Age-structured and two-delay models for erythropoiesis.

J Bélair; M C Mackey; J M Mahaffy

doi:10.1016/0025-5564(94)00078-e

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Age-structured and two-delay models for erythropoiesis.

J Bélair·M C Mackey·J M Mahaffy

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Abstract

An age-structured model is developed for erythropoiesis and is reduced to a system of threshold-type differential delay equations using the method of characteristics. Under certain assumptions, this model can be reduced to a system of delay differential equations with two delays. The parameters in the system are estimated from experimental data, and the model is simulated for a normal human subject following a loss of blood. The characteristic equation of the two-delay equation is analyzed and shown to exhibit Hopf bifurcations when the destruction rate of erythrocytes is increased. A numerical study for a rabbit with autoimmune hemolytic anemia is performed and compared with experimental data.

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Aging Erythrocyte Count Erythropoiesis Erythropoietin Humans Models, Biological Models, Theoretical Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.

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J Bélair, M C Mackey, J M Mahaffy. Age-structured and two-delay models for erythropoiesis.. https://doi.org/10.1016/0025-5564(94)00078-e

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