A model of radiation-induced bystander effects is presented that explicitly takes into account the transient nature of bystander signal emission post-irradiation, signal lifetime and the non-linear cellular response to the signals. Data are analysed on mutagenesis induced in human lymphoblasts in medium transfer experiments, in which the signal build-up time, medium dilution and the duration of reporter cells' exposure to the medium were varied. The model implies that the cellular release of bystander signals decreases rather slowly, with a characteristic time of about a day, whereas the signal itself decays with a lifetime of about an hour.