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    Body's response to a bolus injection of antibiotic

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    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?

    See attached file for full problem description.

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    https://brainmass.com/computer-science/matlab/bodys-response-bolus-injection-antibiotic-49817

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    Please see the attached file.

    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 ...

    Solution Summary

    The solution provides a detailed and step-by-step explanation (incl. graphs from MATLAB) for the problem.

    $2.19

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