Faculty Advisor

Lui, Roger Y

Abstract

This project attempts to model the length, velocity, and internal stress experienced by a crawling cell as it moves on a substrate. We assume the cell's viscoelastic properties can be described by a Maxwell element. Through balance equations, we develop a Moving Boundary Problem. We solve this MBP numerically, as well as analyze its traveling wave solution. We then change our model to assume that the cell's actin concentration satisfies a second MBP and discuss our future plans for solving this new, more complicated model.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2007

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

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