A network flow algorithm to minimize beam-on time for unconstrained multileaf collimator problems in cancer radiation therapy, Networks, vol.25, issue.1, pp.36-41, 2005. ,
DOI : 10.1002/net.20047
Geant4 developments and applications, IEEE Transactions on Nuclear Science, vol.53, issue.1, pp.270-278, 2006. ,
DOI : 10.1109/TNS.2006.869826
URL : https://hal.archives-ouvertes.fr/in2p3-00069212
Overview of Geant4 applications in medical physics, 2003 IEEE Nuclear Science Symposium. Conference Record (IEEE Cat. No.03CH37515), pp.1743-1745, 2003. ,
DOI : 10.1109/NSSMIC.2003.1352215
URL : https://hal.archives-ouvertes.fr/in2p3-00069218
Decomposition of integer matrices and multileaf collimator sequencing, Discrete Applied Mathematics, vol.152, issue.1-3, pp.1-36, 2005. ,
DOI : 10.1016/j.dam.2005.04.008
The Road to Three-Dimensional Imaging in Orthodontics, Seminars in Orthodontics, vol.17, issue.1, pp.2-12, 2011. ,
DOI : 10.1053/j.sodo.2010.08.004
ESTAR, PSTAR, and ASTAR: Computer Programs for Calculating Stopping-Power and Range Tables for Electrons, Protons, and Helium Ions (version 1.2.3), 2005. ,
Motion in radiotherapy: particle therapy, Physics in Medicine and Biology, vol.56, issue.16, p.113, 2011. ,
DOI : 10.1088/0031-9155/56/16/R01
Dosimetric precision of an ion beam tracking system, Radiation Oncology, vol.5, issue.1, p.61, 2010. ,
DOI : 10.1186/1748-717X-5-61
Scanned carbon beam irradiation of moving films: comparison of measured and calculated response, Radiation Oncology, vol.7, issue.1, pp.55-67, 2012. ,
DOI : 10.1016/S0360-3016(02)02803-1
Towards Unlocking the Full Potential of Multileaf Collimators, SOFSEM 2014: Theory and Practice of Computer Science SE -13, pp.138-149, 2014. ,
DOI : 10.1007/978-3-319-04298-5_13
URL : https://hal.archives-ouvertes.fr/hal-00859708
Solution of an integral equation encountered in rotation therapy, Physics in Medicine and Biology, vol.27, issue.10, pp.1221-1229, 1982. ,
DOI : 10.1088/0031-9155/27/10/002
Direct aperture optimization as a means of reducing the complexity of intensity modulated radiation therapy plans, Radiation Oncology, vol.4, issue.1, p.8, 2009. ,
DOI : 10.1186/1748-717X-4-8
History and Applications of Accelerators. Lecture at CERN Accelerator School, Varn (Bulgaria), from http, 2010. ,
Open problem session, Oberwolfach Conference on Combinatorial Optimization, 2002. ,
Proton radiation therapy for head and neck cancer, Journal of Surgical Oncology, vol.62, issue.8, pp.97697-700, 2008. ,
DOI : 10.1002/jso.21013
Advantage of protons compared to conventional X-ray or IMRT in the treatment of a pediatric patient with medulloblastoma, International Journal of Radiation Oncology Biology, Physics, issue.3, pp.58727-734, 2004. ,
Advances in Radiotherapy and Implications for the Next Century: A Historical Perspective, Cancer Research, vol.69, issue.2, pp.383-392, 2009. ,
DOI : 10.1158/0008-5472.CAN-07-6871
SU-FF-T-291: Measurement of the Mechanical Isocenter of a Proton Gantry, Medical Physics, vol.34, issue.6, pp.342468-2468, 2007. ,
DOI : 10.1118/1.2760953
The Matrix Orthogonal Decomposition Problem in Intensity-Modulated Radiation Therapy, Computing and Combinatorics, pp.156-165, 2006. ,
DOI : 10.1007/11809678_18
Scanning proton beam radiotherapy under functional apnea, Proceedings of the 50th Conference of the Particle Therapy Co-Operative Group (PTCOG), 2011. ,
4D optimization of scanned ion beam tracking therapy for moving tumors, Physics in Medicine and Biology, vol.59, issue.13, pp.593431-3452, 2014. ,
DOI : 10.1088/0031-9155/59/13/3431
Proton radiation therapy (prt) for pediatric optic pathway gliomas: comparison with 3d planned conventional photons and a standard photon technique, International Journal of Radiation Oncology*Biology*Physics, vol.45, issue.5, pp.451117-1126, 1999. ,
DOI : 10.1016/S0360-3016(99)00337-5
Normal tissue complication probability (NTCP) calculations as a means to compare proton and photon plans and evaluation of clinical appropriateness of calculated values, International Journal of Cancer, vol.6, issue.6, pp.90351-358, 2000. ,
DOI : 10.1002/1097-0215(20001220)90:6<351::AID-IJC7>3.0.CO;2-J
The application of the sinusoidal model to lung cancer patient respiratory motion, Medical Physics, vol.31, issue.10, pp.2850-2861, 2005. ,
DOI : 10.1118/1.1774132
Proton therapy world market report, 2013. ,
Beam scanning for heavy charged particle radiotherapy, Medical Physics, vol.10, issue.6, pp.831-840, 1983. ,
DOI : 10.1118/1.595419
Motion compensation with a scanned ion beam: a technical feasibility study, Radiation Oncology, vol.3, issue.1, pp.34-40, 2008. ,
DOI : 10.1186/1748-717X-3-34
Present and future sources of protons and heavy ions, International Journal of Radiation Oncology*Biology*Physics, vol.3, issue.30, pp.71-80, 1977. ,
DOI : 10.1016/0360-3016(77)90230-9
Brachytherapy -Past, Present And Future YR, Journal of Medical Physics, vol.20, issue.2, pp.31-38, 1995. ,
Inverse radiation therapy planning ??? a multiple objective optimization approach, Discrete Applied Mathematics, vol.118, issue.1-2, pp.145-161, 2002. ,
DOI : 10.1016/S0166-218X(01)00261-X
Repeat CT imaging and replanning during the course of IMRT for head-and-neck cancer, International Journal of Radiation Oncology*Biology*Physics, vol.64, issue.2, pp.64355-362, 2006. ,
DOI : 10.1016/j.ijrobp.2005.07.957
Incorporating uncertainties in respiratory motion into 4D treatment plan optimization, Medical Physics, vol.34, issue.7, p.363059, 2009. ,
DOI : 10.1118/1.2436972
A pencil beam algorithm for proton dose calculations, Physics in Medicine and Biology, vol.41, issue.8, pp.411305-1330, 1996. ,
DOI : 10.1088/0031-9155/41/8/005
US Patent 6600810: Multiple layer multileaf collimator design to improve resolution and reduce leakage, 2003. ,
Assessment of respiratory cycle variability with and without training using a visual guide, Cancer Therapy, vol.6, pp.945-954, 2008. ,
Matplotlib: A 2D Graphics Environment, Computing in Science & Engineering, vol.9, issue.3, pp.90-95, 2007. ,
DOI : 10.1109/MCSE.2007.55
Prinzip einer methode zur herstellung von kanalstrahlen hoher voltzahl, Arkiv Fuer Matematik, issue.30, pp.181-185, 1924. ,
Minimum decomposition into convex binary matrices, Discrete Applied Mathematics, vol.160, issue.7-8, pp.1164-1175, 2012. ,
DOI : 10.1016/j.dam.2012.01.013
SciPy: Open source scientific tools for Python, 2001. ,
Demonstration of scan path optimization in proton therapy, Medical Physics, vol.37, issue.9, pp.3457-3464, 2007. ,
DOI : 10.1088/0031-9155/37/1/016
The management of respiratory motion in radiation oncology report of AAPM Task Group 76 Amercian Association of Physicists in Medicine, 2006. ,
The Physics of Radiation Therapy, 2010. ,
Conformal radiation therapy for childhood CNS tumors. The oncologist, pp.442-450, 2004. ,
18 years of conformation radiotherapy at Nagoya University Hospital, Nagoya journal of medical science, vol.59, issue.12, pp.17-24, 1996. ,
Dosimetric consequences of tumour motion due to respiration for a scanned proton beam, Physics in Medicine and Biology, vol.56, issue.20, pp.566563-6581, 2011. ,
DOI : 10.1088/0031-9155/56/20/003
Proton irradiation of the pituitary, Cancer, vol.72, issue.4, pp.795-798, 1957. ,
DOI : 10.1002/1097-0142(195707/08)10:4<795::AID-CNCR2820100426>3.0.CO;2-B
A comparison of proton and megavoltage X-ray treatment planning for prostate cancer, Radiotherapy and Oncology, vol.33, issue.3, pp.239-253, 1994. ,
DOI : 10.1016/0167-8140(94)90359-X
Conformal proton radiation therapy of the posterior fossa: a study comparing protons with three-dimensional planned photons in limiting dose to auditory structures, International Journal of Radiation Oncology*Biology*Physics, vol.48, issue.4, pp.481219-1226, 2000. ,
DOI : 10.1016/S0360-3016(00)00741-0
Delivery of four-dimensional radiotherapy with TrackBeam for moving target using a dual-layer MLC: dynamic phantoms study, Journal of Applied Clinical Medical Physics, vol.14, issue.1, pp.1-21, 2009. ,
DOI : 10.1120/jacmp.v10i2.2926
Dosimetric characteristics of dual-layer multileaf collimation for small-field and intensity-modulated radiation therapy applications, Journal of Applied Clinical Medical Physics, vol.33, issue.12, p.2709, 2008. ,
DOI : 10.1120/jacmp.v9i2.2709
A technique for the quantitative evaluation of dose distributions, Medical Physics, vol.23, issue.5, pp.656-661, 1998. ,
DOI : 10.1118/1.598248
A method for incorporating organ motion due to breathing into 3D dose calculations, Medical Physics, vol.21, issue.5, pp.715-720, 1999. ,
DOI : 10.1118/1.598577
Direct optimization of 3D dose distributions using collimator rotation, 2008. ,
TU-C-224A-06: Exploiting the Full Potential of MLC Based Aperture Optimization Through Collimator Rotation, Medical Physics, vol.33, issue.6, p.332191, 2006. ,
DOI : 10.1118/1.2241530
Respiratory gated irradiation system for heavy-ion radiotherapy, International Journal of Radiation Oncology*Biology*Physics, vol.47, issue.4, pp.471097-1103, 2000. ,
DOI : 10.1016/S0360-3016(00)00524-1
SU-FF-T-28: A New Concept of Multileaf Collimator (dual-Layer MLC), Medical Physics, vol.34, issue.6, p.342407, 2007. ,
DOI : 10.1118/1.2760673
US Patent 6907105: Methods and apparatus for planning and delivering intensity modulated radiation fields with a rotating multileaf collimator, 2005. ,
SU-FF-T-104: Rotating Aperture Optimization - Planning and Delivery Characteristics, Medical Physics, vol.32, issue.6, p.32, 1973. ,
DOI : 10.1118/1.1997775
Proton Therapy Physics, LLC, series in medical physics and biomedical engineering edition, 2012. ,
DOI : 10.1201/b11448
Proton Beam Radiotherapy -The State of the Art, Massachusetts General Hospital, 2005. ,
The PSI Gantry 2: a second generation proton scanning gantry, Zeitschrift für medizinische Physik, pp.25-34, 2004. ,
DOI : 10.1078/0939-3889-00194
How costly is particle therapy? Cost analysis of external beam radiotherapy with carbon-ions, protons and photons, Radiotherapy and Oncology, vol.95, issue.1, pp.45-53, 2010. ,
DOI : 10.1016/j.radonc.2009.12.002
Nobel Prize for medicine and physiology 1979 for A, Ned Tijdschr Geneeskd, issue.51, pp.1232192-2193, 1979. ,
TOPAS: An innovative proton Monte Carlo platform for research and clinical applications, Medical Physics, vol.41, issue.11, pp.396818-6837, 2012. ,
DOI : 10.1088/0031-9155/41/8/005
The Nobel Chronicles. The Lancet, p.1653, 1999. ,
On a new kind of rays, Nature, vol.53, pp.274-276, 1896. ,
Scanned Ion Beam Therapy of Moving Targets with Beam Tracking, Modern Practices in Radiation Therapy, pp.69-84, 2012. ,
DOI : 10.5772/35952
Toward Submillimeter Accuracy in the Management of Intrafraction Motion: The Integration of Real-Time Internal Position Monitoring and Multileaf Collimator Target Tracking, International Journal of Radiation Oncology*Biology*Physics, vol.74, issue.2, pp.74575-582, 2009. ,
DOI : 10.1016/j.ijrobp.2008.12.057
The SC cyclotron and beam lines of PSI???s new protontherapy facility PROSCAN, Physics Research Section B: Beam Interactions with Materials and Atoms, pp.773-776, 2007. ,
DOI : 10.1016/j.nimb.2007.04.052
Dose verification of rotating collimator intensity modulated radiation thearpy, 2006. ,
Breathing interplay effects during proton beam scanning: simulation and statistical analysis, Physics in Medicine and Biology, vol.54, issue.14, pp.54-283, 2009. ,
DOI : 10.1088/0031-9155/54/14/N01
Fast calculation of the exact radiological path for a three-dimensional CT array, Medical Physics, vol.12, issue.2, pp.252-255, 1985. ,
DOI : 10.1118/1.595715
The M. D. Anderson proton therapy system, The M. D. Anderson proton therapy system, pp.4068-4083, 2009. ,
DOI : 10.1088/0031-9155/50/3/011
URL : https://hal.archives-ouvertes.fr/in2p3-00277323
Two-dimensional pencil beam scaling: an improved proton dose algorithm for heterogeneous media, Physics in Medicine and Biology, vol.47, issue.18, pp.473313-3330, 2002. ,
DOI : 10.1088/0031-9155/47/18/304
IMRT sequencing for a six-bank multi-leaf system, Physics in Medicine and Biology, vol.50, issue.9, pp.2015-2031, 2005. ,
DOI : 10.1088/0031-9155/50/9/007
A six-bank multi-leaf system for high precision shaping of large fields, Physics in Medicine and Biology, vol.49, issue.12, pp.492645-2656, 2004. ,
DOI : 10.1088/0031-9155/49/12/012
The NumPy Array: A Structure for Efficient Numerical Computation, Computing in Science & Engineering, vol.13, issue.2, pp.22-30, 2011. ,
DOI : 10.1109/MCSE.2011.37
URL : https://hal.archives-ouvertes.fr/inria-00564007
Radiotherapy: Past and present, Archive of oncology, vol.18, issue.4, pp.140-142, 2010. ,
DOI : 10.2298/AOO1004140V
US Patent 7015490: Method and apparatus for optimization of collimator angles in intensity modulated radiation therapy treatment, 2006. ,
Telecobalt radiation therapy which composed of rotatory cross section radiograph and rotatory conformation therapy unit. Nihon Igaku Hoshasen Gakkai Zasshi, Nippon Acta Radiologica, vol.23, pp.841-848, 1963. ,
The physical basis of IMRT and inverse planning, The British Journal of Radiology, vol.76, issue.910, pp.678-689, 2003. ,
DOI : 10.1259/bjr/65676879
Does the option to rotate the Elekta Beam Modulator MLC during VMAT IMRT delivery confer advantage????a study of ???parked gaps???, Physics in Medicine and Biology, vol.55, issue.11, pp.55-303, 2010. ,
DOI : 10.1088/0031-9155/55/11/N01
A 4-bank multileaf collimator provides a decomposition advantage for delivering intensity-modulated beams by step-and-shoot, Physica Medica, vol.28, issue.1, pp.1-6, 2012. ,
DOI : 10.1016/j.ejmp.2011.08.003
Prinzip einer methode zur herstellung von kanalstrahlen hoher voltzahl, Archiv Fuer Elektrotechnik, vol.21, issue.4, pp.390-391, 1928. ,
Fifty years of synchrotrons. Particle accelerator, Proceedings, 5th European Conference, pp.960610135-139, 1996. ,
Radiological Use of Fast Protons, Radiology, vol.47, issue.5, pp.487-491, 1946. ,
DOI : 10.1148/47.5.487
The use of active breathing control (ABC) to reduce margin for breathing motion, International Journal of Radiation Oncology*Biology*Physics, vol.44, issue.4, pp.44911-919, 1999. ,
DOI : 10.1016/S0360-3016(99)00056-5
US Patent 5591983: Multiple layer multileaf collimator, 1997. ,
A study on repainting strategies for treating moderately moving targets with proton pencil beam scanning at the new Gantry 2 at PSI, Physics in Medicine and Biology, vol.55, issue.17, pp.5103-5121, 2010. ,
DOI : 10.1088/0031-9155/55/17/014