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The stability of the boundary between regenerating tissues is essential tothe maintenance of their integrity and biological function. Stress is known toplay an important role in the regulation of cell division, cell growth and celldeath, and it is thought that stress balance ensures the stability of tissueboundaries. Using a multicellular numerical model, we investigate the stabilityof the frontier between two confluent cell monolayers whose cell renewal ismechanically regulated. We show that even for two tissues having similarmechanical and biological properties, the location of their common frontier issubject to strong fluctuations until the complete disappearance of one of thetissues. Using a population dynamics model, we show that this temporalinstability is inherent to the stochasticity of cell division and cell deathevents, and derive an analytical expression for the mean disappearance time ofa tissue. These results call for a rethinking of the regulating mechanism oftissue renewal.

Temporal instability of the frontier between mechanically regulated tissues