RT Book, Section T1 Tumour radiotherapy and its mathematical modelling A1 Cappuccio, Antonio A1 Herrero, Miguel A. A1 Nuñez, Luis A2 Giráldez, Fernando A2 Herrero, Miguel A. AB Radiotherapy consists in the delivery of ionizing radiation with curative goals. It represents a major modality for treating solid malignancies in any anatomical site. It requires extremely precise dosimetry and delivery to control the lesion while sparing the surrounding normal tissue. This is currently achieved by means of a combination of techniques. Among these, mathematical modelling may contribute to design improved treatment plans. In the present work, we provide an overview of the basic features of radiotherapy. Thereafter, we describe concrete examples of how mathematical modelling has so far been employed to simulate radiotherapy and to theoretically explore alternative strategies. Open problems and possible research directions are also discussed. PB American Mathematical Society SN 978-0-8218-4663-6 YR 2009 FD 2009 LK https://hdl.handle.net/20.500.14352/45382 UL https://hdl.handle.net/20.500.14352/45382 LA eng NO UIMP-RSME Lluis A. Santaló Summer School on Mathematics, Developmental Biology and Tumour Growth, Universidad Internacional Menéndez Pelayo, Santander, Spain, September 11-15, 2006 DS Docta Complutense RD 1 ene 2026