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arXiv 2102.11181cond-mat.softphysics.bio-ph
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上皮组织顶点模型的线性粘弹性

Linear Viscoelastic Properties of the Vertex Model for Epithelial Tissues

Sijie Tong, Navreeta K. Singh, Rastko Sknepnek, Andrej Kosmrlj

摘要:

上皮组织充当屏障,因此必须自我修复,对环境变化做出反应,并在不损害其完整性的情况下生长。因此,它们表现出复杂的粘弹性流变行为,其中组成细胞主动调节它们的机械特性以改变组织的整体响应,例如,从固态到液态上皮细胞的细观力学特性通常采用顶点模型来模拟。虽然以前的研究主要集中在长时间尺度上的顶点模型的流变特性,我们系统地研究了全动态范围,通过应用小振荡剪切和体积变形在两个固体和类流体相的规则六边形和无序的细胞配置。我们发现,在流体和固体相的剪切和体积响应可以描述标准的弹簧阻尼粘弹性模型。此外,可以通过对系统施加预变形来调谐固体-流体转变。我们的研究提供了深入了解上皮细胞可以调节其丰富的流变行为的机制。

英文摘要:

Epithelial tissues act as barriers and, therefore, must repair themselves, respond to environmental changes and grow without compromising their integrity. Consequently, they exhibit complex viscoelastic rheological behavior where constituent cells actively tune their mechanical properties to change the overall response of the tissue, e.g., from solid-like to fluid-like. Mesoscopic mechanical properties of epithelia are commonly modeled with the vertex model. While previous studies have predominantly focused on the rheological properties of the vertex model at long time scales, we systematically studied the full dynamic range by applying small oscillatory shear and bulk deformations in both solid-like and fluid-like phases for regular hexagonal and disordered cell configurations. We found that the shear and bulk responses in the fluid and solid phases can be described by standard spring-dashpot viscoelastic models. Furthermore, the solid-fluid transition can be tuned by applying pre-deformation to the system. Our study provides insights into the mechanisms by which epithelia can regulate their rich rheological behavior.

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