Departamento de Termodinàmica, Facultat de Física, Universitat de València, E-46100 Burjassot, Spain.
Phys Rev E. 2017 Apr;95(4-1):042324. doi: 10.1103/PhysRevE.95.042324. Epub 2017 Apr 28.
We present a weakly coupled map lattice model for patterning that explores the effects exerted by weakening the local dynamic rules on model biological and artificial networks composed of two-state building blocks (cells). To this end, we use two cellular automata models based on (i) a smooth majority rule (model I) and (ii) a set of rules similar to those of Conway's Game of Life (model II). The normal and abnormal cell states evolve according to local rules that are modulated by a parameter κ. This parameter quantifies the effective weakening of the prescribed rules due to the limited coupling of each cell to its neighborhood and can be experimentally controlled by appropriate external agents. The emergent spatiotemporal maps of single-cell states should be of significance for positional information processes as well as for intercellular communication in tumorigenesis, where the collective normalization of abnormal single-cell states by a predominantly normal neighborhood may be crucial.
我们提出了一个用于模式形成的弱耦合映射晶格模型，该模型探索了在由二态构建块（细胞）组成的模型生物和人工网络中削弱局部动态规则所产生的影响。为此，我们使用了两个基于（i）平滑多数规则（模型 I）和（ii）类似于康威生命游戏规则的规则的元胞自动机模型（模型 II）。正常和异常细胞状态根据局部规则演化，局部规则由参数 κ 调制。该参数量化了由于每个细胞与其邻域的有限耦合而导致预定规则的有效削弱，并且可以通过适当的外部试剂来实验控制。单细胞状态的时空映射对于位置信息过程以及肿瘤发生中的细胞间通信具有重要意义，在肿瘤发生中，主要由正常邻域引起的异常单细胞状态的集体归一化可能是至关重要的。
