ArticleDose-response : a publication of International Hormesis Society
A Universal Delayed Difference Model Fitting Dose-response Curves.
Article in Dose-response : a publication of International Hormesis Society. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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9 citing papers in PubMed.
- Noninvasive Evaluation of Prolonged-Release Pirfenidone in Compensated Liver Cirrhosis. ODISEA Study, a Randomised Trial.Liver international : official journal of the International Association for the Study of the Liver · 2025Trial
- In Vitro Antitrypanosomal and Antibacterial Activity of Aqueous, Hydroethanolic and Ethanolic Extracts of Rumex obtusifolius L. Leaf and Root.Basic & clinical pharmacology & toxicology · 2026Article
- Pharmacological Insights into Optimal Dosing in Burning Mouth Syndrome: A Narrative Review of the Non-Linear Actions of Amitriptyline and Aripiprazole.Journal of clinical medicine · 2025Review
- Redox metabolic disruptions in the honey bee brain following acute exposure to the pyrethroid deltamethrin.Scientific reports · 2025Article
- Investigation of Cell Damage Induced by Silver Nanoparticles in a Model Cell System.Pharmaceutics · 2025Article
- Effect of remimazolam toluene sulfonate on the cognitive function of juveniles and its mechanism of action.European journal of medical research · 2024Article
- Article
- Enemies or Allies? Hormetic and Apparent Non-Dose-Dependent Effects of Natural Bioactive Antioxidants in the Treatment of Inflammation.International journal of molecular sciences · 2024Review
- Selective Targeting and Eradication of Various Human Non-Small Cell Lung Cancer Cell Lines Using Self-Assembled Aptamer-Decorated Nanoparticles.Pharmaceutics · 2022Article
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4 authors.
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Abstract
purposeDose-response curves, which fit a multitude of experimental data derived from toxicology, are widely used in physics, chemistry, biology, and other fields. Although there are many dose-response models for fitting dose-response curves, the application of these models is limited by many restrictions and lacks universality, so there is a need for a novel, universal dynamical model that can improve fits to various types of dose-response curves.
methodsWe expand the hormetic Ricker model, taking the delay inherent in the dose-response into account, and develop a novel and dynamic delayed Ricker difference model (DRDM) to fit various types of dose-response curves. Furthermore, we compare the DRDM with other dose-response models to confirm that it can mimic different types of dose-response curves. DATA ANALYSIS: By fitting various types of dose-response data sets derived from drug applications, disease treatment, pest control, and plant management, and comparing the imitative effect of the DRDM with other models, we find that the DRDM fits monotonic dose-response data well and, in most circumstances, the DRDM has a better imitative effect to non-monotonic dose-response data with hormesis than other models do.
resultsThe MSE of fits of the DRDM to S-shaped dose-response data (DS2-G) is not lower than those for four other models, but the MSE of fits to U-shaped (DS7) and inverted U-shaped dose-response data (DS10) were lower than for two other models. This means that the imitative effect of the DRDM is comparable to other models of monotonic dose-response data, but is a significant improvement compared to traditional models of non-monotonic dose-response data with hormesis.
conclusionWe propose a novel dynamic model (DRDM) for fitting to various types of dose-response curves, which can reflect the dynamic trend of the population growth compared with traditional static dose-response models. By analyzing data, we have confirmed that the DRDM provides an ideal description of various dose-response observations and it can be used to fit a wide range of dose-response data sets, especially for hormetic data sets. Therefore, we conclude that the DRDM has a good universality for dose-response curve fitting.
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