{"product_id":"optimal-fractionation-in-radiotherapy-hardback-9781009341134","title":"Optimal Fractionation in Radiotherapy (Hardback) 9781009341134","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eOptimal Fractionation in Radiotherapy\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA comprehensive, mathematically rigorous treatment of the topic, supplemented by clinical insights from numerical experiments using computer code.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eArchis Ghate (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009341134, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 19 October 2023\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e168 pages, 35 b\/w illus.\u003cbr\u003e23.5 x 15.8 x 1.4 cm, 0.39 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This text provides a unifying mathematical framework for the fractionation decision in radiotherapy. It offers a rich blend of mathematical analysis, numerical examples, codes, exercises, and bibliographic notes for an in-depth understanding and implementation of the concepts discussed. The book presents a fresh perspective to the long-standing fractionation debate in the field of radiotherapy and can inspire the design of new clinical trials to improve treatment efficacy for cancer patients.' Ehsan Salari, Wichita State University\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis monograph provides a mathematically rigorous overview of optimal fractionation in cancer radiotherapy, which seeks to address the fundamental tradeoff of maximizing tumor-kill while protecting nearby healthy tissue from toxic effects. Most mathematical research on exact solutions to this problem is scattered across journals in applied mathematics, operations research, radiobiology, medicine, and medical physics. These works rarely include rigorous proofs or detailed derivations of their methodologies. Moreover, computer programs utilized for conducting numerical experiments seldom accompany these publications, thereby jeopardizing reproducibility. This monograph aims to provide a comprehensive pedagogical reference that brings researchers up to speed on optimal fractionation, utilizing and illustrating analytical techniques from linear algebra, calculus, linear programming, quadratic and nonlinear programming, robust optimization, and inverse optimization. Its purpose is to help readers understand the mathematics behind the optimal fractionation problem, empowering them to contribute original work to this field.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Fractionation with a single organ-at-risk\u003cbr\u003e 3. Fractionation with multiple organs-at-risk\u003cbr\u003e 4. Robust fractionation\u003cbr\u003e 5. Inverse fractionation\u003cbr\u003e 6. Spatiotemporally integrated fractionation\u003cbr\u003e 7. Robust spatiotemporally integrated fractionation\u003cbr\u003e 8. Fractionation with two modalities\u003cbr\u003e 9. Robust fractionation with two modalities\u003cbr\u003e 10. Directions for future work \u003cbr\u003e Appendix Background on optimization\u003cbr\u003e Bibliography Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Optimization [\u003ca title=\"See our other books on Optimization\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Optimization%20%5BPBU%5D%22\"\u003ePBU\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52413982114072,"sku":"9781009341134","price":89.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009341134i.jpg?v=1784333715","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/optimal-fractionation-in-radiotherapy-hardback-9781009341134","provider":"Freshly Printed Books","version":"1.0","type":"link"}