Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4500476 | Mathematical Biosciences | 2011 | 11 Pages |
Abstract
In this paper we consider a class of one-dimensional cell motility models with increasing complexities beginning with a kinematic model and ending with a model based on viscoelastic theory. In many of these models, we establish the existence of traveling cell solutions and show numerically that the solutions of the time-dependent problem converge to the traveling cell solutions as t → ∞. As a result, we are able to predict the eventual length and speed of the cell.
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Authors
Sergey Zheltukhin, Roger Lui,