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Erschienen in:
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2014 | OriginalPaper | Buchkapitel

Optimal Treatment Planning in Radiotherapy Based on Boltzmann Transport Equations

verfasst von : Richard C. Barnard, Martin Frank, Michael Herty

Erschienen in: Trends in PDE Constrained Optimization

Verlag: Springer International Publishing

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Abstract

We look at the optimization of radiotherapy treatment planning. By using a deterministic model of dose deposition in tissue derived from the Boltzmann transport equations, we can improve on the accuracy of existing models near tissue inhomogeneities while also making use of adjoint calculus for developing necessary conditions for optimality. We describe the relevant model and consider the planning problem in an optimal control framework. Two versions of the problem are discussed, optimality conditions are derived, and numerical methods are described. Numerical examples are presented.

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Vorheriges Kapitel Introduction to Part V: Applications
Nächstes Kapitel Optimal Control of Self-Consistent Classical and Quantum Particle Systems
Fußnoten
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Metadaten
Titel
Optimal Treatment Planning in Radiotherapy Based on Boltzmann Transport Equations
verfasst von
Richard C. Barnard
Martin Frank
Michael Herty
Copyright-Jahr
2014
Buch
Trends in PDE Constrained Optimization

Print ISBN: 978-3-319-05082-9

Electronic ISBN: 978-3-319-05083-6

Copyright-Jahr: 2014

DOI
https://doi.org/10.1007/978-3-319-05083-6_28

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