Multicriteria VMAT optimization.

PURPOSE To make the planning of volumetric modulated arc therapy (VMAT) faster and to explore the tradeoffs between planning objectives and delivery efficiency. METHODS A convex multicriteria dose optimization problem is solved for an angular grid of 180 equi-spaced beams. This allows the planner to navigate the ideal dose distribution Pareto surface and select a plan of desired target coverage versus organ at risk sparing. The selected plan is then made VMAT deliverable by a fluence map merging and sequencing algorithm, which combines neighboring fluence maps based on a similarity score and then delivers the merged maps together, simplifying delivery. Successive merges are made as long as the dose distribution quality is maintained. The complete algorithm is called VMERGE. RESULTS VMERGE is applied to three cases: a prostate, a pancreas, and a brain. In each case, the selected Pareto-optimal plan is matched almost exactly with the VMAT merging routine, resulting in a high quality plan delivered with a single arc in less than 5 min on average. CONCLUSIONS VMERGE offers significant improvements over existing VMAT algorithms. The first is the multicriteria planning aspect, which greatly speeds up planning time and allows the user to select the plan, which represents the most desirable compromise between target coverage and organ at risk sparing. The second is the user-chosen epsilon-optimality guarantee of the final VMAT plan. Finally, the user can explore the tradeoff between delivery time and plan quality, which is a fundamental aspect of VMAT that cannot be easily investigated with current commercial planning systems.

[1]  S Nill,et al.  What is the optimum leaf width of a multileaf collimator? , 2000, Medical physics.

[2]  A Brahme,et al.  Solution of an integral equation encountered in rotation therapy. , 1982, Physics in medicine and biology.

[3]  Cedric X. Yu,et al.  Arc-modulated radiation therapy (AMRT): a single-arc form of intensity-modulated arc therapy , 2008, Physics in medicine and biology.

[4]  Mark P. Carol,et al.  Peacock™: A system for planning and rotational delivery of intensity‐modulated fields , 1995, Int. J. Imaging Syst. Technol..

[5]  Karl Otto,et al.  Volumetric modulated arc therapy: IMRT in a single gantry arc. , 2007, Medical physics.

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

[7]  M Alber,et al.  A finite size pencil beam for IMRT dose optimization , 2005, Physics in medicine and biology.

[8]  David A Jaffray,et al.  Intensity-modulated arc therapy with dynamic multileaf collimation : an alternative to tomotherapy , 2002 .

[9]  T. Bortfeld,et al.  Improved planning time and plan quality through multicriteria optimization for intensity-modulated radiotherapy. , 2012, International journal of radiation oncology, biology, physics.

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

[11]  W Schlegel,et al.  Dynamic X-ray compensation for conformal radiotherapy by means of multi-leaf collimation. , 1994, Radiotherapy and oncology : journal of the European Society for Therapeutic Radiology and Oncology.

[12]  Konrad Engel,et al.  A new algorithm for optimal multileaf collimator field segmentation , 2005, Discret. Appl. Math..

[13]  David Craft,et al.  A fast optimization algorithm for multicriteria intensity modulated proton therapy planning. , 2010, Medical physics.

[14]  Anders Forsgren,et al.  A DUAL ALGORITHM FOR APPROXIMATING PARETO SETS IN CONVEX MULTI-CRITERIA OPTIMIZATION , 2011 .

[15]  Xiaochuan Pan,et al.  Exact reconstruction of volumetric images in reverse helical cone-beam CT. , 2008, Medical physics.

[16]  Fernando Alonso,et al.  A new concept for interactive radiotherapy planning with multicriteria optimization: first clinical evaluation. , 2007, Radiotherapy and oncology : journal of the European Society for Therapeutic Radiology and Oncology.

[17]  Fredrik Carlsson,et al.  Multicriteria optimization in intensity-modulated radiation therapy treatment planning for locally advanced cancer of the pancreatic head. , 2008, International journal of radiation oncology, biology, physics.

[18]  J. Bedford,et al.  Commissioning of volumetric modulated arc therapy (VMAT). , 2009, International journal of radiation oncology, biology, physics.

[19]  Mike Oliver,et al.  Comparing planning time, delivery time and plan quality for IMRT, RapidArc and tomotherapy , 2009, Journal of applied clinical medical physics.

[20]  David L Craft,et al.  Approximating convex pareto surfaces in multiobjective radiotherapy planning. , 2006, Medical physics.

[21]  Ke Sheng,et al.  Comparison of Elekta VMAT with helical tomotherapy and fixed field IMRT: plan quality, delivery efficiency and accuracy. , 2010, Medical physics.

[23]  R Svensson,et al.  An analytical solution for the dynamic control of multileaf collimators. , 1994, Physics in medicine and biology.

[24]  Andrew Jackson,et al.  Volumetric modulated arc therapy: planning and evaluation for prostate cancer cases. , 2010, International journal of radiation oncology, biology, physics.

[25]  Dick den Hertog,et al.  Enhancement of Sandwich Algorithms for Approximating Higher Dimensional Convex Pareto Sets , 2009, INFORMS J. Comput..

[26]  T. Bortfeld,et al.  Methods of image reconstruction from projections applied to conformation radiotherapy. , 1990, Physics in medicine and biology.

[27]  Cedric X. Yu,et al.  Intensity-modulated arc therapy: principles, technologies and clinical implementation , 2011, Physics in medicine and biology.

[28]  Gabor T. Herman,et al.  Fundamentals of Computerized Tomography: Image Reconstruction from Projections , 2009, Advances in Pattern Recognition.

[29]  M. Kaus,et al.  Development and evaluation of an efficient approach to volumetric arc therapy planning. , 2009, Medical physics.

[30]  S. Spirou,et al.  Generation of arbitrary intensity profiles by dynamic jaws or multileaf collimators. , 1994, Medical physics.

[31]  Joseph O Deasy,et al.  CERR: a computational environment for radiotherapy research. , 2003, Medical physics.

[32]  Günter Lauritsch,et al.  Line plus arc source trajectories and their R-line coverage for long-object cone-beam imaging with a C-arm system. , 2011, Physics in medicine and biology.

[33]  S. Webb The physical basis of IMRT and inverse planning. , 2003, The British journal of radiology.

[34]  Cedric X. Yu,et al.  Leaf-sequencing for intensity-modulated arc therapy using graph algorithms. , 2007, Medical physics.

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

[36]  Masayuki Matsuo,et al.  Impact of [11C]methionine positron emission tomography for target definition of glioblastoma multiforme in radiation therapy planning. , 2012, International journal of radiation oncology, biology, physics.

[37]  S. Webb Optimisation of conformal radiotherapy dose distributions by simulated annealing. , 1989, Physics in medicine and biology.

[38]  David Craft,et al.  The tradeoff between treatment plan quality and required number of monitor units in intensity-modulated radiotherapy. , 2007, International journal of radiation oncology, biology, physics.

[39]  Vikren Sarkar,et al.  Rotational IMRT delivery using a digital linear accelerator in very high dose rate 'burst mode'. , 2011, Physics in medicine and biology.

[40]  M Monz,et al.  Pareto navigation—algorithmic foundation of interactive multi-criteria IMRT planning , 2008, Physics in medicine and biology.

[41]  Steve B. Jiang,et al.  GPU-based ultrafast IMRT plan optimization , 2009, Physics in medicine and biology.