Statistics of noisy growth with mechanical feedback in elastic tissues

Proceedings of the National Academy of Sciences of the United States of America
Ojan Khatib Damavandi, David K Lubensky

Abstract

Tissue growth is a fundamental aspect of development and is intrinsically noisy. Stochasticity has important implications for morphogenesis, precise control of organ size, and regulation of tissue composition and heterogeneity. However, the basic statistical properties of growing tissues, particularly when growth induces mechanical stresses that can in turn affect growth rates, have received little attention. Here, we study the noisy growth of elastic sheets subject to mechanical feedback. Considering both isotropic and anisotropic growth, we find that the density-density correlation function shows power law scaling. We also consider the dynamics of marked, neutral clones of cells. We find that the areas (but not the shapes) of two clones are always statistically independent, even when they are adjacent. For anisotropic growth, we show that clone size variance scales like the average area squared and that the mode amplitudes characterizing clone shape show a slow [Formula: see text] decay, where n is the mode index. This is in stark contrast to the isotropic case, where relative variations in clone size and shape vanish at long times. The high variability in clone statistics observed in anisotropic growth is due to the presence...Continue Reading

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Citations

Jan 25, 2019·Proceedings of the National Academy of Sciences of the United States of America·Antoine Fruleux, Arezki Boudaoud
Oct 19, 2019·Médecine sciences : M/S·Antoine Fruleux, Arezki Boudaoud

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