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用于迁移上皮单层中取向相互作用和粘弹性的唯象多尺度框架

A phenomenological multiscale framework for orientational interactions and viscoelasticity in migrating epithelial monolayers

Ivana Pajic-Lijakovic, Milan Milivojevic, Peter V. E. McClintock

arXiv 2607.15975首次发表:更新:

AI 中文总结

该研究提出唯象力学生物学框架,连接细胞尺度取向相互作用与组织尺度力学,区分可逆和不可逆碰撞,通过能量存储与耗散平衡控制集体迁移等过程,还用量化方法揭示其与细胞密度关系,解释相关动力学与流变学联系。

AI 中文摘要

上皮单层的集体迁移源于机械相互作用和生化信号之间的相互作用。在此,我们提出了一个唯象的力学生物学框架,将细胞尺度的取向相互作用与组织尺度的力学联系起来。我们区分了可逆和不可逆的正面和掠射碰撞,表明可逆相互作用在保持碰撞几何形状的同时存储取向机械能,而不可逆相互作用耗散能量并改变细胞取向。能量存储和耗散之间的平衡控制着集体迁移、机械反馈以及包括细胞堵塞和活细胞挤出在内的密度依赖性过程。这些相互作用调节细胞弹性、收缩性和粘附性,从而改变上皮表面张力和单层的有效粘弹性响应。我们使用取向相互作用势、有效的第二维里系数以及存储和耗散的取向能量的无量纲度量来量化这些效应。这些机制的相对贡献随着细胞堆积密度的增加而增加,在堵塞转变附近变得占主导地位。这个框架提供了一种本构解释,将碰撞诱导的取向动力学与出现的上皮流变学联系起来,并表明密度依赖性相互作用机制如何塑造集体迁移和组织粘弹性。

英文摘要

Collective migration of epithelial monolayers emerges from the interplay between mechanical interactions and biochemical signalling. Here, we present a phenomenological mechanobiological framework linking cell-scale orientational interactions to tissue-scale mechanics. We distinguish reversible and irreversible head-on and glancing collisions, showing that reversible interactions store orientational mechanical energy while preserving collision geometry, whereas irreversible interactions dissipate energy and alter cell orientation. The balance between energy storage and dissipation governs collective migration, mechanical feedback, and density-dependent processes including cell jamming and live cell extrusion. These interactions regulate cell elasticity, contractility, and adhesion, thereby modifying epithelial surface tension and the effective viscoelastic response of the monolayer. We quantify these effects using orientational interaction potentials, an effective second virial coefficient, and dimensionless measures of stored and dissipated orientational energy. The relative contribution of these mechanisms increases with cell packing density, becoming dominant near the jamming transition. This framework provides a constitutive interpretation connecting collision-induced orientation dynamics with emergent epithelial rheology and suggests how density-dependent interaction regimes shape collective migration and tissue viscoelasticity.

Comments13743 Pages, 6 Figures, 2 Tables

Journal refBiosystems 2026, 267:105883

DOI:10.1016/j.biosystems.2026.105883

论文原文

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