Age-structured and two-delay models for erythropoiesis.
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.
Bélair
J
J
Département de Mathématiques et de Statistique, Université de Montréal, Québec, Canada.
Mackey
M C
MC
Mahaffy
J M
JM
D000375:Aging / Q000502:physiology*; D004906:Erythrocyte Count; D004920:Erythropoiesis; D004921:Erythropoietin / Q000502:physiology; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical
D004921:Erythropoietin