In: Advanced Math
(DRUG DOSAGE PROBLEM) A drug company wants to know how to calculate a suitable dose and time between doses to maintain a safe but effective concentration of a drug in the blood. To be simple for the users of the drug, only a fixed dose at regular time intervals is considered possible. Suggest a way to model the problem, determine the main issues involved, and work out a solution. The answer should be a formula or algorithm for computing the dose and time interval.
It is up to you to make the problem formulation precise, to determine what additional input data you might need, to make necessary reasonable assumptions and simplifications, and to decide how to organize your work in suitable subtasks. Hint: Do not mix all difficulties at the same time. First think just on a suitable model rather than trying to solve the problem. Only consider the most basic aspects first, and make appropriate simplifications. The model can be extended later if this is needed.