ArticleScientific reports2017
Kinetic interpretation of log-logistic dose-time response curves.
Article in Scientific reports, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Article
- Deep Eutectic Solvents as More Sustainable Dispersion Media for Beeswax Coatings from Cultural Heritage: Experimental Insights and Theoretical Modeling.Chemistry, an Asian journal · 2025Article
- Machine Learning Identifies a Parsimonious Differential Equation for Myricetin Degradation from Scarce Data.Foods (Basel, Switzerland) · 2025Article
- Real-timeBiomedical optics express · 2023Article
- Selective Targeting and Eradication of Various Human Non-Small Cell Lung Cancer Cell Lines Using Self-Assembled Aptamer-Decorated Nanoparticles.Pharmaceutics · 2022Article
- Extrapolating from acute to chronic toxicity in vitro.Toxicology in vitro : an international journal published in association with BIBRA · 2021Article
- Membrane fusion and drug delivery with carbon nanotube porins.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Effects of chlorpyrifos and trichloropyridinol on HEK 293 human embryonic kidney cells.Chemosphere · 2018Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
A Hill-type time-response curve was derived using a single-step chemical kinetics approximation. The rate expression for the transformation is a differential equation that provides an interpolation formula between the logistic growth curve and second order kinetics. The solution is equivalent to the log-logistic cumulative distribution function with the time constant expressed in terms of a kinetic rate constant. This expression was extended to a full dose-time-response equation by postulating a concentration dependence for the rate constant. This was achieved by invoking a modified form of Haber's law that connects an observed toxic effect with the concentration of the active agent and the elapsed exposure time. Analysis showed that the concept of Concentration Addition corresponds to a special case where the rate constant for the overall transformation rate is proportional to the sum of the rate constants that apply when the agents act individually. Biodiesel "survival" curves were measured and used to test the applicability of the empirical model to describe the effects of inhibitor dosage and binary inhibitor mixtures. Positive results suggest that the proposed dose-response relationship for the toxicity of agents to organisms can be extended to inanimate systems especially in cases where accurate mechanistic models are lacking.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.