AI summary · arXiv: 2002.03961v2 · cond-mat.soft

Shape and size changes of adherent elastic epithelia

Benjamin Loewe, Francesco Serafin, Suraj Shankar, Mark J. Bowick, M. Cristina Marchetti

Original paper · DOI Submitted to arXiv on 10 Feb. 2020 Soft Matter, 16, 5282-5293, 2020 12 pages, 8 figures (including Appendix), published version including more calculations without changing results License: NONEXCLUSIVE-DISTRIB 1.0

The essentials

  • Epithelial tissues play a crucial role in developmental processes and early embryogenesis
  • They possess distinct characteristics that set them apart from conventional thin elastic plates
  • These characteristics include apical-basal polarity, spatial variability of cellular thickness, and their nonequilibrium active nature
  • The authors have developed a minimal continuum model to better understand the mechanics of epithelial tissues
  • The model describes the tissue in three dimensions and derives an effective two-dimensional model that captures both apical-basal asymmetry and spatial geometry through the curvature of the apical surface
  • Variations in active stresses across the apical-basal axis can drive curvature transitions
  • Four sources of activity are identified: bulk active stresses from actomyosin contractility and growth, as well as boundary active tensions from localized actomyosin cables and lamellipodial activity
  • These competing forces generate various states within the morphospace of a planar epithelium
  • The treatment unifies three-dimensional shape deformations by considering changes in apical curvature and in-plane expansion/contraction of substrate-adhered tissues
  • The results have implications for biologically relevant processes such as tissue folding during lumen formation
  • The study presents a comprehensive model for understanding the mechanics of epithelial tissues
  • By incorporating unique characteristics into an active elastic material framework, it sheds light on how these tissues undergo shape changes during development
  • It provides insights into important biological processes related to form and function.

Key points written by AI: they may contain errors, check them against the paper.

AI-generated keywords: Epithelial Tissues Developmental Processes Apical-Basal Polarity Active Nature Morphospace

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  • Original abstract
Epithelial tissues play a crucial role in various developmental processes and early embryogenesis. While these tissues are often modeled as two-dimensional elastic surfaces, they possess distinct characteristics that set them apart from conventional thin elastic plates. These include the presence of apical-basal polarity, spatial variability of cellular thickness, and their nonequilibrium active nature. To better understand the mechanics of epithelial tissues, the authors of this study have developed a minimal continuum model that incorporates these unique features. They begin by describing the tissue in three dimensions and then derive an effective two-dimensional model that captures both the apical-basal asymmetry and spatial geometry through the curvature of the apical surface. One key finding is that variations in active stresses across the apical-basal axis can drive curvature transitions. The authors identify four distinct sources of activity: bulk active stresses resulting from actomyosin contractility and growth, as well as boundary active tensions due to localized actomyosin cables and lamellipodial activity. These competing forces generate various states within the morphospace of a planar epithelium. Importantly, this treatment unifies three-dimensional shape deformations by considering both changes in apical curvature and in-plane expansion/contraction of substrate-adhered tissues. The results have implications for biologically relevant processes such as tissue folding during lumen formation. In conclusion, this study presents a comprehensive model for understanding the mechanics of epithelial tissues. By incorporating their unique characteristics into an active elastic material framework, the authors shed light on how these tissues undergo shape changes during development and provide insights into important biological processes related to form and function.

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