Optimization Online


Continuous optimization of beamlet intensities for photon and proton radiotherapy

R. Reemtsen (reemtsen***at***math.tu-cottbus.de)
M. Alber (msalber***at***med.uni-tuebingen.de)

Abstract: Inverse approaches and, in particular, intensity modulated radiotherapy (IMRT), in combination with the development of new technologies such as multi-leaf collimators (MLCs), have enabled new potentialities of radiotherapy for cancer treatment. The main mathematical tool needed in this connection is numerical optimization. In this article, the variety of continuous optimization approaches, which have been proposed for the computation of optimal beam and beamlet intensities respectively, is surveyed and discussed. The discussion includes a nonlinear optimization model for IMRT with biologically motivated goals, which has recently been presented by the authors and is accompanied by a sensitivity analysis proposed by Alber et al.. At last, new developments in intensity modulated proton therapy (IMPT) are considered. It is shown by a clinical case example that the algorithm introduced by the authors earlier is also capable to solve, within a few minutes of computation times, the much larger problems of treatment planning for the IMPT spot-scanning technique.

Keywords: radiotherapy treatment planning, intensity modulated radiation therapy, IMRT, intensity modulated proton therapy, IMPT, spot-scanning technique, optimization, linear programming, nonlinear programming

Category 1: Applications -- Science and Engineering (Biomedical Applications )

Citation: http://www.math.tu-cottbus.de/INSTITUT/lsing1/publications/reemtsen_e.html

Download: [Compressed Postscript]

Entry Submitted: 12/08/2004
Entry Accepted: 12/08/2004
Entry Last Modified: 12/08/2004

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Programming Society