Purpose
Proton therapy treatments are currently planned and delivered using the assumption that the proton relative biological effectiveness (RBE) relative to photons is 1.1. This assumption ignores strong experimental evidence that suggests the RBE varies along the treatment field, i.e. with linear energy transfer (LET) and with tissue type. A recent review study collected over 70 experimental reports on proton RBE, providing a comprehensive dataset for predicting RBE for cell survival. Using this dataset we developed a model to predict proton RBE based on dose, LET and the ratio of the linear-quadratic model parameters for the reference radiation (α/β)x, as the tissue specific parameter.
Methods and Materials
The relationship of the RBE on dose, dose average LET (LETd) and (α/β)x was explored using 287 experimental data points. A RBE model based on the linear quadratic model was derived from a nonlinear regression fitting to the data.
Results
The proposed model predicts that the RBE increases with increasing LETd and decreases with increasing (α/β)x. The model additionally predicts a decrease in RBE with increasing dose.
Conclusions
The proposed phenomenological RBE model is derived using the most comprehensive collection of proton RBE experimental data to date. The model agrees with previous theoretical predictions on the relationship between RBE, LETd and (α/β)x and also makes predictions on the relationship between RBE and dose. The proposed model shows a relationship between both α and β with LETd. Previously published phenomenological models, based on a limited data set, may have to be revised.