Direct optimization of dose–volume histogram metrics in radiation therapy treatment planning

@article{Zhang2020DirectOO,
  title={Direct optimization of dose–volume histogram metrics in radiation therapy treatment planning},
  author={Tianfang Zhang and Rasmus Bokrantz and Jimmy Olsson},
  journal={Biomedical Physics \& Engineering Express},
  year={2020},
  volume={6}
}
We present a method of directly optimizing on deviations in clinical goal values in radiation therapy treatment planning. Using a new mathematical framework in which metrics derived from the dose–volume histogram are regarded as functionals of an auxiliary random variable, we are able to obtain volume-at-dose and dose-at-volume as infinitely differentiable functions of the dose distribution with easily evaluable function values and gradients. Motivated by the connection to risk measures in… 

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