On the Use of Shape-Constrained Splines for Biokinetic Process Modelling
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.
Masic et al. DYCOPS 2016.pdf
Postprint
openaccess
392.46 KB
Adobe PDF
a54fc91a5c4b02a000654c9bff1ea3b8
Masic et al. DYCOPS 2016 (Presentation).pdf
openaccess
560.9 KB
Adobe PDF
ed0141a82b41908d6ee44a79f42c2129