Non-linear Optimization of Parameters in Hill Kinetics

A novel least squares optimization of parameters in Hill enzyme kinetics has been developed. The method is based on transformation into “Michaelis-Menten like” type of equation with guaranteed convergence and the initial guess equal to zero. By using this approach, a three parameters non-linear opti...

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Main Author: Željko Jeričević
Format: Article
Language:English
Published: Croatian Chemical Society 2016-06-01
Series:Croatica Chemica Acta
Online Access:http://hrcak.srce.hr/file/248246
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spelling doaj-cd96c9039e6e4f07b1f67c31ed98b5462020-11-24T23:01:25ZengCroatian Chemical SocietyCroatica Chemica Acta0011-16431334-417X2016-06-0189221321510.5562/cca2863168222Non-linear Optimization of Parameters in Hill KineticsŽeljko Jeričević0Department of Computer Engineering, Technical Faculty, Vukovarska 58, HR-51000 Rijeka, CroatiaA novel least squares optimization of parameters in Hill enzyme kinetics has been developed. The method is based on transformation into “Michaelis-Menten like” type of equation with guaranteed convergence and the initial guess equal to zero. By using this approach, a three parameters non-linear optimization problem is transformed into a one-dimensional search for Hill’s coefficient (exponential parameter <i>n</i>). Numerical experiments illustrating feasibility of the method and quality of the solution are presented. <br><a rel="license" href="http://creativecommons.org/licenses/by/4.0/"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by/4.0/80x15.png" /></a> This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>.http://hrcak.srce.hr/file/248246
collection DOAJ
language English
format Article
sources DOAJ
author Željko Jeričević
spellingShingle Željko Jeričević
Non-linear Optimization of Parameters in Hill Kinetics
Croatica Chemica Acta
author_facet Željko Jeričević
author_sort Željko Jeričević
title Non-linear Optimization of Parameters in Hill Kinetics
title_short Non-linear Optimization of Parameters in Hill Kinetics
title_full Non-linear Optimization of Parameters in Hill Kinetics
title_fullStr Non-linear Optimization of Parameters in Hill Kinetics
title_full_unstemmed Non-linear Optimization of Parameters in Hill Kinetics
title_sort non-linear optimization of parameters in hill kinetics
publisher Croatian Chemical Society
series Croatica Chemica Acta
issn 0011-1643
1334-417X
publishDate 2016-06-01
description A novel least squares optimization of parameters in Hill enzyme kinetics has been developed. The method is based on transformation into “Michaelis-Menten like” type of equation with guaranteed convergence and the initial guess equal to zero. By using this approach, a three parameters non-linear optimization problem is transformed into a one-dimensional search for Hill’s coefficient (exponential parameter <i>n</i>). Numerical experiments illustrating feasibility of the method and quality of the solution are presented. <br><a rel="license" href="http://creativecommons.org/licenses/by/4.0/"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by/4.0/80x15.png" /></a> This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>.
url http://hrcak.srce.hr/file/248246
work_keys_str_mv AT zeljkojericevic nonlinearoptimizationofparametersinhillkinetics
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