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A novel prediction method of lung tumor motion is developed for compensating the latency. An essential core of the method is to extract information valuable for the prediction, that is, the periodic nature inherent in respiratory motion. A seasonal autoregressive model useful to represent periodic motion has been extended to take into account the fluctuation of periodic nature in respiratory motion. The extended model estimates the fluctuation by using a correlation-based analysis for adaptation. The prediction performance of the proposed method was evaluated by using data sets of actual tumor motion and compared with those of the state-of-the-art methods. The proposed method demonstrated a high performance within submillimeter accuracy. That is, the average error of 1.0\u2009s ahead predictions was<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mn>0.931<\/mml:mn><mml:mo>\u00b1<\/mml:mo><mml:mn>0.055<\/mml:mn><\/mml:mrow><\/mml:math>\u2009mm. The accuracy achieved by the proposed method was the best among those by the others. The results suggest that the method can compensate the latency with sufficient accuracy for clinical use and contribute to improve the irradiation accuracy to the moving tumor.<\/jats:p>","DOI":"10.1155\/2013\/390325","type":"journal-article","created":{"date-parts":[[2013,6,10]],"date-time":"2013-06-10T17:00:54Z","timestamp":1370883654000},"page":"1-9","source":"Crossref","is-referenced-by-count":8,"title":["A Time-Varying Seasonal Autoregressive Model-Based Prediction of Respiratory Motion for Tumor following Radiotherapy"],"prefix":"10.1155","volume":"2013","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0072-1399","authenticated-orcid":true,"given":"Kei","family":"Ichiji","sequence":"first","affiliation":[{"name":"Department of Electrical and Communication Engineering, Graduate School of Engineering, Tohoku University, 6-3 Aoba, Aramaki, Aoba-ku, Sendai, Miyagi 980-8578, 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