Year: 2026
Type: preprint
Abstract: Continuum descriptions of epithelial tissue mechanics can replace expensive individual-based simulations with tractable macroscopic models, yet the link between cell-scale forces and tissue-scale transport remains poorly understood. We show that dimensionality controls this link: long-time mechanical relaxation rates reveal generalized porous-media-type nonlinear transport phenomena, $D(ρ)\proptoρ^γ$. Exponents in nonlinear diffusivities are fixed by microscopic mechanics and dimensionality, providing a novel physical mechanism for emergent macroscopic transport phenomena.
Source: arXiv (Cornell University)
Authors: Simpson, Matthew J, Buenzli, Pascal R
Institution: Queensland University of Technology
Subfield: Cell Biology
Domain: Life Sciences
Open Access status: green
OpenAlex ID: W7167799134
Cites:
Cited by:
Related to: