91 citations · 658 across the 28 of their papers we have counts for
3 papers · 1 filter
Dimension-dependent continuum limits in tissue mechanics
Matthew J Simpson, Pascal R Buenzli
Continuum descriptions of epithelial tissue mechanics can replace expensive individual-based simulations with tractable macroscopic models, yet the link between cell-scale forces a…
Mechanical cell interactions on curved interfaces
Pascal R. Buenzli, Shahak Kuba, Ryan J. Murphy +1
We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional s…
Discrete and continuous mathematical models of sharp-fronted collective cell migration and invasion
Matthew J Simpson, Keeley M Murphy, Scott W McCue +1
Mathematical models describing the spatial spreading and invasion of populations of biological cells are often developed in a continuum modelling framework using reaction-diffusion…