论文标题
液压压力肿胀的薄弹性壳的主动波动的网络模型
Network Model of Active Fluctuations of Thin Elastic Shells Swollen by Hydrostatic Pressure
论文作者
论文摘要
许多生物都有一个弹性骨骼，该骨骼由封闭的上皮细胞的壳壳组成，上皮细胞中充满了液体，并且可以主动调节壳中的弹性力和内部的静水压力。在这项工作中，我们介绍了一个简单的网络模型，以这种压力稳定的活性弹性壳模型，其中交联由某些给定平衡长度和弹簧常数的非线性弹簧连接的材料点表示。我们通过更改随机选择的弹簧的参数并使用计算机模拟来研究系统中的主动收缩力，并研究网络的局部和全局变形动力学。我们通过计算相应的分布和相关函数来阐明这些变形的统计特性。我们表明，压力诱导的网络拉伸会引入其局部和全球行为之间的耦合：虽然网络反对每个激发弹簧的收缩，并影响其变形的幅度和放松时间，但随机局部激发会引起网络的收缩和表面积的波动。
Many organisms have an elastic skeleton that consists of a closed shell of epithelial cells that is filled with fluid, and can actively regulate both elastic forces in the shell and hydrostatic pressure inside it. In this work we introduce a simple network model of such pressure-stabilized active elastic shells in which cross-links are represented by material points connected by non-linear springs of some given equilibrium lengths and spring constants. We mimic active contractile forces in the system by changing the parameters of randomly chosen springs and use computer simulations to study the resulting local and global deformation dynamics of the network. We elucidate the statistical properties of these deformations by computing the corresponding distributions and correlation functions. We show that pressure-induced stretching of the network introduces coupling between its local and global behavior: while the network opposes the contraction of each excited spring and affects the amplitude and relaxation time of its deformation, random local excitations give rise to contraction of the network and to fluctuations of its surface area.
