Undulation Instability of Epithelial Tissues
Markus Basan, Jean-Francois Joanny, Jacques Prost, and Thomas Risler

TL;DR
This paper models epithelial tissue as an incompressible fluid and discovers a hydrodynamic instability that causes epithelial protrusions into the stroma, offering insights into tissue undulation and cancer invasion mechanisms.
Contribution
It introduces a novel hydrodynamic instability model explaining epithelial protrusions and tissue undulation, linking physical properties to biological phenomena.
Findings
Identifies a hydrodynamic instability causing epithelial protrusions
Links tissue properties like viscosity and cell division rate to instability onset
Suggests a physical mechanism for tissue dysplasia and cancer invasion
Abstract
Treating the epithelium as an incompressible fluid adjacent to a viscoelastic stroma, we find a novel hydrodynamic instability that leads to the formation of protrusions of the epithelium into the stroma. This instability is a candidate for epithelial fingering observed in vivo. It occurs for sufficiently large viscosity, cell-division rate and thickness of the dividing region in the epithelium. Our work provides physical insight into a potential mechanism by which interfaces between epithelia and stromas undulate, and potentially by which tissue dysplasia leads to cancerous invasion.
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