Fractional killing in response to drugs is a hallmark of nongenetic cellular heterogeneity. Yet how individual lineages evade drug treatment, as observed in bacteria and cancer cells, is not quantitatively understood. We study a stochastic population model with age-dependent division and death rates, allowing for persistence. In periodic drug environments, we discover peaks in the survival probabilities at division or death times that are multiples of the environment duration. The survival resonances are unseen in unstructured populations and are amplified by persistence.

中文翻译：

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细胞群分数杀伤过程中的存活共振


药物反应中的分数杀伤是非遗传细胞异质性的标志。然而，正如在细菌和癌细胞中观察到的那样，个体谱系如何逃避药物治疗尚不明确。我们研究了一种随机种群模型，该模型具有年龄依赖性的划分和死亡率，允许持久性。在周期性药物环境中，我们发现在分裂或死亡时间的生存概率峰值是环境持续时间的倍数。生存共振在非结构化种群中是看不到的，并且会因持久性而被放大。