PMID: 9533131Apr 9, 1998Paper

Complexity of Monte Carlo and deterministic dose-calculation methods

Physics in Medicine and Biology
C Börgers

Abstract

Grid-based deterministic dose-calculation methods for radiotherapy planning require the use of six-dimensional phase space grids. Because of the large number of phase space dimensions, a growing number of medical physicists appear to believe that grid-based deterministic dose-calculation methods are not competitive with Monte Carlo methods. We argue that this conclusion may be premature. Our results do suggest, however, that finite difference or finite element schemes with orders of accuracy greater than one will probably be needed if such methods are to compete well with Monte Carlo methods for dose calculations.

References

May 1, 1992·Physics in Medicine and Biology·J McLellanP Therrien
Jan 1, 1997·Medical Physics·E W LarsenI A Bruinvis

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Citations

May 7, 2002·Medical Physics·Alexei V Chvetsov, George A Sandison
Oct 3, 1999·Medical Physics·W van der Zee, J Welleweerd
Jul 21, 2009·Medical Physics·Mark J RivardLuc Beaulieu
Jul 17, 2014·The British Journal of Radiology·P PapagiannisP Karaiskos
Feb 11, 2016·Mathematical Medicine and Biology : a Journal of the IMA·Richard C BarnardKai Krycki
Apr 21, 2006·Physics in Medicine and Biology·Kent A GiffordFiras Mourtada
Aug 24, 2013·Physics in Medicine and Biology·Shahram MashoufJean-Philippe Pignol
Dec 10, 1999·Physics in Medicine and Biology·A Ahnesjö, M M Aspradakis
Mar 4, 2005·Physics in Medicine and Biology·E BomanM Vauhkonen

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