Gamma Knife
Radiotherapy
Leyuan Shi, Robert Meyer, and Warren D'Souza. "A framework for Radiation Treatment Planning Optimization." Proceedings of 2005 National Science Foundation Design, Service and Manufacturing Research and Grantees Conference, Phoenix, 2005.
Warren D'Souza, Robert Meyer and Leyuan Shi, "Selection of Beam Orientations in Intensity-Modulated Radiation Therapy Using Single Beam Indices and Integer Programming," Physics in Medicine and Biology, 49, 3465-3481, 2004. (pdf version)
Jinho Lim, Michael C. Ferris, and David M. Shepard, "Optimization tools for radiation treatment planning," Book Chapter, Operations Research and Health Care: Handbook of Methods and Applications, Kluwer Publishers, 2004.
Jinho Lim, Michael C. Ferris, David M. Shepard, Stephen J. Wright, and Matthew A. Earl "An optimization framework for conformal radiation treatment planning," submitted for publication, INFORMS Journal on Computing, July 2004. (pdf version)
Jinho Lim, Michael C. Ferris, and David M. Shepard, "Optimization tools for radiation treatment planning," Optimization Technical Report 03-01, Computer Sciences Department, University of Wisconsin-Madison, March 2003. (pdf version)
D.M. Shepard, Z. Jiang, M.A. Earl, M.C. Ferris, Jinho Lim, and S. Naqvi, "A Toolbox for IMRT Optimization," Medical Physics, vol. 30, no. 9, pp. 2320-2322, 2003.
Michael C. Ferris, Robert R. Meyer, and Warren D'Souza, "Radiation Treatment Planning: Mixed Integer Programming Formulations and Approaches," Optimization Technical Report 02-08, Computer Sciences Department, University of Wisconsin-Madison, October 2002. (pdf version)
D.M. Shepard, L. Chin, S. DiBiase, S. Naqvi, Jinho Lim, and M.C. Ferris, "Clinical implementation of an automated planning system for Gamma Knife radiosurgery," International Journal of Radiation Oncology, vol 56, no. 5, pp. 1488-1494, 2003. (pdf version)
Michael C. Ferris, Jinho Lim, and David Shepard, "An optimization approach for the radiosurgery treatment planning," SIAM Journal on Optimization, vol. 13, no 3, pp. 921-937, 2003. (pdf version)
Michael C. Ferris, Jinho Lim, and David Shepard, "Radiosurgery optimization via nonlinear programming," Annals of Operations Research, vol. 119, pp. 247-260, 2003. (pdf version)
M.C. Ferris and M.M. Voelker, "Neuro-dynamic programming for radiation treatment planning," Numerical Analysis Group Research Report NA-02/06, Oxford Univeristy of Computing Laboratory, Oxford Univeristy, 2002. (ppt version)
D.M. Shepard, M.C. Ferris, R. Ove, and L. Ma, "Inverse treatment planning for Gamma Knife radiosurgery," Medical Physics, 27:12, 2000.
Michael C. Ferris and David M. Shepard, "Optimization of Gamma Knife radiosurgery," In D.-Z. Du, P.~Pardalos, and J.~Wang, editors, Discrete Mathematical Problems with Medical Applications, volume~55 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, pages 27-44. American Mathematical Society, 2000. (ps version)
Arinbjorn Olafsson and Stephen J. Wright, "Linear programming formulations and algorithms for radiotherapy treatment planning," to appear in Optimization Methods and Software, November 2004. (pdf version)