Abstract
Experimentally induced auto-immune hemolytic anemia (AIHA) in rabbits is characterized either by constant depressed erythrocyte numbers, or by oscillatory erythrocyte numbers about a depressed level (periodic auto-immune hemolytic anemia).
Here the experimetallys observed characteristics of AIHA are satisfactorily accounted for by a simple model for erythropoiesis, assuming only the peripheral erythrocyte destruction rate is elevated with all other parameters normal. The onset of periodic AIHA is identified with the occurrence of a Hopf bifurcation in the model dynamics for certain values of the erythrocyte destruction rate.
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Mackey, M.C. Periodic auto-immune hemolytic anemia: An induced dynamical disease. Bltn Mathcal Biology 41, 829–834 (1979). https://doi.org/10.1007/BF02462379
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DOI: https://doi.org/10.1007/BF02462379