BYU

Abstract by Samuel Cottam

Personal Infomation


Presenter's Name

Samuel Cottam

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

John Dallon
Emily Evans

Title

Mean Squared Displacement in the Analysis of Mathematical Cell Models

Abstract

Scientists often use mean squared displacement to analyze and quantify random processes. We apply this to models of random cell motion. Mathematicians have attempted to model this cell movement using a variety of models. If these cell models are random walks the mean squared displacement can be easily predicted using the expected location after one step and the variance of that location. We show how different cell models do and do not meet these requirements through an analysis of the mean squared displacement.