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Lateral Penumbra Modelling Based Leaf End Shape Optimization for Multileaf Collimator in Radiotherapy
Joint Authors
Zhou, Dong
Zhang, Hui
Ye, Peiqing
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Lateral penumbra of multileaf collimator plays an important role in radiotherapy treatment planning.
Growing evidence has revealed that, for a single-focused multileaf collimator, lateral penumbra width is leaf position dependent and largely attributed to the leaf end shape.
In our study, an analytical method for leaf end induced lateral penumbra modelling is formulated using Tangent Secant Theory.
Compared with Monte Carlo simulation and ray tracing algorithm, our model serves well the purpose of cost-efficient penumbra evaluation.
Leaf ends represented in parametric forms of circular arc, elliptical arc, Bézier curve, and B-spline are implemented.
With biobjective function of penumbra mean and variance introduced, genetic algorithm is carried out for approximating the Pareto frontier.
Results show that for circular arc leaf end objective function is convex and convergence to optimal solution is guaranteed using gradient based iterative method.
It is found that optimal leaf end in the shape of Bézier curve achieves minimal standard deviation, while using B-spline minimum of penumbra mean is obtained.
For treatment modalities in clinical application, optimized leaf ends are in close agreement with actual shapes.
Taken together, the method that we propose can provide insight into leaf end shape design of multileaf collimator.
American Psychological Association (APA)
Zhou, Dong& Zhang, Hui& Ye, Peiqing. 2016. Lateral Penumbra Modelling Based Leaf End Shape Optimization for Multileaf Collimator in Radiotherapy. Computational and Mathematical Methods in Medicine،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1100237
Modern Language Association (MLA)
Zhou, Dong…[et al.]. Lateral Penumbra Modelling Based Leaf End Shape Optimization for Multileaf Collimator in Radiotherapy. Computational and Mathematical Methods in Medicine No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1100237
American Medical Association (AMA)
Zhou, Dong& Zhang, Hui& Ye, Peiqing. Lateral Penumbra Modelling Based Leaf End Shape Optimization for Multileaf Collimator in Radiotherapy. Computational and Mathematical Methods in Medicine. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1100237
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1100237