66 Q cells. However, the induction of double-strand breaks in St4 cells was identical to that in Q cells. Thus we conclude that there is not necessarily a correlation between the amount of elution-detectable X-ray-induced double-strand breaks and cell survival.