文章基本信息

标题：On the Use of Shape-Constrained Splines for Biokinetic Process Modeling * * This study is financed by Eawag Discretionary Funds (PSP: 5221.00492.009.03).
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作者：Alma Mašić ; Sriniketh Srinivasan ; Julien Billeter 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：7
页码：1145-1150
DOI：10.1016/j.ifacol.2016.07.357
语种：English
出版社：Elsevier
摘要：Identification of mathematical models is an important task for the design and the optimization of biokinetic processes. Monod or Tessier growth-rate models are often chosen by default, although these models are not able to represent the dynamics of all bacterial growth processes. This imperfect representation then affects the quality of the model prediction. This paper introduces an alternative approach, which is based on constraints such as monotonicity and concavity and the use of shape-constrained spline functions, to describe the substrate affinity with high parametric flexibility. This way, the difficult task of searching through potentially incomplete rate-model libraries can be circumvented. A simulated case study is used to illustrate the superiority of the proposed method to represent non-ideal growth conditions, where neither Monod nor Tessier kinetics offer a good approximation.
关键词：mathematical modelsmicrobial growth-rate kineticsMonod equationshape-constrained spline functionwastewater treatment