A Response Surface Approach to Beam Orientation Optimization in Intensity-Modulated Radiation Therapy Treatment Planning

Published Online:https://doi.org/10.1287/ijoc.1080.0279

References

  • Aleman D. M., Romeijn H. E., Dempsey J. F. Beam orientation optimization methods in intensity modulated radiation therapy treatment planning. IIE Conf. Proc. (2006) May 16–20Orlando, FL(Institute of Industrial Engineers, Norcross, GA) Google Scholar
  • 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. (2008) 42:587–607CrossrefGoogle Scholar
  • Barrientos O., Correa R. An algorithm for global minimization of linearly constrained quadratic functions. J. Global Optim. (2000) 16:77–93CrossrefGoogle Scholar
  • Bomze I. Branch-and-bound approaches to standard quadratic optimization problems. J. Global Optim. (2002) 22:17–37CrossrefGoogle Scholar
  • Bortfeld T., Schlegel W. Optimization of beam orientations in radiation therapy: Some theoretical considerations. Phys. Medicine Biol. (1993) 38:291–304CrossrefGoogle Scholar
  • Breedveld S., Storchi P. R., Keijzer M., Heemink A. W., Heijmen B. J. A novel approach to multi-criteria inverse planning for IMRT. Phys. Medicine Biol. (2007) 52:6339–6353CrossrefGoogle Scholar
  • Cambini R., Sodini C. Decomposition methods for solving nonconvex quadratic programs via branch and bound. J. Global Optim. (2005) 33:313–336CrossrefGoogle Scholar
  • Chen G. T., Spelbring D. R., Pelizzari C. A., Balter J. M., Myrianthopoulos L. C., Vijayakumar S., Halpern H. The use of beam's eye view volumetrics in the selection of non-coplanar radiation portals. Internat. J. Radiat. Oncol. Biol. Phys. (1992) 23:153–163CrossrefGoogle Scholar
  • Cho B. C. J., Roa H. W., Robinson D., Murray B. The development of target-eye-view maps for selection of coplanar or noncoplanar beams in conformal radiotherapy treatment planning. Medical Phys. (1999) 26:2367–2372CrossrefGoogle Scholar
  • Craft D., Halabi T., Shih H. A., Bortfeld T. An approach for practical multiobjective IMRT treatment planning. Internat. J. Radiat. Oncol. Biol. Phys. (2007) 69:1600–1607CrossrefGoogle Scholar
  • Csallner A. E., Csendes T., Markót M. C. Multisection in interval branch-and-bound methods for global optimization I. Theoretical results. J. Global Optim. (2000) 16:371–392CrossrefGoogle Scholar
  • Das S. K., Marks L. B. Selection of coplanar or noncoplanar beams using three-dimensional optimization based on maximum beam separation and minimized nontarget irradiation. Internat. J. Radiat. Oncol. Biol. Phys. (1997) 38:643–655CrossrefGoogle Scholar
  • Djajaputra D., Wu Q., Wu Y., Mohan R. Algorithm and performance of a clinical IMRT beam-angle optimization system. Phys. Medicine Biol. (2003) 48:3191–3212CrossrefGoogle Scholar
  • Epperly T. G. W., Pistikopoulos E. N. A reduced space branch and bound algorithm for global optimization. J. Global Optim. (1997) 11:287–311CrossrefGoogle Scholar
  • Ezzell G. A. Genetic and geometric optimization of three-dimensional radiation therapy treatment planning. Medical Phys. (1996) 23:293–305CrossrefGoogle Scholar
  • Fox C., Romeijn H. E., Dempsey J. F. Fast voxel and polygon ray-tracing algorithms for IMRT treatment planning. Medical Phys. (2006) 33:1364–1371CrossrefGoogle Scholar
  • Goitein M., Abrams M., Rowell D., Pollari H., Wiles J. Multi-dimensional treatment planning: II. Beam's eye-view, back projection, and projection through CT sections. Internat. J. Radiat. Oncol. Biol. Phys. (1983) 9:789–797CrossrefGoogle Scholar
  • Gokhale P., Hussein E. M., Kulkarni N. The use of beam's eye view volumetrics in the selection of non-coplanar radiation portals. Medical Phys. (1994) 23:153–163Google Scholar
  • Haas O. C., Burnham K. J., Mills J. Optimization of beam orientation in radiotherapy using planar geometry. Phys. Medicine Biol. (1998) 43:2179–2193CrossrefGoogle Scholar
  • Holder A., Salter B., Greenberg H. A tutorial on radiation oncology and optimization. Tutorials on Emerging Methodologies and Applications in Operations Research (2004) (Kluwer Academic Press, Boston) . Chapter 4Google Scholar
  • Jones D. R. A taxonomy of global optimization methods based on response surfaces. J. Global Optim. (2001) 21:345–383CrossrefGoogle Scholar
  • Jones D. R., Schonlau M., Welch W. J. Efficient global optimization of expensive black-box functions. J. Global Optim. (1998) 13:455–492CrossrefGoogle Scholar
  • Lagouanelle J., Soubry G. Optimal multisections in interval branch-and-bound methods of global optimization. J. Global Optim. (2004) 30:23–38CrossrefGoogle Scholar
  • Lee E. K., Fox T., Crocker I. Integer programming applied to intensity-modulated radiation therapy treatment planning. Ann. Oper. Res. (2003) 119:165–181CrossrefGoogle Scholar
  • Lee E. K., Fox T., Crocker I. Simultaneous beam geometry and intensity map optimization in intensity-modulated radiation therapy. Internat. J. Radiat. Oncol. Biol. Phys. (2006) 64:301–320CrossrefGoogle Scholar
  • Li Y., Yao J., Yao D. Automatic beam angle selection in IMRT planning using genetic algorithm. Phys. Medicine Biol. (2004) 49:1915–1932CrossrefGoogle Scholar
  • Li Y., Yao J., Yao D., Chen W. A particle swarm optimization algorithm for beam angle selection in intensity-modulated radiotherapy planning. Phys. Medicine Biol. (2005) 50:3491–3514CrossrefGoogle Scholar
  • Lim G. J., Choi J., Mohan R. Iterative solution methods for beam angle and fluence map optimization in IMRT. OR Spectrum (2008) 30:289–309CrossrefGoogle Scholar
  • Lu H. M., Kooy H. M., Leber Z. H., Ledoux R. J. Optimized beam planning for linear accelerator-based stereotactic radiosurgery. Internat. J. Radiat. Oncol. Biol. Phys. (1997) 39:1183–1189CrossrefGoogle Scholar
  • Meedt G., Alber M., Nüsslin F. Non-coplanar beam direction optimization for intensity-modulated radiotherapy. Phys. Medicine Biol. (2003) 48:2999–3019CrossrefGoogle Scholar
  • Morrill S. M., Lane R. G., Jacobson G., Rosen I. I. Treatment planning optimization using constrained simulated annealing. Phys. Medicine Biol. (1991) 36:1341–1361CrossrefGoogle Scholar
  • Oldham M., Khoo V., Rowbottom C. G., Bedford J., Webb S. A case study comparing the relative benefit of optimising beam-weights, wedge-angles, beam orientations and tomotherapy in stereotactic radiotherapy of the brain. Phys. Medicine Biol. (1998) 43:2123–2146CrossrefGoogle Scholar
  • Phong T. Q., An L. T. H., Tao P. D. Decomposition branch and bound method for globally solving linearly constrained indefinite quadratic minimization problems. Oper. Res. Lett. (1995) 17:215–220CrossrefGoogle Scholar
  • Pugachev A., Xing L. Computer-assisted selection of coplanar beam orientations in intensity-modulated radiation therapy. Phys. Medicine Biol. (2001a) 46:2467–2476CrossrefGoogle Scholar
  • Pugachev A., Xing L. Pseudo beam's-eye-view as applied to beam orientation selection in intensity-modulated radiation therapy. Internat. J. Radiat. Oncol. Biol. Phys. (2001b) 51:1361–1370CrossrefGoogle Scholar
  • Pugachev A., Xing L. Incorporating prior knowledge into beam orientation optimization in IMRT. Internat. J. Radiat. Oncol. Biol. Phys. (2002) 54:1565–1574CrossrefGoogle Scholar
  • Romeijn H. E., Dempsey J. F., Li J. G. A unifying framework for multi-criteria fluence map optimization models. Phys. Medicine Biol. (2004) 49:1991–2013CrossrefGoogle Scholar
  • Romeijn H. E., Ahuja R. K., Dempsey J. F., Kumar A., Li J. G. A novel linear programming approach to fluence map optimization for intensity modulated radiation therapy treatment planning. Phys. Medicine Biol. (2003) 48:3521–3542CrossrefGoogle Scholar
  • Rowbottom C. G., Oldham M., Webb S. Constrained customization of non-coplanar beam orientations in radiotherapy of brain tumours. Phys. Medicine Biol. (1999a) 44:383–399CrossrefGoogle Scholar
  • Rowbottom C. G., Webb S., Oldham M. Improvements in prostate radiotherapy from the customization of beam directions. Medical Phys. (1998) 25:1171–1179CrossrefGoogle Scholar
  • Rowbottom C. G., Webb S., Oldham M. Beam-orientation customization using an artificial neural network. Phys. Medicine Biol. (1999b) 44:2251–2262CrossrefGoogle Scholar
  • Schreibmann E., Lahanas M., Xing L., Baltas D. Multiobjective evolutionary optimization of the number of beams, their orientations and weights for intensity-modulated radiation therapy. Phys. Medicine Biol. (2004) 49:747–770CrossrefGoogle Scholar
  • Shi L., Meyer R. R., D'Souza W., Zhang H. H. Using nested partitions for beam angle selection in intensity-modulated radiation therapy. National Science Foundation Design and Manufacturing Innovation Grantees Conf. Proc. (2006) St. Louis(National Science Foundation, Arlington, VA) Google Scholar
  • Söderstrom S., Brahme A. Selection of suitable beam orientations in radiation therapy using entropy and Fourier transform measures. Phys. Medicine Biol. (1992) 37:911–924CrossrefGoogle Scholar
  • Söderstrom S., Brahme A. Which is the most suitable number of photon beam portals in coplanar radiation therapy? Internat. J. Radiat. Oncol. Biol. Phys. (1995) 33:151–159CrossrefGoogle Scholar
  • Stein J., Mohan R., Wang X. H., Bortfeld T., Wu Q., Preiser K., Ling C. C., Schlegel W. Number and orientations of beams in intensity-modulated radiation treatments. Medical Phys. (1997) 24:149–160CrossrefGoogle Scholar
  • Thieke C., Küfer K. H., Monz M., Scherrer A., Alonso F., Oelfke U., Huber P. E., Debus J., Bortfeld T. A new concept for interactive radiotherapy planning with multicriteria optimization: First clinical evaluation. Radiotherapy Oncology (2007) 85:292–298CrossrefGoogle Scholar
  • Thoai V. N. Convergence of duality bound method in partly convex programming. J. Global Optim. (2002) 22:263–270CrossrefGoogle Scholar
  • Tuy H. On solving nonconvex optimization problems by reducing the duality gap. J. Global Optim. (2005) 32:349–365CrossrefGoogle Scholar
  • Wang X., Zhang X., Dong L., Liu H., Wu Q., Mohan R. Development of methods for beam angle optimization for IMRT using an accelerated exhaustive search strategy. Internat. J. Radiat. Oncol. Biol. Phys. (2004) 60:1325–1337CrossrefGoogle Scholar
  • Wang X., Zhang X., Dong L., Liu H., Gillin M., Ahamad A., Ang K., Mohan R. Effectiveness of noncoplanar IMRT planning using a parallelized multiresolution beam angle optimization method for paranasal sinus carcinoma. Internat. J. Radiat. Oncol. Biol. Phys. (2005) 63:594–601CrossrefGoogle Scholar
  • Woudstra E., Heijman B. J. M. Automated beam angle and weight selection in radiotherapy treatment planning applied to pancreas tumors. Internat. J. Radiat. Oncol. Biol. Phys. (2004) 56:878–888CrossrefGoogle Scholar
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