The Varian Real‐time Position Management (RPM) system allows respiratory gating based on either the phase or displacement (amplitude) of the breathing waveform. A problem in clinical application is that phase‐based gating, required for respiration‐correlated (4D‐CT) simulation, is not robust to irregular breathing patterns during treatment, and a widely used system version (1.6) does not provide an easy means to change from a phase‐based gate into an equivalent displacement‐based one. We report on the development and evaluation of a robust method to convert phase‐gate thresholds, set by the physician, into equivalent displacement‐gate thresholds to facilitate its clinical application to treatment. The software tool analyzes the respiration trace recorded during the 4D‐CT simulation, and determines a relationship between displacement and phase through a functional fit. The displacement gate thresholds are determined from an average of two values of this function, corresponding to the start and end thresholds of the original phase gate. The software tool was evaluated in two ways: first, whether in‐gate residual target motion and predicted treatment beam duty cycle are equivalent between displacement gating and phase gating during 4D‐CT simulation (using retrospective phase recalculation); second, whether residual motion is improved with displacement gating during treatment relative to phase gating (using real‐time phase calculation). Residual target motion was inferred from the respiration traces and quantified in terms of mean and standard deviation in‐gate displacement measured relative to the value at the start of the recorded trace. For retrospectively‐calculated breathing traces compared with real‐time calculated breathing traces, we evaluate the inaccuracies of real‐time phase calculation by measuring the phase gate position in each trace as well as the mean in‐gate displacement and standard deviation of the displacement. Retrospectively‐calculated data from ten patients were analyzed. The patient averaged in‐gate mean ± standard deviation displacement (representing residual motion) was reduced from 0.16±0.14cm for phase gating under simulation conditions to 0.12±0.08cm for displacement gating. Evaluation of respiration traces under treatment conditions (real‐time phase calculation) showed that the average displacement gate threshold results in a lower in‐gate mean and residual motion (variance) for all patients studied. The patient‐averaged in‐gate mean ± standard deviation displacement was reduced from 0.26±0.18cm for phase gating (under treatment conditions) to 0.15±0.09cm for displacement gating. Real‐time phase gating sometimes leads to gating on incorrect portions of the breathing cycle when the breathing trace is irregular. Displacement gating is less prone to such errors, as evidenced by the lower in‐gate residual motion in a large majority of cases.In terms of duty cycle and residual motion, displacement‐based gating is equivalent to phase‐based gating for retrospectively‐calculated phase informatio...
Digital tomosynthesis ͑DTS͒ with a linear accelerator-mounted imaging system provides a means of reconstructing tomographic images from radiographic projections over a limited gantry arc, thus requiring only a few seconds to acquire. Its application in the thorax, however, often results in blurred images from respiration-induced motion. This work evaluates the feasibility of respirationcorrelated ͑RC͒ DTS for soft-tissue visualization and patient positioning. Image data acquired with a gantry-mounted kilovoltage imaging system while recording respiration were retrospectively analyzed from patients receiving radiotherapy for non-small-cell lung carcinoma. Projection images spanning an approximately 30°gantry arc were sorted into four respiration phase bins prior to DTS reconstruction, which uses a backprojection, followed by a procedure to suppress structures above and below the reconstruction plane of interest. The DTS images were reconstructed in planes at different depths through the patient and normal to a user-selected angle close to the center of the arc. The localization accuracy of RC-DTS was assessed via a comparison with CBCT. Evaluation of RC-DTS in eight tumors shows visible reduction in image blur caused by the respiratory motion. It also allows the visualization of tumor motion extent. The best image quality is achieved at the end-exhalation phase of the respiratory motion. Comparison of RC-DTS with respiration-correlated cone-beam CT in determining tumor position, motion extent and displacement between treatment sessions shows agreement in most cases within 2-3 mm, comparable in magnitude to the intraobserver repeatability of the measurement. These results suggest the method's applicability for softtissue image guidance in lung, but must be confirmed with further studies in larger numbers of patients.
We examine the results of two measurements by the CLAS collaboration, one of which claimed evidence for a Θ + pentaquark, whilst the other found no such evidence. The unique feature of these two experiments was that they were performed with the same experimental setup. Using a Bayesian analysis we find that the results of the two experiments are in fact compatible with each other, but that the first measurement did not contain sufficient information to determine unambiguously the existence of a Θ + . Further, we suggest a means by which the existence of a new candidate particle can be tested in a rigorous manner.
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