2016
DOI: 10.1093/biostatistics/kxw004
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Inference for the existence of hormetic dose–response relationships in toxicology studies

Abstract: SUMMARYIn toxicology studies hormesis refers to a dose-response relationship with a stimulatory response at low doses and an inhibitory response at high doses. In this manuscript, we particularly focus on a J-shaped dose-response relationship for binary cancer responses. We propose and examine two new flexible models for testing the hypothesis of hormesis in a Bayesian framework. The first model is parametric and enhances the flexibility of modeling a hormetic zone by using a non-linear predictor in a multista… Show more

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Cited by 10 publications
(8 citation statements)
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“…Polyphenol antioxidants have emerged with neuroprotective properties able to treat neurodegenerative diseases. The majority of these natural compounds are not only active scavengers of free radical species but also are capable of modulating prosurvival and antiapoptotic signaling pathways (Texel and Mattson, 2011;Mattson, 2014;Murugaiyah and Mattson, 2015;Kim et al, 2016). With respect to synthetic drugs showing generally only one mechanism of action, these compounds have a greater potential based on multiple lines of neuroprotection, such as (i) direct scavenging of free radicals; (ii) enhancement of endogenous cellular antioxidant potential by Nrf2 transcription factor pathway activation; (iii) modulation of signal transduction cascades; or (iv) regulation of gene expression.…”
Section: Discussionmentioning
confidence: 99%
“…Polyphenol antioxidants have emerged with neuroprotective properties able to treat neurodegenerative diseases. The majority of these natural compounds are not only active scavengers of free radical species but also are capable of modulating prosurvival and antiapoptotic signaling pathways (Texel and Mattson, 2011;Mattson, 2014;Murugaiyah and Mattson, 2015;Kim et al, 2016). With respect to synthetic drugs showing generally only one mechanism of action, these compounds have a greater potential based on multiple lines of neuroprotection, such as (i) direct scavenging of free radicals; (ii) enhancement of endogenous cellular antioxidant potential by Nrf2 transcription factor pathway activation; (iii) modulation of signal transduction cascades; or (iv) regulation of gene expression.…”
Section: Discussionmentioning
confidence: 99%
“…This parameterization is referred to as the L4 model, where L4 stands for the logistic regression with 4 parameters β 0 , β 1 , β 2 , and β 3 . A similar parameterization was discussed by Kim et al 17 Compared to the L3 model, the L4 model is more flexible while it maintains the same form of hypothesis testing H 0 : β 1 ≥ 0 versus H 1 : β 1 < 0. As shown in Figure 2, the L3 model is limited to a symmetric hormetic zone only (figure on the left), and the L4 model is able to generate an asymmetric hormetic zone by adding the power parameter β 3 (figures in the middle and on the right).…”
Section: Methodsmentioning
confidence: 99%
“…To test for hormesis, the Mack-Wolfe test, a nonparametric rank test for detecting "umbrella" alternatives to monotonic functions, could be performed on the BFRA curves. [79,80] In this way, researchers can use behavioral posology to hypothesize, model, and test causal mechanisms for behavioral addictions.…”
Section: Experimental Validation Of Behavioral Pk/pd Modelsmentioning
confidence: 99%