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

doi:10.1088/1674-1056/ac720a

中国物理B ›› 2022, Vol. 31 ›› Issue (10): 104602-104602.doi: 10.1088/1674-1056/ac720a

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

Haiqin Wang(王海钦)^1,2, and Xinpeng Xu(徐新鹏)^1,2,,†

1. Physics Program, Guangdong Technion-Israel Institute of Technology, 241 Daxue Road, Shantou 515063, China;
2. Technion-Israel Institute of Technology, Haifa 3200003, Israel

收稿日期:2022-03-28 修回日期:2022-05-07 出版日期:2022-10-16 发布日期:2022-09-16
通讯作者: Xinpeng Xu E-mail:xu.xinpeng@gtiit.edu.cn
基金资助:
X. X. is supported by the National Science Foundation for Young Scientists of China (Grant No. 12004082), Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme (2019), 2020 Li Ka Shing Foundation Cross-Disciplinary Research (Grant No. 2020LKSFG08A), Provincial Science Foundation of Guangdong (Grant No. 2019A1515110809), Guangdong Basic and Applied Basic Research Foundation (Grant No. 2020B1515310005), Featured Innovative Projects (Grant No. 2018KTSCX282), and Youth Talent Innovative Platforms (Grant No. 2018KQNCX318) in Universities in Guangdong Province.

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

Haiqin Wang(王海钦)^1,2, and Xinpeng Xu(徐新鹏)^1,2,,†

1. Physics Program, Guangdong Technion-Israel Institute of Technology, 241 Daxue Road, Shantou 515063, China;
2. Technion-Israel Institute of Technology, Haifa 3200003, Israel

Received:2022-03-28 Revised:2022-05-07 Online:2022-10-16 Published:2022-09-16
Contact: Xinpeng Xu E-mail:xu.xinpeng@gtiit.edu.cn
Supported by:
X. X. is supported by the National Science Foundation for Young Scientists of China (Grant No. 12004082), Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme (2019), 2020 Li Ka Shing Foundation Cross-Disciplinary Research (Grant No. 2020LKSFG08A), Provincial Science Foundation of Guangdong (Grant No. 2019A1515110809), Guangdong Basic and Applied Basic Research Foundation (Grant No. 2020B1515310005), Featured Innovative Projects (Grant No. 2018KTSCX282), and Youth Talent Innovative Platforms (Grant No. 2018KQNCX318) in Universities in Guangdong Province.

摘要/Abstract

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.

关键词: biopolymer gels, cell-cell communications, force transmission, variational methods

Abstract: 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.

Key words: biopolymer gels, cell-cell communications, force transmission, variational methods

中图分类号: (Variational and optimizational methods)

46.15.Cc

46.25.-y (Static elasticity) 87.17.Rt (Cell adhesion and cell mechanics) 82.35.Pq (Biopolymers, biopolymerization)

Haiqin Wang(王海钦), and Xinpeng Xu(徐新鹏). Variational approximation methods for long-range force transmission in biopolymer gels[J]. 中国物理B, 2022, 31(10): 104602-104602.

Haiqin Wang(王海钦), and Xinpeng Xu(徐新鹏). Variational approximation methods for long-range force transmission in biopolymer gels[J]. Chin. Phys. B, 2022, 31(10): 104602-104602.

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

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

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