Stability and roughness of interfaces in mechanically regulated tissues
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Cell division and death can be regulated by the mechanical forces within a tissue. We study the consequences for the stability and roughness of a propagating interface by analyzing a model of mechanically regulated tissue growth in the regime of small driving forces. For an interface driven by homeostatic pressure imbalance or leader-cell motility, long and intermediate-wavelength instabilities arise, depending, respectively, on an effective viscosity of cell number change, and on substrate friction. A further mechanism depends on the strength of directed motility forces acting in the bulk. We analyze the fluctuations of a stable interface subjected to cell-level stochasticity, and find that mechanical feedback can help preserve reproducibility at the tissue scale. Our results elucidate mechanisms that could be important for orderly interface motion in developing tissues.
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Journal Physical Review Letters
Volume 121
Issue number 23
Pages 238102
Available online
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Publisher website (DOI) 10.1103/PhysRevLett.121.238102
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Europe PubMed Central 30576196
Pubmed 30576196
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