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1-131-CaffeineElimination-ModelingScenario

Author(s): Beulah Agyemang-Barimah, Theresa Laurent, Therese Shelton

Keywords: caffeine elimination pharmacokinetics drug

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Abstract

Resource Image We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn

Description

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.

Typically when a drug is administered to an individual, the concentration of the drug C(t) in the body changes over time.

The drug is gradually eliminated from the body. The concentration is amount per unit volume. Although this can be a very complicated process, we will apply a very simple model.

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Authors

Author(s): Beulah Agyemang-Barimah, Theresa Laurent, Therese Shelton

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