Title page for E-project-042607-090715

Project Type MQP

Submission date 2007-04-26

Authors
Andrew A Port, MA
Jeremy Ristau, MA

URN E-project-042607-090715

Title A One-Dimensional Viscoelastic Cell Motility Model

Advisor
Lui, Roger Y, MA

Availability unrestricted

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.

Files
MQP_RYL-0506.pdf

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Project Type	MQP
Submission date	2007-04-26
Authors	Andrew A Port, MA Jeremy Ristau, MA
URN	E-project-042607-090715
Title	A One-Dimensional Viscoelastic Cell Motility Model
Advisor	Lui, Roger Y, MA
Availability	unrestricted
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.
Files	MQP_RYL-0506.pdf