Rubinow S I, Lebowitz J L
Biophys J. 1976 Aug;16(8):897-910. doi: 10.1016/S0006-3495(76)85740-2.
A dynamical mathematical model of the acute myeloblastic leukemic state is proposed in which normal neutrophils and their precursors, and leukemic myeloblasts, proliferate as distinct but interacting cell populations. Each population has a Go compartment, consisting of resting cells, that acts as a control center to determine the rate of proliferation. These rates are assumed to depend on the total number of cells in the combined populations. The presence of the leukemic population destabilizes the homeostatic state of the normal population, which is stable in the absence of leukemic cells, and drives the system to a new stable state consisting entirely of leukemic cells and no normal cells. Calculations based on the theory suggest that it is able to simulate the kinetic features of this disease state, at least in its typical manifestations.
提出了一种急性髓细胞白血病状态的动态数学模型，其中正常中性粒细胞及其前体细胞与白血病原始粒细胞作为不同但相互作用的细胞群体进行增殖。每个群体都有一个由静息细胞组成的G₀区室，它作为一个控制中心来确定增殖速率。假定这些速率取决于合并群体中细胞的总数。白血病群体的存在破坏了正常群体的稳态（在没有白血病细胞时该稳态是稳定的），并将系统驱动到一个完全由白血病细胞组成且没有正常细胞的新稳定状态。基于该理论的计算表明，它至少能够模拟这种疾病状态的动力学特征，至少在其典型表现方面。
