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Using Various Nonlinear Response Surfaces for Mathematical Description of the Type of Combined Toxicity

The article considers the problem of characterizing the type of combined action produced by a mixture of toxic substances with the help of nonlinear response functions. Most attention is given to second-order models: the linear model with a cross-term and the quadratic model. General propositions ar...

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Autores principales: Varaksin, Anatoly N., Panov, Vladimir G., Katsnelson, Boris A., Minigalieva, Ilzira A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: SAGE Publications 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6299322/
https://www.ncbi.nlm.nih.gov/pubmed/30574029
http://dx.doi.org/10.1177/1559325818816596
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author Varaksin, Anatoly N.
Panov, Vladimir G.
Katsnelson, Boris A.
Minigalieva, Ilzira A.
author_facet Varaksin, Anatoly N.
Panov, Vladimir G.
Katsnelson, Boris A.
Minigalieva, Ilzira A.
author_sort Varaksin, Anatoly N.
collection PubMed
description The article considers the problem of characterizing the type of combined action produced by a mixture of toxic substances with the help of nonlinear response functions. Most attention is given to second-order models: the linear model with a cross-term and the quadratic model. General propositions are formulated based on the data on combined toxicity patterns previously obtained by the Ekaterinburg nanotoxicology team in animal experiments and analyzed with the help of the linear model with a cross-term. It is shown now that the quadratic model features these general characteristics in full measure, but interpretation of combined toxicity types based on isobolograms obtained by the quadratic model is more difficult. This suggests that where both models ensure a comparable quality of combined toxicity type identification, it would be enough to use the linear model with a cross-term.
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spelling pubmed-62993222018-12-20 Using Various Nonlinear Response Surfaces for Mathematical Description of the Type of Combined Toxicity Varaksin, Anatoly N. Panov, Vladimir G. Katsnelson, Boris A. Minigalieva, Ilzira A. Dose Response Original Article The article considers the problem of characterizing the type of combined action produced by a mixture of toxic substances with the help of nonlinear response functions. Most attention is given to second-order models: the linear model with a cross-term and the quadratic model. General propositions are formulated based on the data on combined toxicity patterns previously obtained by the Ekaterinburg nanotoxicology team in animal experiments and analyzed with the help of the linear model with a cross-term. It is shown now that the quadratic model features these general characteristics in full measure, but interpretation of combined toxicity types based on isobolograms obtained by the quadratic model is more difficult. This suggests that where both models ensure a comparable quality of combined toxicity type identification, it would be enough to use the linear model with a cross-term. SAGE Publications 2018-12-05 /pmc/articles/PMC6299322/ /pubmed/30574029 http://dx.doi.org/10.1177/1559325818816596 Text en © The Author(s) 2018 http://creativecommons.org/licenses/by-nc/4.0/ This article is distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 License (http://www.creativecommons.org/licenses/by-nc/4.0/) which permits non-commercial use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access pages (https://us.sagepub.com/en-us/nam/open-access-at-sage).
spellingShingle Original Article
Varaksin, Anatoly N.
Panov, Vladimir G.
Katsnelson, Boris A.
Minigalieva, Ilzira A.
Using Various Nonlinear Response Surfaces for Mathematical Description of the Type of Combined Toxicity
title Using Various Nonlinear Response Surfaces for Mathematical Description of the Type of Combined Toxicity
title_full Using Various Nonlinear Response Surfaces for Mathematical Description of the Type of Combined Toxicity
title_fullStr Using Various Nonlinear Response Surfaces for Mathematical Description of the Type of Combined Toxicity
title_full_unstemmed Using Various Nonlinear Response Surfaces for Mathematical Description of the Type of Combined Toxicity
title_short Using Various Nonlinear Response Surfaces for Mathematical Description of the Type of Combined Toxicity
title_sort using various nonlinear response surfaces for mathematical description of the type of combined toxicity
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6299322/
https://www.ncbi.nlm.nih.gov/pubmed/30574029
http://dx.doi.org/10.1177/1559325818816596
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