Cell strain-stiffening drives cell breakout from embedded spheroids

Fuente: arXiv
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Autores principales: Ameen, Shabeeb, Kim, Kyungeun, Theeyancheri, Ligesh, Thanh, Minh, Wu, Mingming, Patteson, Alison E., Schwarz, J. M., Zhang, Tao
Formato: Preprint
Publicado: 2026
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author Ameen, Shabeeb
Kim, Kyungeun
Theeyancheri, Ligesh
Thanh, Minh
Wu, Mingming
Patteson, Alison E.
Schwarz, J. M.
Zhang, Tao
author_facet Ameen, Shabeeb
Kim, Kyungeun
Theeyancheri, Ligesh
Thanh, Minh
Wu, Mingming
Patteson, Alison E.
Schwarz, J. M.
Zhang, Tao
contents Understanding how cells escape from embedded spheroids requires a mechanical framework linking stress generation within cells, across cells, and between cells and the surrounding extracellular matrix (ECM). We develop such a framework by coupling a 3D vertex model of a spheroid to a fibrous ECM network and deriving a 3D Cauchy stress tensor for deformable polyhedral cells, enabling direct cell-level stress quantification in three dimensions. We analyze maximum shear stress in solid-like and fluid-like spheroids: solid-like spheroids exhibit broader stress distributions and radial stress gradients, while fluid-like spheroids show lower stresses with weak spatial organization. Cell shape anisotropy is not generically aligned with principal stress directions, indicating that morphology alone is an unreliable proxy for mechanical state. We further demonstrate strain stiffening at the single-cell level, where elongation produces nonlinear increases in maximum shear stress, allowing boundary cells in otherwise low-stress, fluid-like spheroids to transiently generate forces sufficient to remodel the matrix. To connect strain-induced stress amplification to invasion modes, we introduce an extended 3D vertex model with explicit, tunable cell-cell adhesion springs. In this minimal mechanical framework, single-cell breakout results from strain stiffening combined with reduced adhesion, whereas multi-cell streaming additionally requires anisotropic adhesion strengthened along the elongation axis and weakened orthogonally. Together, these results identify distinct mechanical pathways coupling cell strain, stress amplification, and adhesion organization to spheroid invasion.
format Preprint
id arxiv_https___arxiv_org_abs_2602_08737
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Cell strain-stiffening drives cell breakout from embedded spheroids
Ameen, Shabeeb
Kim, Kyungeun
Theeyancheri, Ligesh
Thanh, Minh
Wu, Mingming
Patteson, Alison E.
Schwarz, J. M.
Zhang, Tao
Biological Physics
Soft Condensed Matter
Understanding how cells escape from embedded spheroids requires a mechanical framework linking stress generation within cells, across cells, and between cells and the surrounding extracellular matrix (ECM). We develop such a framework by coupling a 3D vertex model of a spheroid to a fibrous ECM network and deriving a 3D Cauchy stress tensor for deformable polyhedral cells, enabling direct cell-level stress quantification in three dimensions. We analyze maximum shear stress in solid-like and fluid-like spheroids: solid-like spheroids exhibit broader stress distributions and radial stress gradients, while fluid-like spheroids show lower stresses with weak spatial organization. Cell shape anisotropy is not generically aligned with principal stress directions, indicating that morphology alone is an unreliable proxy for mechanical state. We further demonstrate strain stiffening at the single-cell level, where elongation produces nonlinear increases in maximum shear stress, allowing boundary cells in otherwise low-stress, fluid-like spheroids to transiently generate forces sufficient to remodel the matrix. To connect strain-induced stress amplification to invasion modes, we introduce an extended 3D vertex model with explicit, tunable cell-cell adhesion springs. In this minimal mechanical framework, single-cell breakout results from strain stiffening combined with reduced adhesion, whereas multi-cell streaming additionally requires anisotropic adhesion strengthened along the elongation axis and weakened orthogonally. Together, these results identify distinct mechanical pathways coupling cell strain, stress amplification, and adhesion organization to spheroid invasion.
title Cell strain-stiffening drives cell breakout from embedded spheroids
topic Biological Physics
Soft Condensed Matter
url https://arxiv.org/abs/2602.08737