对生长中的细胞群体的扩张动力学和临界表面动力学进行分类
Classifying the expansion kinetics and critical surface dynamics of growing cell populations
摘要：
基于元胞自动机模型，通过细胞迁移活性、增殖区大小和细胞周期时间分布在宽范围内的变化，系统地研究了细胞单层的生长动力学和临界表面动力学。模型设计避免了晶格伪影，并确保了高性能。从我们的模拟中得到的单层膨胀速度可以解释为Fisher-Kolmogorov-Petrovskiii-Piskounov（FKPP）方程中行进前沿的速度关系的概括，该方程经常用于通过连续模型来模拟肿瘤生长现象。临界表面动力学对应的Kardar-Parisi-Zhang（KPZ）的普适性类的所有参数和模型的变化研究。虽然速度同意定量与Bru等人的实验观察，临界表面动力学是相反的，他们的解释为通用的分子束外延生长。
英文摘要：
Based on a cellular automaton model the growth kinetics and the critical surface dynamics of cell monolayers is systematically studied by variation of the cell migration activity, the size of the proliferation zone and the cell cycle time distribution over wide ranges. The model design avoids lattice artifacts and ensures high performance. The monolayer expansion velocity derived from our simulations can be interpreted as a generalization of the velocity relationship for a traveling front in the Fisher-Kolmogorov-Petrovskii-Piskounov (FKPP) equation that is frequently used to model tumor growth phenomena by continuum models. The critical surface dynamics corresponds to the Kardar-Parisi-Zhang (KPZ) universality class for all parameters and model variations studied. While the velocity agrees quantitatively with experimental observations by Bru et al, the critical surface dynamics is in contrast to their interpretation as generic molecular-beam-epitaxy-like growth.
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