Sensitivity analysis of a linear and unbranched chemical process with n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document} steps

In this paper, we present a quasi-analytical method to calculate the optimal enzyme concentrations in a chemical process, considering the minimization of the operation time. The resulting constrained optimal control problem is solved using Pontryagin’s Minimum Principle. First, our method allows us to obtain the generalized solution of an n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document}-step system with an unbranched scheme and bilinear kinetic models and non-equal catalytic efficiencies of the enzymes. Second, we discuss the sensitivity analysis of these catalytic parameters in detail.