Simultaneous optimization of isocenter locations and sector duration in radiosurgery

TL;DR

This paper introduces an integer programming model and a Benders decomposition approach for optimizing isocenter locations and sector durations in Gamma Knife radiosurgery, improving treatment plan quality and efficiency.

Contribution

It presents a novel SDIO model and solution method that effectively incorporates treatment time into radiosurgery planning, achieving plans that meet or surpass clinical standards.

Findings

Plans meet or exceed clinical guidelines

Optimized plans show high conformity

Method outperforms existing approaches

Abstract

Stereotactic radiosurgery is an effective technique to treat brain tumors for which several inverse planning methods may be appropriate. We propose an integer programming model to simultaneous sector duration and isocenter optimization (SDIO) problem for Leksell Gamma Knife{\textregistered} Icon{\texttrademark} (Elekta, Stockholm, Sweden) to tractably incorporate treatment time. We devise a Benders decomposition scheme to solve the SDIO problem to optimality. The performances of our approaches are assessed using anonymized data from eight previously treated cases, and obtained treatment plans are compared against each other and against the clinical plans. The plans generated by our SDIO model all meet or exceed clinical guidelines while demonstrating high conformity.