非搅拌Belousov-Zhabotinsky反应中多状态随机大杂烩模型引起的介观行为
Multi-state stochastic hotchpotch model gives rise to the observed mesoscopic behaviour in the non-stirred Belousov--Zhabotinsky reaction
摘要：
自组织结构的介观动力学是描述复杂生命系统的重要方面。在这方面，Belousov-Zhabotinsky（B-Z）反应是一个方便的试验平台，因为它代表了化学自组织的原型，具有丰富多样的涌现波螺旋图案。使用一个多状态随机大杂烩模型，我们在这里表明，非搅拌的B-Z反应的介观行为是定性和定量的随机多级元胞自动机的描述。这进一步意味着非搅拌B-Z反应的介观动力学是由a）基本时滞（即最终状态消亡所需的最小时间间隔）内的最大数量的可用状态与b）状态定义中的不精确或不确定性之间的微妙相互作用引起的。如果时间滞后的数量与7相差很大，或者可用状态的最大数量小于20，则物理化学条件不适合于形成波螺旋图案。此外，白噪声似乎是形成圆形结构（目标模式）的关键，而这在现有模型中还无法得到系统的解释。
英文摘要：
Mesoscopic dynamics of self-organized structures is the most important aspect in the description of complex living systems. The Belousov--Zhabotinsky (B--Z) reaction is in this respect a convenient testbed because it represents a prototype of chemical self-organization with a rich variety of emergent wave-spiral patterns. Using a multi-state stochastic hotchpotch model, we show here that the mesoscopic behaviour of the non-stirred B--Z reaction is both qualitatively and quantitatively susceptible to the description in terms of stochastic multilevel cellular automata. This further implies that the mesoscopic dynamics of the non-stirred B--Z reaction results from a delicate interplay between a) a maximal number of available states within the elementary time lag (i.e. a minimal time interval needed for demise of a final state) and b) an imprecision or uncertainty in the definition of state. If either the number of time lags is largely different from 7 or the maximal number of available states is smaller than 20, the physicochemical conditions are inappropriate for a formation of the wave-spiral patterns. Furthermore, a white noise seems to be key for the formation of circular structures (target patterns) which could not be as yet systematically explained in existing models.
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