Fundamentals of Systems Analysis and Modeling of Biosystems and Metabolism

Author(s): Kazuyuki Shimizu and Yu Matsuoka

DOI: 10.2174/9781681080864115010008

Model Identification, Sensitivity Analysis, and Optimization

Pp: 187-224 (38)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

Model identification method is briefly explained. Then the sensitivity analysis is explained in relation to model parameter identification. In view of sensitivity analysis, the metabolic control analysis (MCA) is explained, followed by its application to find the limiting pathways for lysine fermentation by Corynebacterium sp. In relation to flux balance analysis (FBA) and its extension to genome-scale as mentioned in Chapter 3, the linear programming method is explained for the optimization of a single objective function under the constraint of stoichiometric equations. A basic approach for the vector-valued objective function and non-inferior Pareto optimal set is briefly explained. In relation to model parameter identification, various types of direct and gradient-based optimum seeking methods are explained. A global search method such as genetic algorithm (GA) is also explained. Moreover, the optimal operation or optimal control strategies based on the Maximum principle is explained to find the time optimal trajectories with some application to ethanol fermentation.

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