Assessing the Effect of Mycotoxin Combinations: Which Mathematical Model Is (the Most) Appropriate?
In the past decades, many studies have examined the nature of the interaction between mycotoxins in biological models classifying interaction effects as antagonisms, additive effects, or synergisms based on a comparison of the observed effect with the expected effect of combination. Among several de...
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MDPI AG
2020-02-01
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author | Domagoj Kifer Daniela Jakšić Maja Šegvić Klarić |
author_facet | Domagoj Kifer Daniela Jakšić Maja Šegvić Klarić |
author_sort | Domagoj Kifer |
collection | DOAJ |
description | In the past decades, many studies have examined the nature of the interaction between mycotoxins in biological models classifying interaction effects as antagonisms, additive effects, or synergisms based on a comparison of the observed effect with the expected effect of combination. Among several described mathematical models, the arithmetic definition of additivity and factorial analysis of variance were the most commonly used in mycotoxicology. These models are incorrectly based on the assumption that mycotoxin dose-effect curves are linear. More appropriate mathematical models for assessing mycotoxin interactions include Bliss independence, Loewe’s additivity law, combination index, and isobologram analysis, Chou-Talalays median-effect approach, response surface, code for the identification of synergism numerically efficient (CISNE) and MixLow method. However, it seems that neither model is ideal. This review discusses the advantages and disadvantages of these mathematical models. |
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issn | 2072-6651 |
language | English |
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spelling | doaj.art-b8baa0788bb047e8a20b81087c45b9792022-12-22T01:58:07ZengMDPI AGToxins2072-66512020-02-0112315310.3390/toxins12030153toxins12030153Assessing the Effect of Mycotoxin Combinations: Which Mathematical Model Is (the Most) Appropriate?Domagoj Kifer0Daniela Jakšić1Maja Šegvić Klarić2Department of Biophysics, Faculty of Pharmacy and Biochemistry, University of Zagreb, A. Kovačića 1, Zagreb 10000, CroatiaDepartment of Microbiology, Faculty of Pharmacy and Biochemistry, University of Zagreb, Schrottova 39, Zagreb 10000, CroatiaDepartment of Microbiology, Faculty of Pharmacy and Biochemistry, University of Zagreb, Schrottova 39, Zagreb 10000, CroatiaIn the past decades, many studies have examined the nature of the interaction between mycotoxins in biological models classifying interaction effects as antagonisms, additive effects, or synergisms based on a comparison of the observed effect with the expected effect of combination. Among several described mathematical models, the arithmetic definition of additivity and factorial analysis of variance were the most commonly used in mycotoxicology. These models are incorrectly based on the assumption that mycotoxin dose-effect curves are linear. More appropriate mathematical models for assessing mycotoxin interactions include Bliss independence, Loewe’s additivity law, combination index, and isobologram analysis, Chou-Talalays median-effect approach, response surface, code for the identification of synergism numerically efficient (CISNE) and MixLow method. However, it seems that neither model is ideal. This review discusses the advantages and disadvantages of these mathematical models.https://www.mdpi.com/2072-6651/12/3/153mycotoxin interactionloewe additivitycombination indexisobologramchou-talalay methodmixlow |
spellingShingle | Domagoj Kifer Daniela Jakšić Maja Šegvić Klarić Assessing the Effect of Mycotoxin Combinations: Which Mathematical Model Is (the Most) Appropriate? Toxins mycotoxin interaction loewe additivity combination index isobologram chou-talalay method mixlow |
title | Assessing the Effect of Mycotoxin Combinations: Which Mathematical Model Is (the Most) Appropriate? |
title_full | Assessing the Effect of Mycotoxin Combinations: Which Mathematical Model Is (the Most) Appropriate? |
title_fullStr | Assessing the Effect of Mycotoxin Combinations: Which Mathematical Model Is (the Most) Appropriate? |
title_full_unstemmed | Assessing the Effect of Mycotoxin Combinations: Which Mathematical Model Is (the Most) Appropriate? |
title_short | Assessing the Effect of Mycotoxin Combinations: Which Mathematical Model Is (the Most) Appropriate? |
title_sort | assessing the effect of mycotoxin combinations which mathematical model is the most appropriate |
topic | mycotoxin interaction loewe additivity combination index isobologram chou-talalay method mixlow |
url | https://www.mdpi.com/2072-6651/12/3/153 |
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