## 1. Home

There are many uses for mathematics in the scientific world. In particular, we can use a mathematical model to predict and graph the amount of a drug, taken at regular time intervals, that remains in the human body.

For example, consider taking two pills of a drug every four hours. What happens to the amount of drug in your body after some period of time? Will the maximum amount of drug in the body continue to rise if the medication is taken regularly? Can we ensure that enough drug is present so that it will be effective but not toxic?

We will revisit these questions in the Introduction.

The Appendix contains optional material that is not required for the main section of this module. It covers the mathematics of exponential decay and its relation to half-life.

Here are some quick pointers for using this site:

- Any bold text is a link.
- You can use the menu bar above to return to this page, open the simulator, or open the simulator help page.
- You can navigate through this site by using the arrows at the bottom of each page, or by using the sidebar on the left. You can also track your progress in the sidebar as the current page is highlighted in red and italicized.
- You will need Adobe Flash Player 10 to use many of the components found in the module. If you do not have the latest version of Flash Player, you can download it for free here.
- Many interactive questions will appear throughout the text. These questions appear in boxes. Try to answer the question on your own, only revealing the answer after you have attempted an answer yourself.

This module was written by Gerda de Vries, Cole Zmurchok, and Drew Hanson, with help from Rachel Peredery. It was produced for CRYSTAL-Alberta, and was developed by using information from:

*Modeling the Dynamics of Life*, Frederick R. Adler. Brooks/Cole Publishing Company, 1998.

http://www1.appstate.edu/~marland/classes/biocalc/CMM_1.pdf