Estimating the Product Inhibition Constant from Enzyme Kinetic Equations Using the Direct Linear Plot Method in One-Stage Treatment

Estimating the Product Inhibition Constant from Enzyme Kinetic Equations Using the Direct Linear Plot Method in One-Stage Treatment

A direct linear plot was applied to estimate kinetic constants using the product’s competitive inhibition equation. The challenge consisted of estimating three kinetic constants, <i>V<sub>max</sub></i>, <i>K<sub>m</sub></i><sub>,</sub> and...

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Main Authors: Pedro L. Valencia, Bastián Sepúlveda, Diego Gajardo, Carolina Astudillo-Castro
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Catalysts
Subjects:
direct linear plot
median method
product inhibition
kinetic constants
non-parametric
distribution-free method
Online Access:https://www.mdpi.com/2073-4344/10/8/853
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spelling doaj-400012fcd66f4541820de412049929aa2020-11-25T03:43:48ZengMDPI AGCatalysts2073-43442020-08-011085385310.3390/catal10080853Estimating the Product Inhibition Constant from Enzyme Kinetic Equations Using the Direct Linear Plot Method in One-Stage TreatmentPedro L. Valencia0Bastián Sepúlveda1Diego Gajardo2Carolina Astudillo-Castro3Department of Chemical and Environmental Engineering, Universidad Técnica Federico Santa María, P.O. Box 110-V, Valparaíso 2390123, ChileDepartment of Mathematics, Universidad Técnica Federico Santa María, Valparaíso 2390123, ChileDepartment of Mathematics, Universidad Técnica Federico Santa María, Valparaíso 2390123, ChileSchool of Food Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2360100, ChileA direct linear plot was applied to estimate kinetic constants using the product’s competitive inhibition equation. The challenge consisted of estimating three kinetic constants, <i>V<sub>max</sub></i>, <i>K<sub>m</sub></i><sub>,</sub> and <i>K<sub>p</sub></i>, using two independent variables, substrates, and product concentrations, in just one stage of mathematical treatment. The method consisted of combining three initial reaction rate data and avoiding the use of the same three product concentrations (otherwise, this would result in a mathematical indetermination). The direct linear plot method was highly superior to the least-squares method in terms of accuracy and robustness, even under the addition of error. The direct linear plot method is a reliable and robust method that can be applied to estimate <i>K<sub>p</sub></i> in inhibition studies in pharmaceutical and biotechnological areas.https://www.mdpi.com/2073-4344/10/8/853direct linear plotmedian methodproduct inhibitionkinetic constantsnon-parametricdistribution-free method
collection DOAJ
language English
format Article
sources DOAJ
author Pedro L. Valencia
Bastián Sepúlveda
Diego Gajardo
Carolina Astudillo-Castro
spellingShingle Pedro L. Valencia
Bastián Sepúlveda
Diego Gajardo
Carolina Astudillo-Castro
Estimating the Product Inhibition Constant from Enzyme Kinetic Equations Using the Direct Linear Plot Method in One-Stage Treatment
Catalysts
direct linear plot
median method
product inhibition
kinetic constants
non-parametric
distribution-free method
author_facet Pedro L. Valencia
Bastián Sepúlveda
Diego Gajardo
Carolina Astudillo-Castro
author_sort Pedro L. Valencia
title Estimating the Product Inhibition Constant from Enzyme Kinetic Equations Using the Direct Linear Plot Method in One-Stage Treatment
title_short Estimating the Product Inhibition Constant from Enzyme Kinetic Equations Using the Direct Linear Plot Method in One-Stage Treatment
title_full Estimating the Product Inhibition Constant from Enzyme Kinetic Equations Using the Direct Linear Plot Method in One-Stage Treatment
title_fullStr Estimating the Product Inhibition Constant from Enzyme Kinetic Equations Using the Direct Linear Plot Method in One-Stage Treatment
title_full_unstemmed Estimating the Product Inhibition Constant from Enzyme Kinetic Equations Using the Direct Linear Plot Method in One-Stage Treatment
title_sort estimating the product inhibition constant from enzyme kinetic equations using the direct linear plot method in one-stage treatment
publisher MDPI AG
series Catalysts
issn 2073-4344
publishDate 2020-08-01
description A direct linear plot was applied to estimate kinetic constants using the product’s competitive inhibition equation. The challenge consisted of estimating three kinetic constants, <i>V<sub>max</sub></i>, <i>K<sub>m</sub></i><sub>,</sub> and <i>K<sub>p</sub></i>, using two independent variables, substrates, and product concentrations, in just one stage of mathematical treatment. The method consisted of combining three initial reaction rate data and avoiding the use of the same three product concentrations (otherwise, this would result in a mathematical indetermination). The direct linear plot method was highly superior to the least-squares method in terms of accuracy and robustness, even under the addition of error. The direct linear plot method is a reliable and robust method that can be applied to estimate <i>K<sub>p</sub></i> in inhibition studies in pharmaceutical and biotechnological areas.
topic direct linear plot
median method
product inhibition
kinetic constants
non-parametric
distribution-free method
url https://www.mdpi.com/2073-4344/10/8/853
work_keys_str_mv AT pedrolvalencia estimatingtheproductinhibitionconstantfromenzymekineticequationsusingthedirectlinearplotmethodinonestagetreatment
AT bastiansepulveda estimatingtheproductinhibitionconstantfromenzymekineticequationsusingthedirectlinearplotmethodinonestagetreatment
AT diegogajardo estimatingtheproductinhibitionconstantfromenzymekineticequationsusingthedirectlinearplotmethodinonestagetreatment
AT carolinaastudillocastro estimatingtheproductinhibitionconstantfromenzymekineticequationsusingthedirectlinearplotmethodinonestagetreatment
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