New models for the time dependent toxicity of individual and combined toxicants

Toxicology Research
R J W Lambert, Douglas A Dawson

Abstract

Time-dependent toxicity data of specific toxicants observed against A. fischeri were analysed using a single time-dependent Weibull cumulative distribution function (CDF). For binary mixtures the individual Weibull parameters provided the marginals for a bivariate copula model, characterised by a single extra parameter, the interaction exponent, θ. The copula model unites both the dose addition (DA, Loewe additivity) and dose independence (DI, Bliss independence) hypotheses of combinations into a single explicit equation and returns both hypotheses as special cases. The model predicts the linear isoboles from sham (like against like) experiments and the linear, concave, convex and mixed concave-convex isoboles from true binary mixtures. Systems are defined as being independent when θ = 1, additive when min(n1, n2) ≤ θ ≤ max(n1, n2), antagonistic when θ < min(n1, n2) and synergistic when θ > max(n1, n2), where n i are the individual dose (concentration) exponents. More complex mixtures were analysed by developing n-dimensional copulas: two ternary systems were analysed using a ternary copula that returned the three bivariate marginals and the three individual marginals of the mixture. The general model can also be used for time...Continue Reading

References

Feb 1, 1978·The Journal of Infectious Diseases·M C Berenbaum
Jun 7, 1985·Journal of Theoretical Biology·M C Berenbaum
Jul 28, 2001·Journal of Applied Microbiology·R J Lambert
Oct 17, 2003·Pest Management Science·Marion JunghansL Horst Grimme
Oct 22, 2003·Bulletin of Environmental Contamination and Toxicology·M JunghansL H Grimme
Jan 6, 2010·Environmental Health Perspectives·Sofie ChristiansenUlla Hass
Dec 3, 2014·Toxicology·Douglas A DawsonGerald Pöch

❮ Previous
Next ❯

Citations

Dec 19, 2019·Frontiers in Pharmacology·Simone LedererTom Heskes
Apr 26, 2020·Food and Chemical Toxicology : an International Journal Published for the British Industrial Biological Research Association·Ronald N KostoffAristidis Tsatsakis

❮ Previous
Next ❯

Software Mentioned

stats
SAS
Mathematica
Excel
JMP

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

International Journal of Food Microbiology
M Anastasiadi, R J W Lambert
Food and Chemical Toxicology : an International Journal Published for the British Industrial Biological Research Association
R AltenburgerL H Grimme
© 2021 Meta ULC. All rights reserved