. A pharmaceutical company is trying to derive the right dose of a new antibiotic for toddlers. The medicine has to maintain a cumulative concentration of 100 mg in the system to remain effective. However, a concentration above 300 mg will cause serious side-effects and toxicity. If the antibiotics in the system decay at an exponential rate with a half-life of 4 hours, give one solution of dosage (amount and equally spaced time duration/day) to maintain the concentration at all times above 100 mg and below 300 mg. State your assumptions
Hi,
In the question it is mentioned that the antibiotic inside system disappear with a half life of 4 hours. Hence if we give the patient a bottle of antibiotic of 800 mg for 1 day and prescribe a first dose of 200 mg and 100 mg after every 4 hours will maintain the dosage in the range of 100-200 mg.
200 mg first dose - 200-100 mg in body in first 4 hours
+100 mg (2nd dose after 4 hour) - 100 in body + 100 given = 200 mg
It again reduces to 100 mg in next 4 hours and the dosage continues.
Like that 6 doses of 100 mg + initial 200 mg = 800 mg per day.
It can be continued for days.
Best Wishes.
. A pharmaceutical company is trying to derive the right dose of a new antibiotic for...
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