Lui, Roger Y
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.
Worcester Polytechnic Institute
Major Qualifying Project
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