CORE Metadata, citation and similar papers at core.ac.uk Provided by Augustana College, Illinois: Augustana Digital Commons Augustana College Augustana Digital Commons Mathematics: Student Scholarship & Creative Mathematics Works Spring 2016 Using ODEs to Model Drug Concentrations within the Field of Pharmacokinetics Andrea McNally Augustana College, Rock Island Illinois Follow this and additional works at: http://digitalcommons.augustana.edu/mathstudent Part of the Applied Mathematics Commons Augustana Digital Commons Citation McNally, Andrea. "Using ODEs to Model Drug Concentrations within the Field of Pharmacokinetics" (2016). Mathematics: Student Scholarship & Creative Works. http://digitalcommons.augustana.edu/mathstudent/2 This Student Paper is brought to you for free and open access by the Mathematics at Augustana Digital Commons. It has been accepted for inclusion in Mathematics: Student Scholarship & Creative Works by an authorized administrator of Augustana Digital Commons. For more information, please contact
[email protected]. Andrea McNally MATH-478 4/4/16 In 2009, the Food and Drug Administration discovered that individuals taking over-the- counter pain medications containing acetaminophen were at risk of unintentional overdose because these patients would supplement the painkillers with other medications containing acetaminophen. This resulted in an increase in liver failures and death over the years. To combat this problem, the FDA decided to lower the dosage from 1000 mg to 650 mg every four hours, thus reducing this risk (U.S. Food and Drug Administration). The measures taken in this example demonstrate the concepts behind the field of Pharmacology. Pharmacology is known as the study of the uses, effects, and mode of action of drugs (“Definition of Pharmacology”).