By Therese Shelton

Mathematics, Southwestern University, Georgetown TX USA

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We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This simple activity can be used to introduce differential equations and it can be used to introduce the study of drugs in the body to students who know some differential equations.

This modeling scenario is one of a set of activities, each dealing with a different drug over time in the human body: (1) amount of aspirin absorbed, (2) concentration of caffeine eliminated, and (3) concentration of digoxin in two compartments of the body.

Two styles of the student version for aspirin absorption are provided: one with just the questions (1-130a-S-AspirinAbsorption), and a fuller style (1-130-S-AspirinAbsorption) with student learning outcomes and a small self-assessment.

The scenarios (1) - (3) can be used independently from one another or in the sequence indicated. The level of inquiry-oriented learning progresses through the sequence of activities.

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Researchers should cite this work as follows:

  • Therese Shelton (2018), "1-130-S-AspirinAbsorption," https://simiode.org/resources/4963.

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