John Wiley & Sons, Ltd.

Statistical modelling of the hormetic dose zone and the toxic potency completes the quantitative description of hormetic dose responses

0
- By: ,

Courtesy of John Wiley & Sons, Ltd.

Quantifying the characteristics of hormesis provides valuable insights into this low‐dose phenomenon and helps to display and capture its variability. A prerequisite to do so is a statistical procedure allowing to quantify general hormetic features, namely the maximum stimulatory response, the ‘dose range of hormesis’, and the distance from the maximum stimulation to the dose where hormesis disappears. Applying extensions of a hormetic dose‐response model that is well‐established in plant biology provides a direct estimation of several quantities except the ‘hormetic dose range’. Another dose range that is yet difficult to model directly is the distance between the dose where hormesis disappears and the dose giving 50% inhibition known as ‘toxic potency’. This contribution presents 2 further model extensions allowing for a direct quantification of the ‘hormetic dose range’ and the ‘toxic potency’. Based on this, a four‐step mathematical modelling approach is demonstrated to quantify various dose‐response quantities, to compare these quantities among treatments, and to interrelate hormesis features. Practical challenges are exemplified and possible remedies identified. The software code to perform the analyses is provided to simplify the adoption of the modelling procedure. Regarding the numerous patterns of hormesis observed in various sciences, it is clear that the proposed approach cannot cope with all patterns, however, it should be possible to analyse a great range of hormesis patterns. This article is protected by copyright. All rights reserved

Customer comments

No comments were found for Statistical modelling of the hormetic dose zone and the toxic potency completes the quantitative description of hormetic dose responses. Be the first to comment!