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Real-time prediction of respiratory motion based on local regression methods

D Ruan et al 2007 Phys. Med. Biol. 52 7137-7152   doi: 10.1088/0031-9155/52/23/024  Help

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D Ruan1, J A Fessler1 and J M Balter2
1 Department of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, MI, USA
2 Department of Radiation Oncology, The University of Michigan, Ann Arbor, MI, USA
E-mail: druan@eecs.umich.edu

Abstract. Recent developments in modulation techniques enable conformal delivery of radiation doses to small, localized target volumes. One of the challenges in using these techniques is real-time tracking and predicting target motion, which is necessary to accommodate system latencies. For image-guided-radiotherapy systems, it is also desirable to minimize sampling rates to reduce imaging dose. This study focuses on predicting respiratory motion, which can significantly affect lung tumours. Predicting respiratory motion in real-time is challenging, due to the complexity of breathing patterns and the many sources of variability. We propose a prediction method based on local regression. There are three major ingredients of this approach: (1) forming an augmented state space to capture system dynamics, (2) local regression in the augmented space to train the predictor from previous observation data using semi-periodicity of respiratory motion, (3) local weighting adjustment to incorporate fading temporal correlations. To evaluate prediction accuracy, we computed the root mean square error between predicted tumor motion and its observed location for ten patients. For comparison, we also investigated commonly used predictive methods, namely linear prediction, neural networks and Kalman filtering to the same data. The proposed method reduced the prediction error for all imaging rates and latency lengths, particularly for long prediction lengths.

Print publication: Issue 23 (7 December 2007)
Received 18 July 2007, in final form 3 October 2007
Published 16 November 2007

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