- Open Access
Robotic-based carbon ion therapy and patient positioning in 6 degrees of freedom: setup accuracy of two standard immobilization devices used in carbon ion therapy and IMRT
- Alexandra D Jensen†1Email author,
- Marcus Winter†2,
- Sabine P Kuhn1,
- Jürgen Debus1,
- Olaf Nairz†2 and
- Marc W Münter†1
© Jensen et al; licensee BioMed Central Ltd. 2012
- Received: 15 January 2012
- Accepted: 29 March 2012
- Published: 29 March 2012
To investigate repositioning accuracy in particle radiotherapy in 6 degrees of freedom (DOF) and intensity-modulated radiotherapy (IMRT, 3 DOF) for two immobilization devices (Scotchcast masks vs thermoplastic head masks) currently in use at our institution for fractionated radiation therapy in head and neck cancer patients.
Methods and materials
Position verifications in patients treated with carbon ion therapy and IMRT for head and neck malignancies were evaluated. Most patients received combined treatment regimen (IMRT plus carbon ion boost), immobilization was achieved with either Scotchcast or thermoplastic head masks. Position corrections in robotic-based carbon ion therapy allowing 6 DOF were compared to IMRT allowing corrections in 3 DOF for two standard immobilization devices. In total, 838 set-up controls of 38 patients were analyzed.
Robotic-based position correction including correction of rotations was well tolerated and without discomfort. Standard deviations of translational components were between 0.5 and 0.8 mm for Scotchcast and 0.7 and 1.3 mm for thermoplastic masks in 6 DOF and 1.2 - 1.4 mm and 1.0 - 1.1 mm in 3 DOF respectively. Mean overall displacement vectors were between 2.1 mm (Scotchcast) and 2.9 mm (thermoplastic masks) in 6 DOF and 3.9 - 3.0 mm in 3 DOF respectively. Displacement vectors were lower when correction in 6 DOF was allowed as opposed to 3 DOF only, which was maintained at the traditional action level of > 3 mm for position correction in the pre-on-board imaging era.
Setup accuracy for both systems was within the expected range. Smaller shifts were required when 6 DOF were available for correction as opposed to 3 DOF. Where highest possible positioning accuracy is required, frequent image guidance is mandatory to achieve best possible plan delivery and maintenance of sharp gradients and optimal normal tissue sparing inherent in carbon ion therapy.
- Immobilization Device
- Particle Therapy
- Thermoplastic Mask
- Position Verification
- Isocentre Position
High-precision radiotherapy has raised the interest in positioning systems allowing patient positioning in more than three degrees of freedom (3DOF). Initial investigations have been carried out using the automated HexaPOD in combination with MV-cone-beam CT online correction [1, 2], and some particle therapy centers have reported experiences with robotic-based treatment tables also enabling positioning in six degrees of freedom (6 DOF) [3, 4]. In high-precision techniques and even more so in particle therapy, higher degrees of freedom offer various advantages over standard treatment tables. First, 6 DOF allow higher flexibility in treatment planning and choice of beam angles particularly in treatments with fixed beam lines. Second, patient positioning is a crucial issue in particle therapy due to the highly conformal dose distributions obtained by scanned particle beams. Integrity of planned dose distributions largely depends on set-up accuracy and reproducibility of patient position; hence set-up variations may cause considerable range uncertainties. Image guidance and subsequent position correction in 6 DOF promise further optimization of patient positioning as opposed to 3 DOF. Third, it may also be a valuable tool once tracking of moving targets finds clinical application in particle therapy.
Traditionally, various immobilization devices for fractionated radiotherapy have been tested with regard to their repositioning accuracy. Mouthpiece- or bite-plate-based masks yield precisions of 0.5 - 1 mm [5, 6]. Albeit highly precise, these masks are less feasible for patients with head and neck malignancies faced with the often times poor dental status and increasing discomfort caused by radiation-induced mucositis. Hence, the most widely used, non-invasive immobilization devices include thermoplastic material either with or without shoulder fixation yielding a repositioning accuracy of between 0.9 mm and 3.4 mm [7–16]. However, Scotchcast custom-made solutions are sometimes used and showed comparatively small set-up errors of 1.8 mm for intracranial targets  and 3.1 - 5.7 mm for extracranial targets within the head and neck depending on isocentre localization [18, 19]. The remaining set-up uncertainties demand an increasing use of image guidance. Results of Zeidan et al  could demonstrate residual setup errors in fractionated RT to decrease as frequencies of image guidance increases. As a consequence especially for techniques mandating the highest possible level of positioning accuracy such as particle therapy, frequent image guidance is compulsory.
The Heidelberg Ion Therapy center (HIT) is equipped with both a robotic table and robotic C-arm in both horizontal treatment rooms. The purpose of this study was to investigate interfractional positioning accuracy when position correction in 6 DOF is allowed (using the robotic table in particle therapy) compared to standard position correction in 3 DOF with a standard treatment table as used in intensity-modulated radiotherapy (IMRT). In addition, two immobilization devices currently used for fractionated radiation therapy of head and neck cancer patients at our institution were evaluated in this setting.
Position controls of radiotherapy treatment in patients undergoing either combined IMRT plus carbon ion boost or C12 only for head and neck cancer were collected and analyzed. Most patients were treated for malignant salivary gland tumors (MSGT); this series however, also includes malignant melanoma and paranasal sinus malignancies. The majority of patients underwent combined treatment protocols (IMRT plus carbon ion boost) as a primary treatment, a few patients received carbon ion therapy only for re-irradiation. For this analysis, 38 patients (median age: 56 years [range 23 - 78 years]) with a total of 838 individual setup controls (308 in 6 DOF, 530 in 3 DOF) were evaluated for the treatment period from 11/2009 to 07/2010.
carbon ion therapy
18 - 24.4
39 - 51
adenoid cystic carcinoma
thermoplastic head mask
number of position controls
The Scotchcast head mask uses self-hardening bandages (Scotchcast, Scotch Flex, 3 M Co), which fix the patient to the stereotactic base frame. This system was developed in-house but can be commercially obtained through Leibinger®.
The thermoplastic head mask including shoulder fixation consists of a new thermoplastic material, which can be individually modeled to the patient's shape but uses a standard head-rest and table fixation for all patients (HeadSTEP®, IT-V). Twenty patients in this cohort were immobilized with Scotchcast masks, 18 patients with thermoplastic head masks and shoulder fixation.
Imaging for radiation treatment planning includes CT in above-mentioned set-up at 3 mm slices as well as contrast-enhanced MRI for 3D correlation and target delineation.
Radiotherapy and target volumes/dose prescription
Carbon ion therapy was delivered with a horizontal beam line in active beam application/raster scanning technique  at the Heidelberg Ion Therapy Centre (HIT), IMRT was delivered at the Dept. of Radiation Oncology Heidelberg. Isocentre localization was performed in a virtual setup: the respective reference points were marked on the immobilization devices and identified on the planning scan by 3 Beekly spots. For the Scotchcast masks, the treatment isocentre was localized stereotactically. The displacement vector was calculated based on CT-coordinates for thermoplastic head masks and based on stereotactic registration in Scotchcast masks.
CTV1 (carbon ion boost) included the macroscopic tumor/prior tumor bed. Twenty-four GyRBE carbon ions are prescribed to the CTV1 in 3 GyRBE/fraction (5 fractions per week) (coverage: 95% prescription isodose). CTV2 includes CTV1 with safety margins along typical pathways of spread. In malignant salivary gland tumors, ipsilateral nodal levels (II and III) were included, additional nodal levels were covered as indicated.
Treatment isocentres for carbon ion therapy were chosen at geometrical centre of the respective CTV1 (mostly in the paranasal sinuses), treatment isocentre for IMRT (CTV2) were chosen close to the isocentre of CTV1.
Fifty Gy IMRT (inversely planned step-and-shoot technique) in 25 fractions (5 fractions per week) were prescribed to the CTV2 (coverage at least with the 90% prescription isodose) taking into account doses applied by image guidance with MV-cone-beam CT.
In the combined treatments (IMRT + C12-boost), patients received carbon ion treatment as an upfront boost before undergoing IMRT.
Carbon ion therapy: 6 degrees of freedom (6 DOF)
The robotic-based treatment table allows patient positioning in 6 DOF. Mean radial positioning accuracy was measured to be below 0.2 mm ± 0.2 mm standard deviation for the target positions of the investigated patients. Correction of rotational errors with the robotic table is limited to a maximum of 5 degrees in patient-mode. The robot-mounted C-arm allows position verification in almost all treatment positions with a mean radial positioning accuracy of 0.2 mm ± 0.1 mm standard deviation.
IMRT: 3 degrees of freedom (3 DOF)
Applied correction vectors of each position verification were analyzed for each patient. Interfractional positioning accuracy was defined as isocentre displacement (position control) according to Bentel et al. .
Mean/median values were calculated for 3 and 6 DOF for every patient. Lateral is defined as right to left, longitudinal as cranial to caudal, and vertical as ventral to dorsal, whereas "iso" defines the rotation around the vertical axis, "pitch" rotation around the lateral axis, and "roll" around the longitudinal axis (Figure 3).
The displacement vector was calculated for each treatment by (, with x, y and z substituted for lateral, longitudinal and vertical shifts, respectively); also the mean and standard deviation of displacement vectors were calculated for each patient. As only isocentre shifts are considered, rotations do not contribute to the displacement vector regarding the isocentre position. Extension of target volumes and therefore isocentre positions were similar in all patients.
Positioning accuracy as defined above was evaluated for the two immobilization devices and 6 DOF vs. 3 DOF positioning correction by comparison of median translations/rotations as well as overall displacement vectors of isocentre shifts.
In order to compare random errors between the two immobilization systems, the following analysis was performed for all degrees of freedom: random errors for each patient were obtained by subtraction of the mean displacement for all setup controls of the respective patient. The random error is a measure of reproducibility of the immobilization device used . Subsequently, the standard deviation σc of this centered data set (including all set-up controls) was calculated. This is equivalent to calculating the root mean square of all patient random errors.
Calculations and statistical analyses were performed using the calculation tool and parametric tests of Addinsoft xlstat 2011.
838 position controls (308 in 6 DOF, 530 in 3 DOF) in 38 patients were evaluated. Most patients were treated for malignant salivary gland neoplasms, treatment isocentres were all located in the head (mostly the paranasal sinuses) though target volumes for subsequent IMRT-treatments did extend to the nodal neck levels II-III. Position verification including position correction and manual adjustment added approximately 10-15 min to the total treatment time in carbon ion therapy. Corrective table rotations in pitch and roll went up to 4.4° and were generally not perceived as uncomfortable.
Absolute overall translational and rotational corrections for each degree of freedom ranged from -3.1 mm to 4.8 mm and -2.6° to 2.4° for Scotchcast masks and from -6.1 mm to 5.3 mm and -3.2° and 4.4° for thermoplastic masks in position corrections allowing 6 DOF. Translational shifts in 3 DOF ranged between -9 mm and 9 mm for Scotchcast masks and between - 7 mm and 7 mm for thermoplastic masks.
Corrections in 3 and 6 DOF; σc: centered standard deviation
corrections in 6 DOF
Scotchcast head mask
thermoplastic head mask
overall displacement vector (mm)
corrections in 3 DOF
Scotchcast head mask
thermoplastic head mask
overall displacement vector (mm)
In 6 DOF position corrections, centered standard deviations were slightly higher in patients with thermoplastic masks reaching statistical significance in the lateral and longitudinal component. In 3 DOF centered standard deviations showed statistically significant differences for the lateral and longitudinal components.
The corresponding mean overall displacement vectors were calculated to 2.1 mm (Scotchcast) and 2.55 mm (thermoplastic) in 6 DOF and 3.48 mm (Scotchcast masks) and 3.02 mm (thermoplastic) in 3 DOF. Differences between Scotchcast and thermoplastic masks were statistically significant (p < 0.001) in corrections allowing 6 DOF, but not in standard systems allowing 3 DOF (Table 2). Patients immobilized in Scotchcast masks however, did not differ in their baseline characteristics (i.e. with respect to age at radiotherapy) from patients immobilized in thermoplastic masks. There was a significant difference though in the number of position controls between 6 DOF and 3 DOF (p < 0.001).
> 3 mm (component)
> 3 mm (radial vector)
Isocentre shifts of approximately 1 to 4 mm in this patient cohort representing set-up accuracy are within the expected range of extracranial targets in the head and neck [4, 9, 11–16, 18, 19, 24]. Higher precision for the Scotchcast or thermoplastic systems have been reported before [15, 17, 24], however it needs to be mentioned that mostly intracranial targets were evaluated in systems allowing position correction in 3DOF. Treatment of extracranial targets with these immobilization systems has been investigated resulting in less accurate positioning of more distal as compared to intracranial targets [18, 19]. This is supported by the clinicians' experience in everyday clinical routine in the conventional radiotherapy.
Reproducibility of fixation devices can be analyzed by evaluation of standard deviations of respective set-up corrections. In our cohort, this was evaluated by the root mean square of all patients' standard deviations or the centered distributions as described above.
In view of the higher rigidity of Scotchcast masks as opposed to thermoplastic head masks, higher reproducibility of the Scotchcast immobilization would initially be expected. This is supported by our data for 3 and 6 DOF except for the vertical component. The Scotchcast mask's rigid shell does not seem to allow significant motion in both the vertical and lateral direction but does allow some motion in the longitudinal direction. Thermoplastic head masks on the other hand immobilize the patient between headrest and thermoplastic layer with very little motion in the vertical direction. Less restriction apparently occurs in the lateral and longitudinal direction.
Scotchcast and thermoplastic (including shoulder fixation) masks were shown to immobilize head and neck cancer patients equally well if considering 3 DOF position correction only. Higher discrepancies were found when comparing these systems in 6 DOF. While these statistically significant differences could not be attributed to the patients' age distribution in the two immobilization groups, overall differences (Scotchcast and thermoplastic immobilization) were higher in the 3 DOF position correction versus 6 DOF which is supported by Spadea et al .
This difference was maintained presuming our traditional action level of 3 mm in fractionated head and neck treatments. Albeit isocentre localization was similar in 3 DOF and 6 DOF, target volumes usually extended more caudally in the 3 DOF (IMRT) as compared to 6 DOF (C12). Therapists had to consider adequate target position over a higher volume therefore making the best possible compromise for positioning while only the more cranial part (CTV1) of the CTV2 had to be considered in carbon ion therapy.
We are aware different imaging modalities were used for position verification in 3 DOF (MV-CBCT) as opposed to 6 DOF (orthogonal x-rays). However, various investigations have already been carried out addressing the issue of imaging modality for position verification suggesting orthogonal x-rays to be equivalent to CBCT for the determination of setup errors [2, 15].
Also, we have analyzed significantly higher numbers of position checks in 3 DOF than in 6 DOF. This however, is due to the nature of our treatment regimen applying mostly 8 fractions of carbon ion therapy followed by approximately 25 fractions of IMRT for reported indications in head and neck malignancies.
The Scotchcast mask was shown to require lower absolute interfractional set-up corrections; hence, this fixation system appears superior for lesions in the vicinity of small critical structures such as optic nerves or the optic chiasm where the highest possible reproducibility is required.
In a rigid body setup such as our head and neck patients, optimal translational corrections were found to be dependent on whether or not rotations were included in the registration and position correction . In standard treatments, where treatment tables commonly only allow corrections in 3 DOF without rotation correction capability, optimal corrections for translational shifts are dependent on registration landmarks. Therefore, it is recommended in rigid registrations to choose landmarks approximately coincident with the treatment site. Hence, when our therapists need to match the more extensive target volumes for IMRT following carbon ion treatment, compromises need to be made at the cranial/caudal edge of the target. Our findings practically illustrate these theoretical considerations of Murphy .
Both fixation devices guarantee high reproducibility for patients with head and neck malignancies. Thermoplastic head masks including shoulder fixation also provide very good repositioning accuracy with additional immobilization the lower neck and presumably higher patient comfort. Scotchcast masks require lower interfractional set-up corrections though; therefore these are preferred if the highest possible reproducibility needs to be achieved.
While we have seen small expected repositioning errors in both of our mask systems, 6 DOF position verification reveals smaller positioning errors than 3 DOF. Radiation treatments requiring high positioning accuracy, image guidance still seems to be mandatory at each fraction in both systems to achieve best possible plan delivery and maintain optimal normal tissue sparing in particle therapy. If considering to define action levels for position correction, the overall displacement vector seems to be a more appropriate measure than the maximum translational error.
This, to our knowledge, is the first report directly comparing 6 DOF and 3 DOF position correction in a cohort of head and neck cancer patients for two commonly used immobilization systems.
We would like to thank Mrs Lossner for her help in producing and revising the manuscript.
- Meyer J, Wilbert J, Baier K, Guckenberger M, Richter A, Sauer O, Flentje M: Positioning accuracy of cone-beam computed tomography in combination with a HexaPOD robot treatment table. Int J Radiat Oncol Biol Phys 2007, 67: 1220-1228. 10.1016/j.ijrobp.2006.11.010View ArticlePubMedGoogle Scholar
- Guckenberger M, Meyer J, Vordermark D, Baier K, Wilbert J, Flentje M: Magnitude and clinical relevance of translational and rotational patient setup errors: a cone-beam CT study. Int J Radiat Oncol Biol Phys 2006, 65: 934-942. 10.1016/j.ijrobp.2006.02.019View ArticlePubMedGoogle Scholar
- Allgower CE, Schreuder AN, Farr JB, Mascia AE: Experiences with an application of industrial robotics for accurate patient positioning in proton radiotherapy. Int J Med Robotics Comput Assist Surg 2007, 3: 72. 10.1002/rcs.128View ArticleGoogle Scholar
- Engelsman M, Rosenthal SJ, Michaud SL, Adams JA, Schneider RJ, Bradley SG, Flanz JB, Kooy HM: Intra- and interfractional patient motion for a variety of immobilization devices. Med Phys 2005, 32: 3468-3474. 10.1118/1.2089507View ArticlePubMedGoogle Scholar
- Kassaee A, Das IJ, Tochner Z, Rosenthal DI: Modification of Gill-Thomas-Cosman frame for extracranial head-and-neck stereotactic radiotherapy. Int J Radiat Oncol Biol Phys 2003, 57: 1192-1195. 10.1016/S0360-3016(03)00774-0View ArticlePubMedGoogle Scholar
- Sweeney RA, Bale R, Auberger T, Vogele M, Foerster S, Nevinny-Stickel M, Lukas P: A Simple and non-invasive vacuum mouthpiece-based head fixation system for high-precision radiotherapy. Strahlenther Onkol 2001, 177: 43-47. 10.1007/PL00002357View ArticlePubMedGoogle Scholar
- Han C, Radnay EH, Schultheiss TE: Evaluation of rotational and translational setup variations for brain tumor patients with mask immobilization system. Int J Radiat Oncol Biol Phys 2009, 75: S594. abstr. # 2921View ArticleGoogle Scholar
- Houweling AC, van der Meer S, van der Wal E, Terhaard CH, Raaijmakers CP: Improved immbilization using an individual head support in head-and-neck cancer patients. Radiother Oncol 2010, 96: 100. 10.1016/j.radonc.2010.04.014View ArticlePubMedGoogle Scholar
- Gilbeau L, Octave-Prignot M, Loncol T, Renard L, Scalliet P, Grégoire V: Comparison of setup accuracy of three different thermoplastic masks fort he treatment of brain and head and neck tumors. Radiother Oncol 2001, 58: 155-162. 10.1016/S0167-8140(00)00280-2View ArticlePubMedGoogle Scholar
- Humphreys M, Guerrero-Urbano MT, Mubata C, Miles E, Harrington KJ, Bidmead M, Nutting CM: Assessment of a customised immobilisation system for head and neck IMRT using electronic portal imaging. Radiother Oncol 2005, 77: 39-44. 10.1016/j.radonc.2005.06.039View ArticlePubMedGoogle Scholar
- Fuss M, Salter BJ, Cheek D, Sadeghi A, Hevezi JM, Herman TS: Repositioning accuracy of a commercially available thermoplastic mask system. Radiother Oncol 2004, 71: 339-345. 10.1016/j.radonc.2004.03.003View ArticlePubMedGoogle Scholar
- Van Kranen S, van Beek S, Rasch Cvan Herk M, Sonke JJ: Setup uncertainties of anatomical sub-regions in head-and-neck cancer patients after offline CBCT guidance. Int J Radiat Oncol Biol Phys 2009, 73: 1566-1573. 10.1016/j.ijrobp.2008.11.035View ArticlePubMedGoogle Scholar
- Velec M, Waldron JN, O'Sullivan B, Bayley A, Cummings B, Kim JJ, Ringash J, Breen SL, Lockwood GA, Dawson LA: Cone-beam CT assessment of interfraction and intrafraction setup error of two head-and-neck cancer thermoplastic masks. Int J Radiat Oncol Biol Phys 2010, 76: 949-955. 10.1016/j.ijrobp.2009.07.004View ArticlePubMedGoogle Scholar
- Pehlivan B, Pichenot C, Castaing M, Auperin A, Lefkopoulos D, Arriagada R, Bourhis J: Interfractional set-up errors evaluation by daily electronic prtal imaging of IMRT in head and neck cancer patients. Acta Oncol 2009, 48: 440-445. 10.1080/02841860802400610View ArticlePubMedGoogle Scholar
- Li H, Zhu XR, Zhang L, Dong L, Tung S, Ahamad A, Chao KS, Morrison WH, Rosenthal DI, Schwartz DL, Mohan R, Garden AS: Comparison of 2D radiographic images and 3D cone beam computed tomography for positioning head-and-neck radiotherapy patients. Int J Radiat Oncol Biol Phys 2008, 71: 916-925. 10.1016/j.ijrobp.2008.01.008View ArticlePubMedGoogle Scholar
- Han C, Radnay EH, Schultheiss TE, Wong JYC: Evaluation of rotational and translational setup variations for brain tumor patients with mask immobilization system. Int J Radiat Oncol Biol Phys 2009, 75: S594. abstr. # 2921View ArticleGoogle Scholar
- Karger CP, Jäkel O, Debus J, Kuhn S, Hartmann GH: Three-dimensional accuracy and interfractional reproducibility of patient fixation and positioning using a stereotactic head mask system. Int J Radiat Oncol Biol Phys 2001, 49: 1493-1504. 10.1016/S0360-3016(00)01562-5View ArticlePubMedGoogle Scholar
- Boda-Heggemann J, Walter C, Rahn A, Wertz H, Loeb I, Lohr F, Wenz F: Repositioning accuracy of two different mask systems - 3D revisited: comparison using true 3D/3D matching with cone-beam CT. Int J Radiat Oncol Biol Phys 2006, 66: 1568-1575. 10.1016/j.ijrobp.2006.08.054View ArticlePubMedGoogle Scholar
- Rotondo RL, Sultanem K, Lavoie I, Skelly J, Raymond L: Comparison of repositioning accuracy of two commercially available immobilization systems for treatment of head-and-neck tumors using simulation computed tomography imaging. Int J Radiat Oncol Biol Phys 2008, 70: 1389-1396. 10.1016/j.ijrobp.2007.08.035View ArticlePubMedGoogle Scholar
- Zeidan OA, Langen KM, Meeks SL, Manon RR, Wagner TH, Willoughby TR, Jenkins DW, Kupelian PA: Evaluation of image-guidance protocols in the treatment of head and neck cancers. Int J Radiat Oncol Biol Phys 2007, 67: 670-677. 10.1016/j.ijrobp.2006.09.040View ArticlePubMedGoogle Scholar
- Haberer T, Becher W, Schardt D, Kraft G: Magnetic scanning system for heavy ion therapy. Nucl Instr Meth Phys Res 1993, 330: 296-305. 10.1016/0168-9002(93)91335-KView ArticleGoogle Scholar
- Bentel GC, Marks LB, Hendren K, Brizel DM: Comparison of two head and neck immobilization devices. Int J Radiat Oncol Biol Phys 1997, 38: 867-873. 10.1016/S0360-3016(97)00075-8View ArticlePubMedGoogle Scholar
- Van Herk M: Errors and margins in radiotherapy. Semin Radiat Oncol 2004, 14: 52-64. 10.1053/j.semradonc.2003.10.003View ArticlePubMedGoogle Scholar
- Hurkmans CW, Remeijer P, Lebesque JV, Mijnheer BJ: Set-up verification using portal imaging: review of current clinical practice. Radiother Oncol 2001, 58: 105-120. 10.1016/S0167-8140(00)00260-7View ArticlePubMedGoogle Scholar
- Spadea MF, Baroni G, Riboldi M, Luraschi R, Tagaste B, Garibaldi C, Catalano G, Orecchia R, Pedotti A: Benefits of six degrees of freedom for optically driven patient set-up corrections in SBRT. Technol Cancer res Treat 2008, 7: 187-195.View ArticlePubMedGoogle Scholar
- Murphy MJ: Image-guided patient positioning: if one cannot correct for rotational offsets in external-beam radiotherapy setup, how should rotational offsets be managed? Med Phys 2007, 34: 1880-1883. 10.1118/1.2731485View ArticlePubMedGoogle Scholar
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