Relaxation Dynamics in Persistent Epithelial Tissues
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917573063344128 |
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| author | Li, Meng-Yuan Li, Yan-Wei |
| author_facet | Li, Meng-Yuan Li, Yan-Wei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13375 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relaxation Dynamics in Persistent Epithelial Tissues Li, Meng-Yuan Li, Yan-Wei Soft Condensed Matter 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. |
| title | Relaxation Dynamics in Persistent Epithelial Tissues |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2401.13375 |