By James M. Lee
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4 shows the SAS NLIN specifications and the computer output. You can choose one of the four iterative methods: modified Gauss-Newton, Marquardt, gradient or steepest-descent, and multivariate secant or false position method (SAS, 1985). The Gauss-Newton iterative methods regress the residuals onto the partial derivatives of the model with respect to the parameters until the iterations converge. You also have to specify the model and starting values of the parameters to be estimated. It is optional to provide the partial derivatives of the model with respect to each parameter.
How can the rate equation derived in part (a) be simplified if ESP and EPS are the same? c. If k2 / k1 = k8 / k7 and k4 / k3 = k6 / k5 of the rate equation app developed in part (b), what is the apparent maximum rate rmax and Michaelis constant? d. Explain how you can estimate the parameters of the rate equation in part (c) experimentally. , 1985): k k 1 3 """ # ES E + P $"" →E+P+Q k " 2 k 4 """ # ES E+S $"" k " 5 where S, P, Q, and E are lactose, galactose, glucose, and free enzyme. a. Derive the rate equation for the production of galactose by using Briggs-Haldane approach.
Wilkes, Applied Numerical Methods. , 1969. Chapra, S. C. and R. P. Canale, Numerical Methods for Engineers. , 1988. Charm, S. E. and B. L. Wong, “Enzyme Inactivation with Shearing,” Biotechnol. Bioeng. 12 (1970):1103–1109. Crueger, W. and A. Crueger, Biotechnology: A Textbook of Industrial Microbiology, pp. 161–162. , 1984. Eadie, G. , “The Inhibition of Cholinesterase by Physostigmine and Prostigmine,” J. Biol. Chem. 146 (1942):85–93. Eveleigh, D. , “The Microbiological Production of Industrial Chemicals,” Scientific American 245 (1981):155–178.