BYU

Abstract by Mary Ellen Rosen

Personal Infomation


Presenter's Name

Mary Ellen Rosen

Degree Level

Doctorate

Co-Authors

John Dallon

Abstract Infomation


Department

Mathematics

Faculty Advisor

John Dallon

Title

Mathematical Model of Amoeboid Cell Motion

Abstract

Understanding cell motion has many applications. For example, targeted enhanced cell motion could speed up wound healing whereas targeted inhibited cell motion could slow down the spread of cancer. We examine a model for amoeboid cell motion. The model has a cell nucleus with adhesion sites attached to the substrate that exert a force on the nucleus according to Hooke’s Law. It also takes into account the drag on the nucleus as the cell moves. Adhesion sites detach and immediately reattach. Selection of which site detaches is a random process. Duration of attachment is a function of force. Simulations of the model seem to indicate a threshold of drastic change in cell speed.