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Correlation of External Markers and Functional for Respiration Compensation in Radiotherapy Tomas Krilavičius1,2 Indrė Žliobaitė 1,3 Rūta Užupytė 1,2 Henrikas Simonavičius 4 1Baltic Institute of Advanced Technology 2Vytautas Magnus University 3Aalto University 4Rubedo systems Problem Positioning Patient Compensate Respiratory Motion Components Couch (HexaPOD) Tracking device Controller Radiation Beam Source 2 Approaches Do nothing Gating Controlled-breath Probability-based planning (planning tumor volume) Displacing multi-leaf collimator (MLC) Changing configuration of MLC Using patient support structure to compensate movement 3 Research Directions General solution Determine position of tumor Predict motion Adapt dosimeter Predict position of tumor (functional target from external marker) Common approaches (1 to 3 dimensions) Pearson correlation and Gaussian filters Fourier transformation and cross corellation linear interpolation and partial-least squares 4 Signals 8 sets of 2D signals 3 surogate marker per record 6-10 points-of-interest Duration: from 300 to 500 frames (150 - 400 sec.) Overall 87 signal-pairs We thank Jonas Venius and his colleagues for help in collecting signals Gabrielius Čaplinskas for extracting them from DICOMs 5 Signals 6 Algorithmic Solution 7 Loss Function: 8 Results (Correlation) xy P3 P3 P4 P4 P5 P5 P6 P6 P7 P7 P8 P8 P9 P9 P0 P0 P1 P1 P2 P2 0.05 -0.33 0.98 -0.99 0.77 -0.97 0.41 -0.72 0.92 -0.99 0.97 -0.97 -0.09 -0.79 -0.06 0.37 -0.91 0.93 -0.64 0.88 -0.4 0.72 -0.91 0.93 -0.91 0.91 0.04 0.78 0.07 -0.33 0.97 -0.98 0.79 -0.95 0.42 -0.74 0.92 -0.97 0.96 -0.96 -0.05 -0.8 -0.07 0.26 -0.82 0.85 -0.65 0.82 -0.4 0.64 -0.79 0.84 -0.82 0.83 0.03 0.7 0.06 -0.3 0.93 -0.94 0.9 -0.96 0.41 -0.73 0.84 -0.93 0.91 -0.92 -0.01 -0.79 0.03 -0.24 0.89 -0.89 0.85 -0.91 0.39 -0.66 0.79 -0.88 0.86 -0.88 -0.06 -0.73 9 Results (Prediction) Model MAE, mm P4~P0 P4~P1 P4~P2 P5~P0 P5~P1 P5~P2 P7~P0 P7~P1 P7~P2 P8~P0 P8~P1 P8~P2 Overall average (all models) Minimal error Maximal error 0.55 0.79 0.89 0.51 0.61 0.61 0.62 0.87 0.95 0.85 1.04 1.1 1.1 0.26 3.4 p-value 0 0 0.96 0.89 0 0 0.93 0.74 0 0 0.87 0.81 0 0 0.53 0.81 0 0 0.55 0.7 0 0.03 0.72 0.86 0 0 0.82 0.88 0 0 0.83 0.72 0 0 0.66 0.8 0.13 0 0.94 0.85 0.03 0 0.91 0.68 0 0 0.85 0.77 10 Prediction (Coordinate x from relation P5~P0) 11 Prediction (Coordinate y from relation P5~P0) 12 Prediction (Coordinate x from relation P4~P0) 13 Prediction (Coordinate y from relation P4~P0) 14 Results and Conclusions Functional targets move more than external markers Signals motion range depends on the directions markers move more in anterior-posterior direction targets - in superior inferior direction, then in anterior-posterior Better result are obtained using markers with a greater range of movement and middle abdomen if lateral direction is ignored otherwise upper abdomen Regression residuals are auto-correlated Loss function (MAE) is sensitive to the range 15 Results and Conclusions Functional targets move more than external markers Signals motion range depends on the directions markers move more in anterior-posterior direction targets - in superior inferior direction, then in anterior-posterior Better result are obtained using markers with a greater range of movement and Due to signal recoding middle abdomen if lateral direction is ignored specifics using dMRI otherwise upper abdomen motion (coil is placed on the patient) is lower than Regression residuals are auto-correlated observed in “free” Loss function (MAE) is sensitiveconditions to the range and literature 16 Future Plans Experiments with more complex regression cases Solve the problem of residuals autocorrelation Choose other quality measures Analyze respiratory motion prediction and design cases of an overall system radiation therapy system with respiratory motion compensation We already have some results in predicting respiratory motion More results in relating external markers and targets 17 THANKS 18 Body and Directions Anterior Posterior Superior-Inferior Lateral 20