Andrzej Niemierko

Reporting and analyzing dose distributions: A concept of equivalent uniform dose

Modern treatment planning systems for three-dimensional treatment planning provide three-dimensionally accurate dose distributions for each individual patient. These data open up new possibilities for more precise reporting and analysis of doses actually delivered to irradiated organs and volumes of interest. A new method of summarizing and reporting inhomogeneous dose distributions is reported here. The concept of equivalent uniform dose (EUD) assumes that any two dose distributions are equivalent if they cause the same radiobiological effect. In this paper the EUD concept for tumors is presented, for which the probability of local control is assumed to be determined by the expected number of surviving clonogens, according to Poisson statistics. The EUD can be calculated directly from the dose calculation points or, from the corresponding dose-volume distributions (histograms). The fraction of clonogens surviving a dose of 2 Gy (SF2) is chosen to be the primary operational parameter characterizing radiosensitivity of clonogens. The application of the EUD concept is demonstrated on a clinical dataset. The causes of flattening of the observed dose-response curves become apparent since the EUD concept reveals the finer structure of the analyzed group of patients in respect to the irradiated volumes and doses actually received. Extensions of the basic EUD concept to include nonuniform density of clonogens, dose per fraction effects, repopulation of clonogens, and inhomogeneity of patient population are discussed and compared with the basic formula.

Breast Cancer Subtype Approximated by Estrogen Receptor, Progesterone Receptor, and HER-2 Is Associated With Local and Distant Recurrence After Breast-Conserving Therapy

PURPOSE To determine whether breast cancer subtype is associated with outcome after breast-conserving therapy (BCT) consisting of lumpectomy and radiation therapy. PATIENTS AND METHODS We studied 793 consecutive patients with invasive breast cancer who received BCT from July 1998 to December 2001. Among them, 97% had pathologically negative margins of resection, and 90% received adjuvant systemic therapy. No patient received adjuvant trastuzumab. Receptor status was used to approximate subtype: estrogen receptor (ER) or progesterone receptor (PR) positive and human epidermal growth factor receptor 2 negative = luminal A; ER+ or PR+ and HER-2+ = luminal B; ER-and PR -and HER-2+ = HER-2; and ER-and PR -and HER-2-= basal. Competing risks methodology was used to analyze time to local recurrence and distant metastases. RESULTS Median follow-up was 70 months. The overall 5-year cumulative incidence of local recurrence was 1.8% (95% CI, 1.0 to 3.1); 0.8% (0.3, 2.2) for luminal A, 1.5% (0.2, 10) for luminal B, 8.4% (2.2, 30) for HER-2, and 7.1% (3.0, 16) for basal. On multivariable analysis (MVA) with luminal A as baseline, HER-2 (adjusted hazard ratio [AHR] = 9.2; 95% CI, 1.6 to 51; P = .012) and basal (AHR = 7.1; 95% CI, 1.6 to 31; P = .009) subtypes were associated with increased local recurrence. On MVA, luminal B (AHR = 2.9; 95% CI, 1.3 to 6.5; P = .007) and basal (AHR = 2.3; 95% CI, 1.1 to 5.2; P = .035) were associated with increased distant metastases. CONCLUSION Overall, the 5-year local recurrence rate after BCT was low, but varied by subtype as approximated using ER, PR, and HER-2 status. Local recurrence was particularly low for the luminal A subtype, but was less than 10% at 5 years for all subtypes. Although further follow-up is needed, these results may be useful in counseling patients about their anticipated outcome after BCT.

Age, Breast Cancer Subtype Approximation, and Local Recurrence After Breast-Conserving Therapy

PURPOSE Prior results of breast-conserving therapy (BCT) have shown substantial rates of local recurrence (LR) in young patients with breast cancer (BC). PATIENTS AND METHODS We studied 1,434 consecutive patients with invasive BC who received BCT from December 1997 to July 2006. Ninety-one percent received adjuvant systemic therapy; no patients received trastuzumab. Five BC subtypes were approximated: estrogen receptor (ER) or progesterone receptor (PR) positive, HER2 negative, and grades 1 to 2 (ie, luminal A); ER positive or PR positive, HER2 negative, and grade 3 (ie, luminal B); ER or PR positive, and HER2 positive (ie, luminal HER2); ER negative, PR negative, and HER2 positive (ie, HER2); and ER negative, PR negative, and HER2 negative (ie, triple negative). Actuarial rates of LR were calculated by using the Kaplan-Meier method. RESULTS Median follow-up was 85 months. Overall 5-year cumulative incidence of LR was 2.1% (95% CI, 1.4% to 3.0%). The 5-year cumulative incidence of LR was 5.0% (95% CI, 3.0% to 8.3%) for age quartile 23 to 46 years; 2.2% (95% CI, 1.0% to 4.6%) for ages 47 to 54 years; 0.9% (95% CI, 0.3% to 2.6%) for ages 55 to 63 years; and 0.6% (95% CI, 0.1% to 2.2%) for ages 64 to 88 years. The 5-year cumulative incidence of LR was 0.8% (95% CI, 0.4% to 1.8%) for luminal A; 2.3% (95% CI, 0.8% to 5.9%) for luminal B; 1.1% (95% CI, 0.2% 7.4%) for luminal HER2; 10.8% (95% CI, 4.6% to 24.4%) for HER2; and 6.7% (95% CI, 3.6% to 12.2%) for triple negative. On multivariable analysis, increasing age was associated with decreased risk of LR (adjusted hazard ratio, 0.97; 95% CI, 0.94 to 0.99; P = .009). CONCLUSION In the era of systemic therapy and BC subtyping, age remains an independent prognostic factor after BCT. However, the risk of LR for young women appears acceptably low.

Long-Term Outcomes of Selective Bladder Preservation by Combined-Modality Therapy for Invasive Bladder Cancer: The MGH Experience

BACKGROUND Whether organ-conserving treatment by combined-modality therapy (CMT) achieves comparable long-term survival to radical cystectomy (RC) for muscle-invasive bladder cancer (BCa) is largely unknown. OBJECTIVE Report long-term outcomes of patients with muscle-invasive BCa treated by CMT. DESIGN, SETTING, AND PARTICIPANTS We conducted an analysis of successive prospective protocols at the Massachusetts General Hospital (MGH) treating 348 patients with cT2-4a disease between 1986 and 2006. Median follow-up for surviving patients was 7.7 yr. INTERVENTIONS Patients underwent concurrent cisplatin-based chemotherapy and radiation therapy (RT) after maximal transurethral resection of bladder tumor (TURBT) plus neoadjuvant or adjuvant chemotherapy. Repeat biopsy was performed after 40 Gy, with initial tumor response guiding subsequent therapy. Those patients showing complete response (CR) received boost chemotherapy and RT. One hundred two patients (29%) underwent RC-60 for less than CR and 42 for recurrent invasive tumors. MEASUREMENTS Disease-specific survival (DSS) and overall survival (OS) were evaluated using the Kaplan-Meier method. RESULTS AND LIMITATIONS Seventy-two percent of patients (78% with stage T2) had CR to induction therapy. Five-, 10-, and 15-yr DSS rates were 64%, 59%, and 57% (T2=74%, 67%, and 63%; T3-4=53%, 49%, and 49%), respectively. Five-, 10-, and 15-yr OS rates were 52%, 35%, and 22% (T2: 61%, 43%, and 28%; T3-4=41%, 27%, and 16%), respectively. Among patients showing CR, 10-yr rates of noninvasive, invasive, pelvic, and distant recurrences were 29%, 16%, 11%, and 32%, respectively. Among patients undergoing visibly complete TURBT, only 22% required cystectomy (vs 42% with incomplete TURBT; log-rank p<0.001). In multivariate analyses, clinical T-stage and CR were significantly associated with improved DSS and OS. Use of neoadjuvant chemotherapy did not improve outcomes. No patient required cystectomy for treatment-related toxicity. CONCLUSIONS CMT achieves a CR and preserves the native bladder in >70% of patients while offering long-term survival rates comparable to contemporary cystectomy series. These results support modern bladder-sparing therapy as a proven alternative for selected patients.

Radiation dose-response of human tumors

PURPOSE The dose of radiation that locally controls human tumors treated electively or for gross disease is rarely well defined. These doses can be useful in understanding the dose requirements of novel therapies featuring inhomogeneous dosimetry and in an adjuvant setting. The goal of this study was to compute the dose of radiation that locally controls 50% (TCD50) of tumors in human subjects. METHODS AND MATERIALS Logit regression was used with data collected from single institutions or from combinations of local control data accumulated from several institutions treating the same disease. RESULTS 90 dose response curves were calculated; 62 of macroscopic tumor therapy, 28 of elective therapy with surgery for primary control. The mean and median TCD50 for gross disease were 50.0 and 51.9 Gy, respectively. The mean and median TCD50 for microscopic disease control were 39.3 and 37.9 Gy, respectively. At the TCD50, an additional dose of 1 Gy controlled an additional 2.5% (median) additional patients with macroscopic disease and 4.2% (median) additional patients with microscopic disease. For both macro- and microscopic disease, an increase of 1% of dose at the TCD50 increased control rates approximately 1% (median) or 2-3% (mean). A predominance of dose response curves had shallow slopes accounting for the discrepancy between mean and median values. CONCLUSION Doses to control microscopic disease are approximately 12 Gy less than that required to control macroscopic disease, and are about 79% of the dose required to control macroscopic disease. The percentage increase in cures expected for a 1% increase in dose is similar for macroscopic microscopic disease, with a median value of approximately 1%/% and a mean of approximately 2.7%/%.

Secondary Carcinogenesis in Patients Treated with Radiation: A Review of Data on Radiation-Induced Cancers in Human, Non-human Primate, Canine and Rodent Subjects

Abstract Suit, H., Goldberg, S., Niemierko, A., Ancukiewicz, M., Hall, E., Goitein, M., Wong, W. and Paganetti, H. Secondary Carcinogenesis in Patients Treated with Radiation: A Review of Data on Radiation-Induced Cancers in Human, Non-human Primate, Canine and Rodent Subjects. Radiat. Res. 167, 12–42 (2007). Concern for risk of radiation-induced cancer is growing with the increasing number of cancer patients surviving long term. This study examined data on radiation transformation of mammalian cells in vitro and on the risk of an increased cancer incidence after irradiation of mice, dogs, monkeys, atomic bomb survivors, occupationally exposed persons, and patients treated with radiation. Transformation of cells lines in vitro increased linearly with dose from ∼1 to ∼4–5 Gy. At <0.1 Gy, transformation was not increased in all studies. Dose–response relationships for cancer incidence varied with mouse strain, gender and tissue/organ. Risk of cancer in Macaca mulatta was not raised at 0.25–2.8 Gy. From the atomic bomb survivor study, risk is accepted as increasing linearly to 2 Sv for establishing exposure standards. In irradiated patients, risk of cancer increased significantly from 1 to 45 Gy (a low to a high dose level) for stomach and pancreas, but not for bladder and rectum (1–60 Gy) or kidney (1–15 Gy). Risk for several organs/tissues increased substantially at doses far above 2 Gy. There is great heterogeneity in risk of radiation-associated cancer between species, strains of a species, and organs within a species. At present, the heterogeneity between and within patient populations of virtually every parameter considered in risk estimation results in substantial uncertainty in quantification of a general risk factor. An implication of this review is that reduced risks of secondary cancer should be achieved by any technique that achieved a dose reduction down to −0.1 Gy, i.e. dose to tissues distant from the target. The proportionate gain should be greatest for dose decrement to less than 2 Gy.

Implementation of a model for estimating tumor control probability for an inhomogeneously irradiated tumor

This paper presents the details of a practical implementation of a model for the prediction of the tumor control probability (TCP) when a tumor is irradiated non-uniformly. The implementation is based on a previously published model and represents a simplified version of the model with a limited number (five) of parameters. We show how to derive the model parameters from clinically available data and offer pseudocode for computer implementation. The model should be a useful tool for evaluating and optimizing 3D dose distributions.

Second tumors after radiosurgery: tip of the iceberg or a bump in the road?

OBJECTIVERadiosurgery-associated second tumors have been reported in four isolated patients during the past 2 years. In our own experience, we are aware of two additional patients. The purpose of this report is to call attention to this potentially emerging problem. METHODSA review of the English-language literature concerning patients with radiosurgery-associated second tumors was performed. In addition, we report on two patients in our own practice who were treated in the past year. RESULTSFour patients were found in the literature, and two additional patients were seen by the authors. Malignant tumors occurred as early as 6 years after radiosurgery. The pathological findings in three of these four malignant tumors were glioblastoma multiforme. Benign tumors developed between 16 and 19 years later. Tumors developed both within the full-dose prescription volume and in the lower-dose periphery. Of interest, three of the six patients experienced complications of the radiosurgery treatment before developing second tumors. CONCLUSIONAlthough patients will increasingly be reported with second tumors after radiosurgery in the future, the overall incidence seems quite low and should not alter current radiosurgical practice. However, continual surveillance of treated patients should be considered.

Analysis of the relationship between tumor dose inhomogeneity and local control in patients with skull base chordoma.

PURPOSE When irradiating a tumor that abuts or displaces any normal structures, the dose constraints to those structures (if lower than the prescribed dose) may cause dose inhomogeneity in the tumor volume at the tumor-critical structure interface. The low-dose region in the tumor volume may be one of the reasons for local failure. The aim of this study is to quantitate the effect of tumor dose inhomogeneity on local control and recurrence-free survival in patients with skull base chordoma. METHODS AND MATERIALS 132 patients with skull base chordoma were treated with combined photon and proton irradiation between 1978 and 1993. This study reviews 115 patients whose dose-volume data and follow-up data are available. The prescribed doses ranged from 66.6 Cobalt-Gray-Equivalent (CGE) to 79.2 CGE (median of 68.9 CGE). The dose to the optic structures (optic nerves and chiasm), the brain stem surface, and the brain stem center was limited to 60, 64, and 53 CGE, respectively. We used the dose-volume histogram data derived with the three-dimensional treatment planning system to evaluate several dose-volume parameters including the Equivalent Uniform Dose (EUD). We also analyzed several other patient and treatment factors in relation to local control and recurrence-free survival. RESULTS Local failure developed in 42 of 115 patients, with the actuarial local control rates at 5 and 10 years being 59% and 44%. Gender was a significant predictor for local control with the prognosis in males being significantly better than that in females (P = 0.004, hazard ratio = 2.3). In a Cox univariate analysis, with stratification by gender, the significant predictors for local control (at the probability level of 0.05) were EUD, the target volume, the minimum dose, and the D5cc dose. The prescribed dose, histology, age, the maximum dose, the mean dose, the median dose, the D90% dose, and the overall treatment time were not significant factors. In a Cox multivariate analysis, the models including gender and EUD, or gender and the target volume, or gender and the minimum target dose were significant. The more biologically meaningful of these models is that of gender and EUD. CONCLUSION This study suggests that the probability of recurrence of skull base chordomas depends on gender, target volume, and the level of target dose inhomogeneity. EUD was shown to be a useful parameter to evaluate dose distribution for the target volume.

Proton vs carbon ion beams in the definitive radiation treatment of cancer patients.

BACKGROUND AND PURPOSE Relative to X-ray beams, proton [(1)H] and carbon ion [(12)C] beams provide superior distributions due primarily to their finite range. The principal differences are LET, low for (1)H and high for (12)C, and a narrower penumbra of (12)C beams. Were (12)C to yield a higher TCP for a defined NTCP than (1)H therapy, would LET, fractionation or penumbra width be the basis? METHODS Critical factors of physics, radiation biology of (1)H and (12)C ion beams, neutron therapy and selected reports of TCP and NTCP from (1)H and (12)C irradiation of nine tumor categories are reviewed. RESULTS Outcome results are based on low dose per fraction (1)H and high dose per fraction (12)C therapy. Assessment of the role of LET and dose distribution vs dose fractionation is not now feasible. Available data indicate that TCP increases with BED with (1)H and (12)C TCPs overlaps. Frequencies of GIII NTCPs were higher after (1)H than (12)C treatment. CONCLUSIONS Assessment of the efficacy of (1)H vs(12)C therapy is not feasible, principally due to the dose fractionation differences. Further, there is no accepted policy for defining the CTV-GTV margin nor definition of TCP. Overlaps of (1)H and (12)C ion TCPs at defined BED ranges indicate that TCPs are determined in large measure by dose, BED. Late GIII NTCP was higher in (1)H than (12)C patients, indicating LET as a significant factor. We recommend trials of (1)H vs(12)C with one variable, i.e. LET. The resultant TCP vs NTCP relationship will indicate which beam yields higher TCP for a specified NTCP at a defined dose fractionation.