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In the present study, the mass concentrations derived based on measured aerosol levels were taken as a basis and used as inputs to model the mass of NPs that could deposit and be retained deep in human lungs.
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This concentration was derived based on a survey of fluoride concentrations in ready-to-use formula (mean, 0.23 mg/kg fluoride), concentrated liquid (mean, 0.6 mg/kg fluoride), and powdered concentrate (1.13 mg/kg fluoride) sold in retail stores in the United States (ATSDR 2001; Dabeka and McKenzie 1987).
High fit degree parametric equations for stress concentration factor calculation are derived based on the ZPSS approach for stress analysis of tubular T-joints in engineering.
A pseudo-first order extraction rate expression has been derived based on concentrations in monomer units.
BE values are derived based on expected average concentrations (either volume based or creatinine adjusted) in urine under conditions consistent with the underlying exposure guidance value (chronic or acute exposure conditions).
An empirical relationship between the critical drift concentration factor and the overall regularity index is derived based on the dynamic analysis results.
An extended linear driving-force (LDF) approximation for the intraparticle diffusion rate is derived based on a cubic intraparticle concentration profile.
The hot spot stresses at the tubular joints in such analysis are normally derived based on parametric equations for stress concentration factors.
IIV was assessed on all structural model parameters, as was interoccasion variability (the occasion variable was derived based on the visit number: it was assumed that concentrations measured at different study visits represented distinct occasions).
Using these concentrations, insulin sensitivity (SI) and the acute insulin response to glucose (AIRg) were derived based on Bergman's minimal model (3, 6).
Estimates of benchmark concentrations for three example responses of interest (induction of cytochrome P4501A2 activity, dental anomalies, and neonatal thyroid hormone alterations) were derived based on selected human studies.
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