论文标题
生物聚合物凝胶中远程力传递的变分近似方法
Variational approximation method for the long-range force transmission in biopolymer gels
论文作者
论文摘要
最低自由能的变异原理（MFEVP）已被广泛用于软物质静态的研究。 MFEVP不仅可以用于得出平衡方程（包括批量方程和边界条件），而且还可以开发直接的变分方法（例如RITZ方法）来找到这些平衡方程的近似解决方案。在这项工作中，我们应用了这些变分方法来研究非线性弹性生物聚合物凝胶中的远程力传递。我们表明，通过基于生物聚合物凝胶的三链模型，可以很好地解释细胞诱导的位移的缓慢衰减，以实验测量的三维纤维蛋白凝胶中成纤维细胞球体的衰变。
The variational principle of minimum free energy (MFEVP) has been widely used in the study of soft matter statics. MFEVP can be used not only to derive equilibrium equations (including both bulk equations and boundary conditions), but also to develop direct variational methods (such as Ritz method) to find approximate solutions to these equilibrium equations. In this work, we applied these variational methods to study long-range force transmission in nonlinear elastic biopolymer gels. We showed that the slow decay of cell-induced displacements measured experimentally for fibroblast spheroids in three-dimensional fibrin gels can be well explained by variational approximations based on the three-chain model of biopolymer gels.
