Fungal Genomics & Biology
Open Access
ISSN: 2165-8056
ISSN: 2165-8056
Department of Chemical Engineering, Federal University, São João Del Rei, Brazil
Research Article
Application of the Z and Laplace Transforms to Panification Yeast Production Using an Airlift Bioreactor
Author(s): Arnaldo S. Oliveira*, Edson R. Nucci, Juan C. B. Neto and Igor J. B. Santos
The Z and Laplace transforms are mathematical techniques applied to solve difference equations and differential equations, respectively. Mathematical models used to describe cell growth, substrate consumption and product formation in bioprocesses can be represented by these types of equations. Thus, in this work, the fermentation process of the yeast Saccharomyces cerevisiae was modeled using different models from the literature, and the Z- and Laplace transforms were applied to solve the equations. Once the equations were solved, the models were represented in state space and simulated in Octave® software. Finally, the models were compared to experimental data from previous studies and to each other. Verhulst was the model that best described the process, with an average error of 4.74% for cell growth and 13.9% for substrate consumption. This work.. View More»
DOI:
10.35841/ 2165-8056.22.12.197