This model is used to analyze the body's response to a bolus injection of this antibiotic:
B(t) = B0e(-k*t)
Using this model, and data provided for the average plasma concentration data in ug/ml with time in hours :
a) perform linear regression on this penicillin clearance using the normal equations
b) plot the concentration data and re-plot the log of the concentration data to show that it appears linear.
c) Determine initial concentration, B0, and elimination rate constant, k
|
Concentration (ug/ml)
|
Time (min)
|
|
89
|
22
|
|
60
|
44
|
|
30
|
88
|
|
15
|
132
|
|
7
|
176
|
a) for linear regression
ln( B ) = ln( B0 )- Kt
I'm not sure how to use the normal equations in MATLAB to plot this? We're not supposed to use polyfit function... I think you have to make a 2 column matrix with a column of 1's and a column of the time?