Mathematical Modeling of a Disease Detection Assay

Shannon Murphy, Dr. Tomas Gedeon, Dr. Stephanie McCalla, Deparment of Mathematical Sciences, Montana State University, Bozeman, MT, 59717

Disease detection is greatly aided by detection of biomarkers specific to that disease. In the past decade a new
class of biomarkers has been discovered. These microRNA (miRNA) are RNA molecules that consist of only about
22 nucleotides. Because of their small size and very low concentration in the bloodstream, it is necessary to first
amplify it, i.e make a large number of copies. A new amplification method called UDAR was created to detect
these biomarkers, and it is necessary to create a mathematical model of the reaction to quantify the process and 
understand what levels correlate with the presence of a biomarker. Through the composition of a system of
differential equations and the use of Matlab, reaction rates are being fit to experimental data.

Additional Abstract Information

Presenter: Shannon Murphy

Institution: Montana State University Bozeman

Type: Poster

Subject: Mathematics

Status: Approved

Time and Location

Session: Poster 8
Date/Time: Tue 5:00pm-6:00pm
Session Number: 5566