I am looking to answer question 2, however it requires the answer from question

Question

I am looking to answer question 2, however it requires the answer from question 1 to solve. Question 1 is included below and the answers are: 1a: Ceq = -be^rT 1b: Ceq = -445.11 mg.

For the same drug and patient as in question 1, the physician realizes that your ceq value is too high. In fact, a concentration of 300 mg is sufficient. (a) If we still apply a dose of b 200 mg, what would be an appropriate time T (in hours) in between doses to achieve ceg 300 mg? Give your answer to one decimal place, or to the nearest minute. (b) n between each dose the concentration will drop by a factor of a e-T, before being topped up by the new dose and returning to ceg. In addition to cea 300 mg, the physician does not want the concentration to ever fall below 200 mg. Using the value of T you just derived, does the regimen in part (a) meet the physician's requirements? If not, in words what might be a way to meet these requirements?

Explanation / Answer

a)

According to the equation Ceq = -b * e^rT,

300 = -200 * 10^0.2*T

T =2.027 hours or slightly more than 120 minutes

b)                                     

The decay factor is a = e^ (-0.2*2.02) = 0.667 times of the concentration will drop before the new dosage is introduced

So, 300*0.667 = 200.1mg

In about 2 hours, the concentration will get reduced to nearly 100mg (300-200.1). This will be below 200mg which is not desired by the physician.

Therefore, the regimen given here seems to be not meeting the physician’s requirements. The dosage or initial concentration of the drug should be increased in such a way that the decay of drug after reaching Ceq will not be less than 200mg for every 2 hours.

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