Parker Amanda, Marchetti M Cristina, Manning M Lisa, Schwarz J M
Syracuse University, Department of Physics and BioInspired Syracuse, Syracuse, New York 13244, USA.
University of California at Santa Barbara, Department of Physics, Santa Barbara, California 93106, USA.
Phys Rev E. 2025 Apr;111(4-1):044410. doi: 10.1103/PhysRevE.111.044410.
Cellularized tissue and polymer networks can both transition from floppy to rigid as a function of their control parameters, and, yet, the two systems often mechanically interact, which could affect their respective rigidities. To study this interaction, we consider a vertex model with surface tension embedded in a spring network in two dimensions. We identify two regimes with different global spheroid shapes and governed by the pressure resulting from competition between surface tension and tension in the network. In the first regime, the tissue remains compact, while in the second, a cavitation-like instability leads to the emergence of gaps at the tissue-network interface. Intriguingly, compression of the tissue promotes fluidization, while tension promotes cellular alignment and rigidification with the mechanisms driving rigidification differing on either side of the instability.
细胞化组织和聚合物网络都可以根据其控制参数从柔软状态转变为刚性状态，然而，这两个系统经常发生机械相互作用，这可能会影响它们各自的刚性。为了研究这种相互作用，我们考虑一个二维弹簧网络中嵌入表面张力的顶点模型。我们识别出两种具有不同全局球体形状的状态，它们由表面张力和网络张力之间竞争产生的压力所控制。在第一种状态下，组织保持紧凑，而在第二种状态下，类似空化的不稳定性导致组织-网络界面出现间隙。有趣的是，组织的压缩促进流化，而张力促进细胞排列和刚性化，且在不稳定性两侧驱动刚性化的机制不同。
