Publications by authors named "Keeley M Murphy"
Article Synopsis
- - The text discusses the limitations of traditional continuum models using linear diffusion in accurately predicting sharp fronts in biological cell population spreading, motivating a shift towards nonlinear models.
- - A new approach is introduced that uses a stochastic discrete lattice-based model, where agents deposit extracellular material, influencing their mobility based on the density of this substrate.
- - The study develops a new partial differential equation (PDE) model from the discrete model that effectively replicates the behavior of cell populations, providing a biologically grounded method for understanding their growth and invasion patterns.
