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Single Mathematical Parameter for Evaluation of the Microorganisms’ Growth as the Objective Function in the Optimization by the DOE Techniques

The cultivation of bacteria sets a ground for studying biological processes in many scientific disciplines. The development of the bacterial population is commonly described with three factors that can be used to evaluate culture conditions. However, selecting only one of them for the optimization p...

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Autores principales: Konopacki, Maciej, Augustyniak, Adrian, Grygorcewicz, Bartłomiej, Dołęgowska, Barbara, Kordas, Marian, Rakoczy, Rafał
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7692173/
https://www.ncbi.nlm.nih.gov/pubmed/33142809
http://dx.doi.org/10.3390/microorganisms8111706
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author Konopacki, Maciej
Augustyniak, Adrian
Grygorcewicz, Bartłomiej
Dołęgowska, Barbara
Kordas, Marian
Rakoczy, Rafał
author_facet Konopacki, Maciej
Augustyniak, Adrian
Grygorcewicz, Bartłomiej
Dołęgowska, Barbara
Kordas, Marian
Rakoczy, Rafał
author_sort Konopacki, Maciej
collection PubMed
description The cultivation of bacteria sets a ground for studying biological processes in many scientific disciplines. The development of the bacterial population is commonly described with three factors that can be used to evaluate culture conditions. However, selecting only one of them for the optimization protocol is rather problematic and may lead to unintended errors. Therefore, we proposed a novel mathematical approach to obtain a single factor that could be used as the objective function to evaluate the whole growth dynamic and support the optimization of the biomass production process. The sigmoidal-shape curve, which is the commonly used function to plot the amount of biomass versus time, was the base for the mathematical analysis. The key process parameters, such as maximal specific growth rate and lag-phase duration were established with the use of mathematical coefficients of the model curve and combined to create the single growth parameter. Moreover, this parameter was used for the exemplary optimization of the cultivation conditions of Klebsiella pneumoniae that was cultured to be further used in the production of lytic bacteriophages. The proposed growth parameter was successfully validated and used to calculate the optimal process temperature of the selected bacterial strain. The obtained results indicated that the proposed mathematical approach could be effortlessly adapted for a precise evaluation of growth curves.
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spelling pubmed-76921732020-11-28 Single Mathematical Parameter for Evaluation of the Microorganisms’ Growth as the Objective Function in the Optimization by the DOE Techniques Konopacki, Maciej Augustyniak, Adrian Grygorcewicz, Bartłomiej Dołęgowska, Barbara Kordas, Marian Rakoczy, Rafał Microorganisms Article The cultivation of bacteria sets a ground for studying biological processes in many scientific disciplines. The development of the bacterial population is commonly described with three factors that can be used to evaluate culture conditions. However, selecting only one of them for the optimization protocol is rather problematic and may lead to unintended errors. Therefore, we proposed a novel mathematical approach to obtain a single factor that could be used as the objective function to evaluate the whole growth dynamic and support the optimization of the biomass production process. The sigmoidal-shape curve, which is the commonly used function to plot the amount of biomass versus time, was the base for the mathematical analysis. The key process parameters, such as maximal specific growth rate and lag-phase duration were established with the use of mathematical coefficients of the model curve and combined to create the single growth parameter. Moreover, this parameter was used for the exemplary optimization of the cultivation conditions of Klebsiella pneumoniae that was cultured to be further used in the production of lytic bacteriophages. The proposed growth parameter was successfully validated and used to calculate the optimal process temperature of the selected bacterial strain. The obtained results indicated that the proposed mathematical approach could be effortlessly adapted for a precise evaluation of growth curves. MDPI 2020-10-31 /pmc/articles/PMC7692173/ /pubmed/33142809 http://dx.doi.org/10.3390/microorganisms8111706 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Konopacki, Maciej
Augustyniak, Adrian
Grygorcewicz, Bartłomiej
Dołęgowska, Barbara
Kordas, Marian
Rakoczy, Rafał
Single Mathematical Parameter for Evaluation of the Microorganisms’ Growth as the Objective Function in the Optimization by the DOE Techniques
title Single Mathematical Parameter for Evaluation of the Microorganisms’ Growth as the Objective Function in the Optimization by the DOE Techniques
title_full Single Mathematical Parameter for Evaluation of the Microorganisms’ Growth as the Objective Function in the Optimization by the DOE Techniques
title_fullStr Single Mathematical Parameter for Evaluation of the Microorganisms’ Growth as the Objective Function in the Optimization by the DOE Techniques
title_full_unstemmed Single Mathematical Parameter for Evaluation of the Microorganisms’ Growth as the Objective Function in the Optimization by the DOE Techniques
title_short Single Mathematical Parameter for Evaluation of the Microorganisms’ Growth as the Objective Function in the Optimization by the DOE Techniques
title_sort single mathematical parameter for evaluation of the microorganisms’ growth as the objective function in the optimization by the doe techniques
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7692173/
https://www.ncbi.nlm.nih.gov/pubmed/33142809
http://dx.doi.org/10.3390/microorganisms8111706
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