Classification of Static and Dynamic Behavior in Chemostat for Plasmid-Bearing, Plasmid-Free Mixed Recombinant Cultures

Classification of Static and Dynamic Behavior in Chemostat for Plasmid-Bearing, Plasmid-Free Mixed Recombinant Cultures
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DOI:
10.1080/00986440213471
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发表时间:
2002-08
影响因子:
2.5
通讯作者:
A. Ajbar
A. Ajbar
中科院分区:
工程技术4区
文献类型:
--
作者:
A. Ajbar

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奇点理论与连续技术相结合,对恒化器中涉及带质粒和无质粒细胞群之间竞争的静态和动态行为进行分类。静态分叉的分析可以推导竞争群体共存和生物反应器安全运行的分析条件。另一方面,动态分岔的分析表明该模型能够预测两个种群在稳定极限环状态下的共存。针对模型中 Hopf 点的出现,推导了与任何生长动力学相关的分析条件。静态和动态分岔结果的组合有助于在多维参数空间中构建模型预测的不同行为的有用图像。
The singularity theory is combined with continuation techniques to classify the static and dynamic behavior in a chemostat involving the competition between plasmid-bearing and plasmid-free cell populations. The analysis of the static bifurcation allows the derivation of analytical conditions for the coexistence of the competing populations and for the safe operation of the’bioreactor. The analysis of dynamic bifurcation, on the other hand, shows the ability of the model to predict the coexistence of the two populations in a state of stable limit cycle. Analytical conditions with respect to any growth kinetics are derived for the occurrence of Hopf points in the model. The combination of results of both static and dynamic bifurcation helps to construct a useful picture, in the multidimensional parameter space, of the different behavior predicted by the model.