Introduction

Many types of tumour overexpress cell surface-associated antigens or receptors suitable as targets for radionuclide therapy, and many types of targeting agent have been suggested or are already being applied for such therapy. This therapy is currently employed for lymphomas [1, 2] using radiolabelled antibodies and also for neuroendocrine [35] and paediatric tumours [6, 7] using radiolabelled somatostatin analogues and meta-iodobenzylguanidine (mIBG), respectively. In the majority of these cases, beta emitters such as 90Y, 131I and 177Lu have been applied. The results have, so far, essentially shown palliative effects [1, 812], and there is hope that combinations of beta particle emitters, e.g. 90Y and 177Lu, will improve the therapy results [13].

The cell-killing capacity of low LET radiation, i.e. photons and electrons, is well known when applying high dose rates, typically 0.5–2.0 Gy/min, as in external radiotherapy [14, 15]. However, the extensive experimental and clinical knowledge on the effects of external radiotherapy can be deployed to only a limited extent in understanding the effects of radionuclide therapy. A major difference is that the dose rate in radionuclide therapy is at least two orders of magnitude lower than in external radiotherapy [10, 1619]. The lower dose rate allows for DNA repair and repopulation during the radiation exposure, which is not the case during high dose rate exposures. Basic radiobiological studies have shown that low dose rates, in the range of 0.1–1.0 Gy/h, give a much lower biological effect (per dose unit) than high dose rates in the range 0.5–2.0 Gy/min [15, 17, 20, 21]. It is also known that an inverse dose rate effect exists in that dose rates of 0.2–0.4 Gy/h can give more cell kill than dose rates in the range 0.7–1.0 Gy/h [15, 22].

Only crude estimates can be made from previous experiments to elucidate which combinations of low dose rate and exposure time can cure a metastasis containing, for example, 105 cells. Cell survival has most often been analysed after a cell cloning 1–2 weeks after the radiation exposure. For example, a total dose of about 30–50 Gy, given with 0.1–1.0 Gy/h, seems necessary to decrease the single cell survival probability to 10−5 [23, 24], and thereby give a reasonable chance of killing 105 tumour cells. Furthermore, targeted radionuclide therapy is complicated, since it is not enough only to consider the macroscopic dose concept; different cellular and intracellular distributions of radionuclides can give different biological effects although the macroscopic dose is the same [25, 26].

One way to obtain solid information on which combinations of low dose rate and exposure time can give curative treatments with beta particles (which also is low-LET radiation) is, of course, through experiments and clinical trials. In this study we used an experimental model with the criterion that the low dose rate beta radiation must kill all 105 tumour cells in a culture dish in order to simulate a successful treatment. The follow-up period was 3 months.

The choice of 105 tumour cells is somewhat arbitrary and is based on two arguments. The first is that this number represents a small tumour cell cluster that normally cannot be identified by routine diagnostic procedures such as computed tomography or magnetic resonance imaging (unless the tumour cells cause macroscopic changes in the surrounding normal tissues). Furthermore, this number of tumour cells in most cases does not cause symptoms in the patient. Thus, a cluster of 105 tumour cells in a patient can be considered an “occult” or “subclinical” tumour or metastasis. The second argument is more practical, since the presence of 105 tumour cells in a normal cell culture dish or flask allows enough space for exponential growth and, at the same time, frequent cell–cell contacts.

Our ambition was not to simulate the dose rate variations in time and space that occur in radionuclide therapy. In the clinical setting, the dose rate varies with time, not only as a consequence of the physical half-life of the radionuclides, but also due to time-dependent changes in their spatial distribution [16, 17, 24, 26, 27]. Factors of importance are ongoing vascularisation processes, variations in vessel wall leakage and changes in blood flow. There are probably also various diffusion and convection conditions in different areas of tumours, resulting in variable penetration properties of the radiolabelled targeting agents. In addition, there might be variations in the expression of target structures on the tumour cells. All these time-dependent factors make it difficult to establish basic and reproducible dose rate–response relations in vivo.

Our experimental model was designed to give reproducible and controllable irradiation conditions, and we applied a model with a rather long physical half-life (32P sources with T 1/2=14.3 days), giving only a slow decrease in dose rate during the exposures. Relevant dose rates were selected through the amount of radionuclide placed in the irradiation chambers. The exposure times were selected to correspond to the effective half-lives of the radionuclides delivered by targeting agents of different types.

In targeted radionuclide therapy it is, of course, also necessary to consider unwanted side-effects on normal tissues. However, analyses of normal tissue effects were beyond the scope of this study. Hyperradiosensitivity [28, 29] at low doses, bystander effects [3032] and low dose rate-induced apoptosis [33, 34] are all extensively studied processes. Our model allows these processes to work together, but we did not try to study them separately. The overall goal of the study was to find “dose rate–exposure time” relations that could kill all of the exposed 105 tumour cells, so that no remaining cells would be observed after 3 months.

Materials and methods

Irradiation chambers

The irradiation chambers have been described previously [35], so only a short description is given here. Three identical chambers were used and each was filled with 400 ml distilled water containing 0.74–2.22 GBq 32P. The water was boiled and degassed shortly before adding 32P and filling of the chambers, in order to avoid air bubbles. The beta emitter 32P (orthophosphate) (T 1/2=14.3 days) was obtained from Amersham Pharmacia Biotech (Amersham, UK).

The upper area of the chambers, where the cells were exposed to beta particles from 32P, was covered with a 0.5-mm thin transparent polycarbonate foil. The radiation protection walls surrounding the side and the bottom of the chambers, as well as the lid above the cell cultures, consisted of 15-mm transparent polycarbonate (Macrolon). 32P could not reach and be incorporated in the cells. The irradiated cells were grown in 3-cm-diameter culture dishes with a plastic bottom thickness of 1 mm. The culture dishes were placed directly on the thin foils above the 32P source. The chambers were kept in cell culture incubators at 37°C (Kebo Assab T304GF, Stockholm, Sweden) and supplied with 5% carbon dioxide. The lid above the cultures had side openings, allowing efficient passage of the incubator atmosphere.

Dosimetry

The dosimetry has also been described previously [35]. The dose rate for each chamber was controlled by measurements with a thin-walled parallel ion chamber [36]. The ion chamber was calibrated using an external 60Co source with the front wall of the ion chamber at the dose maximum depth, where the dose rate was 0.30 Gy/min. The 60Co source was calibrated according to national standard procedures accepted for radiotherapy purposes. The thin-walled parallel ion chamber accurately measured the dose independent of dose rate down to at least 0.01 Gy/h, if corrections were made for “leakage current” in the instrumentation.

The measurements of dose rates were performed with the thin-walled ion chamber placed in cell culture dishes standing on the 32P radiation chambers. This procedure allowed mimicking of the dose rate in the cell environment. All three chambers were measured repeatedly. Measurements were also made with a surface hand detector (RNI 10/R Intensimeter, Nuklex, Uppsala, Sweden), and a calibration curve was constructed to facilitate repeated dose rate determinations during the cell culture periods.

Tumour cells

The cells used were HT-29 colorectal adenocarcinoma, A-431 cervical squamous carcinoma, SKBR-3 breast cancer, all from the American Type Culture Collection (ATCC), and the two gliomas U-118MG and U-373MG from the Department of Pathology, Uppsala University, Uppsala, Sweden. They were grown in Ham’s F-10 medium supplemented with 10% fetal bovine serum, 2 mmol/l L-glutamine, 100 μg/ml streptomycin and 100 U/ml penicillin, all components from Sigma AB (Stockholm, Sweden). The cells were normally grown in an incubator of type Galaxy S (LabRum Klimat AB, Stockholm, Sweden), and during the irradiations they were grown in a similar incubator (Kebo Assab T304GF, Stockholm, Sweden). Both incubators were run at 37°C and supplied with 5% carbon dioxide.

The cells in the study were selected for the following reasons. SKBR-3 cells are often studied since they express large amounts of HER2 receptors and are therefore applied in experiments on HER2-directed radionuclide targeting, using antibodies or affibody molecules [37, 38]. A-431 cells express both large amounts of EGFR and also rather large amounts of HER2 and are therefore often studied for radionuclide targeting with both EGF ligands [39] and anti-HER2 antibodies [40]. Both cell types are planned for experimental therapy using beta particle-mediated radionuclide therapy, especially 177Lu. The two glioma cell lines also express EGFR [41] to some degree but were, together with the HT-29 cells, selected because they have recently been studied at our laboratory with regard to short-term effects after low dose rate irradiations [35]. It was found that U-373MG cells showed radiation-induced apoptosis, while U-118MG cells did not. The HT-29 cells were intermediate in this respect [35]. Furthermore, U-373MG cells have previously been reported not to show hyperradiosensitivity at low doses, while both U-118MG and HT-29 cells do [28].

Choice of dose rate and exposure time

In the previous study, with the same 32P chambers, we analysed effects on cells after exposure to initial dose rates of only 0.05–0.09 Gy/h for 7 days [35]. The cells in that study were analysed for effects on cell number, apoptosis and cell cycle block at day 7 of continuous exposure. However, we also allowed cells to continue to grow for longer times in parallel dishes and found that all cultures recovered. Thus, we decided to apply initial dose rates from 0.1 Gy/h up to 0.8 Gy/h in the present study to have a reasonable chance of “simulating” curative treatment. We could not apply higher dose rates because of regulatory rules limiting the amount of 32P that could be handled in the cell culture laboratory. Furthermore, this dose rate range is the same as that applied in published studies on low dose rate effects [2123], hyperradiosensitivity and low dose rate [29], and radionuclide treatment of gliomas in vitro [42] and in vivo [43], and actually covers the range up to the highest dose achievable in targeted radionuclide tumour therapy [10, 16, 18, 27, 44].

Four cell dishes were placed in each irradiation chamber when the dose rate was as expected and the cells were then kept there for 24, 72 or 168 h (1, 3 or 7 days). The radiation exposure time was chosen not to be longer than a week, since it is known from numerous articles in the field of radionuclide therapy that the tumour cell retention of radioactivity is generally in the range of some days up to about 1 week (in some cases it is only a few hours). Furthermore, it is well known that the biological half-life of tumour targeting agents (ligands, antibodies and antibody fragments) in the systemic circulation is often shorter than a week (in the case of small ligands, it is only a few hours). Thus, the longest exposure time considered to be realistic was 1 week.

Cell counting

The medium was removed from the cell dishes and the cells were quickly washed with 0.5 ml trypsin-EDTA (0.25% trypsin/0.02% EDTA solution in PBS, VWR, Stockholm, Sweden) and then incubated with 0.5 ml trypsin-EDTA (37°C, 5% CO2) until the cells detached. Next, 1.5 ml medium was added to each dish and the cells resuspended to a single cell solution. For cell counting, 19.5 ml PBS (pH 7.4) was added to 0.5 ml cell suspension and an electronic cell counter was used (Coulter Z2, 7–20 μm, Beckman Coulter, Stockholm, Sweden).

Cell culture conditions during and after irradiations

Cells were seeded sparsely in culture dishes (diameter 3.5 cm, surface 9.6 cm2, Nunc, Roskilde, Denmark) a few days before the start of the radiation exposure. They were seeded so that each culture dish contained about 105 cells at the start of the exposure. The first cell count was made at the start of each experiment, on representative culture dishes. If the cell number was about 105 per dish, four other, parallel culture dishes were placed in each of the three irradiation chambers. The irradiated cells were grown in the chambers with unirradiated control dishes placed on a near radiation-shielded shelf in the same incubator. The cells did not reach confluence during the irradiation period. After the radiation exposure, the cells were moved from the irradiation chamber incubator to another incubator and the cell growth was followed for several months. At the first subcultivation after the radiation exposure, the cells were transferred from culture dishes to culture flasks (25 cm2, Nunc, Roskilde, Denmark), and these flasks were then used throughout the growth period. The medium in all culture dishes and flasks was replaced three times a week. Cell counting was in most cases performed once a week, followed by reseeding of 105 cells in each new flask.

Growth curves

The growth curves were constructed as if all cells had been saved at each subcultivation. By calculating how many cells would have been obtained if all cells had been saved, such high cell numbers as 1015 (Fig. 1a) and even up to 1025 (Fig. 1b) were obtained. In reality, repeated dilutions were made to keep the number of cells in each culture flask in the range of 105–106, thus allowing for exponential growth. Four parallel flasks were kept for each experiment. In order to analyse the significance of the differences between the groups, t tests were performed.

Cell kill versus regrowth

The criterion for killing of a cell culture with 105 cells was that no living cells could be seen in the phase contrast microscope and that no regrowth was observed after at least 3 months of follow-up, also applying electronic cell counting.

Growth delay

Growth delay was also analysed after 1, 3 or 7 days of continuous low dose rate exposure. The growth curves of the irradiated samples in some cases did not have the same slope as the control curves, so it was not possible to wait and measure growth delay when the recovered cells and the control cells had a similar growth rate. Instead, growth delay was defined as the time it took for the irradiated cells to reach the cell number 1010 in relation to the time it took for the control cultures to reach this number.

Literature survey

The Medline-based PubMed database was used to survey effects of targeted radionuclide therapy and of low dose rate therapy.

Results

Growth curves

Figure 1 shows examples of growth curves for control cells and cells exposed to continuous low dose rate beta irradiation. In Fig. 1a the initial dose rate was 0.415 Gy/h and the exposure time 72 h. After 72 h the dose rate had decreased to 0.359 Gy/h, and the exposure gave a total dose of about 27.8 Gy. The irradiated HT-29 cells recovered after irradiation and resumed, after about 50 days, a similar growth rate as the controls. In contrast, the U-373MG cells completely ceased to grow after the same radiation exposure. After more than 30 days, only a few giant cells could be identified in the microscope. They were too few to be counted with the electronic cell counter. However, there was a possibility that at least a few of these cells could grow later, so they were observed (with normal medium changes) for up to 3 months. Nevertheless, no recovery could be observed; instead, the cells disappeared. It was then concluded that the irradiation procedure had killed all U-373MG cells. Thus, the HT-29 cultures survived the treatment, while the U-373MG cells died.

Fig. 1
figure 1

Examples of cell growth as a function of time after exposure to low dose rate irradiation. a HT-29 and U-373MG cells were exposed to 0.415 Gy/h as the initial dose rate and then continuously exposed for 72 h. b A-431, U-118MG and SKBR-3 cells were exposed to 0.806 Gy/h as the initial dose rate and then continuously exposed for 24 h. Mean values and maximal variations from four parallel samples are given

Figure 1b shows examples of growth curves for an initial dose rate of 0.806 Gy/h and an exposure time of 24 h. After 24 h the dose rate had decreased to 0.768 Gy/h and the exposure gave a total dose of about 18.9 Gy. The irradiated A431 cells continued to grow, but at a slower rate than the controls. The growth of irradiated U-118MG cells was arrested for up to about 40 days after the treatment. During those 40 days, resting cells were observed in the culture flasks, but there was no sign of growth. After 40 days a few mitotic cells were observed in the phase contrast microscope, and the number of cells was thereafter measured with the electronic cell counter. A clear regrowth was seen after 60 days. However, their growth rate was slower than that of the corresponding controls. The SKBR-3 cells looked severely damaged (fragmented, decreasing in number and forming giant cells) some days after the exposure and were too few to be counted with the electronic cell counter. Within 1 month, no surviving cells could be observed in the culture flasks. In this case, too, we continued to control the culture flasks for 3 months (with normal medium changes) and found that there were no remaining cells in these cultures. Thus, A-431 and U-118MG cells survived, while the SKBR-3 cells died.

The conclusions from the examples in Fig. 1a and b are that four different responses were observed:

  • The HT-29 cells recovered to the control growth rate after a growth delay.

  • The U-118MG cells recovered after a growth delay but continued to grow at a slower rate than the controls.

  • The A-431 cells continued to grow without delay but at a slower rate than the control

  • The U-373MG and SKBR-3 cells died.

Cell kill and regrowth versus dose rate and exposure time

Figure 2 summarises cell-killing and regrowth results from all performed low dose rate experiments. All five analysed cell types were irradiated with different initial low dose rates (0.1–0.8 Gy/h) and were continuously exposed for 1, 3 or 7 days.

Fig. 2
figure 2figure 2

Summary of all low dose rate experiments carried out for a U-118MG, b U-373MG, c HT-29, d A-431 cells and e SKBR-3 cells. The cells were irradiated with different initial dose rates and were then exposed to the radiation for 1, 3 or 7 days. The figures show at which combinations of dose rate and exposure time all cells were killed (area with no survivors), and at which at least some cells survived and displayed regrowth (the regrowth area). The separation between the two areas is indicated by bold solid lines. The total delivered radiation dose (Gy) is given in parentheses near each point. The 20-Gy isodose curve is indicated by a dashed line

Figure 2 parts a–e show a similar and general pattern. When applying 7 days of continuous irradiation, low initial dose rates, about 0.2–0.3 Gy/h, were enough to kill all cells. When cells were exposed for only 3 days, a dose rate in the order of 0.4–0.6 Gy/h was necessary to kill all cells. Only the SKBR-3 cells were killed after 24-h exposure to about 0.8 Gy/h. As mentioned in Materials and methods, higher dose rates could not be used in these experiments, so we do not know how high the dose rates would have to be during 24-h exposure in order to kill the other cell types. It was found that the regrowth pattern was the same in all four flasks.

However, even if the results looked rather similar and independent of cell type, there were some cell type-dependent differences. The U-118MG cells (Fig. 2a) required, during 7 days’ exposure, at least about 0.3 Gy/h as the initial dose rate to be completely growth inactivated. The U-373MG cells (Fig. 2b) were completely growth inactivated after an initial dose rate of only about 0.15 Gy/h and 7 days’ exposure. Thus, the U-373MG cells were, in these cases, easier to kill than the U-118MG cells. Considering all cells, it seemed that the U-118MG cells were most resistant and U-373MG and SKBR-3 most sensitive, while A-431 and HT-29 were intermediate.

Cell kill and regrowth versus total dose

The 20-Gy isodose curve is drawn with a dashed line in Fig. 2a–e. For U-373MG and SKBR-3 cells, at least a total dose of 20 Gy was necessary to prevent regrowth. For HT-29 and A-431 cells an even higher total dose seemed necessary, and for the resistant U-118MG cells it seemed that total doses of at least 40 Gy were necessary to prevent regrowth.

Growth delay as a function of dose rate

Figure 3a–e shows growth delays versus the initial dose rate after 1, 3 or 7 days of continuous low dose rate exposure. The growth delay curves in Fig. 3a show that the radioresistant U-118MG cells had growth delays, after 24-h exposure, which increased slowly as a function of the initial dose rate. A growth delay of 2 months was obtained at about 0.7, 0.3 and 0.2 Gy/h after 1, 3 and 7 days of continuous exposure, respectively. The growth delay curves for the more radiosensitive U-373MG cells increased more steeply (Fig. 3b), and a growth delay of 2 months was obtained at about 0.5 and 0.2 Gy/h after 1 and 3 days of continuous exposure, respectively. Thus, the U-373MG cells were more sensitive than the U-118MG cells also with regard to growth delay.

Fig. 3
figure 3figure 3

Growth delay versus the initial dose rate after 1, 3 or 7 days of continuous low dose rate exposure for a U-118MG, b U-373MG, c HT-29, d A-431 and e SKBR-3 cells. The boxes at the top of each figure indicate at which dose rates and exposure times there was no regrowth (infinite growth delay or total kill of the cultures). Mean values and maximal variations from four samples are shown

Both the HT-29 cells (Fig. 3c) and the SKBR-3 cells (Fig. 3e) had a biphasic growth delay curve after 1 day’s exposure. The A-431 cells (Fig. 3d) had a slow increase in growth delay as a function of dose rate after 1 day’s exposure.

The SKBR-3 cells had a growth delay that increased rather steeply as a function of the dose rate and reached a value of 2 months at about 0.50 and 0.15 Gy/h after 1 and 7 days of continuous exposure, respectively (Fig. 3e).

Growth delay as a function of total dose

The same growth delay data as in Fig. 3a–e are instead plotted as a function of the delivered total dose in Fig. 4a–c, but here, for clarity, without the maximal variations. In all cases, there was a general increasing growth delay as a function of dose. Growth delays in the order of 10 days were obtained for all cells after delivery of total doses in the range 5–15 Gy, independent of whether the dose was given during 1, 3 or 7 days. Delays around 100 days required total doses of about 15–20 Gy when given during 1 day and 25–40 Gy when given during 3 or 7 days, for all cells.

Fig. 4
figure 4

Growth delay versus total dose after a 1, b 3 or c 7 days of continuous low dose rate exposure for U-118MG, U-373MG, HT-29, A-431 and SKBR-3 cells. The growth delay values are the same as in Fig. 3 but, for clarity, without maximal variations

Discussion

The obtained results can hopefully serve as a guideline for the combinations of dose rate and exposure time necessary to kill tumour cells when applying low dose rate beta irradiation. The shift from regrowth to “cure” (no surviving cells) fell, for each cell type, within a narrow range of combinations.

The U-118MG cells were more resistant to the treatments than the U-373MG and SKBR-3 cells. The A-431 and HT-29 cells showed intermediate resistance. However, the differences between the cell lines were not dramatic, and it can be generally stated that when applying 7 days of continuous irradiation, initial dose rates of about 0.2–0.3 Gy/h were enough to kill all cells in the cultures. When exposed for 3 days, an initial dose rate in the order of 0.4–0.6 Gy/h was needed. When the cells were exposed for only 24 h it was not possible to kill all the cells (with the exception of SKBR-3 cells), even if the initial dose rate was as high as about 0.8 Gy/h.

The studied dose rates are the highest that can be achieved in targeted radionuclide therapy [10, 16, 18]. The total doses achieved after 1, 3 or 7 days’ exposure also correspond to the highest achievable doses in targeted radionuclide therapy [16], and most often total doses of no more than 10–20 Gy are obtained in targeting of B-cell lymphomas [19]. However, there are indications from preclinical studies that dramatic “dose amplification” per receptor interaction can be achieved by using effective residualising agents [45].

The obtained dose rates in beta particle-based radionuclide therapy are to a large extent a consequence not only of the amount of radionuclides bound to each tumour cell, but also of the cross-fire effect. This means that radionuclides bound to one cell also irradiate nearby cells owing to the long range of the radiation [44, 46]. This can increase the dose rate tenfold, and makes it reasonable to assume that dose rates in the range used in our model experiments can be achieved in tumours in patients. The dose rate will be lower for a single tumour cell considering only the radionuclides bound to that cell [25]. Beta particles with a long range will permit rather uniform dose distributions and hopefully deliver therapeutically relevant radiation doses also to non-targeted tumour cells.

Lower dose rates than we applied will probably not lead to curative treatments when beta particles are applied. From the obtained results it is obvious that, at least for the five types of tumour cell tested, we succeeded in finding “dose rate–exposure time” combinations that could distinguish between “cure” (killing of 105 tumour cells) and “relapse” (recovery of tumour cells).

There may be cases in which only a fraction of the tumour cells have to be killed directly by radiation, since the remaining tumour cells may be killed through bystander effects [3032] or other factors (e.g. limited nutrition supply, natural immune response, adjuvant chemo- or immunotherapy). However, our model can be applied under the assumption that 105 tumour cells have to be killed by radiation, even if other tumour cells are killed by other means.

When considering radionuclide therapy it is, of course, also important to consider unwanted effects on normal tissues. The tolerance doses for most normal tissues are not known when exposure is to low dose rate irradiation. Targeted radionuclide therapy, using, for example, radiolabelled antibodies, fragments of antibodies or various receptor ligands, is expected to result in highly tumour-specific uptake of the therapeutic radionuclides. Thus, for a curative intent it is reasonable to establish the necessary tumour dose rates and exposure times. Another obvious question is which targeting agent should be tried for each type of tumour and, most importantly, whether the required conditions can be achieved without excessively severe side-effects on normal tissues. However, analyses of effects on normal tissues were beyond the scope of this study.

Here we discuss the observed cell type-dependent differences. In a previous study [35] we published data on low dose rate acute effects, using three of the cells in the present study: U-118MG, U-373MG and HT-29. In that study the initial dose rate was only 0.05–0.09 Gy/h and the exposure time, 7 days. As would be expected in view of our new data, all cultures did grow after such treatment. It was shown that the U-373MG cells had, at day 7, the most pronounced reduction in cell number owing to a combination of a G2 block and radiation-induced apoptosis. There were surprisingly low reductions in U-118MG and HT-29 cell numbers. U-118MG had a G2 block but no radiation-induced apoptosis. HT-29 had both a G2 block and some radiation-induced apoptosis, but the amount of apoptosis was smaller than for U-373MG cells. Thus, the results from that study indicated the U-373MG cells to be more sensitive than the other two cell lines owing to a higher degree of apoptosis. This is in agreement with the cell-killing results from the present study.

The intrinsic radiosensitivity measured as S2Gy, after exposure to a high dose rate (most often 0.5–2.0 Gy/min) photons has previously been determined for four of our studied cell lines. No determination of S2Gy for SKBR-3 cells was found in the literature. The results are given in Table 1 [28, 4754].

Table 1 Survival at 2Gy after exposure to high dose rates

There is also a review article on the intrinsic radiosensitivity, measured as cell survival at the dose 2Gy, S2Gy, for 694 human cell lines, of which 271 were from tumours [55]. The tumour cell lines were grouped according to tumour type, and the S2Gy values for the U-118MG and U-373MG gliomas and the A-431 cervical carcinoma used in this study fell within the expected range of values for the corresponding types of tumour. Thus, these cells can be considered typical for their tumour groups, at least regarding intrinsic radiosensitivity at high dose rate exposure. The HT-29 colorectal carcinoma is an exception, since it seems to be somewhat more radioresistant than most other colorectal carcinomas.

Considering the values in Table 1, it is clear that there is no relation between S2Gy and the effects of low dose rate irradiations. For example, the U-118MG cells were found to be most radioresistant to a low dose rate, while their S2Gy values were in the same range as for the other cell lines. The U-373MG cells, which were considered most sensitive to a low dose rate, also had S2Gy values in the same range.

One possible explanation of the lack of agreement between intrinsic radiosensitivity measured as S2Gy and the effect of a low dose rate is that there are cell type-dependent differences in repopulation during low dose rate irradiations. Such differences can probably “overshadow” the differences in intrinsic radiosensitivity. Another possible explanation might be cell type-dependent differences in the capacity for low dose rate-induced apoptosis. The latter is supported by our previous study [35], which showed that low dose rate-induced apoptosis was more frequent in U-373MG cells than in HT-29 cells and that no such apoptosis could be observed for U-118MG cells. Furthermore, it seems as if differences in hyperradiosensitivity (measured at low doses but at a high dose rate) are not of great importance, since the U-118MG and HT-29 cells have been reported to show hyperradiosensitivity, while U-373MG cells do not [28]. Had hyperradiosensitivity been of importance under the exposure conditions in this study, then U-373MG cells should have been more resistant than HT-29 and U-118MG cells.

It has recently been suggested that variations in radiosensitivity at low dose rates are related to the compactness of chromatin [56], but it is not known whether the cells in our study have any differences in this respect. In another recent experimental study, a good therapeutic effect at a low dose rate was reported; in fact, if the total delivered dose was in the range 1–2 Gy, the effect was as good as that achieved at a high dose rate, although the difference in dose rate was nearly three orders of magnitude [57]. This indicates that there are basic radiation biology aspects of low dose rate radiation that have to be analysed in much more detail. A clue to the molecular factors involved came from a recent report showing that activation or inhibition of the DNA damage sensor ATM is of importance [58]. It was found that DNA damage inflicted at a low rate failed to activate ATM; however, if ATM was activated by chloroquine, the cells survived the low dose rate much better.

We conclude that dose rates in the range 0.2–0.3 Gy/h are necessary in order to kill 105 tumour cells during 1 week’s exposure. Higher dose rates, such as 0.4–0.6 Gy/h and >0.8 Gy/h, are necessary if the exposure times are only 3 days and 1 day, respectively. If, in some cases, a good therapeutic effect cannot be obtained with beta particle radionuclide therapy because of too low dose rates and/or too short exposure times, then repeated (fractionated) treatment is a possibility to improve the result. However, the cellular response to repeated low dose rate exposures has to be analysed in further studies, since there is a risk of radiation-induced changes in the growth pattern of the tumour cells surviving the first exposure, as shown in Fig. 1b.