具有多个分化阶段的白细胞生成模型的振动性
Oscillations in a white blood cell production model with multiple differentiation stages
摘要：
在这项工作中，我们证明了一个超临界的Hopf分岔模型中的白细胞形成结构的三个成熟阶段的发生。我们提供了一个明确的解析表达式的歧点依赖于模型参数。Hopf分叉是多室结构的一个独特特征，因为它不存在于相应的两室模型中。它出现的参数集不同于健康造血所确定的参数，并且需要至少两种细胞特性的变化。模型分析允许识别一系列生物学上合理的参数集，这些参数集可以解释在一些造血系统疾病中观察到的白细胞计数的持续振荡。将所识别的参数集与最近的实验和临床发现相关联，提供了对导致振荡血细胞计数的病理机制的见解。
英文摘要：
In this work we prove occurrence of a super-critical Hopf bifurcation in a model of white blood cell formation structured by three maturation stages. We provide an explicit analytical expression for the bifurcation point depending on model parameters. The Hopf bifurcation is a unique feature of the multi-compartment structure as it does not exist in the corresponding two-compartment model. It appears for a parameter set different from the parameters identified for healthy hematopoiesis and requires changes in at least two cell properties. Model analysis allows identifying a range of biologically plausible parameter sets that can explain persistent oscillations of white blood cell counts observed in some hematopoietic diseases. Relating the identified parameter sets to recent experimental and clinical findings provides insights into the pathological mechanisms leading to oscillating blood cell counts.
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