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Comparative Analysis of the Dynamics of Thrombocytopoietic, Granulocytopoietic, and Erythropoietic Systems in Irradiated Humans: A Modeling Approach

Abstract Biologically motivated mathematical models, which describe the dynamics of the thrombocytopoietic, granulocytopoietic, and erythropoietic systems in irradiated humans, are thoroughly investigated. These models are the systems of nonlinear ordinary differential equations, whose variables and constant parameters have clear biological meaning. The modeling studies reveal general regularities and peculiarities of the dynamics of the aforementioned hematopoietic lines in acutely and chronically irradiated humans. It is shown that the predictions of the models qualitatively and quantitatively agree with the respective clinical data for humans exposed to acute and chronic irradiation in wide ranges of doses and dose rates. Moreover, the “lethal” dose rate of chronic irradiation, which is evaluated in the framework of the granulocytopoiesis model, coincides with the real minimal dose rate of lethal chronic irradiation for humans. As for the thrombocytopoiesis and erythropoiesis models, the respective “lethal” dose rates of chronic irradiation are very close to the real one for humans. All this bears witness to the validity of employment of the developed models in the investigation and prediction of radiation effects on human hematopoiesis.