Universality in nonlinear elasticity of biological and polymeric networks and gels

Macromolecules

Volumn 44, Issue 1, 2011, Pages 140-146

  Dobrynin, Andrey V ^a   Carrillo, Jan Michael Y ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL TISSUES; CONVENTIONAL MATERIALS; DEFORMABILITY; DISTINCTIVE FEATURES; HIGHLY NONLINEAR; LINEAR STRESS STRAIN RELATIONSHIP; MACROSCOPIC STRAINS; MATERIAL HARDENING; MOLECULAR DYNAMICS SIMULATIONS; MOLECULAR PARAMETERS; NATURAL RUBBER; NETWORK DEFORMATION; NEUROFILAMENTS; NONLINEAR ELASTICITY; NONLINEAR MECHANICAL PROPERTIES; POLYMERIC NETWORKS; REVERSIBLE DEFORMATION; RUBBER BANDS; STRAIN-DEPENDENT; UNIVERSAL RELATIONSHIP; VIMENTIN;

BIOMECHANICS; DEFORMATION; HARDENING; MECHANICAL PROPERTIES; MOLECULAR DYNAMICS; POLYMERS; PROTEINS; RUBBER; STRAIN; STRESS-STRAIN CURVES; SYNTHETIC RUBBER;

COMPUTER SIMULATION;

EID: 78650859228     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma102154u     Document Type: Article

References (30)

1. Treloar, L. R. G., The Physics of Rubber Elasticity; Clarendon Press: Oxford, U.K., 2005.
2. Becker, G. W.; Kruger, O. On the nonlinear biaxial stress-strain behavior of rubberlike polymers. In Deformation and Fracture of High Polymers; Kausch, H. H., Hessell, J. A., Jaffee, R. I., Eds. Plenum Press: New York, 1972.
3. Williams, S. R.; Mather, B. D.; Miller, K. M.; Long, T. E. Novel michael addition networks containing urethane hydrogen bonding J. Polym. Sci. A 2007, 45 (17) 4118-4128
4. Storm, C.; Pastore, J. J.; MacKintosh, F. C.; Lubensky, T. C.; Janmey, P. A. Nonlinear elasticity in biological gels Nature 2005, 435 (7039) 191-194
5. Rubinstein, M.; Colby, R. H. Polymer Physics; Oxford University Press: New York, 2003.
6. MacKintosh, F. C. Elasticity and dynamics of cytoskeletal filaments and their networks. In Soft condensed matter physics in molecular and cell biology; Poon, W. C. K.; Andelman, D., Eds.; Taylor & Francis: New York, 2006; pp 139- 155.
7. Kroy, K. Elasticity, dynamics and relaxation in biopolymer networks Curr. Opin. Colloid Interface Sci. 2006, 11 (1) 56-64
8. Heussinger, C.; Schaefer, B.; Frey, E. Nonaffine rubber elasticity for stiff polymer networks Phys. Rev. E 2007, 76 (3) 031906
9. Conti, E.; MacKintosh, F. C. Cross-Linked Networks of Stiff Filaments Exhibit Negative Normal Stress Phys. Rev. Lett. 2009, 102 (8) 088102
10. Onck, P. R.; Koeman, T.; van Dillen, T.; van der Giessen, E. Alternative explanation of stiffening in cross-linked semiflexible networks Phys. Rev. Lett. 2005, 95 (17) 178102
11. Marko, J. F.; Siggia, E. D. Stretching DNA Macromolecules 1995, 28 (26) 8759-8770
12. Smit, S. B.; Cui, Y. J.; Bustamante, C. Overstretching B-DNA: The elastic response of individual double-stranded and single-stranded DNA molecules Science 1996, 271, 795-799
13. Bustamante, C.; Smith, S. B.; Liphardt, J.; Smith, D. Single-molecule studies of DNA mechanics Curr. Opin. Struct. Biol. 2000, 10 (3) 279-285
14. Williams, M. C.; Rouzina, I. Force spectroscopy of single DNA and RNA molecules Curr. Opin. Struct. Biol. 2002, 12 (3) 330-336
15. Toan, N. M.; Thirumalai, D. Theory of biopolymer stretching at high force Macromolecules 2010, 43, 4394-4400
16. Rosa, A.; Hoang, T. X.; Marenduzzo, D.; Maritan, A. Elasticity of semiflexible polymers with and without self-interactions Macromolecules 2003, 36, 10095-10102
17. Livadaru, L.; Netz, R. R.; Kreuzer, H. J. Stretching response of discrete semiflexible polymers Macromolecules 2003, 36, 3732-3744
18. Dobrynin, A. V.; Carrillo, J.-M. Y.; Rubinstein, M. Chains are more flexible under tension Macromolecules 2010, 43, 9181-9190
19. Carrillo, J.-M. Y.; Dobrynin, A. V. Effect of the electrostatic interactions on stretching of semiflexible and biological polyelectrolytes Macromolecules 2010, 43, 2589-2604
20. Pechhold, W. Deformation of polymers as explained by the meander model. In Deformation and Fracture of High Polymers; Kausch, H. H.; Hessell, J. A.; Jaffee, R. I., Eds.; Plenum: New York, 1972; pp 301- 315.
21. Frenkel, D.; Smit, B., Understanding Molecular Simulations; Academic Press: New York, 2002.
22. Kasza, K. E.; Koenderink, G. H.; Lin, Y. C.; Broedersz, C. P.; Messner, W.; Nakamura, F.; Stossel, T. P.; MacKintosh, F. C.; Weitz, D. A. Nonlinear elasticity of stiff biopolymers connected by flexible linkers Phys. Rev. E 2009, 79, 041928
23. Janmey, P. A.; McCormick, M. E.; Rammensee, S.; Leight, J. L.; Georges, P. C.; Mackintosh, F. C. Negative normal stress in semiflexible biopolymer gels Nat. Mater. 2007, 6 (1) 48-51
24. Kang, H.; Wen, Q.; Janmey, P. A.; Tang, J. X.; Conti, E.; MacKintosh, F. C. Nonlinear Elasticity of Stiff Filament Networks: Strain Stiffening, Negative Normal Stress, and Filament Alignment in Fibrin Gels J. Phys. Chem. B 2009, 113 (12) 3799-3805
25. Gardel, M. L.; Kasza, K. E.; Brangwynne, C. P.; Liu, J. Y.; Weitz, D. A. Mechanical Response of Cytoskeletal Networks. In Biophysical Tools for Biologists, Vol. 2: In Vivo Techniques; 2008; Vol. 89, p 487.
26. Kasza, K. E.; Rowat, A. C.; Liu, J. Y.; Angelini, T. E.; Brangwynne, C. P.; Koenderink, G. H.; Weitz, D. A. The cell as a material Curr. Opin. Cell Biol. 2007, 19 (1) 101-107
27. Weisel, J. W. Biophysics-Enigmas of blood clot elasticity Science 2008, 320 (5875) 456-457
28. Rubinstein, M.; Panyukov, S. Elasticity of polymer networks Macromolecules 2002, 35, 6670-6686
29. Plimpton, S. J. Fast parallel algorithms for short-range molecular dynamics J. Comput. Phys. 1995, 117, 1-19; lammps.sandia.gov
30. Grest, G. S.; Putz, M.; Everaers, R.; Kremer, K. Stress-strain relation of entangled polymer networks J. Non-Cryst. Solids 2000, 274 (1-3) 139-146