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An Optimization Approach for Noncoplanar Intensity-Modulated Arc Therapy Trajectories

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Computational Science and Its Applications – ICCSA 2019 (ICCSA 2019)

Abstract

The latest generation of linear accelerators allows the simultaneous motion of gantry and couch leading to highly noncoplanar arc trajectories. The use of noncoplanar trajectories in arc radiotherapy was recently proposed to combine the benefits of arc treatment plans, such as short treatment times, with the benefits of step-and-shoot noncoplanar intensity-modulated radiation therapy (IMRT) treatment plans, such as improved organ sparing. In this paper, a two-step approach for the optimization of highly noncoplanar arc trajectories is presented and tested using a complex nasopharyngeal tumor case already treated at the Portuguese Institute of Oncology of Coimbra. In the first step, a set of noncoplanar beam directions is calculated resorting to one of the beam angle optimization (BAO) algorithms proposed in our previous works for step-and-shoot IMRT. In the second step, anchored in the points (beam directions) calculated in the first step, the proposed optimization strategy determines iteratively more anchor points that will define the noncoplanar arc trajectory, considering the dosimetric criteria used for the noncoplanar BAO search rather than geometric or time criteria commonly used. For the patient tested, the resulting noncoplanar arc therapy plan has undoubtedly greater overall quality compared to both the coplanar arc therapy plan and the typically used coplanar equispaced step-and-shoot IMRT plan.

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References

  1. Bangert, M., Ziegenhein, P., Oelfke, U.: Comparison of beam angle selection strategies for intracranial IMRT. Med. Phys. 40, 011716 (2013)

    Article  Google Scholar 

  2. Bedford, J.L.: Treatment planning for volumetric modulated arc therapy. Med. Phys. 36, 5128–5138 (2009)

    Article  Google Scholar 

  3. Otto, K.: Volumetric modulated arc therapy: IMRT in a single gantry arc. Med. Phys. 35, 310–317 (2008)

    Article  Google Scholar 

  4. Yu, C.X.: Intensity-modulated arc therapy with dynamic multileaf collimation: an alternative to tomotherapy. Phys. Med. Biol. 40, 1435–1449 (1995)

    Article  Google Scholar 

  5. Yang, Y., et al.: Choreographing couch and collimator in volumetric modulated arc therapy. Int. J. Radiat. Oncol. Biol. Phys. 80, 1238–1247 (2011)

    Article  Google Scholar 

  6. MacDonald, R.L., Thomas, C.G.: Dynamic trajectory-based couch motion for improvement of radiation therapy trajectories in cranial SRT. Med. Phys. 42, 2317–2325 (2015)

    Article  Google Scholar 

  7. Smyth, G., et al.: Non-coplanar trajectories to improve organ at risk sparing in volumetric modulated arc therapy for primary brain tumors. Radiother. Oncol. 121, 124–131 (2016)

    Article  Google Scholar 

  8. Smyth, G., Bamber, J.C., Evans, P.M., Bedford, J.L.: Trajectory optimisation for dynamic couch rotation during volumetric modulated arc radiotherapy. Phys. Med. Biol. 58, 8163–8177 (2013)

    Article  Google Scholar 

  9. Papp, D., Bortfeld, T., Unkelbach, J.: A modular approach to intensity-modulated arc therapy optimization with noncoplanar trajectories. Phys. Med. Biol. 60, 5179–5198 (2015)

    Article  Google Scholar 

  10. Wild, E., Bangert, M., Nill, S., Oelfke, U.: Noncoplanar VMAT for nasopharyngeal tumors: plan quality versus treatment time. Med. Phys. 42, 2157–2168 (2015)

    Article  Google Scholar 

  11. Langhans, M., Unkelbach, J., Bortfeld, T., Craft, D.: Optimizing highly noncoplanar VMAT trajectories: the NoVo method. Phys. Med. Biol. 63, 025023 (2018)

    Article  Google Scholar 

  12. Rocha, H., Dias, J., Ventura, T., Ferreira, B.C., Lopes, M.C.: A derivative-free multistart framework for an automated noncoplanar beam angle optimization in IMRT. Med. Phys. 43, 5514–5526 (2016)

    Article  Google Scholar 

  13. Dias, J., Rocha, H., Ventura, T., Ferreira, B.C., Lopes, M.C.: Automated fluence map optimization based on fuzzy inference systems. Med. Phys. 43, 1083–1095 (2016)

    Article  Google Scholar 

  14. Breedveld, S., Storchi, P., Keijzer, M., Heemink, A.W., Heijmen, B.: A novel approach to multi-criteria inverse planning for IMRT. Phys. Med. Biol. 52, 6339–6353 (2007)

    Article  Google Scholar 

  15. Breedveld, S., Storchi, P., Heijmen, B.: The equivalence of multicriteria methods for radiotherapy plan optimization. Phys. Med. Biol. 54, 7199–7209 (2009)

    Article  Google Scholar 

  16. Breedveld, S., Storchi, P., Voet, P., Heijmen, B.: iCycle: integrated, multicriterial beam angle, and profile optimization for generation of coplanar and noncoplanar IMRT plans. Med. Phys. 39, 951–963 (2012)

    Article  Google Scholar 

  17. Dias, J., Rocha, H., Ferreira, B.C., Lopes, M.C.: Simulated annealing applied to IMRT beam angle optimization: a computational study. Phys. Med. 31, 747–756 (2015)

    Article  Google Scholar 

  18. Aleman, D.M., Kumar, A., Ahuja, R.K., Romeijn, H.E., Dempsey, J.F.: Neighborhood search approaches to beam orientation optimization in intensity modulated radiation therapy treatment planning. J. Global Optim. 42, 587–607 (2008)

    Article  MathSciNet  Google Scholar 

  19. Craft, D.: Local beam angle optimization with linear programming and gradient search. Phys. Med. Biol. 52, 127–135 (2007)

    Article  Google Scholar 

  20. Lim, G.J., Cao, W.: A two-phase method for selecting IMRT treatment beam angles: Branch-and-Prune and local neighborhood search. Eur. J. Oper. Res. 217, 609–618 (2012)

    Article  MathSciNet  Google Scholar 

  21. Dias, J., Rocha, H., Ferreira, B.C., Lopes, M.C.: A genetic algorithm with neural network fitness function evaluation for IMRT beam angle optimization. Cent. Eur. J. Oper. Res. 22, 431–455 (2014)

    Article  MathSciNet  Google Scholar 

  22. Bertsimas, D., Cacchiani, V., Craft, D., Nohadani, O.: A hybrid approach to beam angle optimization in intensity-modulated radiation therapy. Comput. Oper. Res. 40, 2187–2197 (2013)

    Article  MathSciNet  Google Scholar 

  23. Bangert, M., Ziegenhein, P., Oelfke, U.: Characterizing the combinatorial beam angle selection problem. Phys. Med. Biol. 57, 6707–6723 (2012)

    Article  Google Scholar 

  24. Rocha, H., Dias, J., Ferreira, B.C., Lopes, M.C.: Selection of intensity modulated radiation therapy treatment beam directions using radial basis functions within a pattern search methods framework. J. Global Optim. 57, 1065–1089 (2013)

    Article  MathSciNet  Google Scholar 

  25. Rocha, H., Dias, J., Ferreira, B.C., Lopes, M.C.: Beam angle optimization for intensity-modulated radiation therapy using a guided pattern search method. Phys. Med. Biol. 58, 2939–2953 (2013)

    Article  Google Scholar 

  26. Rocha, H., Dias, J., Ferreira, B.C., Lopes, M.C.: Pattern search methods framework for beam angle optimization in radiotherapy design. Appl. Math. Comput. 219, 10853–10865 (2013)

    MathSciNet  MATH  Google Scholar 

  27. Rocha, H., Dias, J., Ferreira, B.C., Lopes, M.C.: Noncoplanar beam angle optimization in IMRT treatment planning using pattern search methods. J. Phys.: Conf. Ser. 616, 012014 (2015)

    Google Scholar 

  28. Rocha, H., Dias, J., Ventura, T., Ferreira, B.C., Lopes, M.C.: Beam angle optimization in IMRT: are we really optimizing what matters? Int. Trans. Oper. Res. 26, 908–928 (2019)

    Article  MathSciNet  Google Scholar 

  29. Rocha, H., Dias, J., Ventura, T., Ferreira, B., do Carmo Lopes, M.: Comparison of combinatorial and continuous frameworks for the beam angle optimization problem in IMRT. In: Gervasi, O., et al. (eds.) ICCSA 2018. LNCS, vol. 10961, pp. 593–606. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-95165-2_42

    Chapter  Google Scholar 

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Acknowledgments

This work has been supported by project grant POCI-01-0145-FEDER-028030 and by the Fundação para a Ciência e a Tecnologia (FCT) under project grant UID/Multi/00308/2019. The authors show gratitude to Ben Heijmen and Sebastiaan Breedveld for giving permission and helping them to install Erasmus-iCycle.

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Rocha, H., Dias, J., Ventura, T., Ferreira, B., do Carmo Lopes, M. (2019). An Optimization Approach for Noncoplanar Intensity-Modulated Arc Therapy Trajectories. In: Misra, S., et al. Computational Science and Its Applications – ICCSA 2019. ICCSA 2019. Lecture Notes in Computer Science(), vol 11621. Springer, Cham. https://doi.org/10.1007/978-3-030-24302-9_15

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  • DOI: https://doi.org/10.1007/978-3-030-24302-9_15

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