Estimation of cell response in fractionation radiotherapy using different methods derived from linear quadratic model

  • Safoora Nikzad
  • Bijan Hashemi
  • Golshan Mahmoudi
  • Milad Baradaran-Ghahfarokhi


Background: The aim of this study was to use various theoretical methods derived from the Linear Quadratic (LQ) model to calculate the effects of number of subfraction, time intervals between subfractions, dose per subfraction, and overall fraction time on the cells’ survival.

Comparison of the results with experimental outcomes of melanoma and breast adenocarcinoma cells was also performed. Finally, the best matched method with experimental outcomes is introduced as the most accurate method in predicting the cell response.

Materials and Methods: The most widely used theoretical methods in the literature, presented by Keall et al., Brenner, and Mu et al., were used to calculate the cells’ survival following radiotherapy with different treatment schemes. The overall treatment times were ranged from 15 to 240 minutes. To investigate the effects of number of subfraction and dose per subfraction, the cells’ survival after different treatment delivery scenarios were calculated through fixed overall treatment times of 30, 60 and 240 minutes. The experimental tests were done for dose of 4 Gy. The results were compared with those of the theoretical outcomes.

Results: The most affective parameter on the cells’ survival was the overall treatment time.

However, the number of subfractions per fractions was another effecting parameter in the theoretical models. This parameter showed no significant effect on the cells’ survival in experimental schemes. The variations in number of subfractions per each fraction showed different results on the cells’ survival, calculated by Keall et al. and Brenner methods (P<0.05).

Conclusions: Mu et al. method can predict the cells’ survival following fractionation radiotherapy more accurately than the other models. Using Mu et al. method, as an accurate and simple method to predict the cell response after fractionation radiotherapy, is suggested for clinical applications.

How to Cite
Nikzad, S., Hashemi, B., Mahmoudi, G., & Baradaran-Ghahfarokhi, M. (2016). Estimation of cell response in fractionation radiotherapy using different methods derived from linear quadratic model. Radiology and Oncology, 49(4). Retrieved from
Experimental oncology