Jared McBride

Jared McBride

I am a PhD candatite in the University of Arizona Aplied Math GIDP

Publications

Steady State Configurations of Cells Connected by Cadherin Sites

Published in BYU THESES AND DISSERTATIONS, 2016

Many cells employ cadherin complexes (c-sites) on the cell membrane to attach to neighboring cells, as well as integrin complexes (i-sites) to attach to a substrate in order to accomplish cell migration. This paper analyzes a model for the motion of a group of cells connected by c-sites. We begin with two cells connected by a single c-site and analyze the resultant motion of the system. We find that the system is irrotational. We present a result for reducing the number of c-sites in a system with c-sites between pairs of cells. This greatly simplifies the general system, and provides an exact solution for the motion of a system of two cells and several c-sites. Then a method for analyzing the general cell system is presented. This method involves 0-row-sum, symmetric matrices. A few results are presented as well as conjectures made that we feel will greatly simplify such analyses. The thesis concludes with the proposal of a framework for analyzing a dynamic cell system in which stochastic processes govern the attachment and detachment of c-sites.

Recommended citation: McBride, Jared Adam, "Steady State Configurations of Cells Connected by Cadherin Sites" (2016). Theses and Dissertations. 6023. https://scholarsarchive.byu.edu/etd/6023 https://scholarsarchive.byu.edu/etd/6023