Estimate One Compartment Parameters
IV Bolus - Linear One Compartment
A dose of 250 mg was administered to a healthy volunteer. Seven blood samples were collected at 1, 2, 3, 4, 6, 10, and 12 hours. Plasma was separated from each blood sample and analyzed for drug concentration. The collected data are shown in the table below.
Time (hr)
|
Cp (mg/L)
|
1 |
3.85 |
2 |
2.97 |
3 |
2.35 |
4 |
1.71 |
6 |
0.99 |
10 |
0.33 |
12 |
0.19 |
The table above provides a set of data for you to analyze. Using these data you should be able to estimate the apparent volume of distribution for the drug and the elimination rate constant. First graph the data on semi-log graph paper or using a spreadsheet program. Put a straight line thorugh the data. A best fit line. Don't try to put the line through any particular point but through all the data. The best fit line may not go through any of the points. Using graph paper a clear ruler helps as you can see the points above and below the line to get a good balance. Draw the line. The spreadsheet program will do this for you if you choose an exponential fit and show the equation. Estimate the intercept on the left and right extremes of the line. The intercept on the left on the y-axis is Cp(0) with units of mg/L.
Your objective is to estimate kel, V, t1/2 and Clearance.
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Some Equations:
Rearranging this equation gives an equation for V. The apparent volume of distribution can be estimated from the equation:
Next we can calculate the kel (the elimination rate constant) from the -slope (using the natural log, ln, version) as:
And t1/2 and total body clearance (CL)
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