Multi-scale modeling of a wound-healing cell migration assay. (English) Zbl 1451.92063
Summary: A continuum model and a discrete model are developed to capture the population-scale and cell-scale behavior in a wound-healing cell migration assay created from a scrape wound in a confluent cell monolayer. During wound closure, the cell population forms a sustained traveling wave, with close contact between cells behind the wavefront. Cells exhibit contact inhibition of migration and contact-limited proliferation. The continuum model includes the two dominant mechanisms and characteristics of cell migration and proliferation, using a cell diffusivity function that decreases with cell density and a logistic proliferative growth term. The discrete model arises naturally from the continuum model. Individual cells are simulated as continuous-time random walkers with nearest-neighbor transitions, together with a birth/death process. The migration and proliferation parameters are determined by analysing individual mice 3T3 fibroblast cell trajectories obtained during the development of a confluent cell monolayer and in a wound healing assay. The population-scale model successfully predicts the shape and speed of the traveling wave, while the discrete model is also successful in capturing the contact inhibition of migration effects.
MSC:
| 92C17 | Cell movement (chemotaxis, etc.) |
| 92C32 | Pathology, pathophysiology |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
Keywords:
cell migration; contact inhibition of migration; proliferation; simulation; continuum and discrete modelsReferences:
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