A moment-based approach for DVH-guided radiotherapy treatment plan optimization

M. Zarepisheh, M. Shakourifar, G. Trigila, P. S. Ghomi, S. Couzens, A. Abebe, L. Noreña, W. Shang, Steve B. Jiang, Y. Zinchenko

18 Scopus citations


The dose-volume histogram (DVH) is a clinically relevant criterion to evaluate the quality of a treatment plan. It is hence desirable to incorporate DVH constraints into treatment plan optimization for intensity modulated radiation therapy. Yet, the direct inclusion of the DVH constraints into a treatment plan optimization model typically leads to great computational difficulties due to the non-convex nature of these constraints. To overcome this critical limitation, we propose a new convex-moment-based optimization approach. Our main idea is to replace the non-convex DVH constraints by a set of convex moment constraints. In turn, the proposed approach is able to generate a Pareto-optimal plan whose DVHs are close to, or if possible even outperform, the desired DVHs. In particular, our experiment on a prostate cancer patient case demonstrates the effectiveness of this approach by employing two and three moment formulations to approximate the desired DVHs.

Original languageEnglish (US)
Pages (from-to)1869-1887
Number of pages19
JournalPhysics in Medicine and Biology
Issue number6
StatePublished - Mar 21 2013

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging
  • Radiological and Ultrasound Technology

Cite this

Zarepisheh, M., Shakourifar, M., Trigila, G., Ghomi, P. S., Couzens, S., Abebe, A., Noreña, L., Shang, W., Jiang, S. B., & Zinchenko, Y. (2013). A moment-based approach for DVH-guided radiotherapy treatment plan optimization. Physics in Medicine and Biology, 58(6), 1869-1887. https://doi.org/10.1088/0031-9155/58/6/1869