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.

中文翻译：

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年龄相关死亡率对红细胞生成延迟微分方程系统稳定性的影响

我们提出了一个年龄结构的红细胞生成模型，其中成熟细胞的死亡率通过生存时间的生理现实概率分布经验性地描述。在某些假设下，该模型可以转换为具有恒定延迟和分布式延迟的延迟微分方程组。该系统的平衡稳定性和可能的​​ Hopf 分岔被描述为许多概率分布。提供了我们结果的生理动机和解释。