Determination of Reactivity Ratios from Binary Copolymerization Using the k-Nearest Neighbor Non-Parametric Regression

This paper proposes a new method for calculating the monomer reactivity ratios for binary copolymerization based on the terminal model. The original optimization method involves a numerical integration algorithm and an optimization algorithm based on k-nearest neighbour non-parametric regression. Th...

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Autores principales: Iosif Sorin Fazakas-Anca, Arina Modrea, Sorin Vlase
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/7114f9010aef4fc59c96c1e7ee5731c5
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spelling oai:doaj.org-article:7114f9010aef4fc59c96c1e7ee5731c52021-11-11T18:47:58ZDetermination of Reactivity Ratios from Binary Copolymerization Using the k-Nearest Neighbor Non-Parametric Regression10.3390/polym132138112073-4360https://doaj.org/article/7114f9010aef4fc59c96c1e7ee5731c52021-11-01T00:00:00Zhttps://www.mdpi.com/2073-4360/13/21/3811https://doaj.org/toc/2073-4360This paper proposes a new method for calculating the monomer reactivity ratios for binary copolymerization based on the terminal model. The original optimization method involves a numerical integration algorithm and an optimization algorithm based on k-nearest neighbour non-parametric regression. The calculation method has been tested on simulated and experimental data sets, at low (<10%), medium (10–35%) and high conversions (>40%), yielding reactivity ratios in a good agreement with the usual methods such as intersection, Fineman–Ross, reverse Fineman–Ross, Kelen–Tüdös, extended Kelen–Tüdös and the error in variable method. The experimental data sets used in this comparative analysis are copolymerization of 2-(<i>N</i>-phthalimido) ethyl acrylate with 1-vinyl-2-pyrolidone for low conversion, copolymerization of isoprene with glycidyl methacrylate for medium conversion and copolymerization of <i>N</i>-isopropylacrylamide with <i>N</i>,<i>N</i>-dimethylacrylamide for high conversion. Also, the possibility to estimate experimental errors from a single experimental data set formed by n experimental data is shown.Iosif Sorin Fazakas-AncaArina ModreaSorin VlaseMDPI AGarticlek-NN regressionreactivity ratiosoptimizationcopolymerizationerror estimationpropagation rateOrganic chemistryQD241-441ENPolymers, Vol 13, Iss 3811, p 3811 (2021)
institution DOAJ
collection DOAJ
language EN
topic k-NN regression
reactivity ratios
optimization
copolymerization
error estimation
propagation rate
Organic chemistry
QD241-441
spellingShingle k-NN regression
reactivity ratios
optimization
copolymerization
error estimation
propagation rate
Organic chemistry
QD241-441
Iosif Sorin Fazakas-Anca
Arina Modrea
Sorin Vlase
Determination of Reactivity Ratios from Binary Copolymerization Using the k-Nearest Neighbor Non-Parametric Regression
description This paper proposes a new method for calculating the monomer reactivity ratios for binary copolymerization based on the terminal model. The original optimization method involves a numerical integration algorithm and an optimization algorithm based on k-nearest neighbour non-parametric regression. The calculation method has been tested on simulated and experimental data sets, at low (<10%), medium (10–35%) and high conversions (>40%), yielding reactivity ratios in a good agreement with the usual methods such as intersection, Fineman–Ross, reverse Fineman–Ross, Kelen–Tüdös, extended Kelen–Tüdös and the error in variable method. The experimental data sets used in this comparative analysis are copolymerization of 2-(<i>N</i>-phthalimido) ethyl acrylate with 1-vinyl-2-pyrolidone for low conversion, copolymerization of isoprene with glycidyl methacrylate for medium conversion and copolymerization of <i>N</i>-isopropylacrylamide with <i>N</i>,<i>N</i>-dimethylacrylamide for high conversion. Also, the possibility to estimate experimental errors from a single experimental data set formed by n experimental data is shown.
format article
author Iosif Sorin Fazakas-Anca
Arina Modrea
Sorin Vlase
author_facet Iosif Sorin Fazakas-Anca
Arina Modrea
Sorin Vlase
author_sort Iosif Sorin Fazakas-Anca
title Determination of Reactivity Ratios from Binary Copolymerization Using the k-Nearest Neighbor Non-Parametric Regression
title_short Determination of Reactivity Ratios from Binary Copolymerization Using the k-Nearest Neighbor Non-Parametric Regression
title_full Determination of Reactivity Ratios from Binary Copolymerization Using the k-Nearest Neighbor Non-Parametric Regression
title_fullStr Determination of Reactivity Ratios from Binary Copolymerization Using the k-Nearest Neighbor Non-Parametric Regression
title_full_unstemmed Determination of Reactivity Ratios from Binary Copolymerization Using the k-Nearest Neighbor Non-Parametric Regression
title_sort determination of reactivity ratios from binary copolymerization using the k-nearest neighbor non-parametric regression
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/7114f9010aef4fc59c96c1e7ee5731c5
work_keys_str_mv AT iosifsorinfazakasanca determinationofreactivityratiosfrombinarycopolymerizationusingtheknearestneighbornonparametricregression
AT arinamodrea determinationofreactivityratiosfrombinarycopolymerizationusingtheknearestneighbornonparametricregression
AT sorinvlase determinationofreactivityratiosfrombinarycopolymerizationusingtheknearestneighbornonparametricregression
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