1989
DOI: 10.1111/j.1365-3180.1989.tb00845.x
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An equation to describe dose responses where there is stimulation of growth at low doses

Abstract: Summary An equation is presented lo describe the relationship of a plant response to herbicide dose where there is stimulation of response al low doses. Us properties are discussed and examples of its use are given. The equation includes the most commonly used sigmoidal curve as a special case.

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Cited by 280 publications
(248 citation statements)
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“…If the data fits the model within a confidence limit, usually of 95%, it is assumed that hormesis is present. There are some models that can be modified to better fit the hormetic response, including the quadratic function (93), Gompertz function (94,95) and logistic function (96). Deng et al (97) summarized some of these model-based approaches and developed a method to estimate the magnitude of the hormetic response.…”
Section: Studying Hormesismentioning
confidence: 99%
See 1 more Smart Citation
“…If the data fits the model within a confidence limit, usually of 95%, it is assumed that hormesis is present. There are some models that can be modified to better fit the hormetic response, including the quadratic function (93), Gompertz function (94,95) and logistic function (96). Deng et al (97) summarized some of these model-based approaches and developed a method to estimate the magnitude of the hormetic response.…”
Section: Studying Hormesismentioning
confidence: 99%
“…Deng et al (97) summarized some of these model-based approaches and developed a method to estimate the magnitude of the hormetic response. When testing for chemical hormesis the Brain and Cousens model (96), based on the logistic function, is the most commonly used. Further modifications of the Brain and Cousens model have been made by Van Ewijk and Hoekstra (98), and Schabenberger et al (23) in order to allow estimation of different parameters that are relevant for toxicology such as EC50, NOAEL and maximum stimulation dose (MSD).…”
Section: Studying Hormesismentioning
confidence: 99%
“…For the inhibition effect of aBSM/BSM on MDA-MB-231, a five-parametric Brain-Cousens hormesis model was used for fitting (61). and the abundance of sialyl groups on the cell surface, HeLa, MCF7, and MDA-MB-231 cells were treated with neuraminidase and subsequently exposed to riproximin in a cellular viability assay.…”
Section: Figure 2 Elisa Binding Analysismentioning
confidence: 99%
“…Resistance in the dose-response curve experiment is confirmed if there is a statistical difference in response to the herbicide between the resistant biotype and the susceptible biotype, evidenced by non-linear regression models (Brain & Cousens, 1989).…”
Section: Methodsmentioning
confidence: 99%