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Image Analysis and Tomography
Published in Gregory S. Chirikjian, Alexander B. Kyatkin, Engineering Applications of Noncommutative Harmonic Analysis, 2021
Gregory S. Chirikjian, Alexander B. Kyatkin
Radiation therapy treatment planning (which also goes by other related names such as radiotherapy planning or radiation treatment planning) is the field concerned with delivering the best dose of radiation to a patient in order to damage or destroy a tumor, while causing no more than an acceptable amount of damage to surrounding healthy tissue. Radiation therapy treatment planning can be delivered either by external beams using a columnator, or by internal placement of radioactive material (either by ingestion or by a surgical procedure). When we refer to the radiation therapy treatment planning problem, we will mean radiation being delivered through external beams. This problem has been studied extensively (see, for example, [13, 14, 44, 45, 59, 58, 61] and references therein). For recent studies in medical physics and therapy planning see [8, 11, 21, 47, 41, 46, 51, 52, 56, 54, 70]. The book by Webb [69] serves as a very nice introduction to this topic.
Affinely adjustable robust optimization for radiation therapy under evolving data uncertainty via semi-definite programming
Published in Optimization, 2023
V. Jeyakumar, G. Li, D. Woolnough, H. Wu
Radiation therapy is one of the most widely used treatment options for cancer. Long-term side effects can occur if treatments are not carefully designed due to the exposure of healthy tissues surrounding the tumour. The aim of the radiation treatment planning is to deliver curative doses of radiation to tumours while minimizing the risk of side effects [1–6]. The changes in patient's conditions, such as the changes in the patient's cell responses to external radiation when, for instance, the oxygenation is reduced, often result in uncertainty in dose prescription values and inexactness in oxygenation data because of measurement errors. The changes in cell oxygenation directly impact the response to radiation over time, known as the hypoxia effect [7,8].
Operator splitting for adaptive radiation therapy with nonlinear health dynamics
Published in Optimization Methods and Software, 2022
Anqi Fu, Lei Xing, Stephen Boyd
In radiation therapy, beams of ionizing radiation are transmitted into a patient, damaging both tumor cells and normal tissue. The goal of radiation treatment planning is to deliver enough dose to the tumor so that diseased cells are killed, while avoiding excessive injury to the normal tissue and organs-at-risk (OARs). This is achieved by optimizing the beam intensity profile, or fluence map, subject to constraints on the dose to certain parts of the patient's anatomy. The fluence map optimization problem is well-studied [1,15,29,30], and technology like intensity-modulated radiation therapy (IMRT) is now widespread in the clinic [18,41,42,48].