Feng Jingchen, Levine Herbert, Mao Xiaoming, Sander Leonard M
Bioengineering Department and Center for Theoretical Biological Physics, Rice University, Houston, Texas 77251-1892, USA.
Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):042710. doi: 10.1103/PhysRevE.91.042710. Epub 2015 Apr 15.
We present a Landau-type theory for the nonlinear elasticity of biopolymer gels with a part of the order parameter describing induced nematic order of fibers in the gel. We attribute the nonlinear elastic behavior of these materials to fiber alignment induced by strain. We suggest an application to contact guidance of cell motility in tissue. We compare our theory to simulation of a disordered lattice model for biopolymers. We treat homogeneous deformations such as simple shear, hydrostatic expansion, and simple extension, and obtain good agreement between theory and simulation. We also consider a localized perturbation which is a simple model for a contracting cell in a medium.
我们提出了一种用于生物聚合物凝胶非线性弹性的朗道型理论，其中部分序参量描述了凝胶中纤维的诱导向列相序。我们将这些材料的非线性弹性行为归因于应变引起的纤维排列。我们建议将其应用于组织中细胞运动的接触导向。我们将我们的理论与生物聚合物无序晶格模型的模拟进行了比较。我们处理了均匀变形，如简单剪切、静水膨胀和简单拉伸，并在理论和模拟之间取得了良好的一致性。我们还考虑了一种局部扰动，它是介质中收缩细胞的一个简单模型。
