Optimization of radiotherapy considering uncertainties caused by daily setup procedures and organ motion.

[1]  Eva K. Lee,et al.  Integer Programming Applied to Intensity-Modulated Radiation Therapy Treatment Planning , 2003, Ann. Oper. Res..

[2]  A L Boyer,et al.  Optimization of importance factors in inverse planning. , 1999, Physics in medicine and biology.

[3]  H. Bartelink,et al.  Fractionation in radiotherapy. , 1994, Cancer treatment reviews.

[4]  D. Gladstone,et al.  A numerical simulation of organ motion and daily setup uncertainties: implications for radiation therapy. , 1997, International journal of radiation oncology, biology, physics.

[5]  Harald Paganetti,et al.  The biologic relevance of daily dose variations in adaptive treatment planning. , 2006, International journal of radiation oncology, biology, physics.

[6]  T R Mackie,et al.  Design of adaptive treatment margins for non-negligible measurement uncertainty: application to ultrasound-guided prostate radiation therapy. , 2004, Physics in medicine and biology.

[7]  J. Wong,et al.  The use of active breathing control (ABC) to reduce margin for breathing motion. , 1999, International journal of radiation oncology, biology, physics.

[8]  Joseph O Deasy,et al.  The generalized equivalent uniform dose function as a basis for intensity-modulated treatment planning. , 2002, Physics in medicine and biology.

[9]  David Craft,et al.  Exploration of tradeoffs in intensity-modulated radiotherapy , 2005, Physics in medicine and biology.

[10]  Randall K Ten Haken,et al.  Ideal spatial radiotherapy dose distributions subject to positional uncertainties , 2006, Physics in medicine and biology.

[11]  Di Yan,et al.  Image-Guided/Adaptive Radiotherapy , 2006 .

[12]  Michael C. Ferris,et al.  Optimizing the Delivery of Radiation Therapy to Cancer Patients , 1999, SIAM Rev..

[13]  A. Holder Partitioning multiple objective optimal solutions with applications in radiotherapy design , 2006 .

[14]  M. Herk Errors and margins in radiotherapy. , 2004 .

[15]  J C Stroom,et al.  Inclusion of geometrical uncertainties in radiotherapy treatment planning by means of coverage probability. , 1999, International journal of radiation oncology, biology, physics.

[16]  F Nüsslin,et al.  An objective function for radiation treatment optimization based on local biological measures. , 1999, Physics in medicine and biology.

[17]  Mark Hachey,et al.  A New Method of Estimating United States and State‐level Cancer Incidence Counts for the Current Calendar Year , 2007, CA: a cancer journal for clinicians.

[18]  P. Munro,et al.  Clinical use of electronic portal imaging: report of AAPM Radiation Therapy Committee Task Group 58. , 2001, Medical physics.

[19]  D. Craft Local beam angle optimization with linear programming and gradient search , 2007, Physics in medicine and biology.

[20]  Harry Keller,et al.  Optimal stochastic correction strategies for rigid-body target motion. , 2003, International journal of radiation oncology, biology, physics.

[21]  Jonathan G. Li,et al.  Inverse planning incorporating organ motion. , 2000 .

[22]  Daniel L. McShan,et al.  Intensity modulated radiotherapy (IMRT) for locally advanced paranasal sinus cancer: application of clinical decisions in the planning process , 2001 .

[23]  Ronald L. Rardin,et al.  A coupled column generation, mixed integer approach to optimal planning of intensity modulated radiation therapy for cancer , 2004, Math. Program..

[24]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Suboptimal Control: A Survey from ADP to MPC , 2005, Eur. J. Control.

[25]  H. Rehbinder,et al.  Adaptive radiation therapy for compensation of errors in patient setup and treatment delivery. , 2004, Medical physics.

[26]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Two Volume Set , 1995 .

[27]  M van Herk,et al.  The width of margins in radiotherapy treatment plans. , 2000, Physics in medicine and biology.

[28]  Jake Van Dyk,et al.  Limitations of a convolution method for modeling geometric uncertainties in radiation therapy. II. The effect of a finite number of fractions. , 2003, Medical physics.

[29]  A. Holder Designing Radiotherapy Plans with Elastic Constraints and Interior Point Methods , 2003, Health care management science.

[30]  Fernando Alonso,et al.  Intensity-modulated radiotherapy – a large scale multi-criteria programming problem , 2003, OR Spectr..

[31]  A. Ahnesjö,et al.  Dose calculations for external photon beams in radiotherapy. , 1999, Physics in medicine and biology.

[32]  Steve Webb Contemporary IMRT : developing physics and clinical implementation , 2004 .

[33]  John N Tsitsiklis,et al.  A robust approach to IMRT optimization , 2006, Physics in medicine and biology.

[34]  Michael C. Ferris,et al.  Digital Object Identifier (DOI) 10.1007/s10107-004-0530-y , 2004 .

[35]  Steve B. Jiang,et al.  Effects of motion on the total dose distribution. , 2004, Seminars in radiation oncology.

[36]  Steve B. Jiang,et al.  When should systematic patient positioning errors in radiotherapy be corrected? , 2002, Physics in medicine and biology.

[37]  D L McShan,et al.  Inverse plan optimization accounting for random geometric uncertainties with a multiple instance geometry approximation (MIGA). , 2006, Medical physics.

[38]  P J Keall,et al.  A fluence-convolution method to calculate radiation therapy dose distributions that incorporate random set-up error. , 2002, Physics in medicine and biology.

[39]  Dietrich Harder,et al.  A Triple Gaussian Pencil beam Model for Photon beam Treatment Planning , 1995 .

[40]  M. Alber,et al.  Optimization of intensity modulated radiotherapy under constraints for static and dynamic MLC delivery. , 2001, Physics in medicine and biology.

[41]  Randall K Ten Haken,et al.  An application of Bayesian statistical methods to adaptive radiotherapy , 2006, Physics in medicine and biology.

[42]  S. Henderson,et al.  Robust optimization for intensity modulated radiation therapy treatment planning under uncertainty , 2005, Physics in medicine and biology.

[43]  Michael C. Ferris,et al.  An Optimization Approach for Radiosurgery Treatment Planning , 2002, SIAM J. Optim..

[44]  C Norman Coleman,et al.  Effects of radiation on normal tissue: consequences and mechanisms. , 2003, The Lancet. Oncology.

[45]  M. Degroot Optimal Statistical Decisions , 1970 .

[46]  J Wong,et al.  Improvement in dose escalation using the process of adaptive radiotherapy combined with three-dimensional conformal or intensity-modulated beams for prostate cancer. , 2001, International journal of radiation oncology, biology, physics.

[47]  M. Alber,et al.  Robust treatment planning for intensity modulated radiotherapy of prostate cancer based on coverage probabilities. , 2006, Radiotherapy and oncology : journal of the European Society for Therapeutic Radiology and Oncology.

[48]  U Oelfke,et al.  Incorporating organ movements in inverse planning: assessing dose uncertainties by Bayesian inference , 2005, Physics in medicine and biology.

[49]  D Yan,et al.  An off-line strategy for constructing a patient-specific planning target volume in adaptive treatment process for prostate cancer. , 2000, International journal of radiation oncology, biology, physics.

[50]  Stephen J. Wright,et al.  An Optimization Framework for Conformal Radiation Treatment Planning , 2007, INFORMS J. Comput..

[51]  M. Ehrgott,et al.  Beam selection in radiotherapy design , 2008 .

[52]  J. Unkelbach,et al.  Inclusion of organ movements in IMRT treatment planning via inverse planning based on probability distributions. , 2004, Physics in medicine and biology.

[53]  David K. Smith,et al.  Dynamic Programming and Optimal Control. Volume 1 , 1996 .

[54]  Gunilla C. Bentel,et al.  Patient Positioning and Immobilization in Radiation Oncology , 1998 .

[55]  A. Brahme,et al.  Optimal radiation beam profiles considering the stochastic process of patient positioning in fractionated radiation therapy , 1995 .

[56]  W. W. Muir,et al.  Data, models, and statistical analysis , 1983 .

[57]  Jake Van Dyk,et al.  Limitations of a convolution method for modeling geometric uncertainties in radiation therapy: the radiobiological dose-per-fraction effect. , 2004, Medical physics.

[58]  John N. Tsitsiklis,et al.  Neuro-Dynamic Programming , 1996, Encyclopedia of Machine Learning.

[59]  H. Romeijn,et al.  A unifying framework for multi-criteria fluence map optimization models. , 2004, Physics in medicine and biology.

[60]  John Yarnold,et al.  Principles and practice of radiotherapy. , 2001 .

[61]  M. V. van Herk,et al.  The probability of correct target dosage: dose-population histograms for deriving treatment margins in radiotherapy. , 2000, International journal of radiation oncology, biology, physics.

[62]  John N. Tsitsiklis,et al.  Introduction to linear optimization , 1997, Athena scientific optimization and computation series.

[63]  Steve B. Jiang,et al.  Effects of intra-fraction motion on IMRT dose delivery: statistical analysis and simulation. , 2002, Physics in medicine and biology.

[64]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[65]  Horst W. Hamacher,et al.  Inverse Radiation Therapy Planning: A Multiple Objective Optimisation Approach , 1999 .

[66]  Qiuwen Wu,et al.  Application of dose compensation in image-guided radiotherapy of prostate cancer , 2006, Physics in medicine and biology.

[67]  J M Balter,et al.  Quantization of setup uncertainties in 3-D dose calculations. , 1999, Medical physics.

[68]  J. Battista,et al.  Limitations of a convolution method for modeling geometric uncertainties in radiation therapy. I. The effect of shift invariance. , 2003, Medical physics.

[69]  Karl-Heinz Küfer,et al.  Characterization of Dose Distributions Through the Max and Mean Dose Concept , 2002, Acta oncologica.

[70]  Urmila M. Diwekar Optimization Under Uncertainty , 2008 .

[71]  Marcel van Herk,et al.  Short-term and long-term reproducibility of lung tumor position using active breathing control (ABC). , 2006, International journal of radiation oncology, biology, physics.

[72]  K L Lam,et al.  Measurement of patient setup errors using port films and a computer-aided graphical alignment tool. , 1996, Medical dosimetry : official journal of the American Association of Medical Dosimetrists.

[73]  B. Paliwal,et al.  Analysis and convergence of the iterative convolution/superposition dose reconstruction technique for multiple treatment beams and tomotherapy. , 1997, Medical physics.

[74]  Y. Pawitan In all likelihood : statistical modelling and inference using likelihood , 2002 .

[75]  Yair Censor,et al.  The Least-Intensity Feasible Solution for Aperture-Based Inverse Planning in Radiation Therapy , 2003, Ann. Oper. Res..

[76]  R. Jeraj,et al.  Re-optimization in adaptive radiotherapy. , 2002, Physics in medicine and biology.

[77]  M Partridge,et al.  IMRT verification by three-dimensional dose reconstruction from portal beam measurements. , 2002, Medical physics.

[78]  A. Niemierko Reporting and analyzing dose distributions: a concept of equivalent uniform dose. , 1997, Medical physics.

[79]  J Wong,et al.  Adaptive modification of treatment planning to minimize the deleterious effects of treatment setup errors. , 1997, International journal of radiation oncology, biology, physics.

[80]  Marina A. Epelman,et al.  Costlets: A Generalized Approach to Cost Functions for Automated Optimization of IMRT Treatment Plans , 2005 .

[81]  Yair Censor,et al.  The dose–volume constraint satisfaction problem for inverse treatment planning with field segments , 2004, Physics in medicine and biology.

[82]  Tinsu Pan,et al.  New Technologies in Radiation Oncology , 2008, Journal of Nuclear Medicine.

[83]  George L. Nemhauser,et al.  Handbooks in operations research and management science , 1989 .

[84]  D. Yan,et al.  Adaptive radiation therapy , 1997, Physics in medicine and biology.

[85]  John R. Birge,et al.  Introduction to Stochastic Programming , 1997 .

[86]  Y. Li,et al.  Automatic beam angle selection in IMRT planning using genetic algorithm. , 2004, Physics in medicine and biology.

[87]  H. Romeijn,et al.  A novel linear programming approach to fluence map optimization for intensity modulated radiation therapy treatment planning. , 2003, Physics in medicine and biology.