A set of Fortran subroutines for optimizing radiotherapy plans

Redpath, Anthony Thomas; Vickery, B. L.; Wright, D.

doi:10.1016/0010-468x(75)90007-0

Cited by 29 publications

(2 citation statements)

References 7 publications

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“…This approach eliminates the need of trial-and-error adjustment of dose volume histogram (DVH) constraints commonly used in the commercial inverse planning system. In fact, quadratic programming has long been employed in treatment planning to optimize beam weighting (Redpath et al 1975(Redpath et al , 1976, intracavitary radiotherapy (Tabushi et al 1988) and IMRT (Wu et al 2003, Wu and Zhu 2001, Zhu and Xing 2009. The solver used in this work is CVX, which is implemented in MatLab (MathWorks, Natick, MA).…”

Section: Formalism For Quadratic Programmingmentioning

confidence: 99%

Conceptual formulation on four-dimensional inverse planning for intensity modulated radiation therapy

Lee

et al. 2009

Phys. Med. Biol.

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Four-dimensional computed tomography (4DCT) offers an extra dimension of 'time' on the three-dimensional patient model with which we can incorporate target motion in radiation treatment (RT) planning and delivery in various ways such as in the concept of internal target volume, in gated treatment or in target tracking. However, for all these methodologies, different phases are essentially considered as non-interconnected independent phases for the purpose of optimization, in other words, the 'time' dimension has yet to be incorporated explicitly in the optimization algorithm and fully exploited. In this note, we have formulated a new 4D inverse planning technique that treats all the phases in the 4DCT as one single entity in the optimization. The optimization is formulated as a quadratic problem for disciplined convex programming that enables the problem to be analyzed and solved efficiently. In the proof-of-principle examples illustrated, we show that the temporal information of the spatial relation of the target and organs at risk could be 'exchanged' amongst different phases so that an appropriate weighting of dose deposition could be allocated to each phase, thus enabling a treatment with a tight target margin and a full duty cycle otherwise not achievable by either of the aforementioned methodologies. Yet there are practical issues to be solved in the 4D RT planning and delivery. The 4D concept in the optimization we have formulated here does provide insight on how the 'time' dimension can be exploited in the 4D optimization process.

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Section: Formalism For Quadratic Programmingmentioning

confidence: 99%

Conceptual formulation on four-dimensional inverse planning for intensity modulated radiation therapy

Lee

et al. 2009

Phys. Med. Biol.

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“…A method commonly employed is linear programming. We should also mention quadratic programming (Redpath et al 1975(Redpath et al , 1976. In both cases, the variables are the doses delivered by each beam; all the other parameters are fixed by the radiotherapist.…”

Section: Institute Of Physics 1353mentioning

confidence: 99%

The use of a microcomputer for non-linear optimisation of doses in external radiotherapy

Legras

Lambert

et al. 1986

Phys. Med. Biol.

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The study presents software for a microcomputer designed to determine the optimum dose distribution in external radiotherapy, either by calculating the doses delivered and the field width (in linear programming) or, in addition, by calculating the beam geometry (non-linear optimisation). Various optimisation criteria can be selected, namely the homogeneity, the concentration on the target and the total dose in a sensitive area. The article outlines an example.

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Optimization of Treatment Plans, Inverse Planning

Bortfeld

Thieke

New Technologies in Radiation Oncology

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A set of Fortran subroutines for optimizing radiotherapy plans

Cited by 29 publications

References 7 publications

Conceptual formulation on four-dimensional inverse planning for intensity modulated radiation therapy

Conceptual formulation on four-dimensional inverse planning for intensity modulated radiation therapy

The use of a microcomputer for non-linear optimisation of doses in external radiotherapy

Optimization of Treatment Plans, Inverse Planning

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