Nonlinear elasticity in biological gels (original) (raw)

References

  1. Shadwick, R. E. Mechanical design in arteries. J. Exp. Biol. 202, 3305–3313 (1999)
    CAS PubMed Google Scholar
  2. Fung, Y. A First Course in Continuum Mechanics (Prentice Hall, Englewood Cliffs, 1994)
    Google Scholar
  3. Karakaplan, A. D., Bieniek, M. P. & Skalak, R. A mathematical model of lung parenchyma. J. Biomech. Eng. 102, 124–136 (1980)
    Article CAS PubMed Google Scholar
  4. Hjortdal, J. O. Extensibility of the normo-hydrated human cornea. Acta Ophthalmol. Scand. 73, 12–17 (1995)
    Article CAS PubMed Google Scholar
  5. Shah, J. V. & Janmey, P. A. Strain hardening of fibrin gels and plasma clots. Rheologica Acta 36, 262–268 (1997)
    Article CAS Google Scholar
  6. Janmey, P. A. et al. The mechanical properties of actin gels. Elastic modulus and filament motions. J. Biol. Chem. 269, 32503–32513 (1994)
    CAS PubMed Google Scholar
  7. Xu, J., Tseng, Y. & Wirtz, D. Strain hardening of actin filament networks. Regulation by the dynamic cross-linking protein alpha-actinin. J. Biol. Chem. 275, 35886–35892 (2000)
    Article CAS PubMed Google Scholar
  8. Ma, L., Xu, J., Coulombe, P. A. & Wirtz, D. Keratin filament suspensions show unique micromechanical properties. J. Biol. Chem. 274, 19145–19151 (1999)
    Article CAS PubMed Google Scholar
  9. Fixman, M. & Kovac, J. Polymer conformational statistics. III. Modified Gaussian models of stiff chains. J. Chem. Phys. 58, 1564–1568 (1973)
    Article ADS CAS Google Scholar
  10. Smith, S. B., Finzi, L. & Bustamante, C. Direct mechanical measurement of the elasticity of single DNA molecules by using magnetic beads. Science 258, 1122–1126 (1992)
    Article ADS CAS PubMed Google Scholar
  11. Marko, J. & Siggia, E. Stretching DNA. Macromolecules 28, 8759–8770 (1995)
    Article ADS CAS Google Scholar
  12. MacKintosh, F., Käs, J. & Janmey, P. Elasticity of semiflexible biopolymer networks. Phys. Rev. Lett. 75, 4425–4428 (1995)
    Article ADS CAS PubMed Google Scholar
  13. Kroy, K. & Frey, E. Force-extension relation and plateau modulus for wormlike chains. Phys. Rev. Lett. 77, 306–309 (1996)
    Article ADS CAS PubMed Google Scholar
  14. Morse, D. Viscoelasticity of tightly entangled solutions of semiflexible polymers. Phys. Rev. E 58, R1237–R1240 (1998)
    Article ADS CAS Google Scholar
  15. Gittes, F. & MacKintosh, F. C. Dynamic shear modulus of a semiflexible polymer network. Phys. Rev. E 58, R1241–R1244 (1998)
    Article ADS CAS Google Scholar
  16. Treloar, L. R. G. The Physics of Rubber Elasticity (Clarendon, Oxford, 1975)
    Google Scholar
  17. Landau, L. D. & Lifshitz, E. M. Statistical Physics I (Pergamon, Oxford, 1980)
    MATH Google Scholar
  18. Landau, L. D. & Lifshitz, E. M. Theory of Elasticity (Pergamon, Oxford, 1986)
    MATH Google Scholar
  19. Gittes, F., Mickey, B., Nettleton, J. & Howard, J. Flexural rigidity of microtubules and actin filaments measured from thermal fluctuations in shape. J. Cell Biol. 120, 923–934 (1993)
    Article CAS PubMed Google Scholar
  20. Head, D. A., Levine, A. J. & MacKintosh, F. C. Deformation of cross-linked semiflexible polymer networks. Phys. Rev. Lett. 91, 108102 (2003)
    Article ADS PubMed Google Scholar
  21. Wilhelm, J. & Frey, E. Elasticity of stiff polymer networks. Phys. Rev. Lett. 91, 108103 (2003)
    Article ADS PubMed Google Scholar
  22. Gardel, M. L. et al. Elastic behavior of cross-linked and bundled actin networks. Science 304, 1301–1305 (2004)
    Article ADS CAS PubMed Google Scholar
  23. Grosberg, A. Y. & Khlokhlov, A. R. Statistical Physics of Macromolecules (American Institute of Physics Press, New York, 1994)
    Google Scholar
  24. Wilhelm, J. & Frey, E. Radial distribution function of semiflexible polymers. Phys. Rev. Lett. 77, 2581–2584 (1996)
    Article ADS CAS PubMed Google Scholar
  25. Leterrier, J. F., Kas, J., Hartwig, J., Vegners, R. & Janmey, P. A. Mechanical effects of neurofilament cross-bridges. Modulation by phosphorylation, lipids, and interactions with F-actin. J. Biol. Chem. 271, 15687–15694 (1996)
    Article CAS PubMed Google Scholar
  26. Janmey, P. A. & Ferry, J. D. Gel formation by fibrin oligomers without addition of monomers. Biopolymers 25, 1337–1344 (1986)
    Article CAS PubMed Google Scholar
  27. Janmey, P. A., Hvidt, S., Lamb, J. & Stossel, T. P. Resemblance of actin-binding protein/actin gels to covalently crosslinked networks. Nature 345, 89–92 (1990)
    Article ADS CAS PubMed Google Scholar
  28. Janmey, P. A., Euteneuer, U., Traub, P. & Schliwa, M. Viscoelastic properties of vimentin compared with other filamentous biopolymer networks. J. Cell Biol. 113, 155–160 (1991)
    Article CAS PubMed Google Scholar
  29. Wang, L. Z. et al. Purification of salmon clotting factors and their use as tissue sealants. Thromb. Res. 100, 537–548 (2000)
    Article CAS PubMed Google Scholar

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