The influence of dose grid resolution on beam selection strategies in radiotherapy treatment design

Abstract

. (2008). The influence of dose grid resolution on beam selection strategies in radiotherapy treatment design. In C. J. S. Alves, P. M. Pardalos, & L. N. Vicente (Eds.), Springer AbstractThe design of a radiotherapy treatment includes the selection of beam angles (geometry problem), the computation of a fluence pattern for each selected beam angle (intensity problem), and finding a sequence of configurations of a multilef collimator to deliver the treatment (realization problem). While many mathematical optimization models and algorithms have been proposed for the intensity problem and (to a lesser extent) the realization problem, this is not the case for the geometry problem. In clinical practice, beam directions are manually selected by a clinician and are typically based on the clinician's experience. Solving the beam selection problem optimally is beyond capability of current optimization algorithms and software. However, heuristic methods have been proposed. In this paper we compare various heuristic approaches on a clinical case. In particular, we study the influence of dose point resolution on the performance of these heuristics. We also compare the solutions obtained by the heuristics with those achieved by a clinician using a commercial planning system.

A fast beam orientation optimization method that enforces geometric constraints in IMRT for total marrow irradiation

“…The BOO problem is formulated as an SCP (Acosta et al., ; Ehrgott et al., ; Lee et al., ) as follows. In an SCP formulation, the goal is to “cover” (irradiate) all target voxels using some or all of the beams in candidate beam set .…”

“…Previous BOO studies for IMRT have mostly emphasized coplanar beam selection (e.g., Acosta et al., ; Aleman et al., ; Bangert and Oelfke, ; Bertsimas et al., ; Cao et al., ; Craft, ; Ehrgott and Johnston, ; Lee et al., ; Lim and Cao, ; Lim et al., ; Pugachev and Xing, ). Coplanar beams are those beams arising from gantry rotation only.…”

“…Set‐covering formulations applied to BOO (Acosta et al., ; Ehrgott et al., ; Lee et al., ) are promising due to their transparent ability to incorporate noncoplanar beams. The set‐cover problem (SCP) approaches in Acosta et al.…”

“…The set‐cover problem (SCP) approaches in Acosta et al. () and Ehrgott et al. () appear to only consider coplanar beams, and were applied to head‐and‐neck cases with a user‐specified number of beams to select.…”

A set cover approach to fast beam orientation optimization in intensity modulated radiation therapy for total marrow irradiation

“…The BOO problem in general has received much attention in the literature (see, e.g., Aleman et al ( , 2009, Craft (2007), Das and Marks (1997), Das et al (2003), D'Souza et al (2004,2008), Gokhale et al (1994), Lu et al (1997), Meedt et al (2003), Mišić et al (2010), Pugachev and Xing (2001a, 2001b, 2002, Rowbottom et al (1999a), Wang et al (2003Wang et al ( , 2004Wang et al ( , 2005, Yang et al (2006), Acosta et al (2008), Ahmed et al (2010), Ehrgott and Johnston (2003), Ehrgott et al (2008)). Mixed-integer programming (MIP) (Lee et al 2003, 2006, Yang et al 2006 and pure integer programming (IP) (D'Souza et al 2004) approaches have been explored, but are not viable for TMI due to the large treatment size.…”