Toxicology mathematical models

Environmental toxicology—Mathematical models. 2. Health risk assessment—Mathematical models. 3. Extrapolation. I. Solomon, Keith R. II. SETAC (Society)... 

Benigni, R. and Giuliani, A. (1994). Quantitative Structure-Activity Relationship (QSAR) Studies in Genetic Toxicology. Mathematical Models and the Biological Activity Term of the Relationship. Mut.Res., 306,181-186. 

Toxicology - Mathematical models. 2. Toxicology - Computer simulation. 3. QSAR (Biochemistry) I. Ekins, Sean. II. Series. 

QSAR) studies in genetic toxicology mathematical models and the biological activity term of the relationship. Mutat. Res. 306,181-186. 

ECETOC (1994) HAZCHEM. A mathematical model for use in risk assessment of substances. Special report n. 8. European Centre for Ecotoxicology and Toxicology of Chemicals, Brussels... 

Hartzell, G.E. Stacy, H.W. Switzer, W.G. Priest, D.N. "Modeling of Toxicological Effects of Fire Gases V. Mathematical Modeling Intoxication of Rats by Combined Carbon Monoxide and Hydrogen Cyanide Atmospheres," J. Fire Sciences 1985, 3(5), 330-342. 

CJ Portier NIEHS Increase the use and application of mathematical and statistical models in toxicology and biochemistry and to implement new mathematical models to help explain current research findings relating to carcinogenesis and suppressed immune function following exposure to toxicants such as 2,3,7,8-TCDD... 

Structure-activity relationships (SARs) and quantitative structure-activity relationships (QSARs), referred to collectively as QSARs, can be used for the prediction of physicochemical properties, environmental fate parameters (e.g., accumulation and biodegradation), human health effects, and ecotoxicological effects. A SAR is a (qualitative) association between a chemical substructure and the potential of a chemical containing the substructure to exhibit a certain physical or biological effect. A QS AR is a mathematical model that relates a quantitative measure of chemical structure (e.g., a physicochemical property) to a physical property or to a biological effect (e.g., a toxicological endpoint). 

D. F. V. Lewis, in Animals and Alternatives in Toxicology, M. Balls, J. Bridges, and J. Southee, Eds., Macmillan, London, 1991. Computers and Mathematical Modelling. 

Scheding S, Loeffler M, Schmitz S, et al. 1992. Hematotoxic effects of benzene analyzed by mathematical modeling. Toxicology 72 265-279. 

EDLER L., POIRER K., DOURSON M., KLEINER J., MILESON B., NORDMANN H., RENWICK A., SLOB W., WALTON K., WURTZEN G., (2002), Mathematical modelling and quantitative methods. Food and Chemical Toxicology, 40, pp. 283-326. 

Timm J. Mathematical Models for Risk Extrapolation. In Greim HS, ed. Toxicology and Risk Assessment A Comprehensive Introduction. Wiley Chichester, 2008 479-494. 

In this chapter we introduce various techniques for fabricating miniature cell culture devices and cell-based biosensors, provide examples of human and animal cells immobilized on the chip devices, and explain different approaches to pattern multiple types of cells on one device. The application of nano and micro techniques in precise control over the cellular microenvironment is discussed. Selective cell-based biosensors are described later in the chapter. Finally, we conclude that these novel cell culture systems, coupled with predictions from in silico mathematical modeling, can potentially improve predictions of human clinical responses and enable better understanding of toxicological mechanisms. 

We expect that these novel cell culture systems, coupled with predictions from in silico and mathematical modeling, will provide new insights into the toxicity of environmental and pharmaceutical chemicals, expand our understanding of toxicological mechanisms, and improve prediction of human clinical responses. 

Fig. 5. Predictive mathematical models for estimating the elapsed time in hours (Hrs) of last cannabis use based on plasmazl -tetrahydrocannabinol (THC) and 1 Tnor-9-carboxy-2l -tetrahydrocannabinol (THCCOOH) concentrations. (Reproduced from the Journal of Analytic Toxicology, by permission of Preston Publications, a division of Preston Industries Huestis et al. 1992c, Fig. 1 therein)...

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