Student Work

A One-Dimensional Viscoelastic Cell Motility Model

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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.

  • This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.
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Identifier
  • E-project-042607-090715
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Year
  • 2007
Date created
  • 2007-04-26
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Last modified
  • 2023-01-20

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Permanent link to this page: https://digital.wpi.edu/show/2j62s6653