Medical Math Question About Alcoholism

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Please answer the attached question and show your work!

Medical Math Question About Alcoholism
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Dr_MurpheyPhD
School: UC Berkeley

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Question 1
OD is a 50-year-old, 80 kg male. He admits to a social history of 3-5 alcoholic drinks per day.
Using appropriate Michaelis-Menten values in the table below, compute the phenytoin dose that
would achieve Css=15mg/l. How does it compare to a patient that doesn’t drink alcohol?
Km of patients who don’t consume alcohol was 16.1 mg/l
Km of patients who consume alcohol was 23.6 mg/l
Vmax of patients who don’t consume alcohol was 649mg/d
Vmax of patients who consume alcohol was 260 mg/day
Solution
Css x Vmax

D = 𝑆(𝐾𝑚+𝐶𝑠𝑠)
Where:
D = dose
Css = phenytoin concentration is plasma (mg/l)
Vmax = maximum rate of metabolism in mg/day
S = fraction of phenytoin salt form that is active phenytoin which i...

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