全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

A Molecular Dynamics Approach for Optimizing Beam Intensities in IMPT Treatment Planning

DOI: 10.4236/jamp.2019.79146, PP. 2130-2047

Keywords: Molecular Dynamics, Intensity-Modulated Proton Therapy, Quasi-Newton

Full-Text   Cite this paper   Add to My Lib

Abstract:

This paper uses a molecular dynamics (MD) method for intensity-modulated proton therapy treatment planning optimization to overcome the problem of gradient-based optimization methods such as quasi-Newton, which is sensitive to starting conditions and is easily trapped in local minima. We implemented a molecular dynamics (MD) method and a quasi-Newton method for plan optimization. Three types of cancer cases, prostate, head-and-neck and lung cancer, were tested with three starting different initial conditions. Overall, the MD method consistently resulted in solutions with lower objective function values (OFVs) compared to those from the quasi-Newton algorithm. Furthermore, the MD method converged on the same OFV regardless of its initial starting points used for the prostate cancer case.

References

[1]  Lim, G.J., et al. (2007) An Optimization Framework for Conformal Radiation Treatment Planning. Informs Journal on Computing, 19, 366-380.
https://doi.org/10.1287/ijoc.1060.0179
[2]  Cao, W., et al. (2013) Incorporating Deliverable Monitor Unit Constraints into Spot Intensity Optimization in Intensity-Modulated Proton Therapy Treatment Planning. Physics in Medicine & Biology, 58, 5113.
https://doi.org/10.1088/0031-9155/58/15/5113
[3]  Cao, W., et al. (2012) Uncertainty Incorporated Beam Angle Optimization for IMPT Treatment Planning. Medical Physics, 39, 5248-5256.
https://doi.org/10.1118/1.4737870
[4]  Zhang, X., et al. (2010) Intensity-Modulated Proton Therapy Reduces the Dose to Normal Tissue Compared with Intensity-Modulated Radiation Therapy or Passive Scattering Proton Therapy and Enables Individualized Radical Radiotherapy for Extensive Stage IIIB Non-Small-Cell Lung Cancer: A Virtual Clinical Study. International Journal of Radiation Oncology Biology Physics, 77, 357-366.
https://doi.org/10.1016/j.ijrobp.2009.04.028
[5]  Wu, X., Zhu, Y. and Luo, L. (2000) Linear Programming Based on Neural Networks for Radiotherapy Treatment Planning. Physics in Medicine and Biology, 45, 719.
https://doi.org/10.1088/0031-9155/45/3/310
[6]  Rosen, I.I., et al. (1991) Treatment Plan Optimization Using Linear Programming. Medical Physics, 18, 141-152.
https://doi.org/10.1118/1.596700
[7]  Cao, W. and Lim, G.J. (2010) Optimization Models for Cancer Treatment Planning. Wiley Encyclopedia of Operations Research and Management Science.
https://doi.org/10.1002/9780470400531.eorms0617
[8]  Langer, M., et al. (1996) A Comparison of Mixed Integer Programming and Fast Simulated Annealing for Optimizing Beam Weights in Radiation Therapy. Medical Physics, 23, 957-964.
https://doi.org/10.1118/1.597857
[9]  Lee, E.K., Fox, T. and Crocker, I. (2000) Optimization of Radiosurgery Treatment Planning via Mixed Integer Programming. Medical Physics, 27, 995-1004.
https://doi.org/10.1118/1.598964
[10]  Morrill, S., et al. (1991) Treatment Planning Optimization Using Constrained Simulated Annealing. Physics in Medicine and Biology, 36, 1341.
https://doi.org/10.1088/0031-9155/36/10/004
[11]  Ezzell, G.A. (1996) Genetic and Geometric Optimization of Three-Dimensional Radiation Therapy Treatment Planning. Medical Physics, 23, 293-305.
https://doi.org/10.1118/1.597660
[12]  Wu, X. and Zhu, Y. (2000) A Mixed-Encoding Genetic Algorithm with Beam Constraint for Conformal Radiotherapy Treatment Planning. Medical Physics, 27, 2508-2516.
https://doi.org/10.1118/1.1319377
[13]  Bortfeld, T., et al. (1990) Methods of Image Reconstruction from Projections Applied to Conformation Radiotherapy. Physics in Medicine and Biology, 35, 1423-1434.
https://doi.org/10.1088/0031-9155/35/10/007
[14]  Wu, Q. and Mohan, R. (2000) Algorithms and Functionality of an Intensity Modulated Radiotherapy Optimization System. Medical Physics, 27, 701-711.
https://doi.org/10.1118/1.598932
[15]  Zhang, X., et al. (2004) Speed and Convergence Properties of Gradient Algorithms for Optimization of IMRT. Medical Physics, 31, 1141-1152.
https://doi.org/10.1118/1.1688214
[16]  Pflugfelder, D., et al. (2008) A Comparison of Three Optimization Algorithms for Intensity Modulated Radiation Therapy. Zeitschrift für Medizinische Physik, 18, 111-119.
https://doi.org/10.1016/j.zemedi.2007.12.001
[17]  Lomax, A., Pedroni, E., Schaffner, B., Scheib, S., Schneider, U. and Tourovsky, A. (1996) 3D Treatment Planning for Conformal Proton Therapy by Spot Scanning. In: Proceedings of 19th LH Gray Conference, BIR, London, 67-71.
[18]  Lim, G.J. and Cao, W. (2012) A Two-Phase Method for Selecting IMRT Treatment Beam Angles: Branch-and-Prune and Local Neighborhood Search. European Journal of Operational Research, 217, 609-618.
https://doi.org/10.1016/j.ejor.2011.09.038
[19]  Xing, L., et al. (1999) Optimization of Importance Factors in Inverse Planning. Physics in Medicine and Biology, 44, 2525-2536.
https://doi.org/10.1088/0031-9155/44/10/311
[20]  Alber, M., et al. (2002) On the Degeneracy of the IMRT Optimization Problem. Medical Physics, 29, 2584-2589.
https://doi.org/10.1118/1.1500402
[21]  Webb, S. (2003) The Physical Basis of IMRT and Inverse Planning. British Journal of Radiology, 76, 678-689.
https://doi.org/10.1259/bjr/65676879
[22]  Deasy, J. (1997) Multiple Local Minima in Radiotherapy Optimization Problems with Dose-Volume Constraints. Medical Physics, 24, 1157-1161.
https://doi.org/10.1118/1.598017
[23]  Soukup, M., et al. (2009) Study of Robustness of IMPT and IMRT for Prostate Cancer against Organ Movement. International Journal of Radiation Oncology Biology Physics, 75, 941-949.
https://doi.org/10.1016/j.ijrobp.2009.04.032
[24]  Llacer, J., et al. (2004) Degeneracy, Frequency Response and Filtering in IMRT Optimization. Physics in Medicine and Biology, 49, 2853-2880.
https://doi.org/10.1088/0031-9155/49/13/007
[25]  Albertini, F., Hug, E. and Lomax, A. (2010) The Influence of the Optimization Starting Conditions on the Robustness of Intensity-Modulated Proton Therapy Plans. Physics in Medicine and Biology, 55, 2863-2878.
https://doi.org/10.1088/0031-9155/55/10/005
[26]  Hou, Q. and Wang, Y. (2001) Molecular Dynamics Used in Radiation Therapy. Physical Review Letters, 87, Article ID: 168101.
https://doi.org/10.1103/PhysRevLett.87.168101
[27]  Hou, Q., et al. (2003) An Optimization Algorithm for Intensity Modulated Radiotherapy—The Simulated Dynamics with Dose-Volume Constraints. Medical Physics, 30, 61-68.
https://doi.org/10.1118/1.1528179
[28]  Lim, G.J., Choi, J. and Mohan, R. (2008) Iterative Solution Methods for Beam Angle and Fluence Map Optimization in Intensity Modulated Radiation Therapy Planning. OR Spectrum, 30, 289-309.
https://doi.org/10.1007/s00291-007-0096-1
[29]  Romeijn, H.E., Dempsey, J.F. and Li, J.G. (2004) A Unifying Framework for Multi-Criteria Fluence Map Optimization Models. Physics in Medicine and Biology, 49, 1991-2013.
https://doi.org/10.1088/0031-9155/49/10/011
[30]  Liu, W., et al. (2012) Robust Optimization of Intensity Modulated Proton Therapy. Medical Physics, 39, 1079-1091.
https://doi.org/10.1118/1.3679340
[31]  Li, Y., Zhang, X. and Mohan, R. (2011) An Efficient Dose Calculation Strategy for Intensity Modulated Proton Therapy. Physics in Medicine and Biology, 56, N71.
https://doi.org/10.1088/0031-9155/56/4/N03
[32]  Lomax, A. (1999) Intensity Modulation Methods for Proton Radiotherapy. Physics in Medicine and Biology, 44, 185-205.
https://doi.org/10.1088/0031-9155/44/1/014
[33]  Ercolessi, F. (1997) A Molecular Dynamics Primer. Spring College in Computational Physics. ICTP, Trieste, 19.
[34]  Verlet, L. (1967) Computer “Experiments” on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules. Physical Review, 159, 98-103.
https://doi.org/10.1103/PhysRev.159.98
[35]  Swope, W.C., et al. (1982) A Computer Simulation Method for the Calculation of Equilibrium Constants for the Formation of Physical Clusters of Molecules: Application to Small Water Clusters. The Journal of Chemical Physics, 76, 637-649.
https://doi.org/10.1063/1.442716
[36]  Systems, V.M. (2007) Proton Algorithm Reference Guide, Chapter 6: Eclipse Proton Optimizer for Modulated Scanning. P/N B500299R01C.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133