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Nonlinear Analytics for Electrochemical Biosensor Design Using Enzyme Aggregates and Delayed Mass Action

The paper is devoted to the extension of Brown’s model of enzyme kinetics to the case with distributed delays. Firstly, we construct a multi-substrate multi-inhibitor model using discrete and distributed delays. Furthermore, we consider simplified models including one substrate and one inhibitor, fo...

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Autores principales: Martsenyuk, Vasyl, Klos-Witkowska, Aleksandra, Dzyadevych, Sergei, Sverstiuk, Andriy
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8839366/
https://www.ncbi.nlm.nih.gov/pubmed/35161724
http://dx.doi.org/10.3390/s22030980
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author Martsenyuk, Vasyl
Klos-Witkowska, Aleksandra
Dzyadevych, Sergei
Sverstiuk, Andriy
author_facet Martsenyuk, Vasyl
Klos-Witkowska, Aleksandra
Dzyadevych, Sergei
Sverstiuk, Andriy
author_sort Martsenyuk, Vasyl
collection PubMed
description The paper is devoted to the extension of Brown’s model of enzyme kinetics to the case with distributed delays. Firstly, we construct a multi-substrate multi-inhibitor model using discrete and distributed delays. Furthermore, we consider simplified models including one substrate and one inhibitor, for which an experimental study has been performed. The algorithm of parameter identifications was developed which was tested on the experimental data of solution conductivity. Both the model and Kohlrausch’s law parameters are obtained as a result of the optimization procedure. Comparison of plots constructed with the help of the estimated parameters has shown that in such case the model with distributed delays is more chemically adequate in comparison with the discrete one. The methods of generalization of the results to the multi-substrate multi-inhibitor cases are discussed.
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spelling pubmed-88393662022-02-13 Nonlinear Analytics for Electrochemical Biosensor Design Using Enzyme Aggregates and Delayed Mass Action Martsenyuk, Vasyl Klos-Witkowska, Aleksandra Dzyadevych, Sergei Sverstiuk, Andriy Sensors (Basel) Communication The paper is devoted to the extension of Brown’s model of enzyme kinetics to the case with distributed delays. Firstly, we construct a multi-substrate multi-inhibitor model using discrete and distributed delays. Furthermore, we consider simplified models including one substrate and one inhibitor, for which an experimental study has been performed. The algorithm of parameter identifications was developed which was tested on the experimental data of solution conductivity. Both the model and Kohlrausch’s law parameters are obtained as a result of the optimization procedure. Comparison of plots constructed with the help of the estimated parameters has shown that in such case the model with distributed delays is more chemically adequate in comparison with the discrete one. The methods of generalization of the results to the multi-substrate multi-inhibitor cases are discussed. MDPI 2022-01-27 /pmc/articles/PMC8839366/ /pubmed/35161724 http://dx.doi.org/10.3390/s22030980 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/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 (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Communication
Martsenyuk, Vasyl
Klos-Witkowska, Aleksandra
Dzyadevych, Sergei
Sverstiuk, Andriy
Nonlinear Analytics for Electrochemical Biosensor Design Using Enzyme Aggregates and Delayed Mass Action
title Nonlinear Analytics for Electrochemical Biosensor Design Using Enzyme Aggregates and Delayed Mass Action
title_full Nonlinear Analytics for Electrochemical Biosensor Design Using Enzyme Aggregates and Delayed Mass Action
title_fullStr Nonlinear Analytics for Electrochemical Biosensor Design Using Enzyme Aggregates and Delayed Mass Action
title_full_unstemmed Nonlinear Analytics for Electrochemical Biosensor Design Using Enzyme Aggregates and Delayed Mass Action
title_short Nonlinear Analytics for Electrochemical Biosensor Design Using Enzyme Aggregates and Delayed Mass Action
title_sort nonlinear analytics for electrochemical biosensor design using enzyme aggregates and delayed mass action
topic Communication
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8839366/
https://www.ncbi.nlm.nih.gov/pubmed/35161724
http://dx.doi.org/10.3390/s22030980
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