Abstract
Purpose: To introduce the concept of energy minimization-based inverse optimization for external beam radiotherapy. Materials and Methods: Mathematical formulation of energy minimization-based inverse optimization is presented. This mathematical representation is compared to the most commonly used dose-volume based formulation used in inverse optimization. A simple example on digitally created phantom is demonstrated. The phantom consists of three sections: a target surrounded by high and low density regions. The target is irradiated with two beams passing through those regions. Inverse optimization with dose-volume and energy minimization-based objective functions is performed. The dosimetric properties of the two optimization results are evaluated. Results: Dose-volume histograms for all the volumes of interest used for dose optimization are compared. Energy-based optimization results in higher maximum dose to the volumes that are used as dose-limiting structures. However, the average and the integral doses delivered for the volumes outside of the target are larger with dose-volume optimization. Conclusion: Mathematical formulation of energy minimization-based inverse optimization is derived. The optimization applied on the digital phantom shows that energy minimization-based approach tends to deliver somewhat higher maximum doses compared to standard of care, realized with dose-volume based optimization. At the same time, however, the energy minimization-based optimization reduces much more significantly the average and the integral doses.
| Original language | English (US) |
|---|---|
| Article number | 181 |
| Journal | Frontiers in Oncology |
| Volume | 4 JUL |
| DOIs | |
| State | Published - 2014 |
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Keywords
- Dose
- Energy
- Integral dose
- Inverse optimization
- Mass
- Volume
ASJC Scopus subject areas
- Cancer Research
- Oncology
Cite this
Mathematical formulation of energy minimization - based inverse optimization. / Mihaylov, Ivaylo B.
In: Frontiers in Oncology, Vol. 4 JUL, 181, 2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Mathematical formulation of energy minimization - based inverse optimization
AU - Mihaylov, Ivaylo B
PY - 2014
Y1 - 2014
N2 - Purpose: To introduce the concept of energy minimization-based inverse optimization for external beam radiotherapy. Materials and Methods: Mathematical formulation of energy minimization-based inverse optimization is presented. This mathematical representation is compared to the most commonly used dose-volume based formulation used in inverse optimization. A simple example on digitally created phantom is demonstrated. The phantom consists of three sections: a target surrounded by high and low density regions. The target is irradiated with two beams passing through those regions. Inverse optimization with dose-volume and energy minimization-based objective functions is performed. The dosimetric properties of the two optimization results are evaluated. Results: Dose-volume histograms for all the volumes of interest used for dose optimization are compared. Energy-based optimization results in higher maximum dose to the volumes that are used as dose-limiting structures. However, the average and the integral doses delivered for the volumes outside of the target are larger with dose-volume optimization. Conclusion: Mathematical formulation of energy minimization-based inverse optimization is derived. The optimization applied on the digital phantom shows that energy minimization-based approach tends to deliver somewhat higher maximum doses compared to standard of care, realized with dose-volume based optimization. At the same time, however, the energy minimization-based optimization reduces much more significantly the average and the integral doses.
AB - Purpose: To introduce the concept of energy minimization-based inverse optimization for external beam radiotherapy. Materials and Methods: Mathematical formulation of energy minimization-based inverse optimization is presented. This mathematical representation is compared to the most commonly used dose-volume based formulation used in inverse optimization. A simple example on digitally created phantom is demonstrated. The phantom consists of three sections: a target surrounded by high and low density regions. The target is irradiated with two beams passing through those regions. Inverse optimization with dose-volume and energy minimization-based objective functions is performed. The dosimetric properties of the two optimization results are evaluated. Results: Dose-volume histograms for all the volumes of interest used for dose optimization are compared. Energy-based optimization results in higher maximum dose to the volumes that are used as dose-limiting structures. However, the average and the integral doses delivered for the volumes outside of the target are larger with dose-volume optimization. Conclusion: Mathematical formulation of energy minimization-based inverse optimization is derived. The optimization applied on the digital phantom shows that energy minimization-based approach tends to deliver somewhat higher maximum doses compared to standard of care, realized with dose-volume based optimization. At the same time, however, the energy minimization-based optimization reduces much more significantly the average and the integral doses.
KW - Dose
KW - Energy
KW - Integral dose
KW - Inverse optimization
KW - Mass
KW - Volume
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U2 - 10.3389/fonc.2014.00181
DO - 10.3389/fonc.2014.00181
M3 - Article
AN - SCOPUS:84904631669
VL - 4 JUL
JO - Frontiers in Oncology
JF - Frontiers in Oncology
SN - 2234-943X
M1 - 181
ER -