Abstract
Purpose
To evaluate intra- and inter-fraction variability of tumor and lung volume and position using a hybrid active breath-hold gating technique.
Methods and Materials
159 repeat normal inspiration active breath-hold CTs were acquired weekly during radiation therapy for 9 lung cancer patients (12-21 scans/patient). A physician delineated the gross tumor volume (GTV), lungs, and spinal cord on the first breath-hold CT and contours were propagated semi-automatically. Intra- and inter-fraction variability of tumor and lung position and volume were evaluated. Tumor centroid and border variability was quantified.
Results
On average, intra-fraction variability of lung and GTV centroid position was less than 2.0 mm. Inter-fraction population variability was 3.6-6.7 mm (systematic) and 3.1-3.9 mm (random) for the GTV centroid and 1.0-3.3 mm (systematic) and 1.5-2.6 mm (random) for the lungs. Tumor volume regressed 44.6% ± 23.2%. GTV border variability was patient-specific and demonstrated non-isotropic shape change in some subjects. Inter-fraction GTV positional variability was associated with tumor volume regression and contralateral lung volume (p < 0.05). Inter-breath hold reproducibility was unaffected by time point in the treatment course (p > 0.1). Increases in free-breathing tidal volume were associated with increases in breath-hold ipsilateral lung volume (p < 0.05).
Conclusions
The breath hold technique was reproducible within 2 mm during each fraction. Inter-fraction variability of GTV position and shape was substantial due to tumor volume and breath hold lung volume change during therapy. These results support the feasibility of a hybrid breath-hold gating technique and suggest online image guidance would be beneficial.
Keywords: Active breath-hold; Respiratory motion; Lung cancer; Intra-fraction variability, Inter-fraction variability
INTRODUCTION
One impediment in the precise delivery of thoracic radiotherapy is the effect of respiratory-induced tumor motion. Considerable effort has been made to characterize lung tumor motion due to respiration and its variation during treatment (1-7). The results of these studies support the overall recommendation of assessing tumor motion on a patient-specific basis, and motion management approaches have been recommended for tumor excursion greater than 5 mm in any direction (8).
Active breathing control, or ABC, has proven to be effective in stabilizing both the lung volume and lung tumor position (9-14). This supports the implementation of ABC for lung cancer radiotherapy, however lung tumor stability and breath-hold reproducibility late in the treatment course has not been widely explored. A study conducted by Kashani et al. explored lung tumor short and long-term stability under moderate deep inspiration (i.e. 75-80% of vital capacity), half the volume of inhale, and end exhale breath-hold at three different time points during treatment (12). This study was limited to evaluating reproducibility of the target volume position as represented by the centroid. Long-term breath-hold stability is of particular importance in lung cancer radiotherapy due to initial compromised pulmonary function that may be exacerbated by radiation and chemotherapy regimens, as previously reported for breast cancer patients (15, 16).
Furthermore, evaluating tumor stability over time is of interest due to changes in the respiratory pattern (2) and tumor motion that have been observed throughout radiation therapy. Britton et al. analyzed repeat 4DCTs and demonstrated that tumor mobility changes significantly throughout treatment (1). Similarly, Nottrup et al. evaluated breathing variation for eleven patients via external monitoring with the Varian RPM system and reported a median population variation of ~15 mm (intra- and inter-fraction variations combined) over the treatment course, with baseline variation being the largest individual component (3). Because the ABC device is not an absolute spirometer—baseline levels are set to the functional residual capacity (end of normal expiration) throughout the breathing session (13)— changes in breathing pattern over the treatment course may lead to changes in the predefined volume of breath-hold. In addition, the effects of tumor volume regression and other pathological changes over time, which have been shown to contribute to changes in lung tumor position in free-breathing radiotherapy (17), cannot be overlooked. All of these studies provide compelling evidence that evaluating patient performance and lung tumor stability with ABC over the treatment course is necessary.
One issue impeding the widespread implementation of ABC for lung cancer radiotherapy is patient compliance. This is particularly true in the case of deep-inspiration breath-hold, where a reported 60% of lung cancer patients studied at one institution cannot perform breath-holds reproducibly enough to be treated with the device (8). Therefore, in an effort to improve patient compliance and tolerance to ABC, we designed a hybrid breath-hold gating technique at our institution. Similar to Murphy et al. (18), breath-hold levels were designed to follow normal patient respiration. For treatment, patients will be allowed to perform short (5 to 15 s) breath holds to reduce fatigue. The purpose of this study was to evaluate the intra- and inter-fraction stability of the lung tumor and lungs obtained throughout the radiation therapy treatment course using this hybrid breath-hold gating technique. Through this analysis, the feasibility of implementing ABC in lung cancer radiotherapy can be assessed, particularly late in the treatment course, where patient performance and breathing stability may be affected.
METHODS AND MATERIALS
Patient population
Nine patients with biopsy-confirmed non-small cell lung carcinoma were enrolled in an imaging study approved by William Beaumont Hospital's institutional review board after providing informed consent. Tumor location, pathology, and size varied, as demonstrated by Table 1. The mean patient age was 72.8 ± 11.5 years (range, 51-84). All but one patient (Patient 2) received concurrent chemotherapy with radiotherapy with the following regimens: carboplatin-taxol (n = 4) and cisplatin-etoposide (n = 4).
Table 1.
Patient | GTV Location | TNM Stage | CT Scans | Histology |
---|---|---|---|---|
1 | LUL | T2N2M0 | 18 | Sq. CC |
2 | RLL | T3N0M0 | 21 | Sq. CC |
3 | Bilateral | T4N2MX | 18 | Sq. CC |
4 | LLL | T2N1M0 | 21 | Adeno |
5 | RUL | T1N3M0 | 18 | Large CC |
6 | RLL | T2N2M0 | 18 | NOS |
7 | RUL | T3N2M1 | 18 | Adeno |
8 | RUL | T2N1M0 | 12 | Sq. CC |
9 | RUL | T2N2M0 | 15 | Sq. CC |
Abbreviations: LUL, left upper lobe; RLL, right lower lobe; LLL, left lower lobe; RUL, right upper lobe; Sq. CC, squamous cell carcinoma; Adeno, adenocarcinoma; NOS, not otherwise specified; GTV, gross tumor volume.
Active Breathing Coordinator
The Active Breathing Coordinator (Elekta, version 2.0) was used to maintain patient breath-hold. Subjects were initially coached to set individual levels of normal inspiration breath-hold for each patient and to familiarize them with the device. Breath-hold levels were set to approximately 80% of the normal tidal volume on inhalation (mean threshold volume = 0.84 ± 0.4 L). Breath-hold length was ~10-12 seconds, determined by the length of time required for helical CT scan acquisition.
CT image acquisition
CT acquisitions were performed on a multi-slice helical CT simulator (Brilliance Big Bore; Philips Medical Systems, Andover, MA). Once per week, either before or after radiation treatment, each patient received three successive CT scans while immobilized in the treatment position. Images were acquired under normal inspiration active breath hold at the threshold level determined in the initial coaching session. Patients were not repositioned between the three scans to enable an assessment of inter-breath hold reproducibility. All images were acquired with: 3 mm slice thickness and reconstructed with 2 mm slice thickness, pitch of 1.063, rotation time of 0.5 seconds, and collimator size of 16 × 1.5 cm. Over 4-7 imaging sessions, 12-21 helical CT scans were acquired per patient for a total of 159 breath-hold scans.
Contour delineation
All contours were delineated on the first ABC CT scan acquired. Using the clinical planning CT and PET-CT registered to the bony anatomy for guidance, the gross tumor volumes (GTV) were delineated by a physician. Only the primary tumors were delineated and analyzed as intravenous contrast was not used on a weekly basis to assist with nodal delineation. In addition, the right lung, left lung, and spinal cord were defined on the initial CT scan. For delineating the lungs and spinal cord, consideration was give nto ensure the organs spanned slices common to all weekly scan volumes. This prevented volumes from being drawn outside of the reconstructed volume on any scan. Contours were propagated to all other ABC-CTs using deformable image registration and automatic contour propagation as described in the next section.
Deformable Image Registration
All images were rigidly registered to the reference image (i.e. ABC session 1, CT scan 1) to align bony anatomy manually (Syntegra module of Pinnacle, Philips Medical Systems, Milpitas, CA). Intensity-based deformable image registration and semi-automatic contour propagation were implemented using in-house software previously described (19). This process generated displacement vectors for each image voxel that represented the 3D displacement between the reference and subsequent scan. A physician delineated the target and critical structures on the reference image, binary contour masks were created, and contours for the remaining ABC CTs were propagated using the displacement vectors. Contours were visually inspected by a physician for agreement with their corresponding image sets and adjusted as needed.
Intra- and Inter-fraction Analysis
For each patient, inter-breath hold reproducibility was calculated for each session and for the total course. For each session, the standard deviation of the tumor centroid was calculated over the three successive scans from the session. The root mean square over all sessions for a patient was calculated to provide the mean inter-breath hold reproducibility over the treatment course. The inter-breath hold reproducibility of the lung and spinal cord centroids were calculated similarly. Variation in inter-breath hold reproducibility from the start of the treatment course to the end was evaluated using an F-test. The daily mean position for each session was calculated as the mean position of the structure centroid over the three successive scans. To assess the per-patient systematic and random variability, the mean and standard deviation of this daily position over all sessions was calculated. The overall systematic (Σ) and random (σ) variability were computed for the study population to enable margin calculation.
Due to response-induced shape changes, GTV centroid may not represent the overall positional variation of the GTV. We evaluated the positional variation of the GTV borders. A bounding box was constructed surrounding the GTV on each image. The coordinates of the corners with the minimum and maximum positions were recorded (the minimum corner corresponded to the right, posterior, superior corner of the GTV and the maximum corner was the left, anterior, inferior corner). Following the described method for the GTV centroid, the mean and standard deviation of the bounding box corner positions were calculated for each patient and the population as a measure of inter-fraction variability of the GTV borders.
The maximum variability may not necessarily be aligned along one of the cardinal (L-R, A-P, S-I) axes. To quantify the magnitude of maximum interfraction random variability for each patient, a method similar to that described by Lotz et al. (20) was used. For each patient, principal components analysis of the 3D coordinates of the GTV centroid daily position was performed. The resulting first principal component was selected for each patient, and the standard deviation of the centroid position projected along the first principal component axis was calculated. This process was repeated for the minimum and maximum bounding box corner positions.
The daily GTV position may be influenced by changes in the GTV volume due to tumor response, pathological (distal collapse, atelectasis, pleural effusion, etc.) changes which change the lung volume, or differences in daily lung volume at breath hold. To determine the magnitude of these effects, univariate and multivariate analyses were conducted with GTV daily position as the dependent variable, and the GTV, ipsi- and contra-lateral lung volumes each as independent variables.
Changes in breathing pattern throughout radiotherapy may lead to changes in the breath hold lung volume. To assess this effect for the patient population, the tidal volume as measured with the ABC device during free-breathing between breath holds over all breathing sessions was tabulated. The change in mean daily tidal volume (during free-breathing only) was calculated for each patient for each session, in relation to that patient's first session mean daily tidal volume. The mean change (Mμ) and standard deviation (Σμ) of change in daily tidal volume was calculated for the study population. To indicate changes in breathing pattern shape, the mean (Mμ) and standard deviation (Σσ) were calculated based on the change in standard deviation of the daily tidal volume. The impact of tumor regression and time point in the treatment course on tidal volume was evaluated.
Margin Evaluation
A population margin (M) for the GTV centroid was generated using the following two-parameter population margin equation introduced in van Herk et al. (21):
(1) |
Here, Σ and σ are the standard deviation of the systematic and root mean square random error of GTV centroid for the patient population, respectively, while σp describes the width of penumbra in lung as modeled by a Gaussian (taken to be 6.4 mm as described in Sonke et al. (7)).
RESULTS
Intra-fraction Variability
Table 2 demonstrates the inter–breath hold GTV and lung reproducibility for the patient population over all imaging sessions. On average, the lung centroid positions had an inter-breath hold variability of 0.52, 0.98, and 1.98 mm in L-R, A-P, and S-I directions, respectively. Inter-breath hold (intrafraction) reproducibility of the GTV position was unaffected by time point in the treatment course in all directions, (F test, p > 0.1). For the spinal cord (results not shown), which is not expected to be affected by breath-hold, the inter-breath hold variability of the centroid was found to be 0.2 ± 0.2, 0.3 ± 0.2, and 1.0 ± 0.5 mm in L-R, A-P, and S-I directions, respectively.
Table 2.
Inter-breath hold variability (mm) | |||
---|---|---|---|
|
Mean +/− standard deviation (range) |
||
Structure | L-R | A-P | S-I |
GTV | 0.6 +/− 0.3 (0.1-1.0) | 1.0 +/− 0.5 (0.2-1.6) | 1.4 +/− 1.0 (0.3-1.8) |
Left Lung | 0.5 +/− 0.4 (0.1-1.5) | 1.0 +/− 0.7 (0.2-2.0) | 2.1 +/− 1.3 (0.5-4.1) |
Right Lung | 0.6 +/− 0.5 (0.2-1.6) | 1.0 +/− 0.6 (0.4-2.0) | 1.8 +/− 1.2 (0.7-3.8) |
Inter-fraction Variability
The inter-fraction variability in GTV centroid position (all directions) ranged from 3.6 (LR) to 6.7 (SI) mm for the systematic component and 3.1 to 3.9 mm for the random component (Table 3). The inter-fraction variability was most substantial in the superior to inferior direction. The population margin required to compensate for all variability in the GTV centroid for this population would be 8.6 mm, 9.4 mm, and 16.4 mm in the LR, AP, and SI directions, respectively.
Table 3.
GTV |
Left Lung |
Right Lung |
Spinal Cord |
|||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
L-R | A-P | S-I | L-R | A-P | S-I | L-R | A-P | S-I | L-R | A-P | S-I | |
Systematic Error (Σ) |
3.6 | 3.9 | 6.7 | 1.4 | 1.3 | 3.4 | 1.0 | 0.7 | 3.3 | 0.8 | 0.7 | 2.0 |
Random Error (σ) | 3.1 | 3.1 | 3.9 | 1.5 | 1.7 | 2.6 | 1.5 | 1.2 | 2.6 | 0.8 | 0.5 | 1.6 |
Abbreviations: L-R, A-P, and S-I represent left to right, anterior to posterior, and superior to inferior, respectively.
Table 4 shows the GTV border variability determined by bounding box analysis for the study population. The group means for the left and posterior borders are large due to Patients 4 and 7 having greater than 10 mm systematic errors for these borders. Generally, the border variation in the S-I direction was largest, although the border exhibiting maximum variability was highly patient-dependent. Table 5 shows the maximum variability of the bounding box corners and centroid oriented along the arbitrary axis of maximum variability. The largest variability in the group and the largest difference in variability between the bounding box corners was observed for Patients 4 and 7. These subjects also exhibited the most tumor volume regression during treatment.
Table 4.
Left | Right | Ant | Post | Sup | Inf | |
---|---|---|---|---|---|---|
Group Mean (M) | 2.8 | −0.7 | 0.8 | 4.5 | 0.7 | −0.1 |
Systematic Error (Σ) | 3.7 | 3.5 | 2.2 | 6.6 | 6.3 | 6.1 |
Random Error (σ) | 3.3 | 2.5 | 2.8 | 3.8 | 4.6 | 6.9 |
Abbreviations: Ant, Post, Sup, and Inf represent anterior, posterior, superior, and inferior tumor borders, respectively.
Table 5.
Patient | Minimum Box Corner | Centroid | Maximum Box Corner | RMS |
---|---|---|---|---|
1 | 2.8 | 3.5 | 2.5 | 3.6 |
2 | 4.4 | 2.5 | 3.2 | 4.3 |
3 | 7.9 | 4.9 | 2.3 | 6.8 |
4 | 7.6 | 8.8 | 17.4 | 14.8 |
5 | 1.1 | 1.0 | 0.9 | 1.2 |
6 | 3.8 | 5.6 | 14.7 | 11.4 |
7 | 14.7 | 9.2 | 5.2 | 12.8 |
8 | 2.3 | 2.2 | 1.8 | 2.6 |
9 | 2.3 | 2.0 | 2.5 | 2.8 |
Abbreviations: RMS = root mean square of minimum, centroid, and maximum positions.
Three patients (4, 6, and 7) had individual systematic displacements in GTV centroid greater than 5.0 mm relative to bone. Patient 4 exhibited a 13.5 mm centroid systematic error in the SI direction, with the daily tumor centroid becoming more superior as treatment progressed. The inferior tumor border systematic error was 16.0 mm, while the superior border systematic error was 4.2 mm. For this patient, non-uniform regression of the tumor volume manifested as a trend in tumor centroid during treatment (Figure 1). For all patients, tumor volume regressed an average of 44.6% (range: 16.7-81.3%) over the treatment course, with Figure 2 demonstrating weekly changes in GTV volume for all 9 patients. Both systematic and random inter-fraction GTV centroid variability were strongly associated with total tumor reduction over the treatment course (r2 = 0.74 and 0.58, respectively). The minimum and maximum bounding box positions were also associated (r2 = 0.51 and 0.61, respectively) with tumor reduction as well.
For both lungs combined, the inter-fraction variability of the daily centroid position ranged from 1.0 to 3.3 mm and 1.5 to 2.6 mm for systematic and random components, respectively. Figure 3 shows the average left lung volume throughout the treatment course for each patient. Similar results were obtained for the right lung volumes. The daily GTV centroid position in the superior-inferior direction was strongly correlated with those of the ipsilateral and contralateral lung for 6 of 9 patients studied (r2 = 0.51-0.98). The daily GTV centroid position was significantly associated with the contra-lateral lung volume for all patients (r2 = 0.44, p < 0.05), but not with ipsi-lateral lung volume (r2 = 0.02). A multivariate linear regression was computed with GTV daily centroid position as the dependent variable and daily contralateral lung volume and daily GTV volume as the independent variables over all patients. Both independent variables were significantly associated (p < 0.05) with the GTV daily position (r2 = 0.76).
Tidal Volume Changes
Over all patients’ 50 breathing traces (3 traces were not recorded due to operator error), the systematic baseline variation in tidal volume with respect to zero was marginal, although the variability in this measure was substantial (Mμ ± Σμ = 0.02 ± 0.16 L). On average, the pattern variation over all patients was not remarkable (Mσ ± Σμ = 0.02 ± 0.06 L). Increasing mean daily tidal volume as significantly associated with an increase in the ipsilateral lung volume (r2 = 0.58, p < 0.05). A two-tailed t-test between mean tidal volume of the first and last breathing sessions revealed no significant difference caused by timepoint in the treatment course (p = 0.84). For 4 patients, mean tidal volume was found to be strongly associated with tumor reduction (r2 = 0.7-0.9). One patient showed a higher mean daily tidal volume (0.14 ± 0.06 L) than the population average, with mean daily tidal volume increasing with each fraction (r2 = 0.7) (Figure 4).
DISCUSSION
This study was designed to evaluate the inter- and intra-fraction variability of tumor and lung position and volume during a hybrid breath-hold gating technique throughout radiation therapy. Inter-breath reproducibility in GTV and lung volumes better than 2.0 mm on average was observed with our hybrid breath-hold gating approach. Inter-fraction variability of GTV position in relation to bony anatomy under breath-hold was substantial. Inter-fraction variability of the lung was a substantial contributor. Increasing daily tidal volume was associated with increasing ipsilateral lung volume at breath-hold, although the relative breath-hold threshold was held at the same lung volume throughout treatment. Possibly, changes in tidal volume also influence functional residual capacity, that most likely explain the interfraction variation in lung volume. The ABC device uses functional residual capacity as a baseline for setting the breath hold volume, hence variations in functional residual capacity will manifest as changes in the breath hold lung volume. Notably, the daily tumor positions were strongly correlated with both the ipsilateral and contralateral lung positions in 67% of the patients studied. For the population, the tumor position was only significantly associated with contralateral lung volume. Pathological change, including atelectasis and pleural effusion, was observed in three patients in the ipsilateral lung. One patient also exhibited fluid accumulation in both lungs over the treatment course due to pneumonia. Changes in lung volume due to pathological changes may or may not impact the GTV position, depending on the severity and location. However, changes in healthy contralateral lung volume are most likely due to differences in the breath-hold lung volume, which directly impacted the GTV position. Online target-based image guidance is the suggested method to mitigate this effect. Because both the systematic inter-fraction GTV positional variability and daily GTV position were strongly associated with tumor reduction, a substantial portion of inter-fraction variation can likely be attributed to tumor response. The variability of the tumor borders observed here demonstrates that lung tumor volume regression is non-uniform about the original centroid. The geometry of the change in gross tumor volume is likely a function of a large number of parameters including the dose distribution, mass effect of the tumor on surrounding normal anatomy, and presence of necrotic tissue, among others. Caution should be taken when performing target-based localization in the presence of substantial non-uniform tumor volume regression, as it is unknown how the effect will impact the quality of the planned dose distribution as well as coverage of residual microscopic extension of disease.
Cheung et al. evaluated the reproducibility of lung tumor position with ABC and found the average GTV displacement was better than 1.1 mm over the first five days of treatment (13). Kashani et al. investigated the intra- and inter-fraction variability of lung tumor position under breath-hold before the start of treatment, at 40%, and 80% of the prescribed total dose (12). Results of the current study were consistent, although with the added value of longitudinal data throughout the treatment course.
Systematic baseline variation in tidal volume was not significant for the population, although specific subjects had variations up to ~10% of the average volume threshold implemented for breath-hold (0.84 L). One patient had a higher mean daily tidal volume as his treatment progressed. Further investigation revealed increased fluid accumulation in the affected lung (pleural effusion) throughout treatment, presumably instigating breathing pattern changes (Figure 4). While the ipsilateral lung could not be evaluated due to the presence of fluid (and hence, lung volume changes not necessarily attributable to breath-hold), a strong correlation (r2 = 0.93) was observed between the patient's daily GTV centroid position and the contralateral lung. This suggests the need to exercise caution in the implementation of ABC when pathological changes, such as pleural effusion or atelectasis, occur as these may impact target localization or fidelity of the planned dose distribution. Image-guided adaptive radiotherapy techniques will be required to address tumor volume change as well as these other pathological changes during therapy.
Similar to the current study, large systematic errors were observed in several patients by both Panakis et al.(14) and Sarrut et al. (9) The authors independently postulated that these large errors were due to tumor response or pathological changes during treatment. Errors were calculated across only two scans during treatment (in addition to a reference scan), so trends could not be assessed. In the current study, we were able to determine the trending of GTV position error due to the higher frequency of imaging. The drift in tumor position over the treatment course observed here limits the utility of the concept of systematic and random error for margin calculation (which relies on the assumption of a random, stationary process). Furthermore, the large variation in GTV position error among patients suggests that a single population margin is not the optimal solution for this cohort of patients. Patient-specific techniques such as image-guided and/or image-guided adaptive radiotherapy are warranted to reduce the margin requirement and to compensate for the non-stationary GTV position during treatment. However, the efficient implementation of online image-guidance for breath-hold of lung cancer patients is still under development (22).
Patient compliance has been suggested as a limitation in active breath-hold radiotherapy of the lung, however statistical comparisons in both GTV positional variability and mean tidal volume between first and last imaging sessions revealed insignificant differences. These results support the implementation of a hybrid breath-hold gating technique throughout lung cancer treatment, particularly late in the treatment course, where patient performance and breathing stability may be affected.
The current study has several limitations that may impact the results. Five of the nine patients had upper lobe tumors, which may result in lower mobility and overall lower variability, at least for free-breathing patients (7). In breath hold patients, it is not clear that the variability would trend similarly as for free-breathing patients, due to the different mechanics of breath hold. Furthermore, it is not known whether tumor regression is associated with tumor location, and tumor regression was a substantial contributor to the variability in this study. Subgroup analysis in a larger cohort is underway to evaluate tumor location effects. Delineation was performed to achieve the highest precision possible through assistance by deformable image registration and careful review by a physician. However, delineation error most likely remains a contributor to the total error burden in our study. Our findings for the spinal cord (<1 mm inter-breath hold variability) demonstrate that minimal systematic error was introduced through in the delineation and structure propagation process, thus adding confidence in our approach. However, the error level for other structures was not be quantified.
CONCLUSION
Intrafraction breath-hold reproducibility better than 2 mm was observed for the hybrid active breath hold gating technique, although inter-fraction variability of GTV position was substantial, mainly due to tumor regression and changes in breath-hold lung volume over treatment. These results support the implementation of a hybrid active breath-hold gating technique for lung cancer treatment, particularly late in the treatment course, where patient performance and breathing stability may be affected. However, the necessity of image-guided adaptive radiotherapy techniques must be emphasized to reduce target margins and reduce the impact of tumor regression on tumor stability under breath-hold.
ACKNOWLEDGMENTS
The authors would like to thank Tiezhi Zhang, PhD for assistance with deformable registration. The authors would also like to thank Ana Paula Galerani, M.D. and Samuel McGrath, M.D. for contouring assistance and consultation. Supported in part by National Cancer Institute Grant R01CA116249.
Footnotes
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Conflict of interest: William Beaumont Hospital holds a research agreement with Elekta Oncology Systems.
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