Research Article

Mathematical Modeling of Melanoma Cell Migration with an Elastic Continuum Model for the Evaluation of the Influence of Tumor Necrosis Factor-Alpha on Migration

Figure 4

Deformation gradient of cell as a function of their position on the original layer in different time instants. Thick and thin lines indicate cells in compression and extension, respectively, except on , when the cells are in rest. On the beginning (left column), movement is dominated by deformation, causing extension on the cells near the border. After some time (right column), movement is dominated by proliferation, increasing compression on the layer as a whole. For this simulation, , μm2 h−1, and  h−1.
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