Summary
Multileaf Collimators (MLC) consist of (currently 20-100) pairs of movable metal leaves which are used to block radiation in Intensity Modulated Radiation Therapy (IMRT). The leaves modulate a uniform source of radiation to achieve given intensity profiles. The modulation process is modeled by the decomposition of a given non-negative integer matrix into a non-negative linear combination of matrices with the (strict) consecutive ones property.
In this paper we review some results and algorithms which can be used to minimize the time a patient is exposed to radiation (corresponding to the sum of coefficients in the linear combination), the set-up time (corresponding to the number of matrices used in the linear combination), and other objectives which contribute to an improved radiation therapy.
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© 2008 Springer Science+Business Media, LLC
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Ehrgott, M., Hamacher, H.W., Nußbaum, M. (2008). Decomposition of matrices and static multileaf collimators: a survey. In: Alves, C.J.S., Pardalos, P.M., Vicente, L.N. (eds) Optimization in Medicine. Springer Optimization and Its Applications, vol 12. Springer, New York, NY. https://doi.org/10.1007/978-0-387-73299-2_2
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DOI: https://doi.org/10.1007/978-0-387-73299-2_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-73298-5
Online ISBN: 978-0-387-73299-2
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