Optimal experimental design for practical identification of unstructured growth models
Selected papers from the 2nd IMACS symposium on Mathematical modelling---2nd MATHMOD
System identification (2nd ed.): theory for the user
System identification (2nd ed.): theory for the user
Survey paper: Optimal experimental design and some related control problems
Automatica (Journal of IFAC)
Technical Communique: Optimal parametric sensitivity control of a fed-batch reactor
Automatica (Journal of IFAC)
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One of the challenges in the reconstruction of genetic network is to find experimental designs that maximize the information content in the data. In this work the information value of time course experiments (TCEs) is used to rank experimental designs. The study concerns the dynamic response of genes in the XlnR regulon of Aspergillus niger, whereby it was the goal to find the best moment to administer an extra pulse of inducing D-xylose. Low and high trigger concentrations are considered. The models that govern the regulation of the target genes in this regulon are used for simulation. Parameter sensitivity analysis, Fisher Information Matrix (FIM) and the E-modified criterion are used for the design performance assessment. The results show that the best time to give a second pulse of a low concentration trigger of D-xylose is when the D-xylose concentration from the first pulse is not yet completed reduced. Secondly, pulses with high trigger concentrations were simulated, parameter sensitivities computed, and the experimental designs evaluated. Overall, after the first pulse of 1 mM D-xylose, using a second pulse of 5 (or 10) mM D-xylose yields the best experimental design - leading to improved parameter estimates.