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THE DYNAMICAL MODELS OF ACTIVATED SLUDGE SYSTEM: STOCHASTIC CELLULAR AUTOMATON AND DIFFERENTIAL EQUATIONS

THE DYNAMICAL MODELS OF ACTIVATED SLUDGE SYSTEM: STOCHASTIC CELLULAR AUTOMATON AND DIFFERENTIAL EQUATIONS
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摘要 A stochastic celhflar automaton (CA) model for activated sludge system (ASS) is for- mulated by a series of transition functions upon realistic treatment processes, and it is tested by comparing with ordinary differential equations (ODEs) of ASS. CA system performed by empirical parameters can reflect the characteristics of fluctuation, com- plexity and strong non-linearity of ASS. The results show that the predictions of CA are approximately similar to the dynamical behaviors of ODEs. Based on the extreme experimental system with complete cell recycle in model validation, the dynamics of biomass and substrate are predicted accurately by CA, but the large errors exist in ODEs except for integrating more spatially complicated factors. This is due to that the strong mechanical stress from spatial crowding effect is ignored in ODEs, while CA system as a spatially explicit model takes account of local interactions. Despite its extremely simple structure, CA still can capture the essence of ASS better than ODEs, thus it would be very useful in predicting long-term dynamics in other similar systems.
出处 《International Journal of Biomathematics》 2012年第5期261-275,共15页 生物数学学报(英文版)
基金 This research was supported by the National Natural Science Foundation of China (No. 30870397) and the State Key Laboratory of Vegetation and Environmental Change.
关键词 Cellular automaton activated sludge system ordinary differential equations dynamic models wastewater treatment. 随机元胞自动机 常微分方程组 活性污泥系统 动力学模型 CA系统 动力学行为 ASS 经验参数
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