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.
Rights
© 2015, Michael Richard Laughlin
Recommended Citation
Laughlin, M. R.(2015). A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System. (Master's thesis). Retrieved from https://scholarcommons.sc.edu/etd/3275