title: A mathematical model for cell cycle progression under continuous low-dose-rate irradiation.
abstract: A mathematical model of the progression of cells through the mitotic cycle under continuous low-dose-rate irradiation is described. The model considers explicitly two special cases: (a) when a fraction of cells disintegrate and disappear after mitosis and (b) when a fraction of cells which have reached mitosis do not progress further but do not disintegrate either. We have established a relationship between the parameters of the model and dose and/or the age of the cell at exposure. This formalism is applied to studies of the effects of dose rate on HeLa cells (Mitchell, Bedford, and Bailey, Radiat. Res. 79, 520-536, 1979; 80, 186-197, 1979). Detailed information on the fraction of cells of a certain biological age at a given chronological time is needed because of the variation in the radioresponse of the cells as a function of age.
authors.affiliation: Center for Radiological Research, College of Physicians & Surgeons of Columbia University, New York, New York 10032.
authors.forename: M
authors.initials: M
authors.lastname: Zaider
authors.forename: G N
authors.initials: GN
authors.lastname: Minerbo
mesh_terms: D002453:Cell Cycle / Q000528:radiation effects*; D006367:HeLa Cells / Q000166:cytology / Q000528:radiation effects; D006801:Humans; D008433:Mathematics; D008938:Mitosis / Q000528:radiation effects; D008954:Models, Biological; D011829:Radiation Dosage; D013997:Time Factors