Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model.

IF 0.8 4区 数学 Q4 BIOLOGY
Alexander Nestor-Bergmann, Georgina Goddard, Sarah Woolner, Oliver E Jensen
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引用次数: 41

Abstract

Using a popular vertex-based model to describe a spatially disordered planar epithelial monolayer, we examine the relationship between cell shape and mechanical stress at the cell and tissue level. Deriving expressions for stress tensors starting from an energetic formulation of the model, we show that the principal axes of stress for an individual cell align with the principal axes of shape, and we determine the bulk effective tissue pressure when the monolayer is isotropic at the tissue level. Using simulations for a monolayer that is not under peripheral stress, we fit parameters of the model to experimental data for Xenopus embryonic tissue. The model predicts that mechanical interactions can generate mesoscopic patterns within the monolayer that exhibit long-range correlations in cell shape. The model also suggests that the orientation of mechanical and geometric cues for processes such as cell division are likely to be strongly correlated in real epithelia. Some limitations of the model in capturing geometric features of Xenopus epithelial cells are highlighted.

Abstract Image

Abstract Image

Abstract Image

使用基于顶点的模型在空间紊乱的上皮中与细胞形状和机械应力相关。
使用流行的基于顶点的模型来描述空间无序的平面上皮单层,我们在细胞和组织水平上研究了细胞形状与机械应力之间的关系。从模型的能量公式开始推导应力张量的表达式,我们表明单个细胞的应力主轴与形状的主轴对齐,并且我们确定了当单层在组织水平上各向同性时的体积有效组织压力。利用非外周应力的单层模拟,我们将模型参数与爪蟾胚胎组织的实验数据拟合。该模型预测,机械相互作用可以在单层内产生介观图案,并在细胞形状上表现出长期的相关性。该模型还表明,细胞分裂等过程的机械和几何线索的方向可能在真实上皮中密切相关。强调了该模型在捕获爪蟾上皮细胞几何特征方面的一些局限性。
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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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