Objective: We propose and study a new model aimed at describing the low-dose hyperradiosensitivity phenomenon appearing in the survival curves of different cell lines. Methods: The model uses the induced repair assumption, considering that the critical dose at which this mechanism begins to act varies from cell to cell in a given population. The model proposed is compared with the linear-quadratic model and the modified linear-quadratic model, which is commonly used in literature and in which the induced repair is taken into account in a heuristic way. The survival curve for the MCF-7 line of human breast cancer is measured at low absorbed doses and the uncertainties in these doses are estimated using thermoluminiscent dosemeters. Results: It is shown that these multicellular spheroids present low-dose hyperradiosensitivity. The new model permits an accurate description of the data of two human cell lines (previously published) and of the multicellular spheroids of the MCF-7 line here measured. Conclusion: The model shows enough flexibility to account for data with very different characteristics and considers in a faithful way the hypothesis of the repair induction.