Introduction
Radiotherapy treatment techniques have been highly developed to maximize the benefits of cancer treatment. The main goal of curative treatment is to control the disease and reduce the complications to organs at risk (OARs), especially in stereotactic radiosurgery (SRS) or stereotactic ablative radiotherapy (SABR) (also known as stereotactic body radiotherapy, SBRT). High-precision treatment techniques are such as intensity-modulated radiation therapy Reference Yenice, Narayana, Ghang, Gutin and Amols1,Reference Oh, Kang, Kim and Yea2 (IMRT), volumetric-modulated arc therapy Reference Oh, Kang, Kim and Yea2–Reference Watcharawipha, Chakrabandhu, Kongsa, Tippanya and Chitapanarux4 (VMAT), helical tomotherapy Reference Watcharawipha, Chakrabandhu, Kongsa, Tippanya and Chitapanarux4–Reference Saw, Gillette, Peters and Koutcher6 (HT), CyberKnife®Reference Manabe, Murai and Ogino7–Reference Tawfik, Farid, El Shahat, Hussein, Eldib and Etreby9 and so forth.
Due to the requirement for high precision and accuracy in SRS/SABR, it is essential to keep the target as stable as possible. External immobilization devices are used for motion fixation, but internal organ motion cannot be controlled voluntarily. Therefore, the American Association of Physicists in Medicine (AAPM) released the report number 91 10 on motion management in the respiratory system. Real-time motion tracking (RTMT) is an advanced motion management process that has been installed in some treatment machines such as HT and CyberKnife®. This system adjusts the beam direction to track the target motion during radiation delivery, ensuring the accuracy of target tracking and dose delivery, as confirmed by several publications. Reference Sumida, Shiomi and Higashinaka11–Reference Schnarr, Beneke and Casey13 Although the RTMT treatment technique provided the benefits of target dose escalation and minimized the normal tissue dose at the treatment area. 10,Reference Dhont, Harden, Chee, Aitken, Hanna and Bertholet14 An issue of the dose in surrounding area may receive a dose different from the treatment planning because of the target motion. During the target irradiated treatment tracking, the normal tissue in the surrounding area may not have a motion corresponding to the target. This area could receive the radiation dose by sweeping the radiation beam. Therefore, Ferris et al. investigated the normal organ dose by using the RTMT treatment technique. Reference Ferris, Chao, Smilowitz, Kimple, Bayouth and Culberson15 They found the dose difference (DD) at the surrounding organ up to 39·1% for the heart. However, the study utilized the feasibility of the deformable image registration in 4-dimensional computed tomography (4DCT) for the DD observation. Moreover, the motions of the target were simulated. This could not be represented in the clinical respiratory cycle.
Measuring the surrounding dose often requires experimental verification of the DD between static and moving beam delivery. Dose measurement using film is a common method for planar dose measurement, Reference Niroomand-Rad, Blackwell and Coursey16,Reference Casanova Borca, Pasquino and Russo17 but its uncertainty can increase, Reference Bouchard, Lacroix, Beaudoin, Carrier and Kawrakow18,Reference Akdeniz19 particularly at low radiation doses. Two-dimensional array detectors may offer a more advantageous approach for dose measurement in this context. Reference Buonamici, Compagnucci, Marrazzo, Russo and Bucciolini20–Reference Létourneau, Gulam, Yan, Oldham and Wong22 Given the need to measure the surrounding dose, the detector’s position is critical. A helical array detector may thus be suitable for this task. This study then investigated the surrounding dose area using two-dimensional helical array detectors placed on the near surface of the phantom. The study utilized the clinical respiratory motion for the target driven by a one-dimensional dynamic platform. The DD was compared between static target motion and moving target motion and expressed as the frequency of percent DD levels. Finally, the correlation was analysed using statistical correlation analysis between the frequency of percent DD levels and treatment characteristics.
Materials and Methods
Ethical clearance
This retrospective study enrolled SABR treatment plans with a single lesion of lung cancer. Seven treatment plans were randomly selected from the clinical treatment planning data of patients treated between January and December 2024. Additional treatment information, clinical respiratory cycles, was randomly obtained from a patient requiring thoracic treatment between January and February 2025. This study protocol was approved by the Research Ethics Committee of Faculty of Medicine, Chiang Mai University (Study code: RAD-2567-0221).
Patient-specific quality assurance treatment planning preparation
The selected treatment plans of seven patients were generated using the treatment plan of patient-specific quality assurance (PSQA). The computed tomography (CT) image set of ArcCHECK® (Sun Nuclear Co., FL, USA) was acquired by a CT simulator (SOMATOM Definition AS, Siemens Inc., Healthineers, Germany) with a 1 mm slice thickness, and the PSQA plan was conducted. At the phantom centroid, the 0·13 cm3 ionization chamber (CC013, Scanditronix Wellhofer Inc., MN, USA) was inserted for the image registration and tracking marker when performing the dose delivery, as demonstrated in Figure 1. Although the lesion was in the peripheral lung, the geometry of the PSQA plan was set with this lesion at the phantom centroid. The calculated dose was performed in the highest resolution using the Precision® treatment planning system version 3.3.1.3 (Accuray Inc., Sunnyvale, CA, USA).

Figure 1. Position of ionization chamber 0·13 cc.
Respiratory cycle acquisition
The clinical respiratory cycle was randomly collected from patients who required treatment in the thoracic region. A single camera of surface-guided radiotherapy (SentinelTM, C-RAD AB, Sweden) was used to record the breathing cycle during the CT simulation. The surrogate point was placed at the xiphoid to observe the respiratory behaviour. The waveforms within the Synchrony® criteria 23 were selected for this experiment. These waveforms were converted from CSV format to TXT format using MATLAB® version R2021b (MathWorks Inc., MA, USA). This study then selected 8 out of 15 waveforms to match the PSQA treatment plan for the surrounding dose investigation. The frequency of the selected waveform samples was distributed in slightly equivalent intervals and demonstrated in Figure 2.

Figure 2. Examples of selected clinical respiratory cycle in the experiment where (a) is the respiratory cycle number 1 and (b) is number 3.
Dose difference at the surrounding area measurement setup
The surrounding dose measurement was conducted under two conditions using the Radixact® X9 with Synchrony® system (Accuray® Inc., Sunnyvale, CA, USA). All detectors of phantom measured the dose in static and moving target motion. The Gamma passing rate (GPR) was compared between the calculated dose and the measured dose using the 3%/2mm and 3%/3mm Gamma criteria with a 10% low dose threshold (LDT) using the SNC Patient software® Version 8.5.1.9 (Sun Nuclear Co., FL, USA).
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1) Static target motion: The phantom was set as it was measured in the PSQA process, as illustrated in Figure 3a. Image-guided radiotherapy (IGRT) was conducted before the measurement. The measurement was performed three times on different dates to evaluate the setup and image registration uncertainty. The total number of measurements for the static target motion was 21.

Figure 3. Measurement setup geometry. (a) Static target motion setup and (b) Moving target motion setup.
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2) Moving target motion: The additional equipment was prepared for the target motion measurement. The IC was attached to the 1-dimensional dynamic platform (Model 008PL, CIRS®, VA, USA) as the tracking marker, as demonstrated in Figure 3b. After the image registration, six radiography angles were set at 0°, 60°, 120°, 180°, 240° and 300° for the respiratory cycle prediction. The value of partial difference (PD) was set at 3 per recommendation. Reference Sano, Fujiwara, Okada, Tanooka, Takaki and Shibata24 The measurement was performed in 8 waveforms for each PSQA plan. The total number of measurements of moving target motion was 56. This number was calculated according to Naing et al. Reference Naing, Winn and Rusli25
Data and statistical correlation analysis
The surrounding dose was measured at the detector point of the phantom. This detector position was embedded in the phantom at a depth of 29 mm (equivalent to a depth of 33 mm in water). The DD between static target motion and moving target motion was evaluated through point-to-point analysis and expressed as a frequency of percentage level. This frequency of percentage DD was then analysed in correlation with the respiratory frequency, size of planning target volume and target travelling distance. The Shapiro-Wilk test was used to analyse the data distribution. The Pearson correlation coefficient was used for data with normal distribution, whereas the Spearman correlation coefficient was used for data with non-normal distribution. The statistical correlation was evaluated using SPSS version 27 (IBM Co., NY, USA) with a 95% confidence interval (p-value < 0·05).
Results
The study revealed the characteristic data in the size of PTV, respiratory frequency and target travelling distance. Mean PTV size was 19·6 ± 10·6 cm3 (6·2 cm3– 32·5 cm3) with the width, length and height measuring 29·0 ± 8·6 mm, 32·0 ± 10·6 mm and 35·5 ± 14·8 mm, respectively. The average respiratory frequency and target travelling distance were 24.4 ± 6.0 cycles/min (15·8 cycles/min – 32·8 cycles/min) and 8·3 ± 3·2 mm (5·1 mm – 13·3 mm), respectively.
Gamma passing rate value of static and moving target motion
The GPR value expressed the delivery quality when compared to the dose calculation. The GPR value was revealed in Table 1. Mean GPR values of 3%/2mm and 3%/3mm were 97.8 ± 1·9% and 99·5 ± 0·6%, respectively, for a static target motion. On the other hand, the GPR of a moving target motion was measured when the target had a motion and the radiation beam was tracking the target location. The mean GPR value then was decreased to 90·6 ± 11·7% and 94·5 ± 9·8% for a sequence of Gamma criteria, respectively, as well.
Table 1. Gamma passing rate value for static and moving target motion

Dose difference in the surrounding area evaluation
The dose distribution was compared between the static and moving target motion. According to the detector position, the percent DD was calculated using point-to-point comparison, as illustrated in Figure 4. These DD values were classified into the frequency of the percent DD level. The results of the analysis were described in Table 2 and demonstrated in Figure 5. The frequency showed the highest value at the percent DD level of 5 – 10%, with the second and third highest values revealed in 0 – 1% and more than 30% levels, respectively. Another level of DD frequency value that was considered was 10 – 15%.

Figure 4. Point-to-point dose comparison where (a) Measured dose point and (b) Calculated dose point. Number of yellow highlight is the dose at the detector position.
Table 2. Frequency of different levels of percent dose difference at point-to-point between static and moving target motion


Figure 5. Frequency of percent dose difference separated by percent dose difference levels.
Correlation between the frequency of percent dose difference levels and other target characteristics
This experiment explored the correlation between the surrounding dose area and other target characteristics such as the target travelling distance, PTV size and respiratory frequency. This would demonstrate the influence of target characteristics that impact the area of surrounding dose. The results of the statistical analysis are described in Table 3.
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1) Target travelling distance correlation: Statistical analysis revealed a significant negative correlation (p = 0·024, r = −0·302) for the frequency of 2 – 3% DD levels, while the 10 – 15% DD level revealed a significant positive correlation (p = 0·006, r = 0·363). The bold lines in Figure 6a demonstrate the trend of the data, which show a significant correlation with the frequency of percent dose at different levels.

Figure 6. Plots and trend line between the frequency of percent dose difference levels and target characteristics where bold lines are a significant correlation and dash lines are no significant correlation. (a) Target travelling distance correlation, (b) PTV size correlation and (c) Respiratory frequency.
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2) PTV size correlation: The results showed a significant positive correlation (p ≤ 0·005, r ≥ 0·374) for the frequency of DD levels at 0% – 5% as illustrated in Figure 6b. On the other hand, a significant negative correlation (p ≤ 0·002, r ≤ −0·406) appeared in the frequency of DD levels at 10 – 25%. A significant correlation of the PTV size was demonstrated by the bold lines in Figure 6b.
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3) Respiratory frequency correlation: Statistical analysis found no significant correlation between the respiratory frequency and all levels of DD frequency. The p-value was reported to be larger than 0·370, indicating both positive and negative correlations. There are no bold lines in Figure 6c, which was no significant correlation between the frequency of percent DD and respiratory frequency.
Table 3. Frequency of different levels of percent dose difference at point-to-point between static and moving target motion

Bold letters are a significant correlation.
Discussion
This study investigated the DD in the surrounding area using the ArcCHECK® phantom. The DD was presented as a frequency of percent DD levels using a point-to-point comparison. Although the IC was used as the tracking marker, the irradiated area did not involve any part of the IC. Sequentially, the DD was evaluated.
Gamma passing rate value of static and moving target motion
This experiment was conducted to confirm the treatment quality using GPR. Reference Chaiyapong, Watcharawipha, Nobnop, Kongsa and Jia-Mahasap3,Reference Watcharawipha and Chitapanarux26,Reference Saengsawatdiphong, Watcharawipha and Nobnop27 The GPR values clearly demonstrated no limitations of the treatment plan, particularly in static target motion. According to the recommendations of the AAPM Task Group 148 Reference Langen, Papanikolaou and Balog28 and Task Group 306, Reference Chen, Rong and Burmeister29 the GPR revealed superb values to ensure the performance of the treatment machine for Gamma criteria of 3%/3mm. Although the tighter Gamma criteria (3%/2mm) were employed, the GPR values were above 95% as recommended. Reference Chen, Rong and Burmeister29 The experiment indicated the low uncertainty in the equipment setup with the standard deviation values within 1·9%. Ensuring that setup uncertainty had minimal influence on the measurement values. In addition, the GPR values revealed a reduction in moving target motion. These measurements were conducted in a target with motion where the radiation mimicked static motion. The results revealed variation values of 11·7% and 9·8% for GPR3%/3mm and GPR3%/3mm, respectively. This variation is likely caused by the respiratory frequency and the target travelling distance. This clearly demonstrates the low coverage of radiation dose when static motion delivery is employed on the moving target. Although the GPR3%/3mm value was within an acceptable level, the GPR3%/2mm was at the action level. Reference Chen, Rong and Burmeister29
Dose difference in the surrounding area evaluation
The motion of the target during the treatment introduced dose blurring to the target, resulting in the edge of the target receiving the unsharp radiation dose. Reference Ferris, Kissick, Bayouth, Culberson and Smilowitz12,Reference Bortfeld, Jiang and Rietzel30 In contrast, the motion management of RTMT 10,Reference Dhont, Harden, Chee, Aitken, Hanna and Bertholet14,Reference Keall, Mageras and Balter31 adapted the radiation beam to follow the target while the peripheral organs remained stationary. The blurring dose would appear on the OARs rather than the target. When considering in Figure 5, the frequency of percent DD revealed high values for DDs below 5%. However, this DD range was not significant due to the recommendations of the International Commission on Radiation Units and Measurements (ICRU) number 62 and number 83. 32,33 The percent DD levels above 5% were of interest. High values of frequency were found at percent difference levels of 5 – 10% and 10 – 15%. These values were at the edge of the target’s travel path when plotted on the 2-dimensional dose distributions as demonstrated by the blue dots in Figure 7. This clearly indicates that dose blurring had occurred at the distal distance of the target travelling in both superior and inferior directions. This finding aligns with the work of Ferris et al., Reference Ferris, Chao, Smilowitz, Kimple, Bayouth and Culberson15 where they found at least a 7·6% DD at a 20·0 mm depth from the skin. However, this study had limitations in measuring dose in other surrounding dose areas due to the specific detector position. The DD was reported at a 33·0 mm water-equivalent depth from the phantom surface. This geometry would be relevant when the target is in the peripheral lung, where the spinal cord remains motionless. In addition, the percent DD showed a high value exceeding 15%. This area can be observed outside the treatment volume, as indicated by the green dots in Figure 7. This demonstrates that the maximum percent DD should be within 15% at this surrounding location.

Figure 7. Examples of two-dimensional dose distribution from ArcCHECK® where (a) Dose distribution of treatment planning number 1 and (b) Dose distribution of treatment planning number 2. Colour dots are the positions that had a dose difference at levels of 0 – 5% (red dots), 5 – 15% (blue dots) and more than 15% (green dots).
Correlation between the frequency of percent dose difference levels and other target characteristics
The study investigated the factors of target characteristics that impact the surrounding dose area using RTMT. The correlation focused on major factors such as the target travelling distance, PTV size and respiratory frequency.
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1) Target travelling distance correlation: The statistical analysis found a negative correlation between the frequencies of DDs at 2 – 3%, whereas a positive correlation was found at higher DD levels. This may demonstrate the distance of the target impact to the area of the surrounding dose. In short distances, the motion would be much similar to the stationary condition. However, a negative correlation was observed between the DD and the travelling distance. Specifically, at low dose levels, a short travelling distance may increase dose accumulation at the same detector location, thus introducing dose variation. The frequency of DDs was then revealed at the central area of the target motion, as illustrated in Figure 8a. In contrast, the area of high DD increased when the target had a long travelling distance, as shown in Figure 8b. This reason then correlated with a significant positive analysis when the distance was increased. This finding confirms the work of Ferris et al. that DDs could occur most frequently in the superior-inferior direction of the target. Reference Ferris, Chao, Smilowitz, Kimple, Bayouth and Culberson15

Figure 8. Diagrams of target characteristics impact the frequency of percent dose difference. Upper row demonstrates the area of detector that has a short target travelling distance (a) and a long target travelling distance (b). Bottom row illustrates the area of detector that has a small PTV size (c) and a large PTV size (d).
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2) PTV size correlation: The PTV size is one factor that impacts the area of the surrounding dose. The analysis found a significant positive correlation when the RTMT was used in a small lesion, whereas a significant negative correlation was found in the large lesion. According to the same travelling distance, the large PTV may provide a large area of high DD as illustrated in Figure 8d, while the small area of high DD is revealed when employed in a small PTV as demonstrated in Figure 8c.
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3) Respiratory frequency correlation: Although some trend lines revealed a gradient when the respiratory frequency was increased, the statistical analysis did not show a significant correlation between these two parameters. The respiratory frequency then may not be a factor that impacts the surrounding dose area.
Although this study investigated the DD in the surrounding area, some limitations were identified. The investigated dose was measured in a phantom with a specific detector position, leading to specific positions of observation for the surrounding dose area, particularly in point-to-point observations. Investigating DDs in volume could be an area of interest for future research. Another limitation was that the location of the lesion was translated to the centre of the phantom, which may not be applicable in clinical practice. However, the geometry could still be represented in the relationship between the peripheral lung lesion and the spinal cord. Another issue was raised regarding in the direction between the respiratory cycle and platform motion. Due to the single direction of the platform model, the vertical respiratory direction from the SentinelTM was converted to the longitudinal platform direction. While this may not accurately reflect the clinical situation, the signals were derived from clinical practice. This could be another interesting issue for further study, potentially utilizing a three-dimensional platform. A final limitation of this study was the small number of clinical cases (n = 7). Although the total sample size was increased by including multiple respiratory cycles, the study was restricted to only seven cases due to the short period of RTMT implementation. This limitation presents an opportunity for further investigation.
Conclusion
A RTMT system can deliver the radiation dose using target tracking. During radiation beam tracking the target, a difference between the calculated radiation dose and the measured radiation dose was observed. The DD at a distance of 105 mm from the phantom’s centre (119·5 mm water-equivalent distance) showed a maximum frequency at a DD of 5 – 10% using point-to-point measurement. However, the DD could be as high as 10 – 15% if the target had a long distance to travel and a larger size of target. This was confirmed by the significant correlation between the DDs and the distance of the target travelling and the size of the PTV, whereas no significant correlation was found with the respiratory frequency.
Acknowledgements
No acknowledgment for this study.
Author’s contributions
(1) Phairot Kititharakun: Conceptualization, Data curation, Investigation, Formal analysis, Writing – original draft, Writing – review and editing.
(2) Wannapha Nobnop: Formal analysis, Writing – review and editing.
(3) Anupong Kongsa: Formal analysis.
(4) Warit Thongsuk: Formal analysis.
(5) Anirut Watcharawipha: Conceptualization, Formal analysis, Writing – review and editing, Supervision.
Financial support
The authors declare that no funds, grants, or other support were received on this study.
Competing interests
This study has no conflict of interest.
Presentation at a conference
Oral presentation at the 23rd South-East Asia Congress of Medical Physics (SEACOMP) – 16th Annual Meeting of Thai Medical Physicist Society (TMPS), Chiang Rai, Thailand.
Ethics
This study protocol was approved by the Research Ethics Committee of Faculty of Medicine, Chiang Mai University (Study code: RAD-2567-0221).





