Deliverable navigation for multicriteria IMRT treatment planning by combining shared and individual apertures

We consider the problem of deliverable Pareto surface navigation for step-and-shoot intensity-modulated radiation therapy. This problem amounts to calculation of a collection of treatment plans with the property that convex combinations of plans are directly deliverable. Previous methods for deliverable navigation impose restrictions on the number of apertures of the individual plans, or require that all treatment plans have identical apertures. We introduce simultaneous direct step-and-shoot optimization of multiple plans subject to constraints that some of the apertures must be identical across all plans. This method generalizes previous methods for deliverable navigation to allow for treatment plans with some apertures from a collective pool and some apertures that are individual. The method can also be used as a post-processing step to previous methods for deliverable navigation in order to improve upon their plans. By applying the method to subsets of plans in the collection representing the Pareto set, we show how it can enable convergence toward the unrestricted (non-navigable) Pareto set where all apertures are individual.

[1]  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.

[2]  T. Bortfeld,et al.  Decomposition of pencil beam kernels for fast dose calculations in three-dimensional treatment planning. , 1993, Medical physics.

[3]  Christian Richter,et al.  Deliverable navigation for multicriteria step and shoot IMRT treatment planning , 2012, Physics in medicine and biology.

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

[5]  J. Unkelbach,et al.  Aperture shape optimization for IMRT treatment planning , 2013, Physics in medicine and biology.

[6]  Ehsan Salari,et al.  A column-generation-based method for multi-criteria direct aperture optimization , 2013, Physics in medicine and biology.

[7]  Michael A. Saunders,et al.  SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization , 2005, SIAM Rev..

[8]  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.

[9]  David Craft,et al.  An approach for practical multiobjective IMRT treatment planning. , 2007, International journal of radiation oncology, biology, physics.

[10]  Arvind Kumar,et al.  A Column Generation Approach to Radiation Therapy Treatment Planning Using Aperture Modulation , 2005, SIAM J. Optim..

[11]  D M Shepard,et al.  Direct aperture optimization: a turnkey solution for step-and-shoot IMRT. , 2002, Medical physics.

[12]  Fredrik Carlsson,et al.  Combining segment generation with direct step-and-shoot optimization in intensity-modulated radiation therapy. , 2008, Medical physics.

[13]  Michael A. Saunders,et al.  SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization , 2002, SIAM J. Optim..

[14]  Anders Forsgren,et al.  An Algorithm for Approximating Convex Pareto Surfaces Based on Dual Techniques , 2013, INFORMS J. Comput..

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

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

[17]  R. Bokrantz.  Multicriteria optimization for volumetric-modulated arc therapy by decomposition into a fluence-based relaxation and a segment weight-based restriction. , 2012, Medical physics.