Zur entwicklungsmechanischen Analyse des einfachen prismatischen Epithels

Wetzel, Georg

doi:10.1007/bf02079029

Cited by 4 publications

(5 citation statements)

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“…S4). We additionally confirmed that the apical and basal surfaces of the V8 model and the salivary glands fulfilled, as expected, that ‫݊ۃ‬ ଶ ‫ۄ‬ ൎ 6 (Reinhardt, 1918;Wetzel, 1926) (Fig. S4).…”

Section: An Energetics Model Suggests That Cellular Connectivity Sati...supporting

confidence: 85%

“…Importantly, these studies have also revealed the validity of mathematical principles with biological consequences. One relevant example are the implications of Euler´s formula (Reinhardt, 1918;Wetzel, 1926) about cellular connectivity. This formula implies that polygonal cells in packed tissues, on average, have six neighbors (i.e., the average 2D cellular connectivity reads ‫݊ۃ‬ ଶ ‫ۄ‬ ൌ 6).…”

Section: Introductionmentioning

confidence: 99%

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A quantitative biophysical principle to explain the 3D cellular connectivity in curved epithelia

et al. 2022

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Section: An Energetics Model Suggests That Cellular Connectivity Sati...supporting

confidence: 85%

Section: Introductionmentioning

confidence: 99%

A quantitative biophysical principle to explain the 3D cellular connectivity in curved epithelia

et al. 2022

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“…3A) (Euler, 1767), to formally deduce that the average number of sides of the cells in a plane tessellation of convex polygons should be six (Reinhardt, 1918). Later, this conclusion was experimentally confirmed in epithelia by Wetzel (1926).…”

Section: A Historical Perspective On the 3d Epithelial Organizationmentioning

confidence: 72%

The complex three-dimensional organization of epithelial tissues

et al. 2021

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Understanding the cellular organization of tissues is key to developmental biology. In order to deal with this complex problem, researchers have taken advantage of reductionist approaches to reveal fundamental morphogenetic mechanisms and quantitative laws. For epithelia, their two-dimensional representation as polygonal tessellations has proved successful for understanding tissue organization. Yet, epithelial tissues bend and fold to shape organs in three dimensions. In this context, epithelial cells are too often simplified as prismatic blocks with a limited plasticity. However, there is increasing evidence that a realistic approach, even from a reductionist perspective, must include apico-basal intercalations (i.e. scutoidal cell shapes) for explaining epithelial organization convincingly. Here, we present an historical perspective about the tissue organization problem. Specifically, we analyze past and recent breakthroughs, and discuss how and why simplified, but realistic, in silico models require scutoidal features to address key morphogenetic events.

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“…This formula implies that cells in packed tissues have, on average, six neighbors (i.e., the average cellular connectivity on a surface reads 〈𝑛 !" 〉 = 6) (Reinhardt, 1918;Wetzel, 1926). This principle has biological consequences, for example, the degree of cellular connectivity regulates the strength of the cell-cell juxtracrine signaling (Guignard et al, 2020;Sharma et al, 2019;Tung et al, 2012).…”

Section: Introductionmentioning

confidence: 99%