Elimination rate constants

In addition to the elimination rate constant, the half-life (T/i) another important parameter that characterizes the time-course of chemical compounds in the body. The elimination half-life (t-1/2) is the time to reduce the concentration of a chemical in plasma to half of its original level. The relationship of half-life to the elimination rate constant is ti/2 = 0.693/ki,i and, therefore, the half-life of a chemical compound can be determined after the determination of k j from the slope of the line. The half-life can also be determined through visual inspection from the log C versus time plot (Fig. 5.40). For compounds that are eliminated through first-order kinetics, the time required for the plasma concentration to be decreased by one half is constant. It is impottant to understand that the half-life of chemicals that are eliminated by first-order kinetics is independent of dose. ... 

Pharmacokinetics. Figure 1 Main pharmacokinetic processes and parameters Half-life (T1/2), volume (Vd), elimination rate constant (Ke), and clearance (Cl). 

In a study of pregnant rats that were exposed to radiolabeled methyl parathion by single dermal application, half-life elimination rate constants for various tissues ranged from 0.04 to 0.07 hour, highest values noted in plasma, kidneys, and fetus. Of the applied radioactivity, 14% was recovered in the urine in the first hour postapplication. By the end of the 96-hour study, 91% of the applied dose had been recovered in the urine. Fecal excretion accounted for only 3% of the administered dose (Abu-Qare et al. 2000). 

The area under the PCP concentration-time curve (AUC) from the time of antibody administration to the last measured concentration (Cn) was determined by the trapezoidal rule. The remaining area from Cn to time infinity was calculated by dividing Cn by the terminal elimination rate constant. By using dose, AUC, and the terminal elimination rate constant, we were able to calculate the terminal elimination half-life, systemic clearance, and the volume of distribution. Renal clearance was determined from the total amount of PCP appearing in the urine, divided by AUC. Unbound clearances were calculated based on unbound concentrations of PCP. The control values are from studies performed in our laboratory on dogs administered similar radioactive doses (i.e., 2.4 to 6.5 pg of PCP) (Woodworth et al., in press). Only one of the dogs (dog C) was used in both studies. 

The data used are given in Table I. The elimination rate constants included were determined at 20° C. (5). The toxicity to mosquito larvae, given as median lethal dosages (concentration in parts per million of water required to cause 50% mortality in 48 hours), was estimated from the data of Deonier et al. (9) and is probably reproducible to within 30%. 

Thus, the overall elimination rate constant (ke[) here is the sum of the urinary excretion rate constant (ke) and the metabolism rate constant (km) ... 

Db = drug in the body De = eliminated drug ka = first-order absorption rate constant kei = overall elimination rate constant... 

Thus after 6 hours the semilog plot of Cp versus time shown in Fig. 10 becomes a straight line and kei can be determined from the slope. Therefore, the overall elimination rate constant for a drug may be accurately determined from the tail of a semilog plot of plasma concentration versus time following extravascular administration if ka is at least five times larger than kei. 

Example. A tablet containing 100 mg of a drug was administered to a healthy volunteer and the plasma concentration (Cp) versus time data shown in Table 6 were obtained. Figure 11 shows a semi-log plot of these Cp versus time data. The half-life for elimination of the drug can be estimated from the straight line tail of the plot to be 4.7 hours. The overall elimination rate constant is then... 

Other applications of the previously described optimization techniques are beginning to appear regularly in the pharmaceutical literature. A literature search in Chemical Abstracts on process optimization in pharmaceuticals yielded 17 articles in the 1990-1993 time-frame. An additional 18 articles were found between 1985 and 1990 for the same narrow subject. This simple literature search indicates a resurgence in the use of optimization techniques in the pharmaceutical industry. In addition, these same techniques have been applied not only to the physical properties of a tablet formulation, but also to the biological properties and the in-vivo performance of the product [30,31]. In addition to the usual tablet properties the authors studied the following pharmacokinetic parameters (a) time of the peak plasma concentration, (b) lag time, (c) absorption rate constant, and (d) elimination rate constant. The graphs in Fig. 15 show that for the drug hydrochlorothiazide, the time of the plasma peak and the absorption rate constant could, indeed, be... 

Elimination rate constant in fish Aelimination fish day-1 N2(—4.79,1.42)... 

---