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Computational Motion Phantoms and Statistical Models of Respiratory Motion

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4D Modeling and Estimation of Respiratory Motion for Radiation Therapy

Abstract

Breathing motion is not a robust and 100 % reproducible process, and inter- and intra-fractional motion variations form an important problem in radiotherapy of the thorax and upper abdomen. A widespread consensus nowadays exists that it would be useful to use prior knowledge about respiratory organ motion and its variability to improve radiotherapy planning and treatment delivery. This chapter discusses two different approaches to model the variability of respiratory motion. In the first part, we review computational motion phantoms, i.e. computerized anatomical and physiological models. Computational phantoms are excellent tools to simulate and investigate the effects of organ motion in radiation therapy and to gain insight into methods for motion management. The second part of this chapter discusses statistical modeling techniques to describe the breathing motion and its variability in a population of 4D images. Population-based models can be generated from repeatedly acquired 4D images of the same patient (intra-patient models) and from 4D images of different patients (inter-patient models). The generation of those models is explained and possible applications of those models for motion prediction in radiotherapy are exemplified. Computational models of respiratory motion and motion variability have numerous applications in radiation therapy, e.g. to understand motion effects in simulation studies, to develop and evaluate treatment strategies or to introduce prior knowledge into the patient-specific treatment planning.

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Notes

  1. 1.

    http://dmip1.rad.jhmi.edu/xcat/

  2. 2.

    Note that in general iterative optimization methods are used to compute the static velocity field of the composition \(T_{p\rightarrow ref}=\varPsi _{p\rightarrow ref}\circ T_{p}\circ \varPsi _{p\rightarrow ref}^{-1}\).

References

  1. Admiraal, M.A., Schuring, D., Hurkmans, C.W.: Dose calculations accounting for breathing motion in stereotactic lung radiotherapy based on 4D-CT and the internal target volume. Radiother Oncol 86(1), 55–60 (2008)

    Article  Google Scholar 

  2. Arnold, P., Preiswerk, F., Fasel, B., Salomir, R., Scheffler, K., Cattin, P.C.: 3D organ motion prediction for MR-guided high intensity focused ultrasound. Med Image Comput Comput Assist Interv 14(Pt 2), 623–630 (2011)

    Google Scholar 

  3. Arsigny, V., Commowick, O., Pennec, X., Ayache, N.: A log-euclidean framework for statistics on diffeomorphisms. In: Larsen R., Nielsen M., Sporring J. (eds.) Medical Image Computing and Computer-Assisted Intervention, MICCAI 2006. Lecture Notes in Computer Science, vol. 4190, pp. 924–931. Springer (2006) PMID: 17354979

    Google Scholar 

  4. Ashburner, J.: A fast diffeomorphic image registration algorithm. Neuroimage 38(1), 95–113 (2007)

    Article  Google Scholar 

  5. Beg, M.F., Miller, M.I., Trouvé, A., Younes, L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int J Comput Vis 61(2), 139–157 (2005)

    Article  Google Scholar 

  6. von Berg, J., Barschdorf, H., Blaffert, T., Kabus, S., Lorenz, C.: Surface based cardiac and respiratory motion extraction motion extraction for pulmonary structures from multi-phase CT. In: Proceeding of SPIE Medical Imaging, vol. 6511, pp. 65, 110Y1-11 (2007)

    Google Scholar 

  7. Bergner, F., Berkus, T., Oelhafen, M., Kunz, P., Pan, T., Grimmer, R., Ritschl, L., Kachelriess, M.: An investigation of 4D cone-beam CT algorithms for slowly rotating scanners. Med Phys 37(9), 5044–5053 (2010)

    Article  Google Scholar 

  8. Blackall, J.M., Ahmad, S., Miquel, M.E., McClelland, J.R., Landau, D.B., Hawkes, D.J.: MRI-based measurements of respiratory motion variability and assessment of imaging strategies for radiotherapy planning. Phys Med Biol 51(17), 4147 (2006)

    Article  Google Scholar 

  9. Blaffert, T., Barschdorf, H., von Berg, J., Dries, S., Franz, A., Klinder, T., Lorenz, C., Renisch, S., Wiemker, R.: Lung lobe modeling and segmentation with individualized surface meshes. In: SPIE: medical imaging, society of photo-optical instrumentation engineers (SPIE) conference series, vol. 6914 (2008)

    Google Scholar 

  10. Bortfeld, T., Jiang, S., Rietzel, E.: Effects of motion on the total dose distribution. Semin Radiat Oncol 14(1), 41–51 (2004)

    Article  Google Scholar 

  11. Brock, K.K., Consortium, D.R.A.: Results of a multi-institution deformable registration accuracy study (MIDRAS). Int J Radiat Oncol Biol Phys 76(2), 583–596 (2010)

    Article  Google Scholar 

  12. Chandrashekara, R., Rao, A., Sanchez-Ortiz, G., Mohiaddin, R., Rueckert, D.: Construction of a statistical model for cardiac motion analysis using nonrigid image registration. In: Goos G., Hartmanis J., van Leeuwen J. (eds.) Proceeding of the Information Processing in Medical Imaging, Lecture Notes in Computer Science, vol. 2732, pp. 599–610. Springer (2003)

    Google Scholar 

  13. Cristy, M., Eckerman, K.: Specific absorbed fractions of energy at various ages from internal photon sources: 7, adult male. Technical report. Oak Ridge National Laboratory, TN (1987)

    Google Scholar 

  14. Dinkel, J., Hintze, C., Tetzlaff, R., Huber, P.E., Herfarth, K., Debus, J., Kauczor, H.U., Thieke, C.: 4D-MRI analysis of lung tumor motion in patients with hemidiaphragmatic paralysis. Radiother Oncol 91(3), 449–454 (2009)

    Article  Google Scholar 

  15. Dupuis, P., Grenander, U.: Variational problems on flows of diffeomorphisms for image matching. Q Appl Math LVI(3), 587–600 (1998)

    MathSciNet  Google Scholar 

  16. Durrleman, S., Pennec, X., Trouvé, A., Gerig, G., Ayache, N.: Spatiotemporal atlas estimation for developmental delay detection in longitudinal datasets. Med Image Comput Comput Assist Interv 12(Pt 1), 297–304 (2009)

    Google Scholar 

  17. Ehrhardt, J., Werner, R., Schmidt-Richberg, A., Handels, H.: A statistical shape and motion model for the prediction of respiratory lung motion. In: Dawant B.M., Haynor D.R. (eds.) Medical Imaging 2010: Image Processing, vol. 7623, pp. 53–62. SPIE (2010)

    Google Scholar 

  18. Ehrhardt, J., Werner, R., Schmidt-Richberg, A., Handels, H.: Statistical modeling of 4D respiratory lung motion using diffeomorphic image registration. IEEE Trans Med Imaging 30(2), 251–265 (2011, in press)

    Google Scholar 

  19. Ehrhardt, J., Werner, R., Schmidt-Richberg, A., Schulz, B., Handels, H.: Generation of a mean motion model of the lung using 4D CT data. In: Botha, C., Kindlmann, G., Niessen, J., Preim, B. (eds.) Visual Computing for Biomedicine, pp. 69–76. Eurographics Association, Delft (2008)

    Google Scholar 

  20. Grenander, U., Miller, M.I.: Computational anatomy: an emerging discipline. Q Appl Math LVI(4), 617–694 (1998)

    MathSciNet  Google Scholar 

  21. Gu, J., Bednarz, B., Xu, X.G., Jiang, S.B.: Assessment of patient organ doses and effective doses using the vip-man adult male phantom for selected cone-beam CT imaging procedures during image guided radiation therapy. Radiat Prot Dosim 131(4), 431–443 (2008)

    Article  Google Scholar 

  22. Guckenberger, M., Wilbert, J., Krieger, T., Richter, A., Baier, K., Meyer, J., Flentje, M.: Four-Dimensional treatment planning for stereotactic body radiotherapy. Int J Radiat Oncol Biol Phys 69(1), 276–285 (2007)

    Article  Google Scholar 

  23. Guimond, A., Meunier, J., Thirion, J.P.: Average brain models: A convergence study. Comput Vis Image Underst 77(2), 192–210 (2000)

    Article  Google Scholar 

  24. He, B., Du, Y., Segars, W.P., Wahl, R.L., Sgouros, G., Jacene, H., Frey, E.C.: Evaluation of quantitative imaging methods for organ activity and residence time estimation using a population of phantoms having realistic variations in anatomy and uptake. Med Phys 36(2), 612–619 (2009)

    Article  Google Scholar 

  25. He, T., Xue, Z., Xie, W., Wong, S.T.C.: Online 4-D CT estimation for patient-specific respiratory motion based on real-time breathing signals. Med Image Comput Comput Assist Interv 13(Pt 3), 392–399 (2010)

    Google Scholar 

  26. Heimann, T., Meinzer, H.P.: Statistical shape models for 3D medical image segmentation: A review. Med Image Anal 13(4), 543–563 (2009)

    Article  Google Scholar 

  27. Hellier, P., Barillot, C., Corouge, I., Gibaud, B., Le Goualher, G., Collins, D., Evans, A., Malandain, G., Ayache, N., Christensen, G., Johnson, H.: Retrospective evaluation of intersubject brain registration. IEEE Trans Med Imaging 22(9), 1120–1130 (2003)

    Article  Google Scholar 

  28. Hernandez, M., Bossa, M.N., Olmos, S.: Registration of anatomical images using paths of diffeomorphisms parameterized with stationary vector field flows. Int J Comput Vis 85, 291–306 (2009)

    Article  Google Scholar 

  29. Joshi, S., Davis, B., Jomier, M., Gerig, G.: Unbiased diffeomorphic atlas construction for computational anatomy. Neuroimage 23(Suppl 1), S151–S160 (2004)

    Article  Google Scholar 

  30. Kabus, S., Klinder, T., Murphy, K., Ginneken, B.v., Lorenz, C., Pluim, J.: Evaluation of 4D-CT lung registration. In: MICCAI, vol. 5761, pp. 747–54 (2009)

    Google Scholar 

  31. Karakatsanis, N., Loudos, G., Nikita, K.: A methodology for optimizing the acquisition time of a clinical PET scan using GATE. In: IEEE Nuclear Science Symposium Conference Record (NSS/MIC), pp. 2896–2901 (2009)

    Google Scholar 

  32. Kaus, M.R., McNutt, T., Shoenbill, J.: Model-based segmentation for treatment planning with Pinnacle3. philips white paper. Techncal report. Philips Healthcare, Andover (2006)

    Google Scholar 

  33. Keall, P.: 4-dimensional computed tomography imaging and treatment planning. Semin Radiat Oncol 14(1), 81–90 (2004)

    Article  ADS  Google Scholar 

  34. Keall, P.J., Joshi, S., Vedam, S.S., Siebers, J.V., Kini, V.R., Mohan, R.: Four-dimensional radiotherapy planning for DMLC-based respiratory motion tracking. Med Phys 32(4), 942–951 (2005)

    Article  Google Scholar 

  35. Keall, P.J., Mageras, G., Balter, J.M., et al.: The management of respiratory motion in radiation oncology report of AAPM task group 76. Med Phys 33(10), 3874–3900 (2006)

    Article  Google Scholar 

  36. King, A., Buerger, C., Tsoumpas, C., Marsden, P., Schaeffter, T.: Thoracic respiratory motion estimation from MRI using a statistical model and a 2-D image navigator. Med Image Anal 16(1), 252–264 (2012)

    Article  Google Scholar 

  37. Klein, A., Andersson, J., Ardekani, B.A., Ashburner, J., Avants, B., Chiang, M.C.C., Christensen, G.E., Collins, D.L., Gee, J., Hellier, P., Song, J.H.H., Jenkinson, M., Lepage, C., Rueckert, D., Thompson, P., Vercauteren, T., Woods, R.P., Mann, J.J., Parsey, R.V.: Evaluation of 14 nonlinear deformation algorithms applied to human brain mri registration. NeuroImage 46(3), 786–802 (2009)

    Article  Google Scholar 

  38. Klinder, T., Lorenz, C., Ostermann, J.: Free-breathing intra- and intersubject respiratory motion capturing, modeling, and prediction. In: Pluim J.P.W., Dawant B.M. (eds.) Medical Imaging 2009: Image Processing, vol. 7259, p. 72590T. SPIE (2009)

    Google Scholar 

  39. Klinder, T., Lorenz, C., Ostermann, J.: Prediction framework for statistical respiratory motion modeling. Med Image Comput Comput Assist Interv 13(Pt 3), 327–334 (2010)

    Google Scholar 

  40. Kramer R. an Zankl, M., Williams, G., Drexler, G.: The calculation of dose from external photon exposures using reference human phantoms and monte carlo methods. Part I: The male (ADAM) and female (EVA) adult mathematical phantoms. Technical Report. GSF-Report S-885, Institut fuer Strahlenschutz, GSF-Forschungszentrum fuer Umwelt und Gesundheit, Neuherberg (1982)

    Google Scholar 

  41. Kramer, R., Khoury, H.J., Vieira, J.W., Lima, V.J.M.: Max06 and fax06: update of two adult human phantoms for radiation protection dosimetry. Phys Med Biol 51(14), 3331–3346 (2006)

    Article  Google Scholar 

  42. Lamare, F., Cresson, T., Savean, J., Rest, C.C.L., Reader, A.J., Visvikis, D.: Respiratory motion correction for PET oncology applications using affine transformation of list mode data. Phys Med Biol 52(1), 121–140 (2007)

    Article  Google Scholar 

  43. Low, D.A., Parikh, P.J., Lu, W., Dempsey, J.F., Wahab, S.H., Hubenschmidt, J.P., Nystrom, M.M., Handoko, M., Bradley, J.D.: Novel breathing motion model for radiotherapy. Int J Radiat Oncol Biol Phys 63(3), 921–929 (2005)

    Article  Google Scholar 

  44. Lu, W., Olivera, G.H., Chen, Q., Chen, M.L., Ruchala, K.J.: Automatic re-contouring in 4D radiotherapy. Phys Med Biol 51(5), 1077 (2006)

    Article  Google Scholar 

  45. Marsland, S., Twining, C.J.: Constructing an atlas for the diffeomorphism group of a compact manifold with boundary, with application to the analysis of image registrations. J Comput Appl Math 222(2), 411–428 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  46. McClelland, J.R., Blackall, J.M., Tarte, S., Chandler, A.C., Hughes, S., Ahmad, S., Landau, D.B., Hawkes, D.J.: A continuous 4D motion model from multiple respiratory cycles for use in lung radiotherapy. Med Phys 33(9), 3348–3358 (2006)

    Article  Google Scholar 

  47. McGurk, R., Seco, J., Riboldi, M., Wolfgang, J., Segars, P., Paganetti, H.: Extension of the NCAT phantom for the investigation of intra-fraction respiratory motion in IMRT using 4D monte carlo. Phys Med Biol 55(5), 1475–1490 (2010)

    Article  Google Scholar 

  48. Miller, M.I.: Computational anatomy: shape, growth, and atrophy comparison via diffeomorphisms. Neuroimage 23(Suppl 1), S19–S33 (2004)

    Article  Google Scholar 

  49. Murphy, K., van Ginneken, B., Reinhardt, J.M., et al.: Evaluation of registration methods on thoracic CT: the EMPIRE10 challenge. IEEE Trans Med Imaging 30(11), 1901–1920 (2011)

    Article  Google Scholar 

  50. Nehmeh, S.A., Erdi, Y.E., Pan, T., Yorke, E., Mageras, G.S., Rosenzweig, K.E., Schoder, H., Mostafavi, H., Squire, O., Pevsner, A., Larson, S.M., Humm, J.L.: Quantitation of respiratory motion during 4D-PET/CT acquisition. Med Phys 31(6), 1333–1338 (2004)

    Article  Google Scholar 

  51. Nguyen, T.N., Moseley, J.L., Dawson, L.A., Jaffray, D.A., Brock, K.K.: Adapting liver motion models using a navigator channel technique. Med Phys 36(4), 1061–1073 (2009)

    Article  Google Scholar 

  52. Park, H., Bland, P.H., Hero, A.O., Meyer, C.R.: Least biased target selection in probabilistic atlas construction. Med Image Comput Comput Assist Interv 8(Pt 2), 419–426 (2005)

    Google Scholar 

  53. Peyrat, J.M., Delingette, H., Sermesant, M., Pennec, X., Xu, C., Ayache, N.: Registration of 4D time-series of cardiac images with multichannel diffeomorphic demons. Med Image Comput Comput Assist Interv 11(Pt 2), 972–979 (2008)

    Google Scholar 

  54. Preiswerk, F., Arnold, P., Fasel, B., Cattin, P.C.: Robust tumour tracking from 2D imaging using a population-based statistical motion model. In: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA). Breckenridge (2012)

    Google Scholar 

  55. Pretorius, P.H., King, M.A., Tsui, B.M., LaCroix, K.J., Xia, W.: A mathematical model of motion of the heart for use in generating source and attenuation maps for simulating emission imaging. Med Phys 26(11), 2323–2332 (1999)

    Article  Google Scholar 

  56. Qiu, A., Albert, M., Younes, L., Miller, M.I.: Time sequence diffeomorphic metric mapping and parallel transport track time-dependent shape changes. Neuroimage 45(1 Suppl), S51–S60 (2009)

    Article  Google Scholar 

  57. Ragan, D.: Semiautomated four-dimensional computed tomography segmentation using deformable models. Med Phys 32, 2254 (2005)

    Article  Google Scholar 

  58. Reyes, M., Malandain, G., Koulibaly, P.M., González-Ballester, M.A., Darcourt, J.: Model-based respiratory motion compensation for emission tomography image reconstruction. Phys Med Biol 52(12), 3579 (2007)

    Article  Google Scholar 

  59. Riboldi, M., Chen, G.T.Y., Baroni, G., Paganetti, H., Seco, J.: Design and testing of a simulation framework for dosimetric motion studies integrating an anthropomorphic computational phantom into four-dimensional monte carlo. Technol Cancer Res Treat 7(6), 449–456 (2008)

    Google Scholar 

  60. Rietzel, E., Chen, G.T.Y., Choi, N.C., Willet, C.G.: Four-dimensional image-based treatment planning: Target volume segmentation and dose calculation in the presence of respiratory motion. Int J Radiat Oncol Biol Phys 61(5), 1535–1550 (2005)

    Article  Google Scholar 

  61. Rijkee, A.G., Zoetelief, J., Raaijmakers, C.P.J., Marck, S.C.V.D., Zee, W.V.D.: Assessment of induction of secondary tumours due to various radiotherapy modalities. Radiat Prot Dosim 118(2), 219–226 (2006)

    Article  Google Scholar 

  62. Rosu, M., Hugo, G.D.: Advances in 4D radiation therapy for managing respiration: Part II - 4D treatment planning. Z Med Phys 22, 272–280 (2012)

    Article  Google Scholar 

  63. Sarrut, D.: Deformable registration for image-guided radiation therapy. Z Med Phys 16(4), 285–297 (2006)

    Google Scholar 

  64. Schweikard, A., Glosser, G., Bodduluri, M., Murphy, M.J., Adler, J.R.: Robotic motion compensation for respiratory movement during radiosurgery. Comput Aided Surg 5(4), 263–277 (2000)

    Article  Google Scholar 

  65. Schweikard, A., Shiomi, H., Adler, J.: Respiration tracking in radiosurgery. Med Phys 31(10), 2738–2741 (2004)

    Article  Google Scholar 

  66. Segars, W., Lalush, D., Tsui, B.: Modeling respiratory mechanics in the MCAT and spline-based MCAT phantoms. IEEE Trans Nucl Sci 48(1), 89–97 (2001)

    Article  ADS  Google Scholar 

  67. Segars, W., Mahesh, M., Beck, T., Frey, E., Tsui, B.: Realistic ct simulation using the 4D XCAT phantom. Med Phys 35(8), 3800–3808 (2008)

    Article  Google Scholar 

  68. Segars, W.P.: Development and application of the new dynamic nurbs-based cardiac-torso (ncat) phantom. Ph.D. thesis, University of North Carolina (2001)

    Google Scholar 

  69. Segars, W.P., Sturgeon, G., Li, X., Cheng, L., Ceritoglu, C., Ratnanather, J.T., Miller, M.I., Tsui, B.M.W., Frush, D., Samei, E.: Patient specific computerized phantoms to estimate dose in pediatric ct. In: Samei E., Hsieh J. (eds.) Medical Imaging 2009: Physics of Medical Imaging, vol. 7258, pp. 0H1-0H8. SPIE (2009)

    Google Scholar 

  70. Segars, W.P., Sturgeon, G., Mendonca, S., Grimes, J., Tsui, B.M.W.: 4D XCAT phantom for multimodality imaging research. Med Phys 37(9), 4902–4915 (2010)

    Article  Google Scholar 

  71. Segars, W.P., Tsui, B.M.W.: Study of the efficacy of respiratory gating in myocardial SPECT using the new 4-D NCAT phantom. IEEE Trans Nucl Sci 49, 675–679 (2002)

    Article  ADS  Google Scholar 

  72. Shirato, H., Shimizu, S., Kitamura, K., Nishioka, T., Kagei, K., Hashimoto, S., Aoyama, H., Kunieda, T., Shinohara, N., Dosaka-Akita, H., Miyasaka, K.: Four-dimensional treatment planning and fluoroscopic real-time tumor tracking radiotherapy for moving tumor. Int J Radiat Oncol Biol Phys 48(2), 435–442 (2000)

    Article  Google Scholar 

  73. von Siebenthal, M., Székely, G., Lomax, A., Cattin, P.: Inter-subject modelling of liver deformation during radiation therapy. Med Image Comput Comput Assist Interv 10(Pt 1), 659–666 (2007)

    Google Scholar 

  74. Snyder, W.S., Fisher, H.L., Ford, M.R., Warner, G.G.: Estimates of absorbed fractions for monoenergetic photon sources uniformly distributed in various organs of a heterogeneous phantom. J Nucl Med 10(Suppl 3), 7–52 (1969)

    Google Scholar 

  75. Spitzer, V., Ackerman, M.J., Scherzinger, A.L., Whitlock, D.: The visible human male: a technical report. J Am Med Inform Assoc 3(2), 118–130 (1996)

    Article  Google Scholar 

  76. Sundaram, T.A., Avants, B.B., Gee, J.C.: A dynamic model of average lung deformation using capacity-based reparameterization and shape averaging of lung MR images. In: Barillot C., Haynor D.R., Hellier P. (eds.) Medical Image Computing and Computer-Assisted Intervention, MICCAI 2004. Lecture Notes in Computer Science, vol. 3217, pp. 1000–1007. Springer (2004)

    Google Scholar 

  77. Sundaram, T.A., Avants, B.B., Gee, J.C.: Towards a dynamic model of pulmonary parenchymal deformation: evaluation of methods for temporal reparameterization of lung data. In: Med Image Comput Comput Assist Interv Int Conf Med Image Comput Comput Assist Interv 8, 328–335 (2005)

    Google Scholar 

  78. Trouve, A.: Diffeomorphisms groups and pattern matching in image analysis. Int J Comput Vis 28(3), 213–221 (1998)

    Article  MathSciNet  Google Scholar 

  79. Tward, D.J., Ceritoglu, C., Kolasny, A., Sturgeon, G.M., Segars, W.P., Miller, M.I., Ratnanather, J.T.: Patient specific dosimetry phantoms using multichannel lddmm of the whole body. J Biomedical Imaging 3(1—-3), 9 (2011)

    Google Scholar 

  80. Vaillant, M., Miller, M.I., Younes, L., Trouvé, A.: Statistics on diffeomorphisms via tangent space representations. Neuroimage 23(Suppl 1), S161–S169 (2004)

    Article  Google Scholar 

  81. Vedam, S.S., Keall, P.J., Docef, A., Todor, D.A., Kini, V.R., Mohan, R.: Predicting respiratory motion for four-dimensional radiotherapy. Med Phys 31(8), 2274–2283 (2004)

    Article  Google Scholar 

  82. Vedam, S.S., Keall, P.J., Kini, V.R., Mostafavi, H., Shukla, H.P., Mohan, R.: Acquiring a four-dimensional computed tomography dataset using an external respiratory signal. Phys Med Biol 48(1), 45–62 (2003)

    Article  Google Scholar 

  83. Vercauteren, T., Pennec, X., Perchant, A., Ayache, N.: Diffeomorphic demons: efficient non-parametric image registration. Neuroimage 45(1 Suppl), S61–S72 (2009)

    Article  Google Scholar 

  84. Wang, B., Goldstein, M., Xu, X.G., Sahoo, N.: Adjoint monte carlo method for prostate external photon beam treatment planning: an application to 3D patient anatomy. Phys Med Biol 50(5), 923–935 (2005)

    Article  Google Scholar 

  85. Wang, H., Dong, L., O’Daniel, J., Mohan, R., Garden, A.S., Ang, K.K., Kuban, D.A., Bonnen, M., Chang, J.Y., Cheung, R.: Validation of an accelerated ‘demons’ algorithm for deformable image registration in radiation therapy. Phys Med Biol 50(12), 2887 (2005)

    Article  Google Scholar 

  86. Wang, H., Garden, A.S., Zhang, L., Wei, X., Ahamad, A., Kuban, D.A., Komaki, R., O’Daniel, J., Zhang, Y., Mohan, R., Dong, L.: Performance evaluation of automatic anatomy segmentation algorithm on repeat or four-dimensional computed tomography images using deformable image registration method. Int J Radiat Oncol Biol Phys 72(1), 210–219 (2008)

    Article  Google Scholar 

  87. Wang, J., Byrne, J., Franquiz, J., McGoron, A.: Evaluation of amplitude-based sorting algorithm to reduce lung tumor blurring in PET images using 4D NCAT phantom. Comput Methods Programs Biomed 87(2), 112–122 (2007)

    Article  Google Scholar 

  88. Werner, R., Ehrhardt, J., Schmidt-Richberg, A., Albers, D., Frenzel, T., Petersen, C., Cremers, F., Handels, H.: Towards accurate dose accumulation for step- &-shoot IMRT: Impact of weighting schemes and temporal image resolution on the estimation of dosimetric motion effects. Z Med Phys 22, 109–122 (2012)

    Article  Google Scholar 

  89. Werner, R., Ehrhardt, J., Schmidt-Richberg, A., Handels, H.: Model-based risk assessment for motion effects in 3D radiotherapy of lung tumors. In: III D.R.H., Wong K.H. (eds.) Medical Imaging 2012: Image-Guided Procedures, Robotic Interventions, and Modeling, vol. 8316, pp. 0C1-0C8. SPIE (2012)

    Google Scholar 

  90. Xu, X., Chao, T.C., Bozkurt, A., Shi, C., Zhang, J.: The 3D and 4D VIP-man computational phantoms. In: Handbook of Anatomical Models for Radiation Dosimetry, pp. 135–162. Taylor & Francis (2009)

    Google Scholar 

  91. Xu, X.G.: Handbook of Anatomical Models for Radiation Dosimetry, Chap. Computational Phantoms for Radiation Dosimetry: A 40-year history of evolution, pp. 3–41. Taylor & Francis, London (2009)

    Google Scholar 

  92. Xu, X.G., Bednarz, B., Paganetti, H.: A review of dosimetry studies on external-beam radiation treatment with respect to second cancer induction. Phys Med Biol 53(13), R193–R241 (2008)

    Article  ADS  Google Scholar 

  93. Xu, X.G., Chao, T.C., Bozkurt, A.: VIP-man:An image-based whole-body adult male model constructed from color photographs of the visible human project for multi-particle monte carlo calculations. Health Phys 78(5), 476–486 (2000)

    Article  Google Scholar 

  94. Xu, X.G., Eckerman, K.F. (eds.): Handbook of anatomical models for radiation dosimetry. Taylor & Francis, London (2009)

    Google Scholar 

  95. Xu, X.G., Stabin, M.G., Bolch, W.E., Segars, W.P.: Summary and future needs related to computational phantoms. In: Handbook of Anatomical Models for Radiation Dosimetry, pp. 679–683. Taylor & Francis (2009)

    Google Scholar 

  96. Zankl, M., Veit, R., Williams, G., Schneider, K., Fendel, H., Petoussi, N., Drexler, G.: The construction of computer tomographic phantoms and their application in radiology and radiation protection. Radiat Environ Biophys 27, 153–164 (1988). doi:10.1007/BF01214605

    Article  Google Scholar 

  97. Zhang, J., Xu, G.X., Shi, C., Fuss, M.: Development of a geometry-based respiratory motion-simulating patient model for radiation treatment dosimetry. J Appl Clin Med Phys 9(1), 2700 (2008)

    Google Scholar 

  98. Zhang, Q., Hu, Y.C., Liu, F., Goodman, K., Rosenzweig, K.E., Mageras, G.S.: Correction of motion artifacts in cone-beam CT using a patient-specific respiratory motion model. Med Phys 37(6), 2901–2909 (2010)

    Article  Google Scholar 

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Correspondence to Jan Ehrhardt .

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Ehrhardt, J., Klinder, T., Lorenz, C. (2013). Computational Motion Phantoms and Statistical Models of Respiratory Motion. In: Ehrhardt, J., Lorenz, C. (eds) 4D Modeling and Estimation of Respiratory Motion for Radiation Therapy. Biological and Medical Physics, Biomedical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36441-9_10

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  • DOI: https://doi.org/10.1007/978-3-642-36441-9_10

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