3 papers
nlin.CG2026
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…
q-bio.PE2026
Continuum models describing probabilistic motion of tagged agents in exclusion processes
Michael J. Plank, Matthew J. Simpson
Lattice-based random walk models are widely used to study populations of migrating cells with motility bias and proliferation. Crowding is typically represented by volume exclusion…
nlin.CG2024
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…