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Modelling Hematopoiesis Mediated by Growth Factors With Applications to Periodic Hematological Diseases

机译:用血上造型造型造型造型造型血液杂交术治疗血液血液疾病

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摘要

Hematopoiesis is a complex biological process that leads to the productionand regulation of blood cells. It is based upon differentiation of stem cellsunder the action of growth factors. A mathematical approach of this process isproposed to carry out explanation on some blood diseases, characterized byoscillations in circulating blood cells. A system of three differentialequations with delay, corresponding to the cell cycle duration, is analyzed.The existence of a Hopf bifurcation for a positive steady-state is obtainedthrough the study of an exponential polynomial characteristic equation withdelay-dependent coefficients. Numerical simulations show that long periodoscillations can be obtained in this model, corresponding to a destabilizationof the feedback regulation between blood cells and growth factors. Thisstresses the localization of periodic hematological diseases in the feedbackloop.
机译:血缺陷是一种复杂的生物过程,导致血细胞的生产和调节。它是基于干细胞的分化,生长因子的作用。该过程的数学方法缺乏对某些血液疾病进行解释,以循环血细胞表征在血液中的表征。分析了具有细胞周期持续时间的三个具有延迟的延迟的延迟系统的系统。通过依赖于依赖性系数的指数多项式特性方程的研究,获得了正稳态的跳跃分叉的存在。数值模拟表明,在该模型中可以获得长期次数,对应于血细胞和生长因子之间反馈调节的稳定性。这在含水量中的周期性血液疾病定位。

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