PHAR 7632 Homework #6 1999

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

DUE 27th April 1999

Question 1. Use the three .BAT files Ch9904NI0.BAT (Runge-Kutta), Ch9904NI2.BAT (RKF45), and Ch9904NI4.BAT (Gear) (Macintosh versions) or Ch9904PC0.BAT (Runge-Kutta), Ch9904PC2.BAT (RKF45), and Ch9904PC4.BAT (Gear) (Windows versions) with Boomer to explore the effect of changing the value of ka on the time it takes to simulate a model using three different numerical integration methods.

If you use the links below make sure you save the page as TEXT with the .BAT extension.

For each numerical method simulate answers using ka equal to 1, 10, 100, or 1000 hr-1. Keep all the other parameters the same. You wil need to edit the .BAT file to change the ka value. Use a text editor if possible. Record your results, either a time for simulation or no answer/error result in tabular form. A slower machine is probably more instructive. Use the same machine for all your runs.

As an answer turn in your table of results and three (only) printouts, one from each numerical integration method.

Answer

Question 2. Given that: IV Bolus Dose = 250 mg, ke = 0.087 hr-1, km = 0.021 hr-1, kmu = 0.65 hr-1 calculate cumulative amount excreted as unchanged drug in urine at 0, 2, 4, 6, 9, 12, and 24 hours. Plot your results on linear and semi-log graph paper.

Answer

Question 3. Round the numbers you calculated in Question 2 to two digits. For example, take 2.3456 as 2.3 or 0.3456 as 0.35. Now use a nonlinear regression program (Boomer, SAAM II, etc.) to fit these data using two different fitting algorithms. Turn in the two printouts which include final parameter values and a graph of observed and calculated data versus time.

Answer

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)
1 80 660
2 70 600
4 170 380
6 170 260
9 230 180
12 240 100
24 890 30

Answer

Question 5. Given the PK model below, derive the integrated equation for Mu1.

The Model:

If the full model doesn't print click here

Answer