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Despite impressive responses, such treatment when applied on a continuous basis is not curative and eventually culminates in androgen-independent disease. On the other hand, intermittent androgen suppression (IAS) was first conceived as a potential way of delaying progression to androgen-independence, in addition offering the possibility of reducing adverse effects and improving the quality of life. Although the validity of this approach has been confirmed in several clinical studies, the optimal scheduling of the cycles of on- and off-treatment remains to be explored. In the present article, we show that IAS lends itself to mathematical modelling with hybrid dynamical systems and that the model we have developed can be used to select the best strategy for keeping prostate cancer in an androgen-dependent state as long as possible. Our results also suggest that the current way of using IAS exceeds what is necessary for optimal control; in fact, we have found that to achieve optimal control, the amount of therapy (dose and duration of drugs) can be reduced by a factor of one half.<\/jats:p>","DOI":"10.1098\/rsta.2010.0220","type":"journal-article","created":{"date-parts":[[2010,10,4]],"date-time":"2010-10-04T03:48:25Z","timestamp":1286164105000},"page":"5045-5059","update-policy":"https:\/\/doi.org\/10.1098\/crossmark-policy","source":"Crossref","is-referenced-by-count":31,"title":["Piecewise affine systems modelling for optimizing hormone therapy of prostate cancer"],"prefix":"10.1098","volume":"368","author":[{"given":"Taiji","family":"Suzuki","sequence":"first","affiliation":[{"name":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo\u00a0113-8656, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nicholas","family":"Bruchovsky","sequence":"additional","affiliation":[{"name":"The Prostate Centre at Vancouver General Hospital, 250A-2660 Oak Street, Vancouver, British Columbia, Canada V6H 3Z6"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kazuyuki","family":"Aihara","sequence":"additional","affiliation":[{"name":"Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"175","published-online":{"date-parts":[[2010,11,13]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eururo.2009.07.049"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1002\/1097-0142(19930501)71:9<2782::AID-CNCR2820710916>3.0.CO;2-Z"},{"key":"e_1_3_3_4_1","first-page":"59","volume-title":"Hybrid systems:computation and control","author":"Balluchi A.","year":"2002"},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(98)00178-2"},{"key":"e_1_3_3_6_1","first-page":"1810","volume-title":"Proc. 39th IEEE Conf. on Decision and Control","author":"Bemporad A.","year":"2000"},{"key":"e_1_3_3_7_1","first-page":"222","volume-title":"Hybrid systems:computation and control","author":"Bemporad A.","year":"2002"},{"key":"e_1_3_3_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/cncr.21989"},{"key":"e_1_3_3_9_1","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1634\/theoncologist.3-6-419","article-title":"Intermittent androgen suppression as a treatment for prostate cancer:a review","volume":"3","author":"Evens A. 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