2019
DOI: 10.1101/513119
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Buckling of epithelium growing under spherical confinement

Abstract: Many organs, such as the gut or the spine are formed through folding of an epithelium. Whereas genetic regulation of epithelium folding has been investigated extensively, the nature of the mechanical forces driving this process remain largely unknown. Here we show that monolayers of identical cells proliferating on the inner surface of elastic spherical shells can spontaneously fold. By measuring the elastic deformation of the shell we inferred the forces acting within the monolayer. Using analytical and numer… Show more

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Cited by 25 publications
(41 citation statements)
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“…Thus, the work transferred to the tissue via the cantilever displacement is equal to the sum of the variation of bending energy of the curl and stretching energy of the bulk (see details in Appendix 1). This allowed us to estimate a bending modulus of the tissue: B = (3.7 ± 0.4).10 −13 N.m, close to that predicted by the classical Kirchhoff-Love model of thin plate: B K L = (2.1 ± 0.2).10 −13 N.m and consistent with a recent estimate extracted from buckling of MDCK monolayers due to tissue-growth in long time-scale experiments (28).…”
Section: Characterisation Of Active Torques and The Bending Modulussupporting
confidence: 88%
“…Thus, the work transferred to the tissue via the cantilever displacement is equal to the sum of the variation of bending energy of the curl and stretching energy of the bulk (see details in Appendix 1). This allowed us to estimate a bending modulus of the tissue: B = (3.7 ± 0.4).10 −13 N.m, close to that predicted by the classical Kirchhoff-Love model of thin plate: B K L = (2.1 ± 0.2).10 −13 N.m and consistent with a recent estimate extracted from buckling of MDCK monolayers due to tissue-growth in long time-scale experiments (28).…”
Section: Characterisation Of Active Torques and The Bending Modulussupporting
confidence: 88%
“…S1 that ≈ and the equilibrium configuration of a single cell is ≈ √ 0 + , ℎ = 0 / . The stress-free state of the bud is one where the ECM volume exactly matches the equilibrium configuration of the monolayer, so that = √2 0 , so that for larger 0 , the epithelium will be in a tensile configuration, while being compressed for lower 0 , which can trigger monolayer buckling ( Figure S5A) (Trushko et al, 2019). Numerical simulations of the equilibrium configurations of the bud for different 0 and/or different confirmed this.…”
Section: Theoretical Modelingmentioning
confidence: 77%
“…Folding can also occur through compressive forces within epithelia 9 , forming buckled shapes predicted by mechanical models 10 and produced by several processes: proliferation under externally imposed confinement 11 , differences of proliferation between domains of the same tissue 12,13 , or active contractility of muscles around a growing intestinal epithelium 14 . Thus, mechanical stresses emerging in reaction to external constraints are determinant of epithelium folding.…”
Section: Figurementioning
confidence: 99%