6. Malaria is a parasitic infection transmitted by mosquito bites. In the 1640\'
ID: 124168 • Letter: 6
Question
6. Malaria is a parasitic infection transmitted by mosquito bites. In the 1640's, the Jesuits in Peru introduced the bark of the cinchona tree to the West as the first treatment of Malaria. The drug quinine is the active ingredient in the bark, and it is still used today. Suppose a person is given a 50 mg dose of quinine at the same time everyday for the prevention of Malaria. After the first dose, the person has 50 mg of quinine in the body. What about after the second dose? The answer is: Each day, a person's body metabolizes some of the quinine so that, after one day 23% of the original amount remains. So, after the second dose, the amount of the quinine in the body is the amoumt of the second dose (50 mg) plus the remnants of the first dose; that is, 50+0.23 (50) 61.5 mg is in the body right after the 2d dose. Now, answer the following two questioas: a) Calculate the quantity, in mg, of quinine in the body right after the 10h dose. (Note: You nmst use a formmla to find your answer. Simply adding up numbers will give you less than ½ credit) b) Suppose 50 mg doses of quinine are taken forever (i.e., into an indefinite future). Find thelong-rm quantity of quinine in the body right after a dose is given.Explanation / Answer
a) As per the formula been noted in the above question , for the dose of quinine in the body after the 10th dose is as follows.
daily dose of quinine is 50mg .
10th dose of quinine is 500mg.(50 muliplied by 10).
After the first dose almost 23% of quinine remains in the body.
Therefore :- 50 +(0.23)500 = 165mg.
so after the 10th dose the qunatity of quinine in the body is 165mg.
b) As only 50mg of quinine is been taken for the long run right after a dose is given , then only 23% of the quinine remains in the body as only one dose is given for the long run propylaxis.
that means 50 + 0.23 = 50.23 mg will remain in the body .
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