Tumour radiotherapy and its mathematical modelling



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Cappuccio, Antonio and Herrero, Miguel A. and Nuñez, Luis (2009) Tumour radiotherapy and its mathematical modelling. In Mathematics, developmental biology and tumour growth. Contemporary Mathematics (492). American Mathematical Society, Providence (R.I.), pp. 77-102. ISBN 978-0-8218-4663-6

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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.

Item Type:Book Section
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UIMP-RSME Lluis A. Santaló Summer School on Mathematics, Developmental Biology and Tumour Growth, Universidad Internacional Menéndez Pelayo, Santander, Spain, September 11-15, 2006

Uncontrolled Keywords:Early breast-cancer; normal tissue responses; linear-quadratic model; control probability; dose delivery; radiation; therapy; cells; radiosensitivity; fractionation; radiotherapy; tumour processes; radiobiology; mathematical models
Subjects:Medical sciences > Biology > Biomathematics
Medical sciences > Medicine > Oncology
Sciences > Mathematics > Operations research
ID Code:17737
Deposited On:17 Jan 2013 09:07
Last Modified:15 Mar 2021 16:22

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