SU-E-T-461: Fractionation Schedule Optimization for Lung Cancer Treatments Using Radiobiological and Dose Distribution Characteristics.
@article{Keller2012SUET461FS,
title={SU-E-T-461: Fractionation Schedule Optimization for Lung Cancer Treatments Using Radiobiological and Dose Distribution Characteristics.},
author={Harald Keller and Gabriel Meier and Andrew J. Hope and Matt Davison},
journal={Medical physics},
year={2012},
volume={39 6Part17},
pages={
3811
}
}PURPOSE
Lung cancer radiotherapy treatments employ a wide variety of fractionation protocols. The choice among protocols mostly depends on the size of the target volume (GTV or ITV) and the volume of normal tissue receiving a critical dose. Rigorous mathematical criteria for normal tissue (NT) dose distributions were derived to determine the type of dose per fraction schedule that maximizes linear-quadratic tumor effect.
METHODS
Selecting the individual doses per fraction that maximize a…
Figures and Topics from this paper
16 Citations
A novel dose-volume metric for optimizing therapeutic ratio through fractionation: retrospective analysis of lung cancer treatments.
- Medicine, PhysicsMedical physics
- 2013
The bifurcation numbers are strongly consistent with prescribed clinical fractionation protocols for NSCLC treatments and may assist in the selection of an appropriate fractionation once the dose distribution has been optimized.
Optimal fractionation in radiotherapy with multiple normal tissues.
- Mathematics, MedicineMathematical medicine and biology : a journal of the IMA
- 2016
This work presents a formulation of the optimal fractionation problem that includes multiple normal tissues, and establishes that the tumour-BE is quasiconcave in the number of fractions; this ultimately helps in identifying the optimal number of fractionation.
Imputing radiobiological parameters of the linear-quadratic dose-response model from a radiotherapy fractionation plan.
- MedicinePhysics in medicine and biology
- 2020
This manuscript exploits the structure of the problem and identifies all possible parameter values that render the given dosing plan optimal, in closed-form, and applies this formula to dosing-plans from three clinical studies published within the last two years.
The dependence of optimal fractionation schemes on the spatial dose distribution.
- Physics, MedicinePhysics in medicine and biology
- 2013
It is shown that the BED model supports hypofractionation for small tumors treated with rotation therapy, i.e. highly conformal techniques where a large volume of lung tissue is exposed to low but nonzero dose.
Simultaneous optimization of dose distributions and fractionation schemes in particle radiotherapy.
- Physics, MedicineMedical physics
- 2013
The paper presents a model that mimics an IMPT treatment with a single incident beam direction for which the optimal fractionation scheme can be determined despite the nonconvexity of the BED-based treatment planning problem, and demonstrates the emergence of nonuniform fractionation schemes that arise from the standard BED model when IMPT fields and fractionation Scheme are optimized simultaneously.
Spatiotemporally Optimal Fractionation in Radiotherapy
- Physics, MedicineINFORMS J. Comput.
- 2017
This work presents a spatiotemporally integrated formulation of the optimal fractionation problem using the standard log-linear-quadratic survival model and proposes an efficient convex programming method to approximately solve the resulting computationally difficult model.
Optimal modality selection in external beam radiotherapy.
- PhysicsMathematical medicine and biology : a journal of the IMA
- 2018
This work presents the first-ever mathematical formulation of the optimal modality selection problem and shows that this problem can be tackled by solving the Karush-Kuhn-Tucker conditions of optimality, which reduce to an analytically tractable quartic equation.
Robust, Non-stationary, and Adaptive Fractionation in Radiotherapy
- Physics
- 2018
The research objective of this dissertation is to develop efficient convex, robust, and dynamic optimization methods to formulate and approximately solve different nonadaptive and adaptive versions of the spatiobiologically integrated fractionation problem within the LQ framework.
Spatiotemporal radiotherapy planning using a global optimization approach.
- PhysicsPhysics in medicine and biology
- 2018
Numerical results validate that spatiotemporal plans are capable of delivering a larger BED to the target volume without increasing the BED in critical structures compared to conventional time-invariant plans.
