title: A semi-stochastic cell-based formalism to model the dynamics of migration of cells in colonies.
abstract: We consider the movement and viability of individual cells in cell colonies. Cell movement is assumed to take place as a result of sensing the strain energy density as a mechanical stimulus. The model is based on tracking the displacement and viability of each individual cell in a cell colony. Several applications are shown, such as the dynamics of filling a gap within a fibroblast colony and the invasion of a cell colony. Though based on simple principles, the model is qualitatively validated by experiments on living fibroblasts on a flat substrate.
authors: Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands. F.J.Vermolen@tudelft.nl
authors: F J
authors: FJ
authors: Vermolen
authors: A
authors: A
authors: Gefen
mesh_terms: D002465:Cell Movement; D003114:Colony-Forming Units Assay; D003198:Computer Simulation; D005347:Fibroblasts / Q000166:cytology*; D020342:Finite Element Analysis; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D013269:Stochastic Processes; D013816:Thermodynamics; D013997:Time Factors; D014945:Wound Healing