1996
DOI: 10.1002/etc.5620150824
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Quantitative description of mixture toxicity: Effect of level of response on interactions

Abstract: Abstract-The simultaneous exposure of a biological system to a mixture of toxic substances may result in an ideal or nonideal combination of effects. In an extension of linear isobole theory, models are quantitatively developed to describe these combinations, in which the nature of the nonideal effect combination may or may not be a function of the magnitude of predicted response (as opposed to only the proportions of the substances in a mixture). The approach is tested using data on rat carcinogenesis, drug a… Show more

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Cited by 29 publications
(22 citation statements)
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(17 reference statements)
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“…The deviations of ␤ 2 and ␤ 3 from zero were evaluated using a t test [15]. Mixture effects were analyzed by applying the computational framework proposed by Jonker [16] and Haas et al [17]. Following their derivations, the binary TU mixture model can be generalized to…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…The deviations of ␤ 2 and ␤ 3 from zero were evaluated using a t test [15]. Mixture effects were analyzed by applying the computational framework proposed by Jonker [16] and Haas et al [17]. Following their derivations, the binary TU mixture model can be generalized to…”
Section: Discussionmentioning
confidence: 99%
“…The reference models are defined by G ϭ 0 in Equations 2 and 3. Details of the model applications have been outlined by Jonker [16] and Haas et al [17]. In short, G enables the quantification of four distinct deviations from the reference model: No deviation; synergism/antagonism in all mixture combinations (S/A); toxicant ratio-dependent deviation (TR), where the deviation pattern (S/A) depends on the mutual proportion of the toxicants in the mixture; and effect level-dependent deviation (EL), where the deviation (S/A) depends on the dose level tested.…”
Section: Predominantly Synergismmentioning
confidence: 99%
“…Haas et al (1996) evaluated published results on the interactions between endrin and malathion in flagfish using a single component Weibull dose-response relationship. They showed an interaction which Hermanutz et al (1985) had reported.…”
Section: Supporting Publications 2012:en-347 92mentioning
confidence: 99%
“…However, there are few examples in the literature of effects greater than three times the effects expected from additivity (ECETOC, 2001). Non-additive interactions increase as dose of the mixture increases but may be significant at low, environmentally relevant doses (Haas et aL, 1996). For regulatory purposes, dose addition is considered to provide the reasonable worst case estimate of toxicity for similar and dissimilar mixtures (Faust et aL, 2000;Grimme et aL, 1996).…”
Section: Risk Calculation Procedures For Component Dose Addition Apprmentioning
confidence: 99%