Using techniques developed in first-semester calculus, students have an opportunity to model the concentration of pain medication in a patient's bloodstream, in order to determine a dosage regimen that maintains levels between the minimum effective concentration and the maximum tolerance concentration. The project calls on students to establish modeling assumptions, develop a basic model, implement the model in the context of various dosage patterns, interpret the results, and formulate a preliminary recommendation. The project then calls on students to check the validity of the model and subsequently refine the model (and their recommendations) under revised assumptions. This project has been tested in the classroom, and is suitable for high school or undergraduate students who have studied a semester of calculus.
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