The linear trapezoidal rule method is commonly used for the estimation of the area under the plasma level-time curve. Error analyses are performed when the method is used in first-order absorption and first-order elimination kinetics in the one-compartment system. It is found that significant underestimations and overestimations in area during the absorption phase and postabsorption phase, respectively, can occur when the method is improperly used. During the exponential postabsorption phase the relative error is only a function of the ratio (n) of the time interval over the half-life of the two plasma data points in the interval. The error from the linear trapezoidal rule method at n = 0.5 is about 1%. The error increases to 15.5% and 57.1% when n is increased to 2 and 4, respectively. It is recommended that for most absorption studies the linear trapezoidal method be used for prepeak and plateau plasma data and the logarithmic trapezoidal method for postpeak plasma data.
Potential causes for reported incomplete (usually 40-60%) and often highly variable (e.g., 11-79%) bioavailability of furosemide in humans were investigated. The drug was found to be fairly stable in gastric fluids and its hepatic first-pass elimination (HFPE) was estimated to be much less than 6% based on published i.v. data. The rat was used as the main model for extensive evaluation. About 4% (n = 4) of dose was recovered unchanged in the GI tract after i.v. injection while about 40% (n = 12) was recovered after a 120-fold (0.05-6 mg) dose range of oral administration. In another study 70% of the oral dose eventually disappearing (presumably due to absorption and first-pass elimination) from the GI tract was estimated to occur in just 20 min. These data indicate an unsaturable, incomplete, site-specific absorption as well as a lack of dissolution-rate-limited absorption at the doses studied. Based on plasma data, oral bioavailability in four rats was only 30%, and the HFPE much less than 10%. After oral administration, 61% of the dose was absorbed and/or metabolized in the GI recovery study. Thus, 20-30% of oral dose in rats must be metabolized in the GI wall during absorption. The metabolic activity of stomach (homogenate) from 5 rats was found to be much (e.g., 5-10.5-fold) greater than those of liver and small intestine. This was also confirmed in preliminary studies with 3 rabbits and 1 dog. Large intersubject variability in enzyme activity was found in rats and rabbits. The phenomenon of a presystemic first-pass effect was also substantiated by urinary excretion data of a metabolite. It is postulated that variable gastric and intestinal first-pass metabolism may be a major factor causing incomplete and irregular absorption of furosemide in humans.
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