Zygourakis K, Bizios R, Markenscoff P
Department of Chemical Engineering, Rice University, Houston, Texas 77251-1892, USA.
Biotechnol Bioeng. 1991 Aug 20;38(5):459-70. doi: 10.1002/bit.260380504.
We report the development of new class of discrete models that can accurately describe the contact-inhibited proliferation of anchorage-dependent cells. The models are based on cellular automata, and they quantitatively account for contact inhibition phenomena occurring during all stages of the proliferation process: (a) the initial stage of "exponential" growth of cells without contact inhibition; (b) the second stage where cell colonies form and grow with few colony mergings; and (c) the final stage where proliferation rates are dominated by colony merging events. Model prediction are presented and analyzed to study the complicated dynamics of large cell populations and determine how the initial spatial cell distribution, the seeding density, and the geometry of the growth surface affect the observed proliferation rates. Finally, we present a model variant that can simulate contact-inhibited proliferation of asynchronous cell populations with arbitrary cell cycle-time distribution. The latter model can also compute the percentage of cells that are in a specific phase of their division cycle at a given time.
我们报告了一类新型离散模型的开发,这类模型能够准确描述锚定依赖性细胞的接触抑制增殖。这些模型基于细胞自动机,定量解释了增殖过程所有阶段出现的接触抑制现象:(a) 细胞在无接触抑制情况下“指数”生长的初始阶段;(b) 细胞集落形成并生长且集落合并较少的第二阶段;以及 (c) 增殖速率由集落合并事件主导的最终阶段。展示并分析了模型预测结果,以研究大细胞群体的复杂动态,并确定初始空间细胞分布、接种密度和生长表面几何形状如何影响观察到的增殖速率。最后,我们提出了一个模型变体,它可以模拟具有任意细胞周期时间分布的异步细胞群体的接触抑制增殖。后一种模型还可以计算在给定时间处于分裂周期特定阶段的细胞百分比。