Monitoring Drug Concentration in Emergency Medicine

Authors

Andrew Woods, University of South Florida

Publication Year

2022

Abstract

The careful monitoring of a drug’s concentration in the body of a patient is of the utmost importance in modern medicine. Many of the lifesaving medications that are administered in an emergency medicine environment have a narrow window of efficacy. This effective concentration is in an ever-changing state, as the body processes and eliminates exogenous compounds that are introduced to maintain homeostasis. To ensure the proper treatment and/or management of ailments, special attention must be given to the concentration of a given drug in the body as time progresses. These changing concentrations can be evaluated and tracked using the mathematical tools that are taught in Calculus-themed courses.

In this paper, the steps required to accurately calculate the concentration of a given drug in a patient’s body will be examined. We will arrive at a formula that can reliably be used to determine this concentration at a point in time.

Recommended Citation

Woods, Andrew (2022) "Monitoring Drug Concentration in Emergency Medicine," Undergraduate Journal of Mathematical Modeling: One + Two: Vol. 12: Iss. 2, Article 8.
DOI: https://doi.org/10.5038/2326-3652.12.2.4950
Available at: https://digitalcommons.usf.edu/ujmm/vol12/iss2/8

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