English

Confinement-Induced Symmetry Breaking of Active Surfaces

Soft Condensed Matter 2026-02-26 v1 Mathematical Physics math.MP

Abstract

The actomyosin cortex, a thin layer of a cross-linked polymer network near the cell surface, generates active forces that are responsible for cell shape changes. Many developmental processes that involve such cell shape changes, most prominently embryonic cell division, are spatially confined by eggshells. To investigate the potential role of confinement in redirecting active stresses and enabling symmetry breaking phenomena during cell shape transformations, we study a hydrodynamic minimal model in which the cell cortex is represented as an active fluid surface that undergoes symmetric division in the absence of confinement. When enclosed by an ellipsoidal shell, a spontaneous symmetry-breaking transition emerges at a critical degree of confinement, where symmetrically dividing surfaces become unstable and polarized geometries appear. We show that this transition is controlled by the tightness of the confinement and analyze the solution space of stationary surfaces to identify the mechanisms underlying confinement-induced symmetry breaking.

Keywords

Cite

@article{arxiv.2602.21519,
  title  = {Confinement-Induced Symmetry Breaking of Active Surfaces},
  author = {Da Gao and Alexander Mietke and Rui Ma},
  journal= {arXiv preprint arXiv:2602.21519},
  year   = {2026}
}

Comments

20 pages,10 figures