A cell survival model with saturable repair after irradiation

Summary A cell survival model with saturable repair has been developed. The model is based on the assumption that after irradiation the cell can be in one of the following three states: In state A the viable cells have no lesions, in state C cells carry lethal lesions and in state B cells exhibit potentially lethal lesions which can be repaired by a saturable enzymatic repair system or which are converted to lethal lesions. The model incorporates five parameters. The applicability of the model has been demonstrated by fitting 11 experimental data sets obtained with different cell lines, different kinds of radiation and variable repair times simulated by liquid holding recovery or inhibition of repair processes by different agents. The model and the results obtained are discussed in relation to published results.Dedicated to Prof. K.G. Zimmer on his 75th birthday     

Lethal and potentially lethal lesions induced by radiation--a unified repair model

A model of radiation action is described which unifies several of the major existing concepts which have been applied to cell killing. Called the lethal and potentially lethal (LPL) model, it combines the ideas of lesion interaction, irreparable lesions caused by single tracks, linear lesion fixation, lesion repair via first-order kinetics, and binary misrepair. Two different kinds of lesions are hypothesized: irreparable (lethal) and repairable (potentially lethal) lesions. They are tentatively being identified with DNA double-strand breaks of different severity. Two processes compete for depletion of the potentially lethal lesions: correct repair following first-order kinetics, and misrepair following second-order kinetics. Fixation of these lesions can also occur. The model applies presently only to plateau (stationary)-phase cells. Radiobiological phenomena described include effects of low dose rate, high LET, and repair kinetics as measured with repair inhibitors such as hypertonic solution and beta-arabinofuranosyladenine (beta-araA). One consequence of the model is that repair of sublethal damage and the slow component of the repair of potentially lethal damage are two manifestations of the same repair process. Hypertonic treatment fixes a completely new class of lesions which normally repair correctly. Another consequence of the model is that the initial slope of the survival curve depends on the amount of time available for repair after irradiation. The "dose-rate factor" occurring in several linear-quadratic formulations is shown to emerge when appropriate low-dose and long-repair-time approximations are made.     

Potentially lethal damage repair is due to the difference of DNA double-strand break repair under immediate and delayed plating conditions

Cells plated immediately after irradiation on nutrient agar (immediate plating) exhibit a lower survival than cells which are kept under nongrowth conditions before plating (delayed plating). The difference between the survival curves obtained after immediate plating and delayed plating is considered to exhibit the cell's capacity to repair potentially lethal damage. In yeast evidence has been presented previously for the DNA double-strand break (DSB) as the molecular lesion involved in the repair of potentially lethal damage observed at the cellular level. Radiation-induced DSB are repaired in cells plated on nutrient agar, i.e., under growth conditions, as well as in cells kept under nongrowth conditions. In this paper DSB repair under growth and nongrowth conditions is studied with the help of the yeast mutant rad54-3 which is temperature conditional for DSB repair. It is shown that the extent of repair of potentially lethal damage can be varied by shifting the relative fractions of repair of DSB under growth conditions versus nongrowth conditions. Repair of DSB in cells plated on nutrient agar is promoted when glucose is substituted by Na-succinate as an energy source. As a result the immediate plating survival curve approaches the delayed plating survival curve, thus reducing the operationally defined repair of potentially lethal damage. We show that this reduced potentially lethal damage repair is caused, however, by a higher amount of DSB repair in cells immediately plated on succinate agar as compared to glucose agar.     

Radiobiological data for clinical dosimetry in pion tumour therapy

Summary Ehrlich ascites tumour cells were irradiated with negative pions at different positions in the plateau and the peak of the depth absorbed dose curve. Dose-survival curves for immediate testing of the viability of the cells are given and are compared with other types of radiations in use for therapy. From the data obtained after repair of potentially lethal damage effective survival curves for fractionated irradiation are evaluated.     

Recovery from potentially lethal damage and recruitment time of noncycling clonogenic cells in 9L confluent monolayers and spheroids

Cells that have been grown as multicell tumor spheroids exhibit radioresistance compared to the same cells grown in monolayers. Comparison of potentially lethal damage (PLD) repair and its kinetics was made between 9L cells grown as spheroids and confluent monolayers. Survival curves of cells plated immediately after irradiation showed the typical radioresistance associated with spheroid culture compared to plateau-phase monolayers. The dose-modification factor for spheroid cell survival is 1.44. Postirradiation incubations in normal phosphate-buffered saline (PBS), conditioned media, or 0.5 M NaCl in PBS reduced the differences in radiosensitivity between the two culture conditions. Postirradiation treatment in PBS or conditioned medium promoted repair of potentially lethal damage, and 0.5 M NaCl prevented the removal of PLD and allowed the fixation of damage resulting in lower survival. Survival of spheroid and monolayer cells after hypertonic NaCl treatment was identical. NaCl treatment reduced Do more than it did the shoulder (Dq) of the survival curve. PLD repair kinetics measured after postirradiation incubation in PBS followed by hypertonic NaCl treatment was the same for spheroids and for plateau-phase monolayers. The kinetics of PLD repair indicates a biphasic phenomenon. There is an initial fast component with a repair half-time of 7.9 min and a slow component with a repair half-time of 56.6 min. Most of the damage (59%) is repaired slowly. Since the repair capacity and kinetics are the same for spheroids and monolayers, the radioresistance of spheroids cannot be explained on this basis. Evidence indicates that the time to return from a Go (noncycling G1 cells) state to a proliferative state (recruitment) for cells from confluent monolayers and from spheroids after dissociation by protease treatment may be the most important determinant of the degree of PLD repair that occurs. Growth curves and flow cytometry cell cycle analysis indicate that spheroid cells have a lag period for reentry into a proliferative state. Since plating efficiency remains high and unchanging during this period, one cannot account for the delay on the basis of the existence of a large fraction of Go cells which are not potentially clonogenic. The cell cycle progression begins in 6-8 h for monolayer cells and in 14-15 h for spheroids. It is hypothesized that the slower reentry of spheroid cells into a cycling phase allows more time for repair than for the rapidly proliferating monolayer cells.     

Recovery after exposure to near-ultraviolet light of cells containing 5-bromodeoxyuridine.

The survival of synchronized V79 Chinese hamster cells irradiated with near-ultraviolet light after a 1-h labeling with 5-bromodeoxyuridine (BrdUrd) is highly dependent upon the cell's position in the cell cycle at the time of irradiation (Hagan, M., and M. M. Elkind. Biophys. J. 1979. 27:75-86). In this report, we show that cells irradiated in the same S phase after BrdUrd incorporation demonstrate an ability to repair sublethal damage, in contrast to the lack of an increase in survival with dose fractionation in template-labeled cells (Ben-Hur, E., and M. M. Elkind. Mutat. Res. 1972. 14:236-245). In addition, we show that pulse-labeled cells in S phase can repair potentially lethal damage expressed by caffeine. The kinetics of these recovery processes and the absence of a caffeine effect on the repair of sublethal damage indicate that these two processes are to a large degree unrelated. We conclude that in template-labeled cells inadequate time to effect prereplicational repair precludes effective contributions to cell survival from other kinds of DNa repair processes.     

The influence of conditions affecting repair and fixation of potentially lethal damage on the induction of 6-thioguanine resistance after exposure of mammalian cells to X-rays

We have studied the influence of postirradiation conditions resulting in repair or fixation of X-ray-induced potentially lethal damage (PLD) on the induction of 6-thioguanine-resistant mutants in plateau phase Ehrlich ascites tumour cells. For repair of PLD cells were incubated under plateau-phase conditions for 6–8 hours after irradiation. For fixation of PLD we used either a 4-h treatment with 120 μM β-araA or a 50-min treatment in hypertonic medium (2.5 times the normal tonicity). These treatment are known to effectively reduce or eliminate the shoulder of the X-ray survival care. The mutants were allowed to form colonies in agar medium containing 1.5 μg/ml 6-thioguanine, after expression times of 6–12 days.We observed a decrease in the number of mutants induced (per 10⁵ cells) when the cells were allowed to repair PLD, as compared with that of cells processed immediately after irradiation, and an increase in their number after treatment either with β-araA or in hypertonic medium. The curves obtained for the induction of mutants as a function of the radiation dose were usually upward bending.After irradiation at low dose rate we obtained an exponential survival curve and a linear induction of mutants as a function of the dose.Based on these results we suggest that potentially lethal lesions resulting in the formation of the shoulder of the survival curve are not identical with those lesions responsible for the induction of mutants.     

Two forms of potentially lethal damage have similar repair kinetics in plateau- and in log-phase cells

The effect on the survival of X-irradiated Chinese hamster cells (line V79) of two different post-treatments is examined in plateau- and in log-phases of growth. Qualitatively similar results are obtained with cells in both growth phases; that is, similar reductions in survival are effected by post-treatments with hypertonic phosphate buffered saline, and similar increases in survival are effected by post-treatments with conditioned medium. In addition, in both kinds of cells the kinetics of the repair processes are similar even though the kinetics of the two processes differ from each other considerably. While the results indicate that there can be essential differences in the type and/or the pathways of repair of potentially lethal damage, they also illustrate a broader meaning of this term than has been customary. Considered relative to the amount of DNA damage that can be expected to be potentially lethal, it is concluded that the two types of damage that are the subjects of this study represent only small sectors of the total amount of potentially lethal damage.     

Radiation damage repair capacity of a human germ-cell tumour cell line: inhibition by 3-aminobenzamide

The capacity of a human germ-cell tumour line to repair radiation damage has been investigated by means of a clonogenic assay. Dose-rate dependence studies, split-dose experiments and experiments designed to measure repair of potentially lethal damage have been performed. The cells showed some ability to repair radiation-induced damage in all three types of experiment. An attempt has been made to understand the possible cellular mechanisms of these repair processes by the use of 3-aminobenzamide (3-AB), an agent thought to act by inhibition of ADP-ribosylation. 3-AB added 2 h prior to and removed 18 h after irradiation at a non-toxic dose to unirradiated cells caused a small but consistent increase in cell kill with acute (150 cGy min-1) irradiation, largely involving a reduction in the shoulder region of the survival curve, but had a greater effect in increasing cell kill at a dose rate of 7.6 cGy min-1 and an even greater effect at a dose rate of 1.6 cGy min-1. When 3-Ab was present 2 h prior to the first dose and between two equal doses in a split-dose experiment, inhibition of split-dose recovery was observed. In addition, some inhibition of potentially lethal damage recovery was observed with 3-AB. A possible role for poly(ADP-ribosylation) is thus implicated in the repair of radiation-induced damage of this human tumour cell line during continuous low dose rate or fractionated radiation schedules, although other effects of 3-AB on respiratory metabolism and/or purine synthesis cannot be eliminated as the cause of the observed inhibitory effects.     

Correlation between PLD repair capacity and the survival curve of human fibroblasts in exponential growth phase: analysis in terms of several parameters

Published data on the in vitro radiosensitivity of 46 nontransformed fibroblasts of different genetic origins studied in plateau phase with immediate or delayed plating were used to investigate to what extent potentially lethal damage repair capacity is related to intrinsic radiosensitivity (i.e., irradiated in exponential growth phase). While most of the survival curve analysis is conducted in terms of D0, Dq, and the mean inactivation dose D, some of the data are also discussed in terms of the linear-quadratic model parameter alpha. Using D it is shown that: (i) the radiosensitivity of human fibroblasts in exponential growth phase does not significantly differ from that of plateau-phase fibroblasts with immediate plating; (ii) the radiosensitivity of plateau-phase cells with delayed plating is correlated to the radiosensitivity of cells with immediate plating: the more radioresistant the cell strain in exponential growth phase, the higher its repair capacity; (iii) the repair capacity of the cell strains is related to their genetic origin. In conclusion, we suggest that the survival curve of growing cells depends on the repair capacity of the cells.     

Interaction between radiation and drug damage in mammalian cells. III. The effect of adriamycin and actinomycin-D on the repair of potentially lethal radiation damage.

We have studied the effects of actinomycin-D (AMD) and Adriamycin (ADRM) on the repair of radiation damage in Chinese hamster cells (V79) in plateau phase growth. Suppression of potentially lethal damage repair (PLDR) was observed in the presence of non-toxic levels of AMD and minimally toxic levels of ADRM. The suppression of PLDR by AMD persisted as long as the drug was present. Removal of AMD was followed by prompt repair of potentially lethal injury suggesting that suppression of PLDR by AMD was not accompanied by fixation of injury to a non-repairable state. On the other hand, irradiated cells exposed to ADRM eventually repair potentially lethal injury in the presence of drug after an initial delay. AMD, but not ADRM, inhibited repair of sublethal radiation damage.     

Radiosensitization of GL261 glioma cells by tetraiodothyroacetic acid (tetrac)

We studied effects of tetrac (tetraiodothyroacetic acid) on survival of GL261, a murine brain tumor cell line, following single doses of 250 kVp x-rays and on repair of damage (sublethal and potentially lethal damage repair; SLDR, PLDR) in both exponential and plateau phase cells. Cells were exposed to 2 μM tetrac (1 h at 37oC) prior to x-irradiation. At varying times after irradiation, cells were re-plated in medium without tetrac. Two weeks later, colonies were counted and results analyzed using either the linear-quadratic (LQ) or single-hit, multitarget (SHMT) formalisms. Tetrac sensitized both exponential and plateau phase cells to x-irradiation, as shown by a decrease in the quasi-threshold dose (Dq), leading to an average tetrac enhancement factor (ratio of SF2 values) of 2.5. Tetrac reduced SLDR in exponential cells by a factor of 1.8. In plateau phase cells there was little expression of SLDR, but tetrac produced additional cell killing at 1-4 h after the first dose. For PLDR expression in exponential cells, tetrac inhibited PLDR by a factor of 1.9, and in plateau phase cells, tetrac decreased PLDR expression by a factor of 3.4. These data show that the decreased Dq value seen after single doses of x-rays with tetrac treatment is also accompanied by a significant decrease in recovery from sublethal and potentially lethal damage.     

Differential repair of potentially lethal damage in exponentially growing and quiescent 9L cells

The alteration of potentially lethal damage repair by postirradiation treatment with hypertonic saline (0.5 M PBS) was investigated in exponentially growing and quiescent 9L cells in vitro. A single dose of X rays (8.5 Gy) immediately followed by a 30-min treatment with hypertonic PBS at 37 degrees C reduced the survival of exponentially growing 9L cells by a factor of 13-18 compared to survival of irradiated immediately and delayed-plated cells, while the survival of quiescent cells was reduced by only a factor of 5-8. Survival curves confirmed the relative resistance of the quiescent 9L cells versus exponentially growing 9L cells to X rays plus hypertonic treatment. Both the slope and the shoulder of the survival curve were reduced to a greater extent in exponentially growing cells than in the quiescent cells by hypertonic treatment. The response of quiescent cells cannot be explained by either the duration of hypertonic treatment or the redistribution of the cells into G1 phase. We show that quiescent 9L cells can recover from hypertonically induced potentially lethal damage when incubated under conditions which have been found to delay progression through the cell cycle, and postulate that an altered chromatin structure or an enhanced repair capacity of quiescent 9L cells may be responsible for their resistance.     

Fixation and repair of radiation-induced potentially mutagenic damage sensitive to hypertonic treatment in human diploid fibroblasts

The effect of hypertonic salt treatment on the repair of potentially lethal damage and potentially mutagenic damage in X-irradiated asynchronous and synchronous human diploid fibroblasts (IMR91) have been studied. Resistance to 6-thioguanine was used for the mutagenic end point. When cells in late-S-phase were treated with hypertonic salt solution immediately after X-irradiation, both cell killing and mutation induction were enhanced, as compared to X-irradiation alone. This suggests that X-irradiation of cells in late S phase induces both potentially lethal damage and potentially mutagenic damage and that both are sensitive to hypertonic salt solution. When cells were allowed 2 h for repair after exposure to X-rays, both types of damage were completely repaired. Almost the same results were obtained with asynchronous cells. These results are discussed in terms of the relationship between radiation damage leading to cell lethality and mutagenesis.     

Split-dose recovery is due to the repair of DNA double-strand breaks

DNA double-strand breaks are the molecular lesions the repair of which leads to the reappearance of the shoulder observed in split-dose experiments. This conclusion is based on results obtained with the help of a diploid yeast mutant rad 54-3 which is temperature-conditional for the repair of DNA double-strand breaks. Two repair steps must be met to yield the reappearance of the shoulder on a split-dose survival curve: the repair of double-strand breaks during the interval between two doses and on the nutrient agar plate after the second dose. In yeast lethality may be attributable to either an unrepaired double-strand break (i.e. a double-strand break is a potentially lethal lesion) or to the interaction of two double-strand breaks (misrepair of double-strand breaks). Evidence is presented that the two cellular phenomena of liquid holding recovery (repair of potentially lethal damage) and of split-dose recovery (repair of sublethal damage) are based on the repair of the same molecular lesion, the DNA double-strand break.     

Two-lesion kinetic model of double-strand break rejoining and cell killing

Radiobiological models, such as the lethal and potentially lethal (LPL) model and the repair-misrepair (RMR) model, have been reasonably successful at explaining the cell killing effects of radiation. However, the models have been less successful at relating cell killing to the formation, repair and misrepair of double-strand breaks (DSBs), which are widely accepted as the main type of DNA damage responsible for radiation-induced cell killing. A fully satisfactory model should be capable of predicting cell killing for a wide range of exposure conditions using a single set of model parameters. Moreover, these same parameters should give realistic estimates for the initial DSB yield, the DSB rejoining rate, and the residual number of unrepaired DSBs after all repair is complete. To better link biochemical processing of the DSB to cell killing, a two-lesion kinetic (TLK) model is proposed. In the TLK model, the family of all possible DSBs is subdivided into simple and complex DSBs, and each kind of DSB may have its own repair characteristics. A unique aspect of the TLK model is that break ends associated with both kinds of DSBs are allowed to interact in pairwise fashion to form irreversible lethal and nonlethal damages. To test the performance of the TLK model, nonlinear optimization methods are used to calibrate the model based on data for the survival of CHO cells for an extensive set of single-dose and split-dose exposure conditions. Then some of the postulated mechanisms of action are tested by comparing measured and predicted estimates of the initial DSB yield and the rate of DSB rejoining. The predictions of the TLK model for CHO cell survival and the initial DSB yield and rejoining rate are all shown to be in good agreement with the measured data. Studies suggest a yield of about 25 DSBs Gy(-1) cell(-1). About 20 DSBs Gy(-1) cell(-1) are rejoined quickly (15-min repair half-time), and 4 to 6 DSBs Gy(-1) cell(-1) are rejoined very slowly (10- to 15-h repair half-time). Both the slowly and fast-rejoining DSBs make substantial contributions to the killing of CHO cells by radiation. Although the TLK model provides a much more satisfactory formalism to relate biochemical processing of DSBs to cell killing than did the earlier kinetic models, some small differences among the measured and predicted CHO cell survival and DSB rejoining data suggest that additional factors and processes not considered in the present work may affect biochemical processing of DSBs and hence cell killing.     

Evidence for reduced capacity for damage accumulation and repair in plateau-phase C3H 10T1/2 cells following multiple-dose irradiation with gamma rays

The effects of multiple-dose gamma irradiation on the shape of survival curves were studied with mouse C3H 10T1/2 cells maintained in contact-inhibited plateau phase. The dose-fractionation intervals included 3, 6, and 24 h. Following three fractionated doses (5 Gy per dose) of exposures, cells responded to further irradiation by displaying a survival curve with a much reduced shoulder width (Dq) compared to that of the survival curve measured in cells irradiated with single-graded doses alone. The effect on the mean lethal dose (D0) was small and appeared to be significant. The effect on reduction of Dq could not be completely overcome by lengthening the fractionation intervals from 3 to 6 h or 24 h, times in which repair of sublethal damage (SLD) measured by simple split-dose scheme and potentially lethal damage (PLD) measured by postirradiation incubation was completed. Other experiments showed that pretreatments of cells with fractionated irradiation appeared to slow down the cellular repair processes of SLD and PLD. Therefore, the observed change in the shape of survival curves after fractionation treatments may be attributed to a reduction of the cells' capacity for damage accumulation by an enhancement of the lethal expression of SLD and PLD. Although the molecular mechanism(s) is not known, the results of this study indicate that the acute graded dose-survival curve cannot be used a priori to extrapolate and reliably predict results of hyperfractionation. It is probable that for a nondividing or slowly dividing cell population, such an extrapolation may lead to an underestimation of cell killing. Furthermore, the findings of this investigation appear to support an interpretation, alternative to the high-linear energy transfer (LET) track-end postulate, for the effects on cell survival seen at low doses or low dose rates.     

Cell-cycle-dependent repair of potentially lethal damage in the XR-1 gamma-ray-sensitive Chinese hamster ovary cell

Repair of potentially lethal damage (PLD) was investigated in a gamma-ray-sensitive Chinese hamster cell mutant, XR-1, and its parent by comparing survival of plateau-phase cells plated immediately after irradiation with cells plated after a delay. Previous work indicated that XR-1 cells are deficient in repair of double-strand DNA breaks and are gamma-ray sensitive in G1 but have near normal sensitivity and repair capacity in late S phase. At irradiation doses from 0 to 1.0 Gy (100 to 10% survival), the delayed- and immediate-plating survival curves of XR-1 cells were identical; however, at doses greater than 1.0 Gy a significant increase in survival was observed when plating was delayed (PLD repair), approaching a 20-fold increase at 8 Gy. Elimination of S-phase cells by [3H]thymidine suicide dramatically increased gamma-ray sensitivity of plateau-phase XR-1 mutant cells and reduced by 600-fold the number of cells capable of PLD repair after a 6-Gy dose. In contrast, elimination of S-phase cells in plateau-phase parental cells did not alter PLD repair. These results suggest that the majority of PLD repair observed in plateau-phase XR-1 cells occurs in S-phase cells while G1 cells perform little PLD repair. In contrast, G1 cells account for the majority of PLD repair in plateau-phase parental cells. Thus, in the XR-1 mutant, a cell's ability to repair PLD seems to depend upon the stage of the cell cycle at which the irradiation is delivered. A possible explanation for these findings is discussed.     

Multiple components of split-dose repair in plateau-phase mammalian cells: a new challenge for phenomenological modelers

Split-dose experiments using starved plateau-phase Chinese hamster ovary cells have been used to investigate the kinetics of repair, expressed in terms of enhancement of reproductive survival. The results show two distinct components of repair, one having a characteristic time of just over 1 h for the removal of a lesion, the other, about 18 h. The rate at which each component removes damage and the fraction of the total damage that each removes appear to be independent of the initial amount of damage produced, i.e., dose. This lack of dose dependence is not consistent with some simple models of ionizing radiation damage and repair, such as those which assume that saturation of a repair process, depletion of enzyme pools, or the interaction of pairs of sublesions is responsible for the curvature in the dose-response relationship. However, the relationship between the amounts of each type of damage and dose appears to be consistent with models that assume that only a portion of the initial damage is directly accessible to the repair systems or that the initial damage consists of a mixture of potentially lethal and sublethal lesions.