Date of Award

12-14-2015

Document Type

Open Access Thesis

Department

Mathematics

First Advisor

Yi Sun

Abstract

We explore the origins and implementation of the Kinetic Monte Carlo method on a system of cells suspended in a liquid media. The situation presented herein has applications in the emerging field of biofabrication, which may have lasting impacts in medical science. The theory behind the method is explained in detail, starting with its emergence in the 1960s, and two major improvements to the scaling of the method are presented, along with a restriction to a special case. Finally, we give the results of several simulations.

Included in

Mathematics Commons

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