AdaRad swMATH ID: 43987 Software Authors: Fu, Anqi; Xing, Lei; Boyd, Stephen Description: Operator splitting for adaptive radiation therapy with nonlinear health dynamics. We present an optimization-based approach to radiation treatment planning over time. Our approach formulates treatment planning as an optimal control problem with nonlinear patient health dynamics derived from the standard linear-quadratic cell survival model. As the formulation is nonconvex, we propose a method for obtaining an approximate solution by solving a sequence of convex optimization problems. This method is fast, efficient, and robust to model error, adapting readily to changes in the patient”s health between treatment sessions. Moreover, we show that it can be combined with the operator splitting method ADMM to produce an algorithm that is highly scalable and can handle large clinical cases. We introduce an open-source Python implementation of our algorithm, AdaRad, and demonstrate its performance on several examples. Homepage: https://arxiv.org/abs/2105.01286 Source Code: https://github.com/anqif/adarad Dependencies: Python Keywords: radiation therapy; treatment planning; nonconvex optimization; distributed optimization; optimal control; model predictive control; mathematical programming Related Software: DCCP; Python; CVXPY; ECOS; Mosek Cited in: 1 Publication Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Operator splitting for adaptive radiation therapy with nonlinear health dynamics. Zbl 07634919Fu, Anqi; Xing, Lei; Boyd, Stephen 2022 Cited by 3 Authors 1 Boyd, Stephen Poythress 1 Fu, Anqi 1 Xing, Lei Cited in 1 Serial 1 Optimization Methods & Software Cited in 2 Fields 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year