Rubinow S I, Lebowitz J L
Biomathematics Division, Graduate School of Medical Sciences Cornell University, 10021, New York, NY, USA.
Physics Department, Belfer Graduate School of Sciences, Yeshiva University, 10019, New York, NY, USA.
J Math Biol. 1975 Sep;1(3):187-225. doi: 10.1007/BF01273744. Epub 2017 Mar 15.
A comprehensive mathematical model of neutrophil production in normal man is presented. The model incorporates three control elements which regulate homeostatically the rates of release of marrow cells to proliferation, maturation, and to the blood. The steady state properties of the model are demonstrated analytically. The basic equations of the model, which are nonlinear, have been integrated numerically. The solutions so obtained display graphically the dynamical response of the system to various perturbations, which simulate experimental investigations that have been made in the past of granulocytopoiesis. By an appropriate choice of values of the parameters characterizing the system, it is shown how most of the principal kinetic properties of the neutrophil production and control system are represented in a quantitative manner.
本文提出了一个正常人体内中性粒细胞生成的综合数学模型。该模型包含三个控制要素，它们通过稳态调节骨髓细胞向增殖、成熟以及血液中释放的速率。通过解析证明了该模型的稳态特性。该模型的基本方程是非线性的，已通过数值方法进行了积分。由此获得的解以图形方式展示了系统对各种扰动的动态响应，这些扰动模拟了过去对粒细胞生成所做的实验研究。通过适当选择表征系统的参数值，展示了中性粒细胞生成和控制系统的大多数主要动力学特性是如何以定量方式呈现的。
