## Tags: drug

### Modeling Scenarios (1-8 of 8)

1. 20 Aug 2018 | | Contributor(s):: Jue Wang

Hearing loss is difficult to treat due to the inner ear location and structure. Drawing from this challenging case, this scenario guides students to transform a treatment protocol into a mathematical model. Students engage in pre-clinical studies to examine local drug delivery to the cochlea. The...

2. 17 Aug 2018 | | Contributor(s):: Therese Shelton

We model the concentration of digoxin 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. This activity can be used to introduce compartmentalized...

3. 15 Aug 2018 | | Contributor(s):: Therese Shelton

We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a 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...

4. 15 Aug 2018 | | Contributor(s):: Therese Shelton

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...

5. 04 Sep 2017 | | Contributor(s):: Michael Grayling

Several models using first order differential equations are offered with some questions on formulating a differential equations model

6. 12 Oct 2016 | | Contributor(s):: Brian Winkel

Two possible multiple dose drug administration regimens are offered for modeling. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and the other involves steady drip flow over short periods of time....

7. 19 Sep 2015 | | Contributor(s):: Brian Winkel

8. 04 Jun 2015 | | Contributor(s):: Brian Winkel

We offer a problem of determining the necessary drug administration in order to keep a dogsedated with specific information on half-life for an exponentially decaying presence of the drug in the body.