On the Effect of Age-Dependent Mortality on the Stability of a System of Delay-Differential Equations Modeling Erythropoiesis.

Acta Biotheor

Département de mathématiques et de statistique and Centre de recherches mathématiques, Université de Montréal, CP 6128 Succ. centre-ville, Montréal, QC, H3C 3J7, Canada.

Published: March 2020

We present an age-structured model for erythropoiesis in which the mortality of mature cells is described empirically by a physiologically realistic probability distribution of survival times. Under some assumptions, the model can be transformed into a system of delay differential equations with both constant and distributed delays. The stability of the equilibrium of this system and possible Hopf bifurcations are described for a number of probability distributions. Physiological motivation and interpretation of our results are provided.

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http://dx.doi.org/10.1007/s10441-019-09351-1DOI Listing

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