Mechanics of tissue competition: Interfaces stabilize coexistence
Nirmalendu Ganai, Tobias Buscher, Gerhard Gompper, Jens Elgeti

TL;DR
This paper investigates how mechanical forces and interfacial effects influence tissue competition, revealing that small adhesion can enable coexistence despite differences in homeostatic pressure, supported by simulations and analytic models.
Contribution
It demonstrates that tissue coexistence can occur due to interfacial effects, challenging the idea that higher homeostatic pressure always dominates.
Findings
Weaker tissue can coexist with stronger tissue if adhesion is low.
Analytic models accurately predict pressures and cell fractions.
Simulations show diverse coexistence structures like inclusions and bicontinuous states.
Abstract
Mechanical forces influence the dynamics of growing tissues. Computer simulations are employed to study the importance of interfacial effects in tissue competition. It was speculated that mechanical pressure determines the competition, where the determining quantity is the homeostatic pressure - the pressure where division and apoptosis balance; the tissue with the higher homeostatic pressure overwhelms the other. Surprisingly, a weaker tissue can persist in stable coexistence with a stronger tissue, if adhesion between them is small enough. An analytic continuum description can quantitatively describe the underlying mechanism and reproduce the resulting pressures and cell-number fractions. Computer simulations furthermore display a variety of coexisting structures, ranging from spherical inclusions to a bicontinuous state.
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