Models for stiffening in cross-linked biopolymer networks: A comparative study

Journal of the Mechanics and Physics of Solids

Volumn 56, Issue 6, 2008, Pages 2240-2264

  van Dillen, T ^a   Onck, P R ^a   Van der Giessen, E ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Biological material; Constitutive behavior; Elastic material; Finite elements; Structure

Indexed keywords

COMPUTER SIMULATION; DEFORMATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NONLINEAR ANALYSIS; STIFFNESS;

BIOPOLYMER NETWORK; CONSTITUTIVE BEHAVIOR; ELASTIC MATERIAL;

BIOPOLYMERS;

EID: 42649145410     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2008.01.007     Document Type: Article

References (34)

1. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1965), Dover Publications, New York
2. Bale M.D., and Ferry J.D. Strain enhancement of elastic-modulus in fine fibrin clots. Thromb. Res. 52 (1988) 565-572
3. DiDonna B.A., and Levine A.J. Filamin cross-linked semiflexible networks: fragility under strain. Phys. Rev. Lett. 97 (2006) 068104
4. DiDonna B.A., and Lubensky T.C. Nonaffine correlations in random elastic media. Phys. Rev. E 72 (2005) 066619
5. Gardel M.L., Shin J.H., MacKintosh F.C., Mahadevan L., Matsudaira P., and Weitz D.A. Elastic behavior of cross-linked and bundled actin networks. Science 304 (2004) 1301-1305
6. Gardel M.L., Nakamura F., Hartwig J.H., Crocker J.C., Stossel T.P., and Weitz D.A. Prestressed F-actin networks cross-linked by hinged filamins replicate mechanical properties of cells. Proc. Nat. Acad. Sci. USA 103 (2006) 1762-1767
7. Gittes F., Mickey B., Nettleton J., and Howard J. Flexural rigidity of microtubules and actin-filaments measured from thermal fluctuations in shape. J. Cell Biol. 120 (1993) 923
8. Head D.A., Levine A.J., and MacKintosh F.C. Deformation of cross-linked semiflexible polymer networks. Phys. Rev. Lett. 91 (2003) 108102
9. Head D.A., Levine A.J., and MacKintosh F.C. Distinct regimes of elastic response and deformation modes of cross-linked cytoskeletal and semiflexible polymer networks. Phys. Rev. E 68 (2003) 061907
10. Head D.A., MacKintosh F.C., and Levine A.J. Nonuniversality of elastic exponents in random bond-bending networks. Phys. Rev. E 68 (2003) 025101
11. Heussinger C., and Frey E. Floppy modes and nonaffine deformations in random fiber networks. Phys. Rev. Lett. 97 (2006) 105501
12. Howard, J., 2001. Mechanics of Motor Proteins and the Cytoskeleton. Sinauer Associates, Inc., Sunderland, MA.
13. Janmey P.A., Amis E., and Ferry J. Rheology of fibrin clots 6. Stress-relaxation, creep, and differential dynamic modulus of fine clots in large shearing deformations. J. Rheol. 27 (1983) 135-153
14. Janmey P.A., Euteneuer U., Traub P., and Schliwa M. Viscoelastic properties of vimentin compared with other filamentous biopolymer networks. J. Cell Biol. 113 (1991) 155-160
15. Kroy K., and Frey E. Force-extension relation and plateau modulus for wormlike chains. Phys. Rev. Lett. 77 (1996) 306-309
16. Leterrier J.F., Käs J., Hartwig J., Vegners R., and Janmey P.A. Mechanical effects of neurofilament cross-bridges-modulation by phosphorylation, lipids, and interactions with F-actin. J. Biol. Chem. 271 (1996) 15687-15694
17. Levine A.J., Head D.A., and MacKintosh F.C. The deformation field in semiflexible networks. J. Phys. Condens. Matter 16 (2004) s2079-s2088
18. Ma L.L., Xu J., Coulombe P.A., and Wirtz D.J. Keratin filament suspensions show unique micromechanical properties. J. Biol. Chem. 274 (1999) 19145-19151
19. MacKintosh F.C., Käs J., and Janmey P.A. Elasticity of semiflexible biopolymer networks. Phys. Rev. Lett. 75 (1995) 4425
20. Marko J.F., and Siggia E.D. Stretching DNA. Macromolecules 28 (1995) 8759-8770
21. McGrath J.L. Cell mechanics: filaminA leads the way. Curr. Biol. 16 (2006) R326-R327
22. Odijk T. On the statistics and dynamics of confined or entangled stiff polymers. Macromolecules 16 (1983) 1340-1344
23. Onck P.R., Koeman T., Van Dillen T., and Van der Giessen E. Alternative explanation of stiffening in cross-linked semiflexible networks. Phys. Rev. Lett. 95 (2005) 178102
24. Storm C., Pastore J.J., MacKintosh F.C., Lubensky T.C., and Janmey P.A. Nonlinear elasticity in biological gels. Nature 435 (2005) 191-194
25. Tharmann R., Claessens M.M.A.E., and Bausch A.R. Viscoelasticity of isotropically cross-linked actin networks. Phys. Rev. Lett. 98 (2007) 088103
26. Tseng Y., An K.M., Esue O., and Wirtz D. The bimodal role of filamin in controlling the architecture and mechanics of F-actin networks. J. Biol. Chem. 279 (2004) 1819-1826
27. Wachsstock D.H., Schwartz W.H., and Pollard T.D. Cross-linker dynamics determine the mechanical properties of actin gels. Biophys. J. 66 (1994) 801-809
28. Wagner B., Tharmann R., Haase I., Fischer M., and Bausch A.R. Cytoskeletal polymer networks: the molecular structure of cross-linkers determines macroscopic properties. Proc. Nat. Acad. Sci. USA 103 (2006) 13974-13978
29. Wang N., and Ingber D.E. Probing transmembrane mechanical coupling and cytomechanics using magnetic twisting cytometry. Biochem. Cell Biol. 73 (1995) 327-335
30. Wilhelm J., and Frey E. Radial distribution function of semiflexible polymers. Phys. Rev. Lett. 77 (1996) 2581-2584
31. Wilhelm J., and Frey E. Elasticity of stiff polymer networks. Phys. Rev. Lett. 91 (2003) 108103
32. Wu P.D., and Van der Giessen E. On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers. J. Mech. Phys. Solids 41 (1993) 427-456
33. Wu P.D., and Van der Giessen E. On network descriptions of mechanical and optical properties of rubbers. Philos. Mag. A 71 (1995) 1191-1206
34. Xu J., Tseng Y., and Wirtz D. Strain hardening of actin filament networks-regulation by the dynamic cross-linking protein alpha-actinin. J. Biol. Chem. 275 (2000) 35886-35892