Travelling Waves of Attached and Detached Cells in a Wound-Healing Cell Migration Assay |
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Authors: | Kerry A Landman Anna Q Cai Barry D Hughes |
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Institution: | (1) Department of Mathematics and Statistics, University of Melbourne, Victoria, 3010, Australia |
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Abstract: | During a wound-healing cell migration assay experiment, cells are observed to detach and undergo mitosis before reattaching
as a pair of cells on the substrate. During experiments with mice 3T3 fibroblasts, cell detachment can be confined to the
wavefront region or it can occur over the whole wave profile. A multi-species continuum approach to modelling a wound-healing
assay is taken to account for this phenomenon. The first cell population is composed of attached motile cells, while the second
population is composed of detached immotile cells undergoing mitosis and returning to the migrating population after successful
division. The first model describes cell division occurring only in the wavefront region, while a second model describes cell
division over the whole of the scrape wound. The first model reverts to the Fisher equation when the reattachment rate relative
to the detachment rate is large, while the second case does not revert to the Fisher equation in any limit. The models yield
travelling wave solutions. The minimum wave speed is slower than the minimum Fisher wave speed and its dependence on the cell
detachment and reattachment rate parameters is analysed. Approximate travelling wave profiles of the two cell populations
are determined asymptotically under certain parameter regimes. |
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Keywords: | Cell migration Diffusion Proliferation Wound healing Travelling wave Attached Detached |
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