One-dimensional viscoelastic cell motility models |
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Authors: | Zheltukhin Sergey Lui Roger |
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Institution: | Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA 01609, United States |
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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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Keywords: | Actin Myosin Viscoelastic models Moving boundary problems Traveling cell solutions |
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