Pharmacokinetic Models for Active Learning of Differential Equations
Document Type
Article
Publication Title
PRIMUS
Abstract
We present adaptable activities for models of drug movement in the human body–pharmacokinetics–that motivate the learning of ordinary differential equations with an interdisciplinary topic. Specifically, we model aspirin, caffeine, and digoxin. We discuss the pedagogy of guiding students to understand, develop, and analyze models, progressing in complexity to a system of differential equations. We investigate the effects of parameter values that distinguish various health levels, and dosing that may have toxic effects. Our assignments include modeling in a student-centered, active, and increasingly inquiry-oriented setting through which the mathematics and biology inform and reinforce each other. We include supplemental information regarding inquiry methods, student learning outcomes, a student’s commentary about our activities, and support through mathematical communities such as POGIL and SIMIODE.
First Page
742
Last Page
767
DOI
10.1080/10511970.2018.1484398
Publication Date
8-9-2019
Recommended Citation
Shelton, Therese; Laurent, Theresa; and Agyemang-Barimah, Beulah, "Pharmacokinetic Models for Active Learning of Differential Equations" (2019). Liberal Arts Faculty Publications. 98.
https://doi.org/10.1080/10511970.2018.1484398
https://collections.uhsp.edu/liberal-arts_pubs/98