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论文类型：期刊论文

发表时间：2011-05-01

发表刊物：BIOSYSTEMS

收录刊物：SCIE

卷号：104

期号：2-3

页面范围：77-86

ISSN号：0303-2647

关键字：Bioprocess with impulse effect; Optimization; Periodic solution; Product inhibition; Stability

摘要：This work presents the first mathematical model of a bioprocess with product inhibition and impulse effect. To begin with, an exemplary mathematical bioprocess model with product inhibition and impulse effect is formulated. Then, according to the model, the analysis of bioprocess stability is presented. The article expresses the product oscillation period, which provides the precise feeding time frame for the regulator bioprocess to achieve an equivalent stable output as that of a bioprocess with impulse effect in the same production environment. Moreover, in this work, the optimization of the production process with respect to the tunable parameters is investigated, and analytical expressions of their optimal values are provided. Numerical simulations using biological data are presented to illustrate the main results. (C) 2011 Elsevier Ireland Ltd. All rights reserved.