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arXiv · 2401.13375

Relaxation Dynamics in Persistent Epithelial Tissues

Meng-Yuan Li·Yan-Wei Li
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Abstract

Cell monolayers and epithelial tissues display slow dynamics during the liquid-glass transitions, a phenomenon with direct relevance to embryogenesis, tumor metastases, and wound healing. In active cells, persistent motion and cell deformation compete, significantly influencing relaxation dynamics. Here, we numerically construct the liquid-glass transition phase diagram for two-dimensional polydisperse persistent cells. We employ cage-relative measures and conduct extensive simulations to eliminate the influence of system size effects. These effects arise from long-wavelength fluctuations in nearly equilibrated cells and a combination of long-wavelength fluctuations and non-equilibrium effects in highly persistent cells. Our study unveils distinctive intermittent dynamics associated with intermittent T1 transitions in highly persistent cells, where the velocity correlates over space with a characteristic length $ξ$. The $α$ relaxation time exhibits a universal power-law dependence on the irreversible T1 transition rate, $Γ_{\rm{T1}}^{\rm irr}$, multiplied by ${\rm exp}(ξ)$. Here, $ξ$ vanishes in nearly equilibrated cells, and $Γ_{\rm{T1}}^{\rm irr}$ diminishes towards the mode-coupling glass transition point.

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Meng-Yuan Li, Yan-Wei Li. 2024-01-24. Relaxation Dynamics in Persistent Epithelial Tissues. https://arxiv.org/abs/2401.13375

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