Modelling a Saturating Function of Signals Released in Irradiation Bystander Effects

Abstract

Mechanisms of mammalian cell killing effects produced by irradiation are complex processes and it is vitally importance to understand the phenomenon. In this research, models of survival fraction of targeted and bystander cells are employed, with modification on the signaling factors. The models are a type of two-dimensional vector that structure a population cell depends on the double-strand breaks (DSBs) and mis-repair DSBs count (k and m, respectively). Data fitting and parameter estimation are used as model calibration. Then, by using the estimated parameters, the model simulation shows a good fit against the experimental data with a sum of absolute error (SAE) of 0.0355 and 0.1542, respectively. These errors confirmed that the models are successfully depicted the actual measurement of targeted and bystander effects.