Instabilities of monolayered epithelia: shape and structure of villi and crypts
arXiv:1203.2080 · doi:10.1103/PhysRevLett.107.078104
Abstract
We study theoretically the shapes of a dividing epithelial monolayer of cells lying on top of an elastic stroma. The negative tension created by cell division provokes a buckling instability at a finite wave vector leading to the formation of periodic arrays of villi and crypts. The instability is similar to the buckling of a metallic plate under compression. We use the results to rationalize the various structures of the intestinal lining observed \emph{in vivo}. Taking into account the coupling between cell division and local curvature, we obtain different patterns of villi and crypts, which could explain the different morphologies of the small intestine and the colon.
arXiv comment4 pages, 4 figures
References in corpus (3)
Cited by in corpus (28)
- Nonequilibrium Physics in Biology
- Collective Cell Mechanics of Small-Organoid Morphologies
- Mechanics of invagination and folding: hybridized instabilities when one soft tissue grows on another
- Mechanical Instabilities of Biological Tubes
- The Plateau-Rayleigh instability in solids is a simple phase separation
- Adhesion Induced Instabilities and Pattern Formation in Thin Films of Elastomers and Gels
- Quantifying material properties of cell monolayers by analyzing integer topological defects
- Finite wavelength surface-tension driven instabilities in soft solids, including instability in a cylindrical channel through an elastic solid
- Active nematic flows on curved surfaces
- Buckling without bending: a new paradigm in morphogenesis
- Perspectives on the mathematics of biological patterning and morphogenesis
- Morphogenesis of membrane invaginations in spherical confinement
- Nonlinear and Nonlocal Elasticity in Coarse-Grained Differential-Tension Models of Epithelia
- Post-buckling behaviour of a growing elastic rod
- Interplay between epidermal stem cell dynamics and dermal deformations
- Morphological instabilities of stratified epithelia: a mechanical instability in tumour formation
- Wrinkling instability in unsupported epithelial sheets
- Morphologies of compressed active epithelial monolayers
- An interplay of migratory and division forces as a generic mechanism for stem cell patterns
- Shape transitions in soft spheres regulated by elasticity
- Buckling without bending morphogenesis: Nonlinearities, spatial confinement, and branching hierarchies
- Statistical physics of active matter, cell division and cell aggregation
- Hydrodynamics of stratified epithelium: steady state and linearized dynamics
- Shape and size changes of adherent elastic epithelia
- Euler buckling on curved surfaces
- (Un)buckling mechanics of epithelial monolayers under compression
- Buckling by disordered growth
- Electrically Modulated Thin Film Dynamics Controlling Bubble Manipulation in Microfluidic Confinement