Bell Samuel, Ackermann Joseph, Maitra Ananyo, Voituriez Raphael
Sorbonne Université, CNRS, Institut de Biologie Paris-Seine (IBPS), Laboratoire Jean Perrin (LJP), F-75005 Paris, France.
Sorbonne Université, Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, Université PSL, CNRS, Université Paris Cité, F-75005 Paris, France.
Phys Rev E. 2025 Feb;111(2):L023405. doi: 10.1103/PhysRevE.111.L023405.
Growing experimental evidence shows that cell monolayers can induce long-lived perturbations to their environment, akin to footprints, which in turn influence the global dynamics of the system. Inspired by these observations, we propose a comprehensive theoretical framework to describe systems where an active field dynamically interacts with a non-advected footprint field, deposited by the active field. We derive the corresponding general hydrodynamics for both polar and nematic fields. Our findings reveal that the dynamic coupling to a footprint field induces remarkable effects absent in classical active hydrodynamics, such as symmetry-dependent modifications to the isotropic-ordered transition, alterations in spontaneous flow transitions, and initial condition-dependent aging dynamics characterized by long-lived transient states. Our results suggest that footprint deposition could be a key mechanism determining the dynamical phases of cellular systems, or more generally active systems inducing long-lived perturbations to their environment.
越来越多的实验证据表明，细胞单层能够对其环境产生类似于足迹的长期扰动，进而影响系统的整体动力学。受这些观察结果的启发，我们提出了一个全面的理论框架来描述这样的系统：在该系统中，一个有源场与由有源场沉积的非平流足迹场动态相互作用。我们推导了极性场和向列场相应的一般流体动力学。我们的研究结果表明，与足迹场的动态耦合会引发经典有源流体动力学中不存在的显著效应，例如对各向同性 - 有序转变的对称性依赖修正、自发流动转变的改变，以及以长寿命瞬态为特征的初始条件依赖老化动力学。我们的结果表明，足迹沉积可能是决定细胞系统动力学相的关键机制，或者更普遍地说，是对其环境产生长期扰动的有源系统的关键机制。
