Treatment acceleration in radiotherapy: the relative time factors and dose-response slopes for tumours and normal tissues

Cutaneous squamous-cell carcinoma of the head-neck area refractory to chemo-radiotherapy: benefit from anti-PD-1 immunotherapy

Objective:

Radiotherapy provides excellent results in locally advanced cutaneous squamous-cell carcinoma of the head and neck area (cSCC-HN), with a 2-year local progression-free interval obtained for about 80% of patients. Overexpression of immune checkpoint co-inhibitory molecules, like PD-L1 (programmed death ligand 1), by cancer cells may define local immunosuppression, tumour escape from immune surveillance and reduced radiotherapy efficacy.

Methods:

A 65-year-old female, with a large exophytic cSCC-HN invading adjacent soft tissues, was treated with hypofractionated accelerated chemo-radiotherapy. The patient received four bi-weekly cycles of chemotherapy concurrently with eight fractions of 5.5 Gy (two fractions per week). Two months after the end of chemo-radiotherapy, the tumour was stable in dimensions, without any signs of symptomatic relief. The patient was, after that, treated with anti-PD-1 immunotherapy (nivolumab). The tumour gradually regressed, reaching partial response after four cycles and complete response after 16 cycles of nivolumab. No side-effects related to immunotherapy were recorded. The patient is alive and without evidence of disease 28 months after radiotherapy.

Conclusions:

Treatment of patients with chemo- and radio-resistant cSCC-HN with immunotherapy may optimize the efficacy of radiotherapy by stimulating immunological tumour rejection mechanisms. cSCC-HN patients who fail to respond to chemo-radiotherapy completely are expected to benefit the most from immunotherapy because of the radio-vaccination effect expected from the preceded radiotherapy.

Evaluation of the correlation between side effects to oral mucosa, salivary glands, and general health status with quality of life during intensity-modulated radiotherapy for head and neck cancer

PURPOSE

The aim of this study was to evaluate the distribution of acute clinical complications that involve the oral cavity (oral mucositis and salivary flow), general health status (Karnofsky performance status scale (KPS) and weight), and quality of life using the worst performance throughout radiotherapy treatment by intensity-modulated radiation therapy (IMRT) in the head and neck region and to evaluate the correlation between these variables.

METHODS

This prospective, longitudinal study evaluated 32 patients who were undergoing IMRT for head and neck tumors. The measures were collected weekly through standardized protocols and a quality of life questionnaire (UW-QOL version 4).

RESULTS

The worst performance for all variables was concentrated in treatment weeks 2 and 5. Regarding quality of life, the emotional dimensions were the most affected (pain 62.86; activity 55; recreation 43.57; mood 49.97; shoulder 57.06; anxiety 42.91). There were a higher number of moderate mucositis correlations with quality of life (mucositis × KPS 0.002; mucositis × weight loss 0.03; mucositis × pain 0.001; mucositis × activity 0.002; mucositis × recreation 0.001; mucositis × swallowing 0.002; mucositis × saliva 0.006; mucositis × mood 0.007; mucositis × anxiety 0.002).

CONCLUSIONS

IMRT treatment severely deteriorated the patients' quality of life. There were important correlations between the clinical variables and quality of life, especially mucositis.

Association of Survival With Shorter Time to Radiation Therapy After Surgery for US Patients With Head and Neck Cancer

Importance

Shortening the time from surgery to the start of radiation (TS-RT) is a consideration for physicians and patients. Although the National Comprehensive Cancer Network recommends radiation to start within 6 weeks, a survival benefit with this metric remains controversial.

Objective

To determine the association of delayed TS-RT with overall survival (OS) using a large cancer registry.

Design, Setting, and Participants

In this observational cohort study, 25 216 patients with nonmetastatic stages III to IV head and neck cancer were identified from the National Cancer Database (NCDB).

Exposures

Patients received definitive surgery followed by adjuvant radiation therapy, with an interval duration defined as TS-RT.

Main Outcomes and Measures

Overall survival as a function of TS-RT and the effect of clinicopathologic risk factors and accelerated fractionation.

Results

We identified 25 216 patients with nonmetastatic squamous cell carcinoma of the head and neck. There were 18 968 (75%) men and 6248 (25%) women and the mean (SD) age of the cohort was 59 (10.9) years. Of the 25 216 patients, 9765 (39%) had a 42-days or less TS-RT and 4735 (19%) had a 43- to 49-day TS-RT. Median OS was 10.5 years (95% CI, 10.0-11.1 years) for patients with a 42-days or less TS-RT, 8.2 years (95% CI, 7.4-8.6 years; absolute difference, -2.4 years, 95% CI, -1.5 to -3.2 years) for patients with a 43- to 49-day TS-RT, and 6.5 years (95% CI, 6.1-6.8 years; absolute difference, -4.1 years, 95% CI, -3.4 to -4.7 years) for those with a 50-days or more TS-RT. Multivariable analysis found that compared with a 42-days or less TS-RT, there was not a significant increase in mortality with a 43- to 49-day TS-RT (HR, 0.98; 95% CI, 0.93-1.04), although there was for a TS-RT of 50 days or more (HR, 1.07; 95% CI, 1.02-1.12). A significant interaction was identified between TS-RT and disease site. Subgroup effect modeling found that a delayed TS-RT of 7 days resulted in significantly worse OS for patients with tonsil tumors (HR, 1.22; 95% CI, 1.05-1.43) though not other tumor subtypes. Accelerated fractionation of 5.2 fractions or more per week was associated with improved survival (HR, 0.93; 95% CI, 0.87-0.99) compared with standard fractionation.

Conclusions and Relevance

Delayed TS-RT of 50 days or more was associated with worse overall survival. The multidisciplinary care team should focus on shortening TS-RT to improve survival. Unavoidable delays may be an indication for accelerated fractionation or other dose intensification strategies.

The alfa and beta of tumours: a review of parameters of the linear-quadratic model, derived from clinical radiotherapy studies

BACKGROUND

Prediction of radiobiological response is a major challenge in radiotherapy. Of several radiobiological models, the linear-quadratic (LQ) model has been best validated by experimental and clinical data. Clinically, the LQ model is mainly used to estimate equivalent radiotherapy schedules (e.g. calculate the equivalent dose in 2 Gy fractions, EQD₂), but increasingly also to predict tumour control probability (TCP) and normal tissue complication probability (NTCP) using logistic models. The selection of accurate LQ parameters α, β and α/β is pivotal for a reliable estimate of radiation response. The aim of this review is to provide an overview of published values for the LQ parameters of human tumours as a guideline for radiation oncologists and radiation researchers to select appropriate radiobiological parameter values for LQ modelling in clinical radiotherapy.

METHODS AND MATERIALS

We performed a systematic literature search and found sixty-four clinical studies reporting α, β and α/β for tumours. Tumour site, histology, stage, number of patients, type of LQ model, radiation type, TCP model, clinical endpoint and radiobiological parameter estimates were extracted. Next, we stratified by tumour site and by tumour histology. Study heterogeneity was expressed by the I² statistic, i.e. the percentage of variance in reported values not explained by chance.

RESULTS

A large heterogeneity in LQ parameters was found within and between studies (I² > 75%). For the same tumour site, differences in histology partially explain differences in the LQ parameters: epithelial tumours have higher α/β values than adenocarcinomas. For tumour sites with different histologies, such as in oesophageal cancer, the α/β estimates correlate well with histology. However, many other factors contribute to the study heterogeneity of LQ parameters, e.g. tumour stage, type of LQ model, TCP model and clinical endpoint (i.e. survival, tumour control and biochemical control).

CONCLUSIONS

The value of LQ parameters for tumours as published in clinical radiotherapy studies depends on many clinical and methodological factors. Therefore, for clinical use of the LQ model, LQ parameters for tumour should be selected carefully, based on tumour site, histology and the applied LQ model. To account for uncertainties in LQ parameter estimates, exploring a range of values is recommended.

The alfa and beta of tumours: a review of parameters of the linear-quadratic model, derived from clinical radiotherapy studies

Background

Prediction of radiobiological response is a major challenge in radiotherapy. Of several radiobiological models, the linear-quadratic (LQ) model has been best validated by experimental and clinical data. Clinically, the LQ model is mainly used to estimate equivalent radiotherapy schedules (e.g. calculate the equivalent dose in 2 Gy fractions, EQD₂), but increasingly also to predict tumour control probability (TCP) and normal tissue complication probability (NTCP) using logistic models. The selection of accurate LQ parameters α, β and α/β is pivotal for a reliable estimate of radiation response. The aim of this review is to provide an overview of published values for the LQ parameters of human tumours as a guideline for radiation oncologists and radiation researchers to select appropriate radiobiological parameter values for LQ modelling in clinical radiotherapy.

Methods and materials

We performed a systematic literature search and found sixty-four clinical studies reporting α, β and α/β for tumours. Tumour site, histology, stage, number of patients, type of LQ model, radiation type, TCP model, clinical endpoint and radiobiological parameter estimates were extracted. Next, we stratified by tumour site and by tumour histology. Study heterogeneity was expressed by the I² statistic, i.e. the percentage of variance in reported values not explained by chance.

Results

A large heterogeneity in LQ parameters was found within and between studies (I² > 75%). For the same tumour site, differences in histology partially explain differences in the LQ parameters: epithelial tumours have higher α/β values than adenocarcinomas. For tumour sites with different histologies, such as in oesophageal cancer, the α/β estimates correlate well with histology. However, many other factors contribute to the study heterogeneity of LQ parameters, e.g. tumour stage, type of LQ model, TCP model and clinical endpoint (i.e. survival, tumour control and biochemical control).

Conclusions

The value of LQ parameters for tumours as published in clinical radiotherapy studies depends on many clinical and methodological factors. Therefore, for clinical use of the LQ model, LQ parameters for tumour should be selected carefully, based on tumour site, histology and the applied LQ model. To account for uncertainties in LQ parameter estimates, exploring a range of values is recommended.

Electronic supplementary material

The online version of this article (10.1186/s13014-018-1040-z) contains supplementary material, which is available to authorized users.

Effect of psychosocial distress on outcome for head and neck cancer patients undergoing radiation

OBJECTIVES/HYPOTHESIS

To determine the impact of pretreatment psychosocial distress on compliance to radiation therapy (RT) and clinical outcomes for patients with head and neck cancer STUDY DESIGN: Self-reported responses to the mood and anxiety domains of the University of Washington Quality of Life instrument were reviewed among 133 patients with newly diagnosed head and neck cancer prior to initiating RT.

METHODS

Varying definitions were used (total number of unexpectedly missed RT days, >5 days continuous interruption of RT outside of weekends, >10 days continuous interruption of RT, and failure to complete prescribed course of RT) to analyze the effect of psychosocial disruption on compliance. Survival was determined using the Kaplan-Meier method.

RESULTS

The prevalence of pretreatment depression and anxiety was 23% and 47%, respectively. Continuous RT breaks >5 days occurred in 46%, 33%, 10%, 9%, and 0% of patients whose mood was rated as "extremely depressed," "somewhat depressed," "neither in a good mood or depressed," "generally good," and "excellent," respectively (P = .0016). The corresponding proportion of patients who did not complete their planned RT was 23%, 11%, 5%, and 3%, and 0%, respectively (P = .043). The 2-year overall survival of patients who were "extremely depressed" or "somewhat depressed" at baseline was 71% versus 86% for all others (P = .026). Depression was independently associated with decreased overall survival on logistical regression analysis.

CONCLUSIONS

Pretreatment depression predicted for decreased RT compliance and inferior survival for head and neck cancer. Additional research to overcome potential barriers to treatment in this setting may be warranted.

LEVEL OF EVIDENCE

4. Laryngoscope, 128:641-645, 2018.

Where Do We Look for Markers of Radiotherapy Fraction Size Sensitivity?

The response of human normal tissues to radiotherapy fraction size is often described in terms of cellular recovery, but the causal links between cellular and tissue responses to ionising radiation are not necessarily straightforward. This article reviews the evidence for a cellular basis to clinical fractionation sensitivity in normal tissues and discusses the significance of a long-established inverse association between fractionation sensitivity and proliferative indices. Molecular mechanisms of fractionation sensitivity involving DNA damage repair and cell cycle control are proposed that will probably require modification before being applicable to human cancer. The article concludes by discussing the kind of correlative research needed to test for and validate predictive biomarkers of tumour fractionation sensitivity.

Combination antiangiogenic therapy and radiation in head and neck cancers

Tumor angiogenesis is a hallmark of advanced cancers and promotes invasion and metastasis. Over 90% of head and neck squamous cell carcinomas (HNSCC) express angiogenic factors such as vascular endothelial growth factor (VEGF). Several preclinical studies support the prognostic implications of angiogenic markers for HNSCC and currently this is an attractive treatment target in solid tumors. Since radiotherapy is one of the most commonly used treatments for HNSCC, it is imperative to identify the interactions between antiangiogenic therapy and radiotherapy, and to develop combination therapy to improve clinical outcome. The mechanisms between antiangiogenic agents and ionizing radiation are complicated and involve many interactions between the vasculature, tumor stroma and tumor cells. The proliferation and metastasis of tumor cells rely on angiogenesis/blood vessel formation. Rapid growing tumors will cause hypoxia, which up-regulates tumor cell survival factors, such as hypoxia-inducing factor-1α (HIF-1α) and vascular endothelial growth factor (VEGF), giving rise to more tumor proliferation, angiogenesis and increased radioresistance. Thus, agents that target tumor vasculature and new tumor vessel formation can modulate the tumor microenvironment to improve tumor blood flow and oxygenation, leading to enhanced radiosensitivity. In this review, we discuss the mechanisms of how antiangiogenic therapies improve tumor response to radiation and data that support this combination strategy as a promising method for the treatment of HNSCC in the future.

Biological dose volume histograms during conformal hypofractionated accelerated radiotherapy for prostate cancer

Radiobiological data suggest that prostate cancer has a low alpha/beta ratio. Large radiotherapy fractions may, therefore, prove more efficacious than standard radiotherapy, while radiotherapy acceleration should further improve control rates. This study describes the radiobiology of a conformal hypofractionated accelerated radiotherapy scheme for the treatment of high risk prostate cancer. Anteroposterior fields to the pelvis deliver a daily dose of 2.7 Gy, while lateral fields confined to the prostate and seminal vesicles deliver an additional daily dose of 0.7 Gy. Radiotherapy is accomplished within 19 days (15 fractions). Dose volume histograms, calculated for tissue specific alpha/beta ratios and time factors, predict a high biological dose to the prostate and seminal vesicles (77-93 Gy). The biological dose to normal pelvic tissues is maintained at standard levels. Radiobiological dosimetry suggests that, using hypofractionated and accelerated radiotherapy, high biological radiation dose can be given to the prostate without overdosing normal tissues.

Preventing radiation induced xerostomia

Radiation induced xerostomia is a frequent consequence of radiotherapy (RT) for head-neck cancer (HNC) patients, when parotid glands are included in the radiation fields. Although early appearing xerostomia may be alleviated with the use of pilocarpine, persistent chronic xerostomia affects more than 70% of HNC patients treated with post-operative or radical radiotherapy and significantly impairs the quality of life potentially cured patients. The present manuscript reviews and discusses the current technological (conformal and intensity modulated RT) and pharmacological (amifostine) developments aiming to prevent the severity and reduce incidence of both acute and late radiation xerostomia in patients with HNC.

Importance of the treatment package time in surgery and postoperative radiation therapy for squamous carcinoma of the head and neck

BACKGROUND

To determine the effect of treatment time-related factors on outcome in patients treated with surgery and postoperative radiation therapy (RT) for locally advanced squamous cell carcinoma of head and neck (SCCHN) METHODS: A retrospective review was performed on 208 consecutive patients treated from 1992 to 1997 with surgery and postoperative RT (> or =55 Gy) for SCCHN. The treatment time factors considered were (1) interval from surgery to the start of RT; (2) RT duration; and (3) the total time from surgery to completion of RT (treatment package time). Treatment package time was dichotomized into short (< or =100 days) vs long (>100 days) categories. Other variables considered were clinical and pathologic staging, margin status, RT dose, and tumor site. Patients were also divided into intermediate- and high-risk groups on the basis of eligibility for RTOG 95-01. Univariate (logrank) and multivariate analyses were performed.

RESULTS

Median follow-up for surviving patients was 24 months. Actuarial 2-year locoregional control (LRC) and survival rates were 82% and 71%, respectively. In univariate analysis, factors associated with higher locoregional failure were high-risk group (p =.011), margin status (p =.038), pathologic stage (p =.035), clinical N stage (p =.006), package time (p =.013), and RT treatment time (p =.03). Package time was also a significant predictor of survival in univariate analysis (p =.021). The other two individual time factors, tumor factors, and RT dose were not significant. Both risk status and treatment package time were significant factors in a multivariate model of LRC.

CONCLUSIONS

A total treatment package time of <100 days is associated with improved tumor control and survival. Every effort should be made to keep the time from surgery to the completion of postoperative RT to <100 days.

Normal tissue radiobiology: from the laboratory to the clinic

This manuscript is in four parts, presenting the four talks given in a symposium on normal tissue radiobiology. The first part addresses the general concept of the role of parenchymal cell radiosensitivity vs. other factors, highlighting research over the last decade that has altered our understanding of factors underlying normal tissue response. The other three parts expand on specific themes raised in the first part dealing in particular with (1) modifications of fibroblast response to irradiation in relation to the induction of tissue fibrosis, (2) the use of the linear-quadratic equation to model the potential benefits of using different means (both physical and biologic) of modifying normal tissue response, and (3) the specific role of the growth factor TFG-beta1 in normal tissue response to irradiation. The symposium highlights the complexities of the radiobiology of late normal tissue responses, yet provides evidence and ideas about how the clinical problem of such responses may be modified or alleviated.

Dose equivalents of tumour repopulation during radiotherapy: the potential for confusion

When employing linear quadratic equations to calculate compensation for changes in overall treatment time, a potential confusion exists regarding use of the parameter commonly described as the dose equivalent of tumour repopulation. The more correct term for this factor is the biologically effective dose equivalent of tumour repopulation. The distinction between the two concepts is discussed and the potential errors arising from their confusion are illustrated by means of an example.

Pitfalls in estimating the influence of overall treatment time on local tumor control

Variations in the overall treatment time of human tumors occur for a number of reasons: differences in standard treatment schedules among centers, occurrence of public holidays during treatment, machine maintenance or breakdown, and decisions made by physicians to change treatment for individual patients based on patient or tumor response. It is now widely accepted that tumor proliferation can occur during treatment, and many efforts have been made to quantify the effects of varying the treatment time. Some of the many problems associated with obtaining quantitative estimates of the time factor are discussed. The aim of this paper is to illustrate that estimates of the time factor for tumor repopulation should be regarded with skepticism and used with extreme caution.

The modelled benefits of individualizing radiotherapy patients' dose using cellular radiosensitivity assays with inherent variability

OBJECTIVE

To model the increases in local tumour control that may be achieved, without increasing normal tissue complications, by prescribing a patient's dose based on cellular radiosensitivity measured using an assay possessing inherent variability.

METHOD

Patient populations with varying radiosensitivity were simulated, based on measured distributions among cancer patients of the surviving fraction of their fibroblasts given a dose of 2 Gy in vitro (SF2). The dose-response curve for complications in the population was assessed using a formula relating SF2 to normal tissue complication probability (NTCP), by summing the data for the individuals. This curve was similar to clinically-derived dose-response curves. The effect of individualizing the patients' doses was explored, based on individual radiosensitivities measured by SF2, so that every patient had the same low (5%) value of NTCP.

RESULTS

It was found that a significant gain (up to around 30%) in tumour control probability (TCP) was predicted for the population when the doses were individualized using a predictive assay result strongly correlated with NTCP. A greater gain in TCP was predicted when each of the individuals were assumed to have a higher sensitivity and the distribution of radiosensitivity in the population was widened to compensate. The gain in TCP was less (around 20%) when considering less-sensitive patients and a narrower distribution of radiosensitivities. The effect of assay variability and other factors that could affect the predictive power of the assay was simulated. Assay variability and an imperfect correlation between in vitro cell survival and tissue complications, rapidly increased the NTCP for the population when treated with individualized doses. However the individualized doses could be reduced so that NTCP declined to an acceptable level, but in this case the TCP for the population also declined. For example, when the assay variability was half the true variability in SF2, the gain in TCP was reduced to around 6%. Also, the predicted gains in population TCP were higher if tumour and normal tissue radiosensitivity were assumed to be correlated. In this case, and in the absence of assay variability, increases in population TCP of about 50% and 30% were predicted, depending on the assumed relative sensitivities of the individual patients compared with that of the population average. For practical application, the division of the patient population simply into three groups of high, average and low radiosensitivity was also examined. The three groups were treated with different doses and the NTCP for the population was kept below 5%. Although the gain in population TCP was less than that predicted with the full individualization, considerable gains of up to 20% were still predicted. This method of dividing the population was more resilient to assay variability and other factors that may affect complications in patients. The modelling suggests that small improvements in TCP (5-10%) may still be achievable even if the correlation between SF2 and late complications is lower at around - 0.4 to - 0.6, as reported in some clinical series.

CONCLUSION

Modelling based on measured distributions of fibroblast radiosensitivity shows that improvements in tumour control rates may be achievable through the individualization of radiotherapy dose prescriptions of cancer patients, when assay variability is less than about 50% of the true variability in radiosensitivity, and with greater benefits if tumour and normal tissue radiosensitivity are correlated. Tripartite stratification of the population proved to be less sensitive to assay uncertainty, and can provide most of the benefits of the full individualization.

Repopulation during radical radiotherapy for T1 glottic cancer

BACKGROUND AND PURPOSE

Because opinions on the significance of repopulation during radiotherapy of T1 laryngeal cancer vary, we have estimated the effective rate of tumour cell repopulation during radiotherapy in patients with T1 laryngeal cancer.

MATERIALS AND METHODS

One hundred seventeen consecutive patients with T1 laryngeal cancer were treated from 1982 to 1993 by radical radiotherapy alone either as continuous (n = 28) or split-course treatment (n = 89). The logit method of the linear-quadratic formula for local control at 3 years was used to examine the effect of treatment time on local control. The analysis was made for all patients to obtain a wide range of overall treatment times.

RESULTS

The 3-year overall survival rate was 76% and the 3-year local control rate was 85% (range 82-88%). The local control rates were 95% (range 94-96%) for the continuous and 81% (range 75-91%) for the split-course therapy groups, respectively. The results showed a mean Dprolif value at the steepest part of the response versus time curve of 0.48 Gy/day for local control at 3 years although this was not statistically significant. The trade-off of dose required to compensate for a 1 week increase in treatment time for local control at the 90% level achieved at 3 years was calculated to be 3.5 Gy.

CONCLUSIONS

The present results suggest that repopulation should be taken into account even when treating small T1 laryngeal cancer and that protraction of the overall treatment time should be avoided.

Modelling the optimal radiotherapy regime for the control of T2 laryngeal carcinoma using parameters derived from several datasets

PURPOSE

A number of previous studies have used direct maximum-likelihood methods to derive the values of radiobiological parameters of the linear-quadratic model for head and neck tumors from large clinical datasets. Time factors for accelerated repopulation were included, along with a lag period before the start of this repopulation. This study was performed to attempt to utilise these results from clinical datasets to compare treatment regimes in common clinical use in the UK, along with other schedules used historically in a number of clinical series in North America and elsewhere, and to determine if an optimal treatment regime could be derived based on these clinical data.

METHODS

The biologically-based linear-quadratic model, applied to local tumor control and late morbidity, has been used to derive theoretical optimum (maximising tumor control whilst not exceeding tolerance for late reactions) radiotherapy schedules based on daily fractions. The specific case of T2 laryngeal carcinoma was considered as this is treated primarily by radiotherapy in many centers. Parameter values for local control were taken from previous analyses of several large single-center and national datasets. A time factor and a lag period were included in the modelling. Values for the alpha/beta ratio for late morbidity were used in the range 1-4 Gy, which is compatible with the limited range of values reported in the literature for particular complications following radiotherapy for head and neck cancer. Early reactions and their consequential late morbidity were not modelled in this study, but assumed to be within tolerance.

RESULTS

For treatments using daily fractions there was a broad optimum treatment time of between 3-6 weeks. The theoretical optimum depended to some extent on the value of the alpha/beta ratio for late morbidity, but in many cases was at or just beyond the end of the purported lag period of 3-4 weeks, although small values of alpha/beta between 1-2 Gy favour longer treatment times. Similar results were obtained using a range of parameter values derived from four independent clinical datasets.

CONCLUSION

The mathematical modelling of this broad range of once-daily treatments for most of which differences in local control and late morbidity are essentially undetectable (< 5%) has shown how this clinically-recognised phenomenon is interpreted in terms of the combination of dose-response slopes, fractionation sensitivities and time factors for both tumor control and normal tissue morbidity. Although the conclusions are inevitably tempered by a number of caveats concerning confounding factors in different centers; for example, the use of different treatment volumes, the present analysis provides a framework with which to explore the potential value of modifications to conventional treatment schedules, such as the use of multiple fractions per day.

Apoptosis and mitotic cell death: their relative contributions to normal-tissue and tumour radiation response

The target-cell theory of tissue responses is reviewed with reference to the radiosensitivity of proposed target cells in bone marrow, intestine, epidermis, and spermatogenesis. The difficulties in precisely identifying target cells using histological/cell marker criteria, and hence determining the role of their mode of death in tissue responses, are being circumvented to some extent by the recent use of mice deficient in gene products required for radiation-induced apoptosis. In this case cell death results from 'mitotic cell death' and e.g. in the case of p53, any remaining p53-independent apoptosis. In the p53 null mouse, cell survival levels are increased in bone marrow and intestine but decreased in the testis. Different interpretations, based on the lack of p53-dependent apoptosis or the lack of a permanently induced G1-arrest in the case of marrow fibroblasts, can be applied to the results for different cell types. Hence both apoptosis and mitotic cell death can variously be involved as contributing to target-cell sensitivity and hence to early reactions in these tissues after irradiation. It is still unclear whether, or how, the mode of cell death (apoptotic versus mitotic) determines the radiosensitivity and response of tumours. In experimental tumours, the levels of radiation-induced apoptosis have been shown to correlate both with the in vivo response to radiation and the degree of spontaneous apoptosis in the tumours. Measurements of spontaneous apoptosis in human tumours, however, have yielded conflicting data with high apoptotic levels significantly correlating with both good and poor prognosis in different studies. There is one report of a lack of relationship between intrinsic radiosensitivity and spontaneous apoptosis in cervical cancers. In contrast several studies have reported correlations between apoptosis levels and the degree of tumour cell proliferation. Tumour hypoxia has also been shown to increase apoptosis. These data suggest that tumour apoptosis may be a reflection of intrinsic radiosensitivity, tumour cell proliferation and tumour hypoxia. Its relative importance will probably be tumour type, size and stage related.

Biologic basis of radiation therapy

The biologic effects of ionizing radiation are well understood. The limitations of radiation therapy time-dose schemes typically used in veterinary medicine are also well understood. Before expensive and potentially toxic combinations of treatment, such as radiation combined with chemotherapy or radiation combined with hyperthermia, can be fully understood, the effect of optimizing the manner in which radiation itself is administered must first be defined. This will only occur after a sufficient period of observation after improvement of the radiation time-dose schemes in use today. Also, when evaluating historic data regarding the response of canine and feline tumors to irradiation, the time-dose scheme used must be considered. Many papers were published based on coarsely fractionated schemes using large doses per fraction and relatively low total doses. Thus, the response rates published must be tempered by the fact that it may be possible to obtain better tumor control rates using smaller doses per fraction and a larger total dose.

Improved models of tumour cure

The standard mechanistic model for the probability of tumour cure (the "Poisson model') is based on the assumption that the number of surviving clonogens at the end of treatment follows a Poisson distribution from tumour to tumour. This assumption is not correct, however, if proliferation of tumour clonogens occurs during treatment, as would be expected in general during a fractionated course of radiotherapy. In the present study, the possible magnitude of the error in the Poisson model was investigated for tumours treated with either conventional fractionation or split-course therapy. An example is presented in which the Poisson model has an absolute error of nearly 100%, predicting a cure rate of 0% when in fact the cure rate was close to 100%. The largest errors in the Poisson model found in this study were for very small tumours (approximately 100 clonogens), but for larger tumours (> or = 10(6) clonogens), the Poisson model may still be highly inaccurate, predicting a cure rate that differs from the actual cure rate by as much as 40%. Three new tumour-cure models are proposed (the GS, PS, and GS+ models), and their accuracy is also investigated. Two of these (the GS and PS models) are better than the Poisson model for the clinically relevant cases tested here. The third model, the GS+ model, consistently produced the most accurate estimate of the tumour cure rate, but has more limited use than the GS and PS models because it is more highly parametrized. It is demonstrated here that no tumour-cure model based on the effective clonogen doubling time will be perfectly accurate in all cases, since the cure rate depends on the details of the cell kinetics contributing to the effective doubling time.

The reduction of tumour control with increasing overall time: mathematical considerations

The rate of loss of tumour control (dP/dt) with extension of treatment time is analysed to assess the relative contributions of radiobiological parameters (radiosensitivity, clonogen doubling time, clonogen numbers and fractionation schedule) on such loss. Linear quadratic modelling and Poisson statistics are used to study individual tumour responses. A heterogeneous tumour population is constructed by the use of random sampling techniques to allow for variations in intrinsic radiosensitivity and clonogen doubling times. Average tumour control probability is calculated for this population for two different fractionation schedules (60 Gy in 30 fractions and 50 Gy in 15 fractions), each given over 15-60 days. The magnitude of dP/dt will depend upon the tumour cure probability (P): the loss of control will be most significant for tumours which have a cure of 37% when the Poisson survival model is used. The analysis suggests that compensation for short unscheduled treatment gaps (e.g. by increasing the total dose or rescheduling with use of weekend treatment sessions) may only be required for difficult tumours (i.e. radioresistant and/or with short clonogen doubling times). Where pre-treatment clonogen numbers are relatively low as in small volume tumours or after surgical debulking, the model predicts that correction for short treatment gaps is probably not required if the average effective clonogen doubling times are longer than 5 days. Different dose-time-fractionation schedules, even though producing similar overall cure rates in clinical practice, may actually be achieving cures in different subpopulations within a population of tumours, since the value of dP/dt in each individual tumour will depend upon the set of radiobiological parameters given above. For a hypothetical randomly selected heterogeneous tumour population the predicted rates of loss of tumour control produced by an extension in treatment time are 0.9 and 1.1% per day, respectively, for the above fractionation schedules. These values are close to those reported in the clinical literature for the first 2 weeks of treatment prolongation (1-2% per day for squamous cell carcinomas). The Poisson method, when combined with random sampling techniques, consequently provides realistic data. Modelling of this clinical problem provides an insight into how tumour sub-populations, each characterized by its own set of radiobiological parameters, can influence the overall rate of loss of tumour control in a heterogeneous population. Random sampling techniques should be considered as necessary precursors for the assessment of the choices of dose-fractionation in future clinical trials particularly when more precise data regarding the radiobiological parameters and their statistical variations become available.

Constraints in the use of repair half times and mathematical modelling for the clinical application of HDR and PDR treatment schedules as an alternative for LDR brachytherapy

Using theoretical models based on radiobiological principles for the design of new treatment schedules for HDR and PDR brachytherapy, it is important to realise the impact of assumptions regarding the kinetics of repair. Extrapolations based on longer repair half times in a continuous LDR reference scheme may lead to the calculation of dangerously high doses for alternative HDR and PDR treatment schedules. We used the clinical experience obtained with conventional ERT and LDR brachytherapy in head and neck cancer as a clinical guideline to check the impact of the radiobiological parameters used. Biologically equivalent dose (BED) values for the in clinical practice of LDR brachytherapy recommended dose of 65-70 Gy (prescribed at a dose rate between 30-50 cGy/h) are calculated as a function of the repair half time. These BED values are compared with the biological effect of a clinical reference dose of conventional ERT with 2 Gy/day and complete repair between the fractions. From this comparison of LDR and ERT treatment schedules, a range of values for the repair half times of acute or late responding tissues is demarcated with a reasonable fit to the clinical data. For the acute effects (or tumor control) the best fits are obtained for repair half times of about 0.5 h, while for late effects the repair half times are at least 1 h and can be as high as 3 h. Within these ranges of repair half times for acute and late effects, the outcome of "alternative' HDR or PDR treatment schedules are discussed. It is predominantly the late reacting normal tissue with the longer repair half time for which problems will be encountered and no or only marginal gain is to be expected of decreasing the dose rate per pulse in PDR brachytherapy.

The impact of overall treatment time on the results of radiotherapy for nonsmall cell lung carcinoma

PURPOSE

We evaluated the impact of overall treatment time on the disease-free survival (DFS) and local control after radiotherapy for nonsmall cell lung carcinoma.

METHODS AND MATERIALS

One hundred fifty-three cases considered as responders to radiotherapy were retrospectively analyzed. Patients with Karnofsky status < 70, pretreated with chemotherapy and with pleural or pericardial effusion, were excluded from the analysis. Radiation dose homogenization was done with calculation of the normalized total dose without (NTD) and with time correction (NTD-T) for alpha/beta = 10 Gy.

RESULTS

Kaplan-Meier curves for 2-year DFS showed that any analysis based on radiation dose can prove to be erroneous when the time factor is neglected. Although there was no difference between the 47-55 Gy and 56-64 Gy NTD groups, a log rank test revealed a strong difference (p < 0.0002) between NTD-T groups. No difference was observed for patients with mediastinal involvement. Logistic regression analysis showed a statistical association of dose on 2-year local progression-free probability for different time compartments. For those cases without mediastinal involvement, the daily dose lost because of treatment protraction beyond 20 days after the beginning of radiotherapy was estimated to 0.2 Gy/day. When all cases were considered together this was calculated to 0.45 Gy/day.

CONCLUSION

Time factor should not be underestimated when evaluating the results of radiotherapy for nonsmall cell lung cancer. There is strong evidence that prolonged overall treatment time could be a major cause of the failure of radiotherapy to control the local disease.

A modelled comparison of the effects of using different ways to compensate for missed treatment days in radiotherapy

There is much evidence for the detrimental effect on tumour control of missed treatment days during radiotherapy, amounting for example to approximately a 1.6% absolute decrease in local control probability per day of treatment prolongation in the case of head and neck squamous cell cancer. Various methods to compensate for missed treatment days are compared quantitatively in this article, using the linear-quadratic formalism. The overall time and fraction size can be maintained by either treating on weekend days (the preferred way (Method 1a), although with unsocial hours and at extra cost) or using two fractions per day to "catch up' (Method 1b). The latter might incur a small loss of tolerance regarding late reactions, when intervals of 6-8 h are used rather than 24 h, and there may be logistical/scheduling difficulties with larger numbers of patients in some centres when using this method. A second type of strategy retains overall treatment time, and also one fraction per day, but the size of the dose per fraction is increased. For example, this may be done for the same number of "post-gap' days as gap days (Method 2). However, with this method, calculated isoeffect doses regarding late reactions indicate a probable decrease in tumour control rate (Method 2a). Otherwise, isoeffective doses regarding tumour control result in an increase in late reactions (Method 2b). In addition, this method is unsuitable for short regimens already using high doses per fraction. To reduce this problem, overall treatment time can also be retained by using fewer fractions, all of greater size in the case of planned gaps (statutory holidays), or larger remaining fractions after unplanned gaps (Method 2c). The problem also with this method is that equivalence for tumour control gives an increase in late reactions. The least satisfactory strategy (Method 3) is to accept the protraction caused by the missed treatment days, and give either the same prescribed number of (slightly larger) fractions or the planned treatment followed by one (or more) extra fraction to compensate for the gap. This would retain the expected local control rate, but there would be an increase in late reactions. An example of this, using average parameter values, is that a 3-day gap (necessitating four extra days to complete treatment with one fraction of 2.4 Gy) might maintain a 70% local control rate for glottic carcinoma, but severe reactions might rise from 1% to 4% and minor/moderate reactions from 37% to 50%. In this example, the inclusion of an extra weekend would increase the required extra dose and hence may further increase the morbidity rates. A final point is that the effect of treatment interruptions for an individual patient is expected to be greater than that for a group of patients because of interpatient heterogeneity tending to flatten dose-response curves. Calculations show that the above value of 1.6% loss of local control per day for a group of patients may reflect values for individual patients that range around a median value of as much as 5% per day, so stressing further the importance of gaps in treatment. It is concluded that, wherever possible, treatment days should not be missed. If they are missed, it is important to compensate for them, preferably by one of the first of the above methods (1a or 1b), in order to keep as close as possible to the original/standard prescription in terms of total dose, dose per fraction and overall time.

The absence of an adverse effect of prolongation of radiation treatment of primary rectal adenocarcinoma

Many reports have shown a deleterious effect from the prolongation of radiation treatment duration on local control of squamous cell carcinomas in a variety of sites. To study whether a similar effect was found in adenocarcinoma of the rectum, a retrospective review was performed of 353 patients treated by external beam radiation therapy for primary adenocarcinoma of the rectum. At 4 years, the local control rate for mobile tumours was 25 percent; for fixed tumours it was 7 percent. By multiple Cox regression analysis, the only factor statistically significant for local control was tumour fixation (P=0.02). Neither treatment length (P=0.44), nor the presence of an interruption in treatment (P=0.41) was significant. The possible explanations for these observations are discussed.

Cell loss factors and the linear-quadratic model

A method is described for incorporating a variable cell loss factor (phi) within the linear-quadratic (LQ) model. By allowing for a progressive reduction in phi as treatment progresses, the revised model behaves in a way which is consistent with the apparent presence of accelerated tumour repopulation during fractionated radiotherapy. Predictions based on a slowing of the cell loss process, rather than a true increase in clonogen proliferation rate, are consistent with the phenomenon of 'unmasking' of potential doubling time described by Fowler (Fowler, J.F. Rapid repopulation in radiotherapy: a debate on mechanism. Radiother Oncol 24: 125, 1992). An optional time delay factor may be included, to allow for the fact that progressive reduction in cell loss may not begin until part of the treatment has been delivered. The model provides a description of the manner in which tumour control doses are likely to increase as overall treatment time is increased.

Volume and heterogeneity dependence of the dose-response relationship for head and neck tumours

Based on the Poisson statistics of cell kill a model for the response of heterogeneous tumours to non-uniform dose delivery have been developed. The five parameters required to characterize the response are the 50% response dose, D50, the normalized dose-response gradient, gamma, the tumour heterogeneity factor, h, the relative volume, v and the extra daily dose required to counteract the tumour cell proliferation, delta. The model has been fitted to data from a number of clinical investigations to allow the derivation of clinically relevant radiation response parameters for head and neck tumours. The D50 value for T2 larynx cancers is 59.9 Gy in 41 days with a relative standard deviation of 2.1 Gy and the gamma value is 2.9 with a relative standard deviation of 0.3. The value of delta, which is most consistent with the clinical data for laryngeal tumours, is 0.35 Gy/day and this value should be used if the treatment time is changed from the 41 days normalization. The heterogeneity factor, h, is close to zero for laryngeal tumours which indicates that their response is basically governed by Poisson statistics. Nasopharyngeal tumours, on the other hand, exhibit h values around 0.2 which indicates that these tumours are more heterogeneous in their internal organization and so are their responses to radiation.

The influence of radiotherapy treatment time on the control of laryngeal cancer: a direct analysis of data from two British Institute of Radiology trials to calculate the lag period and the time factor

This study analyses node-negative laryngeal tumour control data from two clinical trials conducted by the British Institute of Radiology in order to determine the time factors and the presence or absence of a lag period before the time factor takes effect. A direct maximum likelihood approach is used to fit a double-logarithmic model including a repopulation term which commences after an initial lag period, Tk. The analysis yields a time factor of 0.8 Gy per day (95% confidence interval 0.5-1.1 Gy per day) as the extra dose required to counteract the reduction in tumour control probability (TCP) with extension of the treatment time. The latter reduction amounted to between 5 and 12% TCP per week, depending on the stage and time period. With this dataset, where few patients were treated for short times, no statistically significant lag phase can be demonstrated. However, the best estimate of Tk is 21 days (95% confidence interval 0-27 days), which is consistent with estimates from other studies on other datasets. If a lag phase exists, this study would indicate that the duration is less than 27 days. Other studies have used retrospective data and are subject to a number of potential biases. The present study, using data from multicentre prospective randomized clinical trials, is free from some of these sources of bias. The fact that very similar estimates of the radiobiological parameters are obtained lends credence to these other studies and suggests that the potential biases may be small in practice.

Two components of repair in irradiated kidney colony forming cells

Data describing the response of mouse kidney colony-forming cells to fractionated X-irradiation using different interfraction intervals were analysed in order to detect the presence of one or more components of repair. A two-component repair model gave a superior fit, with reference to a single-repair rate model, giving distinct repair halftimes of 0.15 (approximate 95% confidence limits: 0.0, 0.40) and 5.03 (1.23, 8.84) h. These values are the first reported for normal cells in vivo, and they are similar to values calculated for tissue responses in skin, lung and the spinal cord. The slow component of repair is important in radiotherapy, in particular regarding novel hyperfractionation regimens when interfraction intervals much less than 1 day are employed.

Influence of radiotherapy treatment time on control of laryngeal cancer: comparisons between centres in Manchester, UK and Toronto, Canada

A comparison has been made of the influence of treatment time on tumour control rates for 496 (T2 and T3) larynx cancer cases in Manchester, UK and 1001 (T1-T4) cases in Toronto, Canada. Both series of patients were treated in fairly short overall times, commonly 3 weeks in Manchester and 4-5 weeks in Toronto. All the tumour control data were analysed using the same method to obtain values of fitted dose, fractionation and time parameters. The analysis showed the following. (a) Differences between the total combined (T2 + T3) data sets from the two centres, fitted using direct analysis and the LQ model incorporating a parameter for overall treatment time, were not significant (p = 0.17) and close similarity in control rates was observed using treatment regimens common to both series. (b) The Manchester series over 9-41 days and the Toronto series over 14-84 days are both consistent in showing for (T2 + T3) tumours the presence of a mean time factor of 0.6-0.8 Gy/day required to abrogate the decrease in tumour control concomitant with an increase in overall treatment time from the minimum the maximum employed in each series. (c) When a parameter was included in the model to test for the possible presence of a lag period before the time factor became operative, the lag was not significant for the Toronto data, in contrast to a significant lag for the Manchester data alone (T2 + T3 data).(ABSTRACT TRUNCATED AT 250 WORDS)

LQ-based model for biological radiotherapy planning

Despite the increasing accumulation of radiobiological data, radiotherapy planning does not take into account the alpha/beta values of normal irradiated tissues. The importance of the fact that the dose per fraction outside the 100% isodose area is not at all identical to the one inside the tumor area is also underestimated. Altered fractionation regimens further complicate the reliability of the conventional radiotherapy plans. In this study we report a theoretical application of the Macejewski's concept of "normalised total dose" that could make feasible the integration of alpha/beta and dose per fraction values in everyday radiotherapy practice. The concept of cumulative normalised total dose permits the preparing of radiotherapy plans with normalised isodose areas (the cumulative isodose area maps) for chosen ranges of radiation normalised doses. The effect of overall treatment time and interfraction interval is also taken into account. The present study suggests some guidelines that could be of value for the elaboration of a computer program for biological radiotherapy planning.

Precision in reporting the dose given in a course of radiotherapy

A knowledge of the precise dose given in a course of radiotherapy is vital to the interpretation of the result. Despite this, an acceptable level of reporting was found in only 72 (36%) of 200 papers published in the two leading journals of radiation oncology. Analysis of the treatment data of the cases with head and neck tumours in the pilot study of CHART showed that the mean of the minimum tumour doses given was 5.1% lower than the mean of those at the intersection points. Had the same total dose been prescribed to the intersection point instead of the minimum there would have been a similar lowering of dose. There is evidence from published clinical data and a suggestion from an analysis of the CHART pilot study data that a dose difference as small as 5% may lead to real impairment or enhancement of tumour response, as well as altering the risk of morbidity. Inadequate reporting may lead to a false interpretation of a study and to its wrongful application. It is strongly recommended that it should be editorial policy to publish only those papers where the radiation dose is fully described.

Perspectives of multidimensional conformal radiation treatment

We consider the present technological advancement that underlies the implementation of computer-controlled conformal radiotherapy. We also consider the developments in modern biology that may provide input to therapy planning. The concept of multidimensional conformal radiotherapy is advanced, which integrates geometrical precision and biological conformality, to optimize the treatment planning for individual patients, with a view to improve the overall success of radiotherapy.

The delay before onset of accelerated tumour cell repopulation during radiotherapy: a direct maximum-likelihood analysis of a collection of worldwide tumour-control data

The worldwide collection of control data for head and neck tumours presented by Withers et al. (Withers, H.R., Taylor, J.M.G. and Maciejewski, B. Acta Oncol. 27: 131-146, 1988) was reanalysed using a model which includes an explicit lag phase before the onset of tumour clonogen repopulation. A direct maximum-likelihood approach was used and the methodology extended to include the computation of profile-likelihood confidence limits. A statistically significant (p = 0.02) lag of 29 days was obtained with 95% confidence limits covering the range 17-31 days. However, the confidence interval was disconnected, and excluded the period 21-23 days. The analysis gave a time factor of 0.66 Gy/day. The mean values confirm the conclusions drawn by the original authors using a two-stage (indirect) method, and the values are similar to those calculated here for another data set comprising 496 patients (lag period = 26 (19-33) days). However, the data set itself is retrospective, and potentially subject to a number of biases. Therefore any clinical conclusions can only be tentative. A new feature of the methodology is the computation of profile-likelihood confidence limits and this will be useful in future direct analyses of clinical data of this type. The more usually computed normal approximation to the confidence limits have been shown to be inadequate in this analysis, and either profile-likelihood limits or likelihood ratio tests must be employed to determine the significance of the model parameters.