Produivity andne Engiering Production Function for Production of Glucosyltransferase by Fermentation
Productivity and Engineering Production Function for Production of Glucosyltransferase by Fermentation
DOI:
https://doi.org/10.54167/tecnociencia.v15i3.844Keywords:
production function, stepwise restricted nonlinear regression, Excel® Solver®, production elasticity, productivityAbstract
An engineering production function model is presented to model the production of glycosyltransferase by fermentation, with the objective of determining the maximum production, maximum productivity and unit elasticity. To the data of the first DOE published by Kawaguti et al. (2005), the restricted statistical regression method (with R2 = 0.981, P = 001) and restricted optimization were applied in the Excel® Solver® software. To ferment, cane molasses (X1 gL-1), corn liquor (X2 gL-1) and yeast (X3 gL-1) Erwinia Sp. were used. In quantities identified by the input vector X = (X1, X2, X3). For each selected optimal combination, the forecasts for glucosyltransferase production, cost per experiment and productivity are: optimal production at (129.39, 72.897, 16.77) with 5.78 UmL-1, $0.74 and 7.75 UmL-1$-1 respectively; for maximum productivity in (118.39, 42,14, 4) with 4.56, $0.31 and 14.48; for optimal productivity (unit elasticity and constant returns) at (102.44, 36.48, 3.46) with 4.01, $0.27 and 14.73 respectively. The returns to scale and elasticity lead us to explore the vector (102.56, 36.52, 3.47) as the center of the next sequential experimental design, such that this design achieves a better approximation to constant yields and global optimal productivity.
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