A model for compression-weakening materials and the elastic fields due to contractile cells

Journal of the Mechanics and Physics of Solids

Volumn 85, Issue , 2015, Pages 16-32

  Rosakis, Phoebus ^a   Notbohm, Jacob ^b   Ravichandran, Guruswami ^c  

^a UNIVERSITY OF CRETE   (Greece)

^b University of Wisconsin Madison   (United States)

^c California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CYTOLOGY; MATRIX ALGEBRA; STRESS-STRAIN CURVES;

BIOLOGICAL CELLS; CELL CONTRACTION; CONTRACTILE CELLS; LINEAR ELASTICITY; MATRIX DISPLACEMENT; MECHANICAL BEHAVIOR; NONLINEAR ELASTICS; STRESS STRAIN RELATION;

CELLS;

EID: 84941788561     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2015.08.013     Document Type: Article

References (27)

1. A.E.X. Brown, R.I. Litvinov, D.E. Discher, P.K. Purohit, and J.W. Weisel Multiscale mechanics of fibrin polymer: gel stretching with protein unfolding and loss of water Science 325 5941 2009 741 744
2. Enrico Conti, and Fred C. MacKintosh Cross-linked networks of stiff filaments exhibit negative normal stress Phys. Rev. Lett. 102 8 2009 088102
3. Dennis E. Discher, Paul Janmey, and Yu-li Wang Tissue cells feel and respond to the stiffness of their substrate Science 310 5751 2005 1139 1143
4. C. Franck, S. Hong, S.A. Maskarinec, D.A. Tirrell, and G. Ravichandran Three-dimensional full-field measurements of large deformations in soft materials using confocal microscopy and digital volume correlation Exp. Mech. 47 3 2007 427 438
5. Shijie He, Yewang Su, Baohua Ji, and Huajian Gao Some basic questions on mechanosensing in cell-substrate interaction J. Mech. Phys. Solids 70 2014 116 135
6. Paul A. Janmey, Margaret E. McCormick, Sebastian Rammensee, Jennifer L. Leight, Penelope C. Georges, and Fred C. MacKintosh Negative normal stress in semiflexible biopolymer gels Nat. Mater. 6 1 2007 48 51
7. Oleg V. Kim, Rustem I. Litvinov, John W. Weisel, and Mark S. Alber Structural basis for the nonlinear mechanics of fibrin networks under compression Biomaterials 35 25 2014 6739 6749
8. Oleg V. Kim, Xiaojun Liang, Rustem I. Litvinov, John W. Weisel, Mark S. Alber, and Prashant K. Purohit Foam-like compression behavior of fibrin networks Biomech. Model. Mechanobiol. 2015 1 16
9. R. Lakes, P. Rosakis, and A. Ruina Microbuckling instability in elastomeric cellular solids J. Mater. Sci. 28 17 1993 4667 4672
10. Licup, Albert James, Münster, Stefan, Sharma, Abhinav, Sheinman, Michael, Jawerth, Louise M., Fabry, Ben, Weitz, David A., MacKintosh, Fred, C., 2015. Stress controls the mechanics of collagen networks. arXiv preprint arXiv:1503.00924.
11. Chun-Min Lo, Hong-Bei Wang, Micah Dembo, and Yu-li Wang Cell movement is guided by the rigidity of the substrate Biophys. J. 79 1 2000 144 152
12. L. Angela Mihai, and Alain Goriely Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials Proc. R. Soc. A: Math. Phys. Eng. Sci. 467 2136 2011 3633 3646
13. Notbohm, Jacob, 2013. Dynamics of cell-matrix mechanical interactions in three dimensions (Ph.D. thesis). California Institute of Technology.
14. Jacob Notbohm, Ayelet Lesman, Phoebus Rosakis, David A. Tirrell, and Guruswami Ravichandran Microbuckling of fibrin provides a mechanism for cell mechanosensing J. R. Soc. Interface 12 108 2015 20150320
15. Notbohm, Jacob, Lesman, Ayelet, Tirrell, David A., Ravichandran, Guruswami, 2015b. Quantifying cell-induced matrix deformation in three dimensions based on imaging matrix fibers. Integr. Biol. 10.1039/C5IB00013K
16. Izabela K. Piechocka, Rommel G. Bacabac, Max Potters, Fred C. MacKintosh, and Gijsje H. Koenderink Structural hierarchy governs fibrin gel mechanics Biophys. J. 98 10 2010 2281 2289
17. J.H. Poynting On pressure perpendicular to the shear planes in finite pure shears, and on the lengthening of loaded wires when twisted Proc. R. Soc. Lond. Ser. A, Contain. Pap. Math. Phys. Character 82 557 1909 546 559
18. Cynthia A. Reinhart-King, Micah Dembo, and Daniel A. Hammer Cell-cell mechanical communication through compliant substrates Biophys. J. 95 12 2008 6044 6051
19. Blayne A. Roeder, Klod Kokini, Jennifer E. Sturgis, J. Paul Robinson, and Sherry L. Voytik-Harbin Tensile mechanical properties of three-dimensional type i collagen extracellular matrices with varied microstructure J. Biomech. Eng. 124 2 2002 214 222
20. Mathilda S. Rudnicki, Heather A. Cirka, Maziar Aghvami, Edward A. Sander, Qi Wen, and Kristen L. Billiar Nonlinear strain stiffening is not sufficient to explain how far cells can feel on fibrous protein gels Biophys. J. 105 1 2013 11 20
21. Quanming Shi, Rajarshi P. Ghosh, Hanna Engelke, Chris H. Rycroft, Luke Cassereau, James A. Sethian, Valerie M. Weaver, and Jan T. Liphardt Rapid disorganization of mechanically interacting systems of mammary acini Proc. Natl. Acad. Sci. 111 2 2014 658 663
22. Yair Shokef, and Samuel A. Safran Scaling laws for the response of nonlinear elastic media with implications for cell mechanics Phys. Rev. Lett. 108 17 2012 178103
23. Cornelis Storm, Jennifer J. Pastore, Fred C. MacKintosh, Tom C. Lubensky, and Paul A. Janmey Nonlinear elasticity in biological gels Nature 435 7039 2005 191 194
24. Viola Vogel, and Michae Sheetzl Local force and geometry sensing regulate cell functions Nat. Rev. Mol. Cell Biol. 7 4 2006 265 275
25. Hailong Wang, A.S. Abhilash, Christopher S. Chen, Rebecca G. Wells, and Vivek B. Shenoy Long-range force transmission in fibrous matrices enabled by tension-driven alignment of fibers Biophys. J. 107 11 2014 2592 2603
26. Jessamine P. Winer, Shaina Oake, and Paul A. Janmey Non-linear elasticity of extracellular matrices enables contractile cells to communicate local position and orientation PLoS One 4 7 2009 e6382
27. Katarina Wolf, and Peter Friedl Extracellular matrix determinants of proteolytic and non-proteolytic cell migration Trends Cell Biol. 21 12 2011 736 744