The first direct method of spot sparsity optimization for proton arc therapy

References

• Ding X, Li X, Zhang JM, et al. Spot-scanning proton arc (sparc) therapy: the first robust and delivery-efficient spot-scanning proton arc therapy. Int J Radiat Oncol Biol Phys. 2016;96(5):1107–1116.
   PubMed Web of Science ®Google Scholar
• Liu G, Li X, Qin A, et al. Is proton beam therapy ready for single fraction spine sbrs?–a feasibility study to use spot-scanning proton arc (sparc) therapy to improve the robustness and dosimetric plan quality. Acta Oncol. 2021;60(5):653–657.
   PubMed Web of Science ®Google Scholar
• Liu G, Li X, Zhao L, et al. A novel energy sequence optimization algorithm for efficient spot-scanning proton arc (sparc) treatment delivery. Acta Oncol. 2020;59(10):1178–1185.
   PubMed Web of Science ®Google Scholar
• Gu W, Ruan D, Lyu Q, et al. A novel energy layer optimization framework for spot-scanning proton arc therapy. Med Phys. 2020;47(5):2072–2084.
   PubMed Web of Science ®Google Scholar
• Engwall E, Battinelli C, Wase V, et al. Fast robust optimization of proton pbs arc therapy plans using early energy layer selection and spot assignment. Phys. Med. Biol. 2022;67(6):065010.
   Web of Science ®Google Scholar
• Wuyckens S, Saint-Guillain M, Janssens G, et al. Treatment planning in arc proton therapy: comparison of several optimization problem statements and their corresponding solvers. Comput Biol Med. 2022;148:105609.
   PubMed Web of Science ®Google Scholar
• Zhang G, Shen H, Lin Y, et al. Energy layer optimization via energy matrix regularization for proton spot-scanning arc therapy. Med Phys. 2022;49(9):5752–5762.
   PubMed Web of Science ®Google Scholar
• Zhao L, Liu G, Li X, et al. An evolutionary optimization algorithm for proton arc therapy. Phys. Med. Biol. 2022;67(16):16NT01.
   Web of Science ®Google Scholar
• Zhao L, Liu G, Chen S, et al. Developing an accurate model of spot-scanning treatment delivery time and sequence for a compact superconducting synchrocyclotron proton therapy system. Radiat Oncol. 2022;17(1):1–19.
   PubMed Web of Science ®Google Scholar
• Peleg D, Meir R. A bilinear formulation for vector sparsity optimization. Signal Process. 2008;88(2):375–389.
   Web of Science ®Google Scholar
• Ito K, Kunisch K. A variational approach to sparsity optimization based on lagrange multiplier theory. Inverse Prob. 2014;30(1):015001.
   Web of Science ®Google Scholar
• Nikolova M. Relationship between the optimal solutions of least squares regularized with 0-norm and constrained by k-sparsity. Appl Comput Harmon Anal. 2016;41(1):237–265.
   Web of Science ®Google Scholar
• Donoho DL, Tsaig Y, Drori I, et al. Sparse solution of underdetermined systems of linear equations by stagewise orthogonal matching pursuit. IEEE Trans Inf Theory. 2012;58(2):1094–1121.
   Web of Science ®Google Scholar
• Feng M, Mitchell JE, Pang JS, et al. Complementarity formulations of l0-norm optimization problems. Industrial Engineering and management sciences technical report northwestern university, Evanston, IL, USA. 2013. 5.
   Google Scholar
• Kumar S, Mamun K, Sharma A. Csp-tsm: optimizing the performance of riemannian tangent space mapping using common spatial pattern for mi-bci. Comput Biol Med. 2017;91:231–242.
   PubMed Web of Science ®Google Scholar
• Bergounioux M, Ito K, Kunisch K. Primal-dual strategy for constrained optimal control problems. SIAM J Control Optim. 1999;37(4):1176–1194.
   Web of Science ®Google Scholar
• Bagirov A, Karmitsa N, Mäkelä MM. Introduction to nonsmooth optimization: theory, practice and software. Vol. 12. Switzerland: Springer International Publishing; 2014.
   Google Scholar
• Jiao Y, Jin B, Lu X. A primal dual active set with continuation algorithm for the 0-regularized optimization problem. Appl Comput Harmon Anal. 2015;39(3):400–426.
   Web of Science ®Google Scholar
• Huang J, Jiao Y, Jin B, et al. A unified primal dual active set algorithm for nonconvex sparse recovery. Statistical Science. 2021;36(2):215–238.
   Web of Science ®Google Scholar
• Blumensath T. Accelerated iterative hard thresholding. Signal Process. 2012;92(3):752–756.
   Web of Science ®Google Scholar
• Sundström J. Scenario dose calculation for robust optimization in proton therapy treatment planning [master’s thesis]. Sweden: Lund University; 2021.
   Google Scholar
• Wieser HP, Cisternas E, Wahl N, et al. Development of the open-source dose calculation and optimization toolkit matrad. Med Phys. 2017;44(6):2556–2568.
   PubMed Web of Science ®Google Scholar
• Needell D, Vershynin R. Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit. Foundations of Computational Mathematics. 2009;9(3):317–334.
   Web of Science ®Google Scholar
• Onishi H, Shirato H, Nagata Y, et al. Stereotactic body radiotherapy (sbrt) for operable stage i non–small-cell lung cancer: can sbrt be comparable to surgery? Int J Radiat Oncol Biol Phys. 2011;81(5):1352–1358.
   PubMed Web of Science ®Google Scholar
• Khan FM, Gibbons JP. Khan’s the physics of radiation therapy. Philadelphia, PA: Lippincott Williams & Wilkins; 2014.
   Google Scholar
• RaySearch. RayStation product configurations overview brochure. Sweden; 2017.
   Google Scholar
• Gill PE, Murray W, Saunders MA, et al. User’s guide for npsol (version 4.0): a fortran package for nonlinear programming. Stanford Univ CA Systems Optimization Lab; 1986.
   Google Scholar
• Laboratories R. RayStation 6 user manual. Sweden; 2016. RSL-D-RS-6.0-USM-EN-1.0-2016-12-22.
   Google Scholar
• Laboratories R. A guide to optimization in RayStation. Sweden; 2016. RSL-D-RS-6.0-OPT-EN-1.0-2016-12-22.
   Google Scholar
• Kim S, Li J, Liu C, et al. Evaluation of intra-fraction patient movement for the head & neck imrt. Int J Radiat Oncol, Biol, Phys. 2002;54(2):319.
   Google Scholar
• Craft DL, Halabi TF, Shih HA, et al. Approximating convex pareto surfaces in multiobjective radiotherapy planning. Med Phys. 2006;33(9):3399–3407.
   PubMed Web of Science ®Google Scholar
• Kang JH, Wilkens JJ, Oelfke U. Demonstration of scan path optimization in proton therapy. Med Phys. 2007;34(9):3457–3464.
   PubMed Web of Science ®Google Scholar
• Pardo J, Donetti M, Bourhaleb F, et al. Heuristic optimization of the scanning path of particle therapy beams. Med Phys. 2009;36(6):2043–2051.
   PubMed Web of Science ®Google Scholar