Title

Numerical simulation of cell movement

Date of Completion

January 2008

Keywords

Mathematics

Degree

Ph.D.

Abstract

We first study a one-dimensional motility model for nematode sperm cells. Next we extend our study to cover the two-dimensional case. In both cases, such models lead to moving boundary problems (MBP). Moving mesh finite element algorithms are implemented. Our numerical simulations show that as time evolves, the cells converge to a definite shape traveling at a constant speed. ^