Direct aperture optimization: a turnkey solution for step-and-shoot IMRT.

IMRT treatment plans for step-and-shoot delivery have traditionally been produced through the optimization of intensity distributions (or maps) for each beam angle. The optimization step is followed by the application of a leaf-sequencing algorithm that translates each intensity map into a set of deliverable aperture shapes. In this article, we introduce an automated planning system in which we bypass the traditional intensity optimization, and instead directly optimize the shapes and the weights of the apertures. We call this approach "direct aperture optimization." This technique allows the user to specify the maximum number of apertures per beam direction, and hence provides significant control over the complexity of the treatment delivery. This is possible because the machine dependent delivery constraints imposed by the MLC are enforced within the aperture optimization algorithm rather than in a separate leaf-sequencing step. The leaf settings and the aperture intensities are optimized simultaneously using a simulated annealing algorithm. We have tested direct aperture optimization on a variety of patient cases using the EGS4/BEAM Monte Carlo package for our dose calculation engine. The results demonstrate that direct aperture optimization can produce highly conformal step-and-shoot treatment plans using only three to five apertures per beam direction. As compared with traditional optimization strategies, our studies demonstrate that direct aperture optimization can result in a significant reduction in both the number of beam segments and the number of monitor units. Direct aperture optimization therefore produces highly efficient treatment deliveries that maintain the full dosimetric benefits of IMRT.

[1]  Martin Pincus,et al.  Letter to the Editor - A Monte Carlo Method for the Approximate Solution of Certain Types of Constrained Optimization Problems , 1970, Oper. Res..

[2]  C. Yu,et al.  Inverse planning for intensity-modulated arc therapy using direct aperture optimization. , 2001, Physics in Medicine and Biology.

[3]  J. Tervo,et al.  A model for the control of a multileaf collimator in radiation therapy treatment planning , 2000 .

[4]  J Yang,et al.  Smoothing intensity-modulated beam profiles to improve the efficiency of delivery. , 2001, Medical physics.

[5]  M Goitein,et al.  Generalization of a model of tissue response to radiation based on the idea of functional subunits and binomial statistics. , 2001, Physics in medicine and biology.

[6]  A. Brahme,et al.  Optimized radiation therapy based on radiobiological objectives. , 1999, Seminars in radiation oncology.

[7]  M. Langer,et al.  Improved leaf sequencing reduces segments or monitor units needed to deliver IMRT using multileaf collimators. , 2001, Medical physics.

[8]  A Niemierko,et al.  Radiobiological Models of Tissue Response to Radiation in Treatment Planning Systems , 1998, Tumori.

[9]  P. C. Williams,et al.  The design and performance characteristics of a multileaf collimator , 1994, Physics in medicine and biology.

[10]  J M Galvin,et al.  Combining multileaf fields to modulate fluence distributions. , 1993, International journal of radiation oncology, biology, physics.

[11]  Lijun Ma,et al.  Monte Carlo dose verification for intensity-modulated arc therapy , 2001 .

[12]  Cedric X. Yu,et al.  Angular cost—a new concept for broad scope planning optimization , 2001 .

[13]  V. Cerný Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm , 1985 .

[14]  T. Bortfeld,et al.  X-ray field compensation with multileaf collimators. , 1994, International journal of radiation oncology, biology, physics.

[15]  S. Webb Optimizing the planning of intensity-modulated radiotherapy. , 1994, Physics in medicine and biology.

[16]  J. Dai,et al.  Minimizing the number of segments in a delivery sequence for intensity-modulated radiation therapy with a multileaf collimator. , 2001, Medical physics.

[17]  A Brahme,et al.  Individualizing cancer treatment: biological optimization models in treatment planning and delivery. , 2001, International journal of radiation oncology, biology, physics.

[18]  C. Ma,et al.  BEAM: a Monte Carlo code to simulate radiotherapy treatment units. , 1995, Medical physics.

[19]  P W Hoban,et al.  Treatment plan comparison using equivalent uniform biologically effective dose (EUBED). , 2000, Physics in medicine and biology.

[20]  S. Webb Configuration options for intensity-modulated radiation therapy using multiple static fields shaped by a multileaf collimator. , 1998, Physics in medicine and biology.

[21]  A Brahme,et al.  Biologically based treatment planning. , 1999, Acta oncologica.

[22]  Arthur L. Boyer,et al.  Energy and intensity modulated protons beams: a Monte Carlo dosimetry study , 2001 .

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

[24]  P. Xia,et al.  Multileaf collimator leaf sequencing algorithm for intensity modulated beams with multiple static segments. , 1998, Medical physics.

[25]  Ronald L. Rardin,et al.  Optimization in operations research , 1997 .

[26]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[27]  W. De Gersem,et al.  Leaf position optimization for step-and-shoot IMRT. , 2001, International journal of radiation oncology, biology, physics.

[28]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[29]  T. Mackie,et al.  Iterative approaches to dose optimization in tomotherapy. , 2000, Physics in medicine and biology.

[30]  S Webb,et al.  Configuration options for intensity-modulated radiation therapy using multiple static fields shaped by a multileaf collimator. II: constraints and limitations on 2D modulation. , 1998, Physics in medicine and biology.

[31]  S. Spirou,et al.  Dose calculation for photon beams with intensity modulation generated by dynamic jaw or multileaf collimations. , 1994, Medical physics.