Boundary-shape driven transitions in vortex and oscillatory dynamics of confined epithelial cells

Fuente: arXiv
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Main Authors: Ienaga, Ryo, Shigeta, Kazuyuki, Fukuyama, Tatsuya, Beppu, Kazusa, Maeda, Yusuke T.
Format: Preprint
Published: 2025
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author Ienaga, Ryo
Shigeta, Kazuyuki
Fukuyama, Tatsuya
Beppu, Kazusa
Maeda, Yusuke T.
author_facet Ienaga, Ryo
Shigeta, Kazuyuki
Fukuyama, Tatsuya
Beppu, Kazusa
Maeda, Yusuke T.
contents Controlling the collective motion of epithelial cell populations is fundamental for understanding multicellular self-organization and for advancing tissue engineering. Under spatial confinement, cells are known to exhibit either vortex rotation or oscillatory motion depending on boundary geometry, but the mechanisms governing transitions between these states remain unclear. Here, we investigated the collective motion of MDCK cells confined within a doublet circular boundary, where the confinement aspect ratio, defined as the distance between the centers of two circles relative to their radius, can be tuned by varying the degree of overlap. When the overlap is large, cells form a stable vortex. Increasing the confinement aspect ratio destabilizes this vortex and induces oscillatory motion characterized by periodic reversals of migration direction, before ultimately transitioning into disordered dynamics. To elucidate the underlying mechanism, we developed simulations of self-propelled particles incorporating local alignment (LA) and contact inhibition of locomotion (CIL). The model successfully reproduced the experimentally observed transitions from vortices to oscillatory motion and further revealed that an appropriate balance between LA and CIL is critical for stabilizing vortex pairs with velocity reversals. Our findings demonstrate that the confinement aspect ratio serves as a minimal control parameter governing transitions in the collective dynamics of epithelial monolayers.
format Preprint
id arxiv_https___arxiv_org_abs_2509_06087
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Boundary-shape driven transitions in vortex and oscillatory dynamics of confined epithelial cells
Ienaga, Ryo
Shigeta, Kazuyuki
Fukuyama, Tatsuya
Beppu, Kazusa
Maeda, Yusuke T.
Soft Condensed Matter
Biological Physics
Controlling the collective motion of epithelial cell populations is fundamental for understanding multicellular self-organization and for advancing tissue engineering. Under spatial confinement, cells are known to exhibit either vortex rotation or oscillatory motion depending on boundary geometry, but the mechanisms governing transitions between these states remain unclear. Here, we investigated the collective motion of MDCK cells confined within a doublet circular boundary, where the confinement aspect ratio, defined as the distance between the centers of two circles relative to their radius, can be tuned by varying the degree of overlap. When the overlap is large, cells form a stable vortex. Increasing the confinement aspect ratio destabilizes this vortex and induces oscillatory motion characterized by periodic reversals of migration direction, before ultimately transitioning into disordered dynamics. To elucidate the underlying mechanism, we developed simulations of self-propelled particles incorporating local alignment (LA) and contact inhibition of locomotion (CIL). The model successfully reproduced the experimentally observed transitions from vortices to oscillatory motion and further revealed that an appropriate balance between LA and CIL is critical for stabilizing vortex pairs with velocity reversals. Our findings demonstrate that the confinement aspect ratio serves as a minimal control parameter governing transitions in the collective dynamics of epithelial monolayers.
title Boundary-shape driven transitions in vortex and oscillatory dynamics of confined epithelial cells
topic Soft Condensed Matter
Biological Physics
url https://arxiv.org/abs/2509.06087