Variational approximation methods for long-range force transmission in biopolymer gels

被引：0
作者：
Wang, Haiqin [1 ,2 ]
Xu, Xinpeng [1 ,2 ]
机构：
[1] Guangdong Technion Israel Inst Technol, Phys Program, 241 Daxue Rd, Shantou 515063, Peoples R China
[2] Technion Israel Inst Technol, IL-3200003 Haifa, Israel
来源：
CHINESE PHYSICS B | 2022年 / 31卷 / 10期
基金：
美国国家科学基金会;
关键词：
biopolymer gels; cell-cell communications; force transmission; variational methods; NONLINEAR ELASTICITY; EXTRACELLULAR MATRICES; CELLS; ALIGNMENT; BEHAVIOR;
D O I：
10.1088/1674-1056/ac720a
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The variational principle of minimum free energy (MFEVP) has been widely used in research of soft matter statics. The 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. We apply these variational methods to study long-range force transmission in nonlinear elastic biopolymer gels. It is shown 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.
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页数：7
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