Trade-off bounds for the Pareto surface approximation in multi-criteria IMRT planning.

作者: JI Serna , Michael Monz , Karl-H Küfer , C Thieke

DOI: 10.1088/0031-9155/54/20/018

关键词: Pareto principleData setQuality (business)Process (computing)Plan (drawing)MathematicsFocus (optics)Mathematical optimizationRange (mathematics)Computation

摘要: One approach to multi-criteria IMRT planning is automatically calculate a data set of Pareto-optimal plans for given problem in first phase, and then interactively explore the solution space decide on clinically best treatment plan second phase. The challenge computing ensure that all meaningful are covered as many irrelevant possible excluded keep computation times within reasonable limits. In this work, we focus approximation relevant part Pareto surface, process constitutes It two surface have small, insignificant difference one criterion significant another criterion. For such cases, only clearly superior should be included into set. To achieve during approximation, propose introduce bounds restrict relative quality between plans, so-called trade-off bounds. We show how integrate these scheme study their effects. proposed applied artificial cases clinical case paraspinal tumor. measured with respect number computed range values occurring different criteria compared. Through enforcing bounds, disregards approximation. Thereby, necessary good can significantly reduced. Thus, an effective tool reduce time.

参考文章(17)
Vira Chankong, Yacov Y. Haimes, Multiobjective Decision Making: Theory and Methodology ,(1983)
Karl-Heinz Küfer, Horst W. Hamacher, Thomas Bortfeld, A multicriteria optimization approach for inverse radiotherapy planning Springer, Berlin, Heidelberg. pp. 26- 28 ,(2000) , 10.1007/978-3-642-59758-9_10
Thomas Bortfeld, David Craft, James F. Dempsey, Tarek Halabi, H. Edwin Romeijn, Evaluating Target Cold Spots By the use of Tail EUDs International Journal of Radiation Oncology*Biology*Physics. ,vol. 71, pp. 880- 889 ,(2008) , 10.1016/J.IJROBP.2008.01.049
H Edwin Romeijn, James F Dempsey, Jonathan G Li, A unifying framework for multi-criteria fluence map optimization models. Physics in Medicine and Biology. ,vol. 49, pp. 1991- 2013 ,(2004) , 10.1088/0031-9155/49/10/011
Andrzej Niemierko, Reporting and analyzing dose distributions: A concept of equivalent uniform dose Medical Physics. ,vol. 24, pp. 103- 110 ,(1997) , 10.1118/1.598063
David L. Craft, Tarek F. Halabi, Helen A. Shih, Thomas R. Bortfeld, Approximating convex pareto surfaces in multiobjective radiotherapy planning. Medical Physics. ,vol. 33, pp. 3399- 3407 ,(2006) , 10.1118/1.2335486
Kathrin Klamroth, Jørgen Tind, Margaret M. Wiecek, Unbiased approximation in multicriteria optimization Mathematical Methods of Operations Research. ,vol. 56, pp. 413- 437 ,(2003) , 10.1007/S001860200217
P Süss, KH Küfer, C Thieke, None, Improved stratification algorithms for step-and-shoot MLC delivery in intensity-modulated radiation therapy Physics in Medicine and Biology. ,vol. 52, pp. 6039- 6051 ,(2007) , 10.1088/0031-9155/52/19/022
C Cotrutz, M Lahanas, C Kappas, D Baltas, A multiobjective gradient-based dose optimization algorithm for external beam conformal radiotherapy. Physics in Medicine and Biology. ,vol. 46, pp. 2161- 2175 ,(2001) , 10.1088/0031-9155/46/8/309