Quantifying the predictability of diaphragm motion during respiration with a noninvasive external marker S. S. Vedam Department of Biomedical Engineering and Department of Radiation Oncology, Virginia Commonwealth University, Richmond, Virginia V. R. Kini and P. J. Kealla) Department of Radiation Oncology, Virginia Commonwealth University, Richmond, Virginia V. Ramakrishnan Department of Biostatistics, Virginia Commonwealth University, Richmond, Virginia H. Mostafavi Ginzton Technology Center, Varian Medical Systems Inc., Palo Alto, California R. Mohan Department of Radiation Oncology, Virginia Commonwealth University, Richmond, Virginia and Department of Radiation Physics, M.D. Anderson Cancer Center, Houston, Texas !Received 11 June 2002; accepted for publication 13 January 2003; published 17 March 2003" The aim of this work was to quantify the ability to predict intrafraction diaphragm motion from an external respiration signal during a course of radiotherapy. The data obtained included diaphragm motion traces from 63 fluoroscopic lung procedures for 5 patients, acquired simultaneously with respiratory motion signals !an infrared camera-based system was used to track abdominal wall motion". During these sessions, the patients were asked to breathe either !i" without instruction, !ii" with audio prompting, or !iii" using visual feedback. A statistical general linear model was formulated to describe the relationship between the respiration signal and diaphragm motion over all sessions and for all breathing training types. The model parameters derived from the first session for each patient were then used to predict the diaphragm motion for subsequent sessions based on the respiration signal. Quantification of the difference between the predicted and actual motion during each session determined our ability to predict diaphragm motion during a course of radiotherapy. This measure of diaphragm motion was also used to estimate clinical target volume !CTV" to planning target volume !PTV" margins for conventional, gated, and proposed four-dimensional !4D" radiotherapy. Results from statistical analysis indicated a strong linear relationship between the respiration signal and diaphragm motion (p!0.001) over all sessions, irrespective of session number (p"0.98) and breathing training type (p"0.19). Using model parameters obtained from the first session, diaphragm motion was predicted in subsequent sessions to within 0.1 cm !1 #" for gated and 4D radiotherapy. Assuming a 0.4 cm setup error, superior–inferior CTV–PTV margins of 1.1 cm for conventional radiotherapy could be reduced to 0.8 cm for gated and 4D radiotherapy. The diaphragm motion is strongly correlated with the respiration signal obtained from the abdominal wall. This correlation can be used to predict diaphragm motion, based on the respiration signal, to within 0.1 cm !1 #" over a course of radiotherapy. © 2003 American Association of Physicists in Medicine. $DOI: 10.1118/1.1558675% I. INTRODUCTION Reproducibility of target position during and between subsequent fractions of a radiotherapy treatment procedure plays a critical role in increasing the accuracy of the treatmentplanning process. The different components that affect such reproducibility of target position include the beam-bony anatomy alignment, displacement of internal organs between fractions, and internal organ motion within a fraction. Depending on the site being treated, each of the abovementioned components contributes, in varying proportions, to the margins that are to be added around the clinical target volume !CTV",1,2 creating the planning target volume !PTV" to ensure adequate coverage throughout the entire course of 505 Med. Phys. 30 „4…, April 2003 the treatment. One of the principal causes of intrafraction internal anatomy motion is respiration. Treatment sites that are most significantly affected by such motion include the lung, breast, and liver. Several studies, conducted to examine the extent of diaphragm excursion due to normal respiration, report the range of motion to be between 0.4 and 3.8 cm3–7 in the superior–inferior !SI" direction. During conventional treatment planning to sites affected by respiratory motion, a significant margin is added around the CTV in order to ensure complete coverage of the CTV as it moves due to respiration within a treatment fraction. It therefore follows that a large amount of surrounding normal tissue is irradiated, thus increasing the amount of healthy 0094-2405Õ2003Õ30„4…Õ505Õ9Õ$20.00 © 2003 Am. Assoc. Phys. Med. 505 506 Vedam et al.: Predicting diaphragm motion from a respiration signal lung irradiated and limiting the maximum dose that can be prescribed to the tumor itself. Accounting for such motion during treatment, therefore, has the potential to reduce margins drawn around the CTV, resulting in a lower dose to normal tissues !e.g., lung" and thus a lower risk of treatmentinduced complications.8 –14 Among the techniques that explicitly account for intrafraction motion are breath-hold,6,7,15–20 respirationgating,21–36 and 4D37 or tumor-tracking38 – 40 techniques. Breath-hold techniques either actively or passively suspend the patient’s respiration and allow treatment during this interval. A study41 examining intra-and interfraction reproducibility of diaphragm and liver positions during breath holds has indicated that, while diaphragm position within a fraction can be reproduced satisfactorily, daily imaging and repositioning are still required in order to achieve any appreciable reduction in treatment margins. Respiration-gating methods periodically turn the beam on when the patient’s respiration signal is in a certain part of the breathing cycle !generally end-inhale or end-exhale". 4D methods propose to track the tumor with the radiation beam as the tumor moves during the respiration cycle. These techniques require acquisition of some form of respiration signal !infrared reflective markers, spirometry, strain gauges, video tracking of chest outlines and fluoroscopic tracking of implanted markers are some of the techniques employed to date", which is assumed to be correlated with internal anatomy motion. It is obvious that fluoroscopic tracking of implanted markers is well correlated with internal anatomy motion. However, due to the complexity of respiration, it is not so obvious whether the respiration signal from an external marker is correlated with internal anatomy motion. Mageras et al.,42 in a six-patient fluoroscopic study, presented evidence of a strong correlation between diaphragm motion and the respiration signal. It was also shown that verbal instructions improved the regularity of the respiration signal. Recently, an attempt43 was also made to analyze motion of the actual tumor in the frequency domain from multiple fluoroscopic videos. In Mageras’s study, skin markers served as the respiration signal. Results obtained were on similar lines with a tumor motion range of 0 to 5 cm and an average breathing cycle of 2.8 s. A maximum time delay of nearly a third of a breathing cycle was also observed. In a further study,44 respiratory movement during gated radiotherapy was evaluated by employing film and electronic portal imaging. Among the several parameters examined in this study were intra- and interfraction variability in diaphragm position due to respiration motion. Ozhasoglu et al.,38 in a 5 patient study, examined breathing patterns by employing simultaneous fluoroscopic visualization of internal fiducial markers and external respiration signal recordings !spirometry and optical markers" in real time. They reported significant variations in the breathing patterns, including transient temporal shifts between breathing traces generated by the external marker motion and the motion of the internal anatomy !tumor". The current literature dealing with respiration-induced organ motion has not statistically evaluated the relationship Medical Physics, Vol. 30, No. 4, April 2003 506 between the diaphragm motion and the respiration signal for multiple patients, breathing regimens and sessions simulating a course of radiotherapy. Thus, the main aims of our research were to: !1" Examine the nature of the relationship between diaphragm motion and the respiration signal from multiple repeat fluoroscopic sessions for different patients and breathing training regimens. !2" Use the relationship determined from one ‘‘simulation’’ session to predict diaphragm motion in subsequent ‘‘treatment’’ sessions. !3" Quantify and compare the potential SI margins that need to be added to the CTV for conventional, gated, and 4D radiotherapy. II. METHODS AND MATERIALS A. Data acquisition Sixty-three fluoroscopy movies, typically 30 s each, were recorded from 5 lung cancer patients who participated in a study protocol. Each patient underwent at least two and up to five complete sessions !on different days, with not more than a week separating subsequent sessions" of breathing monitoring !with and without training". Each breathing monitoring session consisted of simultaneous recording of the respiration signal and the fluoroscopy movie, while the patient was asked to breathe !1" normally !no instructions", !2" according to audio prompting !periodic ‘‘Breathe in’’ and ‘‘Breathe out’’ instructions" presented at a rate comfortable for each patient, and !3" by observing a visual representation of the motion trace on a screen and regulating the excursion of the trace between two prespecified motion limits !visual feedback". The patients were set up in the simulator room by aligning the room lasers with the skin marks as per their treatment chart. The Varian !Varian Medical Systems, Palo Alto, CA 94304-1129" Real Time Position Management !RPM" system was used to acquire !at 30 Hz" the respiration signal, R(t), and also to simultaneously record a stream of lung fluoroscopy images !at 10 Hz". During each breathing session, the infrared reflective marker was placed at the same point on the patient’s surface, where the magnitude of respiration motion was observed to be high, generally midway between the patient’s xyphoid process and umbilicus. Permanent marker was used to aid in the repositioning of the marker from day to day. A typical patient setup for a study session is shown in Fig. 1. The respiration signal is the anterior–posterior !AP" component of the infrared reflective marker motion, as measured by the RPM system. Custom-written image-analysis software was developed to allow a user to identify the portion of the diaphragm to be monitored on the first frame of the fluoroscopy movie. The software then automatically updates the SI position of the selected portion of the diaphragm on subsequent frames, thus yielding a motion trace of the diaphragm, F act(t). 31 For each fluoroscopy session, the apex and the lateral and medial aspects of the diaphragm were tracked when 507 Vedam et al.: Predicting diaphragm motion from a respiration signal FIG. 1. Typical patient setup for simultaneous recording of the respiration signal and fluoroscopy movie. A reflective marker block placed midway between the patient’s xyphoid process and umbilicus is used in the recording of the respiration signal. The headphones are for audio prompting, and the LCD screen is for visual feedback. Inset is the patient view of the LCD screen used for the visual feedback. possible. To ensure the fidelity of the automatic diaphragm position determination, the detected position was checked on a frame-by-frame basis, and repeat measures also yielded identical results. B. Relationship of respiration signal to internal anatomy motion: Statistical validation of a general linear model C. Prediction of diaphragm motion If there is a linear relationship between the internal anatomy motion as observed on fluoroscopy, F act(t), and the respiration signal, R(t), then the following equation will hold: F act! t " #F act"c$ ! R ! t# & " #R " , !1" where c is the average ratio between the internal motion and respiration signal, and & is the time delay between the diaphragm motion and respiration signal. F act and R are the mean !integrated over time" values of the internal motion and Medical Physics, Vol. 30, No. 4, April 2003 respiration signal, respectively, calculated for each fluoroscopy session of interest. By including the normalization terms F act and R , we are removing daily systematic differences in the mean position of the diaphragm, and instead concentrating on intrafraction variations due to respiration only. The average ratio, c, was determined by calculating the ratio of the time-integrated absolute value of the left-hand side of Eq. !1" to the time-integrated absolute value of the right-hand side of Eq. !1". The time delay for the simulation session, & 0 , was determined by visually inspecting the overlay of the diaphragm motion and respiration signal traces and searching for any systematic temporal shift between the two traces. This time delay, which had been observed in previous studies,31,38,42,43 was determined to be 0 for all the patients enrolled in this study. Though the time delay was observed to be zero for the patient data obtained here, it is still included in the prediction method for generality. For a given patient, the average ratio, c, and time delay, &, values established from the initial !simulation" session can be used in subsequent sessions to predict the motion of the diaphragm, F pred(t), during subsequent !treatment" sessions. The applicability of predicting the diaphragm motion from the first session to subsequent sessions is the analogy of obtaining these parameters from a simulation session and applying them throughout the course of treatment. Thus, from the respiration trace of subsequent sessions we can predict the diaphragm motion using F pred! t " #F pred"c 0 $ ! R ! t# & 0 " #R " , The first step was to statistically validate the assumption that the relationship between the respiration signal and internal anatomy motion could be expressed satisfactorily with the mathematical model of the form expressed in Eq. !1". A linear model relating the two variables F act(t)#F act and R(t# & )#R was statistically fitted. Since this correlation may be influenced by the variability in breathing training types and sessions, these variables were included in the linear regression model to obtain an adjusted estimate of the correlation between the two variables. As the same subjects were repeated over the sessions and training types, within subject correlations had to be accounted for in the linear model. This was achieved using the general linear model. 507 !2" where c 0 and & 0 are the average ratio and time delay values established from the initial session. The validity of the predicted trace, F pred(t), to represent the actual trace, F act(t), can be quantified by taking the standard deviation of the relative positional differences between these traces, # F pred#F act, for a given session. Obviously, the smaller the value of # F pred#F act, the better the internal motion can be predicted from the respiration signal. This internal motion prediction can be used in 4D radiotherapy to track the tumor based on the respiration signal. Also of relevance for gated radiotherapy is the quantification of the internal motion prediction during the gating window when the beam is on. This quantity, which is denoted as # FGate , indicates the variation between the predicted tupred#F act mor motion and actual tumor motion within a specified gating window. For gated radiotherapy, respiration-induced motion occurs during the finite window. As the duty cycle increases, the residual motion within the gating window, defined as # FGate , also increases. $The duty cycle, or efficiency, act as defined here is the ratio of beam on time !when the respiration signal falls within the gating window" to total beam delivery time. Delivering 150 monitor units at 300 monitor units per second without gating would normally take 30 s. With a 25% duty cycle, this will take 2 min.% For this study, the gating windows were chosen at 20%, 35%, and 50% duty cycles for both inhale and exhale to cover the range of clinically used values. Vedam et al.: Predicting diaphragm motion from a respiration signal 508 508 TABLE I. The standard deviation !1#" of the measured diaphragm motion, # F act, for each patient and breathing training type, averaged over multiple fluoroscopy sessions. All values are in centimeters. Patient Normal breathing Audio prompting Visual feedback 1 2 3 4 5 All 0.60 0.27 0.34 0.24 0.44 0.36 0.65 0.46 0.53 0.70 1.00 0.71 0.48 0.29 0.38 0.23 0.82 0.47 D. Calculation of superior–inferior CTV to PTV margins Because intrafraction motion is one component of the margin that needs to be added to the CTV to obtain the PTV, gating and 4D methods that explicitly account for tumor motion during delivery will have a small CTV–PTV margin. However, the scale of this margin reduction depends on the relative magnitudes of the other margin components. In our study, the margins were calculated in such a way that the CTV lies within the PTV for 95% of the treatment duration. This approach requires that the uncertainties are known.2 Thus, the following equations for conventional (M Conv), gated (M Gate), and 4D (M 4D) margins were derived: 2 M Conv"2$ !# setup % # F2 , !3" 2 % ! # FGate #F " 2 % ! # FGate" 2 , M Gate"2$ !# setup pred act act !4" 2 % ! # FGate #F " 2 , M 4D"2$ !# setup pred act !5" act where # setup includes both the variation in patient position !beam-bony anatomy alignment" and the bony anatomytumor alignment !bony anatomy-diaphragm in this case". # F act represents the variation of the actual diaphragm motion throughout the entire breathing session. For this study, the setup error used was the realistic value of 0.4 cm.45 However, because improved technology and techniques may reduce setup errors in the future, setup error values of 0.2 cm were also used for the margin calculations. III. RESULTS A. Quantification of diaphragm motion For the purposes of margin calculation, the complex nature of the diaphragm motion $see, for example, Fig. 4!a"% can be quantified by calculating the standard deviation of the motion !assuming that the probability distribution of the position with time is approximately normally distributed".46 Table I provides values of the diaphragm motion !1 #" for each patient and for the different types of breathing training, averaged over multiple fluoroscopy sessions. Diaphragm motion during visual feedback was comparable to that obtained during normal breathing. However, audio prompting inMedical Physics, Vol. 30, No. 4, April 2003 FIG. 2. Comparison of the average variation of diaphragm motion, # FGate , act within different gate intervals at inhale and exhale for all patients during normal respiration. Error bars represent a variation of 1#. The increase in motion with duty cycle is due to the residual motion within the gating window. creased the range of/amplitude of diaphragm motion. This result was found to be consistent with the observations made in a previous study.42 Diaphragm motion within different gate intervals !20%, 35%, and 50% duty cycle at inhale and exhale" for the freebreathing data is shown in Fig. 2. In general, motion within gate intervals at exhale was less than that at corresponding gate intervals at inhale. An increase in the width of the duty cycle, or gating window resulted in an increase in motion extent, as shown in a previous study.31 Note that the motion with a 100% gate interval is the same as that obtained over the entire breathing session. B. Relationship of respiration signal to internal anatomy motion: Statistical analysis using the repeated measures mixed effects model A repeated measures mixed effects model was fitted using the PROC MIXED procedure in SAS !SAS Institute Inc, Version 8.2e, 2000, Cary NC" to statistically evaluate Eq. !1". A scatter plot of the diaphragm motion, F act , and the respiration signal, R, for every measurement point obtained !'10 000" is shown in Fig. 3. An analysis of the data shows that even though the multiple recording sessions and breathing instruction types changed the respiration patterns, the relationship between respiration signal and diaphragm motion did not differ significantly over the different breathing types (p"0.19) or session number (p"0.98), as shown in Table II. However, the diaphragm motion is strongly correlated with the respiration signal (p!0.0001), and the use of a linear model is justified. In addition, results obtained (p !0.0001) when Time !instant of time during the breathing cycle" is considered as a factor and those obtained for the interaction variables—Time, Respiration signal$Time, 509 Vedam et al.: Predicting diaphragm motion from a respiration signal 509 FIG. 3. Scatter plots representing !a" the overall relationship between diaphragm position, F act , and respiration signal, R, for all data points !'10 000" from all !63" of the fluoroscopic sessions and !b" patient-specific relationships between diaphragm position, F act , and respiration signal, R. The line of best fit in each case and the correlation values are also displayed. Note that positive values on both axes correspond with the inhale phase of the breathing cycle. Respiration signal$Session number, and Respiration signal $Breathing training type—do suggest the existence of a significant variation in the slope of the line of fit with respect to time instant during the breathing cycle, session number, and breathing training type. To interpret the statistical results in a more visual manner, the diaphragm motion and respiration signal traces, representing the session with the lowest diaphragm motionrespiration signal correlation !an outlier" and the highest correlation, are shown in Fig. 4. This figure shows that even for the lowest observed correlation !0.51", similarities still exist between the diaphragm motion and respiration signal. Note that the mean correlation observed for individual sessions was 0.94. Medical Physics, Vol. 30, No. 4, April 2003 TABLE II. Estimation of coefficients for the general linear model !p values", expressing the relationship between respiration signal and diaphragm motion. The session number was the session for each patient !1–5" corresponding to the different days on which subsequent fluoroscopy studies were performed. The breathing training type is either normal breathing, audio prompting, or visual feedback. Parameter p value Respiration signal Session number Breathing training type Time Respiration signal$Time Respiration signal$Session number Respiration signal$Breathing training type !0.0001 0.98 0.19 !0.0001 !0.0001 !0.0001 !0.0001 Vedam et al.: Predicting diaphragm motion from a respiration signal 510 510 FIG. 4. The diaphragm position !dotted line", F act , and respiration signal !solid line", R, plotted against time for !a" the lowest correlation coefficient value !0.51" and !b" the highest correlation coefficient value !0.99". Note that positive values along the position axis correspond with the inhale phase of the breathing cycle. C. Prediction of diaphragm motion IV. DISCUSSION The ability of the respiration signal to predict the diaphragm motion based on Eq. !2" is summarized in Table III. These results were obtained by including all sessions of the same training type for all of the patients in the analysis. The results show a consistent ability to predict the diaphragm motion to within '0.1 cm !1 #", independent of breathing training. These results represent our prediction ability over the entire breathing cycle and are applicable to 4D treatments. A similar analysis performed for gated treatments is shown in Fig. 5, again showing the ability to predict the diaphragm motion to within 0.1 cm at different duty cycle values. Many gated, breath-hold and 4D radiotherapy techniques rely on using a respiration signal as a surrogate for or predictor of tumor motion. Verifying this assumption was an aim of this research. In this study, diaphragm motion and respiration signal !abdominal wall motion" were correlated in over 60 fluoroscopy sessions. Statistical analysis showed that these two quantities are strongly correlated. Ozhasoglu et al.38 also report in their work a similar correlation between the superior–inferior displacement of a pancreas tumor and the anterior–posterior displacement of an external chest marker. They also suggest that if such a stationary relationship can be established, then a correlation between the external chest marker and the tumor motion can be derived from three or four randomly timed observations of both signals and hence be extrapolated into the future. We adopted a similar approach in our study when we first established such a stationary relationship between the external respiration signal and the diaphragm !as a surrogate for tumor" motion. The correlation derived, based on such a stationary relationship for a ‘‘simulation’’ session, was then used to predict dia- D. Calculation of superior–inferior margins for different treatment modalities The values obtained for predicted diaphragm motion were entered into Eqs. !3"–!5" to determine the CTV–PTV margins that would be needed to have the CTV within the PTV 95% of the time. The results are shown in Fig. 6. All margin reductions from the conventional values shown are significant at the 1% level, except for the results of gated exhale for the 50% duty cycle. With gated therapy, the degree of margin reduction decreased with an increase in the width of the gate !duty cycle" due to residual motion within the gating window. The potential margin reduction was greater as setup error became less significant. 4D radiotherapy allows the greatest margin reduction, since there is no residual motion within the gating window. TABLE III. Measure of ability to predict !1#" diaphragm motion, # F pred#F act, in multiple sessions !cm". Patient Normal breathing Audio prompting Visual feedback 1 2 3 4 5 All 0.1 0.08 0.05 0.09 0.11 0.09 0.1 0.09 0.07 0.11 0.1 0.09 0.08 0.07 0.15 0.07 0.14 0.11 Medical Physics, Vol. 30, No. 4, April 2003 FIG. 5. Average ability to predict the diaphragm position, # FGate , within pred#F act different gating windows at inhale and exhale for all patients during normal respiration. Error bars represent a variation of 1#. Note the use of the same scale as in Fig. 2, in order to illustrate consistency in the ability to predict diaphragm motion within different gating widows. 511 Vedam et al.: Predicting diaphragm motion from a respiration signal FIG. 6. Comparison of projected population averaged superior–inferior !SI" margins to be added to the CTV for conventional (M Conv), gated (M Gate), and 4D (M 4D) treatment modalities for patients during normal respiration. The gated margins are calculated for several different duty cycle !DC" values. Projected margins are lower for gated and 4D radiotherapy than conventional therapy. Gating at exhale allows slightly smaller margins than gating at inhale. phragm motion in future ‘‘treatment’’ sessions, based on the respiration signal from that same treatment session alone, to within 0.1 cm !1 #" over a course of radiotherapy. Thus, methods such as gated and 4D radiotherapy that rely on a relationship between the internal anatomy motion and the respiration signal have the potential for safe margin reduction as well as the potential for target dose escalation and/or lower treatment-related complications. Intrafraction respiratory motion and the potential for reduction of such motion during respiratory gated radiotherapy has been studied by Ford et al.44 using fluoroscopy, respiratory gated film, and electronic portal imaging data acquired from eight patients. In their study, the patient averaged intrafraction diaphragm range of motion of 0.69 cm during normal respiration was reduced to 0.26 cm with respiratory gating. Our corresponding results, presented as standard deviations of motion, are 0.36 and '0.11 cm, respectively, and are therefore consistent with the range of motion values reported by Ford et al.44 A limitation of the current work is that only the motion of one anatomical structure !the diaphragm" and only one respiration signal !abdominal wall motion at the midway point between the umbilicus and xyphoid process" have been correlated. However, breathing patterns show a lot of variations over the course of time. Hence, longer treatment times directly influence the stationary nature of the correlation between the respiration signal and tumor/diaphragm motion. Also, the presence of a phase shift31,38,42,43 !transient or otherwise" between the external and internal motion signals, as reported in the literature, has to be accounted for. In the current study, we observe a phase shift. Such a shift, if and when it occurs, will affect the results obtained from this study. Of most importance, therefore, is correlating the tumor motion with the respiration signal. This correlation may be Medical Physics, Vol. 30, No. 4, April 2003 511 possible with the development of respiration-correlated ‘‘4D’’ CT methods.47–53 Patient training using audio and visual aids does affect amplitude of breathing patterns, as is evident from results in Sec. III A. Audio instructions tend to increase the amplitude of breathing while visual aids could potentially be used to limit diaphragm excursion to predetermined levels. However, training does not seem to have a significant effect on our ability to predict the diaphragm motion during treatment sessions. Intrafraction motion, which was the main focus of our work, is just one of several components that contribute to increased margins. The issues of interfraction motion and setup error have already been studied and reported in literature. Balter et al.54,55 have analyzed diaphragm position on daily radiographs from eight patients to assess setup variations in liver position during breath-hold treatments with the ABC device. Analysis of repeat 3D CT scan data obtained from this method indicated a reduction in setup errors !1 #" from 6.7 to 3.5 mm !superior–inferior, SI", 4 to 2.1 mm !left–right, LR", and 3.8 to 2.3 mm !anterior–posterior, AP" respectively. Dawson et al.,41 using a similar technique, have reported interfraction SI reproducibility !1 #" of 4.4 mm. In a study of interfraction diaphragm variation during respiratory gated radiotherapy, Ford et al.44 reported patient averaged interfraction diaphragm variability of 2.8&1.0 mm, based on data obtained from gated localization films. The study further concluded that most of the variability in diaphragm position occurs due to setup errors rather than respiratory motion. Thus, while gated and 4D treatments exhibit a potential for margin reduction as compared with conventional treatments, this margin reduction is still limited by the magnitude of the setup error. ACKNOWLEDGMENTS The authors acknowledge Varian Medical Systems for the loan of an RPM gating system, engineering support, and a Varian Medical Systems internship. This research was aided in part by Grant No. IRG-100036 from the American Cancer Society, and Grant No. R01 CA 93626 from the National Cancer Institute. Thank you to Devon Murphy for reviewing and improving the clarity of this manuscript. a" Author to whom all correspondence should be addressed; electronic mail: [email protected] 1 ‘‘Prescribing, recording and reporting photon beam therapy,’’ ICRU Report No. 50 !International Commission on Radiation Units and Measurements, Bethesda, MD, 1993". 2 ‘‘Prescribing, recording and reporting photon beam therapy,’’ ICRU Report No. 62 !Supplement to ICRU Report No. 50" !International Commission on Radiation Units and Measurements, Bethesda, MD, 1999". 3 P. H. Weiss, J. M. Baker, and E. J. Potchen, ‘‘Assessment of hepatic respiratory excursion,’’ J. Nucl. Med. 13, 758 –759 !1972". 4 H. W. Korin, R. L. Ehman, S. J. Riederer, J. P. Felmlee, and R. C. Grimm, ‘‘Respiratory kinematics of the upper abdominal organs: A quantitative study,’’ Magn. Reson. Med. 23, 172–178 !1992". 5 S. C. Davies, A. L. Hill, R. B. Holmes, M. Halliwell, and P. C. Jackson, ‘‘Ultrasound quantitation of respiratory organ motion in the upper abdomen,’’ Br. J. Radiol. 67, 1096 –1102 !1994". 6 J. Hanley, M. M. Debois, D. Mah, G. S. Mageras, A. Raben, K. Rosenzweig, B. Mychalczak, L. H. Schwartz, P. J. Gloeggler, W. Lutz, C. C. 512 Vedam et al.: Predicting diaphragm motion from a respiration signal Ling, S. A. Leibel, Z. Fuks, and G. J. Kutcher, ‘‘Deep inspiration breathhold technique for lung tumors: The potential value of target immobilization reduced lung density in dose escalation,’’ Int. J. Radiat. Oncol., Biol., Phys. 45, 603– 611 !1999". 7 J. M. Balter, K. L. Lam, C. J. McGinn, T. S. Lawrence, and R. K. Ten Haken, ‘‘Improvement of CT-based treatment-planning models of abdominal targets using static exhale imaging,’’ Int. J. Radiat. Oncol., Biol., Phys. 41, 939–943 !1998". 8 S. L. Kwa, J. V. Lebesque, J. C. Theuws, L. B. Marks, M. T. Munley, G. Bentel, D. Oetzel, U. Spahn, M. V. Graham, R. E. Drzymala, J. A. Purdy, A. S. Lichter, M. K. Martel, and R. K. Ten Haken, ‘‘Radiation pneumonitis as a function of mean lung dose: An analysis of pooled data of 540 patients,’’ Int. J. Radiat. Oncol., Biol., Phys. 42, 1–9 !1998". 9 M. V. Graham, J. A. Purdy, B. Emami, W. Harms, W. Bosch, M. A. Lockett, and C. A. Perez, ‘‘Clinical dose-volume histogram analysis for pneumonitis after 3D treatment for non-small cell lung cancer !NSCLC",’’ Int. J. Radiat. Oncol., Biol., Phys. 45, 323–329 !1999". 10 L. Marks, ‘‘Dosimetric predictors of radiation-induced lung injury,’’ Int. J. Radiat. Oncol., Biol., Phys. 54, 313–316 !2002". 11 M. K. Martel, R. K. Ten Haken, M. B. Hazuka, A. T. Turrisi, B. A. Fraass, and A. S. Lichter, ‘‘Dose-volume histogram and 3-D treatment planning evaluation of patients with pneumonitis,’’ Int. J. Radiat. Oncol., Biol., Phys. 28, 575–581 !1994". 12 D. Oetzel, P. Schraube, F. Hensley, G. Sroka-Perez, M. Menke, and M. Flentje, ‘‘Estimation of pneumonitis risk in three-dimensional treatment planning using dose-volume histogram analysis,’’ Int. J. Radiat. Oncol., Biol., Phys. 33, 455– 460 !1995". 13 J. G. Armstrong, M. J. Zelefsky, S. A. Leibel, C. Burman, C. Han, L. B. Harrison, G. J. Kutcher, and Z. Y. Fuks, ‘‘Strategy for dose escalation using 3-dimensional conformal radiation therapy for lung cancer,’’ Ann. Oncol. 6, 693– 697 !1995". 14 M. L. Hernando, L. B. Marks, G. C. Bentel, S. M. Zhou, D. Hollis, S. K. Das, M. Fan, M. T. Munley, T. D. Shafman, M. S. Anscher, and P. A. Lind, ‘‘Radiation-induced pulmonary toxicity: A dose-volume histogram analysis in 201 patients with lung cancer,’’ Int. J. Radiat. Oncol., Biol., Phys. 51, 650– 659 !2001". 15 H. D. Kubo, P. M. Len, S. Minohara, and H. Mostafavi, ‘‘Breathingsynchronized radiotherapy program at the University of California Davis Cancer Center,’’ Med. Phys. 27, 346 –353 !2000". 16 K. E. Rosenzweig, J. Hanley, D. Mah, G. Mageras, M. Hunt, S. Toner, C. Burman, C. C. Ling, B. Mychalczak, Z. Fuks, and S. A. Leibel, ‘‘The deep inspiration breath-hold technique in the treatment of inoperable nonsmall-cell lung cancer,’’ Int. J. Radiat. Oncol., Biol., Phys. 48, 81– 87 !2000". 17 D. Mah, J. Hanley, K. E. Rosenzweig, E. Yorke, L. Braban, C. C. Ling, S. A. Leibel, and G. Mageras, ‘‘Technical aspects of the deep inspiration breath-hold technique in the treatment of thoracic cancer,’’ Int. J. Radiat. Oncol., Biol., Phys. 48, 1175–1185 !2000". 18 E. A. Barnes, B. R. Murray, D. M. Robinson, L. J. Underwood, J. Hanson, and W. H. Roa, ‘‘Dosimetric evaluation of lung tumor immobilization using breath hold at deep inspiration,’’ Int. J. Radiat. Oncol., Biol., Phys. 50!4", 1091–1098 !2001". 19 J. W. Wong, M. B. Sharpe, D. A. Jaffray, V. R. Kini, J. S. Robertson, J. S. Stromberg, and A. A. Martinez, ‘‘The use of active breathing control !ABC" to reduce margin for breathing motion,’’ Int. J. Radiat. Oncol., Biol., Phys. 44, 911–919 !1999". 20 J. S. Stromberg, M. B. Sharpe, L. H. Kim, V. R. Kini, D. A. Jaffray, A. A. Martinez, and J. W. Wong, ‘‘Active breathing control !ABC" for Hodgkin’s disease: Reduction in normal tissue irradiation with deep inspiration and implications for treatment,’’ Int. J. Radiat. Oncol., Biol., Phys. 48, 797– 806 !2000". 21 C. J. Ritchie, J. Hseih, M. F. Gard, J. D. Godwin, Y. Kim, and C. R. Crawford, ‘‘Predictive respiratory gating: A new method to reduce motion artifacts on CT scans,’’ Radiology 190, 847– 852 !1994". 22 M. Mori, K. Murata, M. Takahashi, K. Shimoyama, T. Ota, R. Morita, and T. Sakamoto, ‘‘Accurate contiguous sections without breath-holding on chest CT: Value of respiratory gating and ultrafast CT,’’ Am. J. Roentgenol. 162, 1057–1062 !1994". 23 H. D. Kubo and B. C. Hill, ‘‘Respiration gated radiotherapy treatment: A technical study,’’ Phys. Med. Biol. 41, 83–91 !1996". 24 G. S. Mageras, ‘‘Interventional strategies for reducing respiratoryinduced motion in external beam therapy,’’ in The Use of Computers in Medical Physics, Vol. 30, No. 4, April 2003 512 Radiation Therapy, edited by W. Schlegel and T. Bortfeld !Springer, Heidelberg, 2000", pp. 514 –516. 25 K. Ohara, T. Okumura, T. Akisada, T. Inada, T. Mori, H. Yokota, and M. B. Calguas, ‘‘Irradiation synchronized with respiration gate,’’ Int. J. Radiat. Oncol., Biol., Phys. 17, 853– 857 !1989". 26 T. Tada, K. Minakuchi, T. Fujioka, M. Sakurai, M. Koda, I. Kawase, T. Nakajima, M. Nishioka, T. Tonai, and T. Kozuka, ‘‘Lung cancer: Intermittent irradiation synchronized with respiratory motion—results of a pilot study,’’ Radiology 207, 779–783 !1998". 27 D. Scaperoth, ‘‘Why respiration gated radiotherapy?,’’ presented at the RPM Respiration gating training, Knoxville, TN, 2000. 28 C. R. Ramsey, D. Scaperoth, D. Arwood, and A. L. Oliver, ‘‘Clinical efficacy of respiratory gated conformal radiation therapy,’’ Med. Dosim 24, 115–119 !1999". 29 H. Shirato, S. Shimizu, T. Kunieda, K. Kitamura, M. van Herk, K. Kagei, T. Nishioka, S. Hashimoto, K. Fujita, H. Aoyama, K. Tsuchiya, K. Kudo, and K. Miyasaka, ‘‘Physical aspects of a real-time tumor-tracking system for gated radiotherapy,’’ Int. J. Radiat. Oncol., Biol., Phys. 48, 1187– 1195 !2000". 30 S. Minohara, T. Kanai, M. Endo, K. Noda, and M. Kanazawa, ‘‘Respiratory gated irradiation system for heavy-ion radiotherapy,’’ Int. J. Radiat. Oncol., Biol., Phys. 47, 1097–1103 !2000". 31 S. S. Vedam, P. J. Keall, V. Kini, and R. Mohan, ‘‘Determining parameters for respiration gated radiotherapy,’’ Med. Phys. 28, 2139–2146 !2001". 32 S. Shimizu, H. Shirato, S. Ogura, H. Akita-Dosaka, K. Kitamura, T. Nishioka, K. Kagei, M. Nishimura, and K. Miyasaka, ‘‘Detection of lung tumor movement in real-time tumor-tracking radiotherapy,’’ Int. J. Radiat. Oncol., Biol., Phys. 51, 304 –310 !2001". 33 H. Shirato, S. Shimizu, K. Kitamura, T. Nishioka, K. Kagei, S. Hashimoto, H. Aoyama, T. Kunieda, N. Shinohara, H. Dosaka-Akita, and K. Miyasaka, ‘‘Four-dimensional treatment planning and fluoroscopic realtime tumor tracking radiotherapy for moving tumor,’’ Int. J. Radiat. Oncol., Biol., Phys. 48, 435– 442 !2000". 34 D. J. Kim, B. R. Murray, R. Halperin, and W. H. Roa, ‘‘Held-breath self-gating technique for radiotherapy of non-small-cell lung cancer: A feasibility study,’’ Int. J. Radiat. Oncol., Biol., Phys. 49, 43– 49 !2001". 35 H. D. Kubo and L. Wang, ‘‘Introduction of audio gating to further reduce organ motion in breathing synchronized radiotherapy,’’ Med. Phys. 29, 345–350 !2002". 36 P. J. Keall, V. R. Kini, S. S. Vedam, and R. Mohan, ‘‘Potential radiotherapy improvements with respiratory gating,’’ Australas. Phys. Eng. Sci. Med. 25, 1– 6 !2002". 37 P. J. Keall, V. Kini, S. S. Vedam, and R. Mohan, ‘‘Motion Adaptive X-ray Therapy: A feasibility study,’’ Phys. Med. Biol. 46, 1–10 !2001". 38 C. Ozhasoglu and M. J. Murphy, ‘‘Issues in respiratory motion compensation during external-beam radiotherapy,’’ Int. J. Radiat. Oncol., Biol., Phys. 52, 1389–1399 !2002". 39 C. Ozhasoglu, M. J. Murphy, G. Glosser, M. Bodduluri, A. Schweikard, K. Forster, D. P. Martin, and J. R. Adler, ‘‘Real-time tracking of the tumor volume in precision radiotherapy and body radiosurgery—A novel approach to compensate for respiratory motion,’’ presented at the Computer Assisted Radiology and Surgery, San Francisco, 2000. 40 A. Schweikard, G. Glosser, M. Bodduluri, M. J. Murphy, and J. R. Adler, ‘‘Robotic motion compensation for respiratory movement during radiosurgery,’’ Comput. Aided Surg 5, 263–277 !2000". 41 L. A. Dawson, K. K. Brock, S. Kazanjian, D. Fitch, C. J. McGinn, T. S. Lawrence, R. K. Ten Haken, and J. Balter, ‘‘The reproducibility of organ position using active breathing control !ABC" during liver radiotherapy,’’ Int. J. Radiat. Oncol., Biol., Phys. 51, 1410–1421 !2001". 42 G. Mageras, E. Yorke, K. E. Rosenzweig, L. Braban, E. Keatley, E. Ford, S. A. Leibel, and C. C. Ling, ‘‘Fluoroscopic evaluation of diaphragmatic motion reduction with a respiratory gated radiotherapy system,’’ J. Appl. Clin. Med. Phys. 2, 191–200 !2001". 43 Q. S. Chen, M. S. Weinhous, F. C. Deibel, J. P. Ciezki, and R. M. Macklis, ‘‘Fluoroscopic study of tumor motion due to breathing: Facilitating precise radiation therapy for lung cancer patients,’’ Med. Phys. 28, 1850– 1856 !2001". 44 E. Ford, G. Mageras, E. Yorke, K. E. Rosenzweig, R. Wagman, and C. C. Ling, ‘‘Evaluation of respiratory movement during gated radiotherapy using film and electronic portal imaging,’’ Int. J. Radiat. Oncol., Biol., Phys. 52, 522–531 !2002". 45 L. Ekberg, O. Holmberg, L. Wittgren, G. Bjelkengren, and T. Landberg, 513 Vedam et al.: Predicting diaphragm motion from a respiration signal ‘‘What margins should be added to the clinical target volume in radiotherapy treatment planning for lung cancer?,’’ Radiother. Oncol. 48, 71–77 !1998". 46 T. Bortfeld, K. Jokivarsi, M. Goitein, J. Kung, and S. B. Jiang, ‘‘Effects of intra-fraction motion on IMRT dose delivery: Statistical analysis and simulation,’’ Phys. Med. Biol. 47, 2203–2220 !2002". 47 E. Ford, G. Mageras, E. York, and C. C. Ling, ‘‘Respiration-correlated spiral CT: A method of measuring respiratory-induced anatomic motion for radiation treatment planning,’’ AAPM Meeting, Montreal, 2002. 48 D. Low, J. Bradley, J. Dempsey, D. Politte, K. Islam, S. Mutic, G. Christensen, and J. Deasy, ‘‘4D !time-dependent" measurements of breathing motion using multislice CT scanning,’’ AAPM Meeting, Montreal, 2002. 49 S. Vedam, P. Keall, V. Kini, R. Mohan, H. Mostafavi, and H. Shukla, ‘‘4D CT imaging: Feasibility and preliminary results,’’ AAPM Meeting, Montreal, 2002. 50 P. Zygmanski, ‘‘Experimental quantification and analysis of organ motion artifacts in conventional CT-simulation: Conditions of 4D CT data acquisition,’’ AAPM Meeting, Montreal, 2002. Medical Physics, Vol. 30, No. 4, April 2003 51 513 G. S. Mageras, ‘‘Respiration correlated CT techniques for gated treatment of lung cancer,’’ presented at the 21st Annual ESTRO meeting, Praha, 2002. 52 M. van Herk, C. Scheider, J. J. Sonke, E. Damen, and K. De Jaeger, ‘‘Respiration-correlated CT of lung cancer patients,’’ presented at the 21st Annual ESTRO meeting, Praha, 2002. 53 S. Vedam, P. Keall, V. Kini, H. Mostafavi, H. Shukla, and R. Mohan, ‘‘Acquiring a 4D CT data set using an external respiratory signal,’’ Phys. Med. Biol. 48, 45– 62 !2003". 54 J. M. Balter, L. A. Dawson, S. Kazanjian, C. McGinn, K. K. Brock, T. Lawrence, and R. Ten Haken, ‘‘Determination of ventilatory liver movement via radiographic evaluation of diaphragm position,’’ Int. J. Radiat. Oncol., Biol., Phys. 51, 267–270 !2001". 55 J. M. Balter, K. K. Brock, D. W. Litzenberg, D. L. McShan, T. S. Lawrence, R. Ten Haken, C. J. McGinn, K. L. Lam, and L. A. Dawson, ‘‘Daily targeting of intrahepatic tumors for radiotherapy,’’ Int. J. Radiat. Oncol., Biol., Phys. 52, 266 –271 !2002".
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