PHAR 7632 Homework #6 1999

Numerical Integration, Optimization, One Compartment IV Bolus Urine Data, and another Laplace Transform

DUE 27th April 1999

Question 4. Given the following data (Table 1) collected after a 500 mg IV bolus dose, calculate kel, ke, and km. If V = 43.6 L, calculate the renal clearance value.

Table 1
Time (hr) Urine Volume (ml) Drug Concentration in Urine (mg/L) Delta U t(midpoint) (hr) deltaU/deltaT (mg/hr) U (mg)
1 80 660 52.8 0.5 52.8 52.8
2 70 600 42.0 1.5 42.0 94.8
4 170 380 64.6 3 32.3 159.4
6 170 260 44.2 5 22.1 203.6
9 230 180 41.4 7.5 13.8 245.0
12 240 100 24.0 10.5 8.0 269.0
24 890 30 26.7 18 2.2 295.7
ChartObject S-L Rate of Excretion vs Time
kel 0.181 hr -1 -slope
Intercept 55.248 mg/hr ke*Dose
ke 0.110 hr -1
km 0.070 hr -1 kel - km
fe 0.612   ke/kel
V 43.6 L
CL r 4.82 L/hr ke * V
CL r 80.29 ml/min