A stochastic model of cell survival for high-Z nanoparticle radiotherapy.

Piotr Zygmanski, Wolfgang Hoegele, Panagiotis Tsiamas, Fulya Cifter, Wil Ngwa, Ross Berbeco, Mike Makrigiorgos, Erno Sajo

Department of Radiation Oncology, Dana-Farber Cancer Institute, Boston, MA 02115, USA. pzygmanski@lroc.harvard.edu

Medical physics 2013 Feb

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The authors present a stochastic framework for the assessment of cell survival in gold nanoparticle radiotherapy. The authors derive the equations for the effective macroscopic dose enhancement for a population of cells with nonideal distribution of gold nanoparticles (GNP), allowing different number of GNP per cell and different distances with respect to the cellular target. They use the mixed Poisson distribution formalism to model the impact of the aforementioned physical factors on the effective dose enhancement. The authors show relatively large differences in the estimation of cell survival arising from using approximated formulae. They predict degeneration of the cell killing capacity due to different number of GNP per cell and different distances with respect to the cellular target. The presented stochastic framework can be used in interpretation of experimental cell survival or tumor control probability studies.

Citation

Piotr Zygmanski, Wolfgang Hoegele, Panagiotis Tsiamas, Fulya Cifter, Wil Ngwa, Ross Berbeco, Mike Makrigiorgos, Erno Sajo. A stochastic model of cell survival for high-Z nanoparticle radiotherapy. Medical physics. 2013 Feb;40(2):024102