On the role of the filament length distribution in the mechanics of semiflexible networks

Acta Biomaterialia

Volumn 7, Issue 5, 2011, Pages 2109-2118

  Bai, Mo ^a   Missel, Andrew R ^a   Levine, Alex J ^a   Klug, William S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Actin; Cytoskeleton; Elasticity; Mechanics; Polydispersity

Indexed keywords

POLYDISPERSITY; PROTEINS; VOLCANIC ROCKS;

ACTIN; CROSS-LINK DENSITIES; CROSSLINKED NETWORKS; CROSSLINKED POLYMER NETWORKS; CYTOSKELETONS; ELASTIC FILAMENT; EXPONENTIALS; LENGTH DISTRIBUTIONS; MONO-DISPERSE; POLYDISPERSES;

DEFORMATION;

ARTICLE; CONTROLLED STUDY; CROSS LINKING; ELASTIC FIBER; MECHANICS; MICROFILAMENT; PRIORITY JOURNAL;

EID: 79953836736     PISSN: 17427061     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actbio.2010.12.025     Document Type: Article

References (59)

1. Breuer O, Sundararaj U. Big returns from small fibers: a review of polymer/carbon nanotube composites. Polym Compos 2004;25(6):630-45. (Pubitemid 40002560)
2. Coleman J, Khan U, Gun'ko Y. Mechanical reinforcement of polymers using carbon nanotubes. Adv Mater 2006;18(6):689-706.
3. Alberts B, Johnson A, Lewis J, Raff M, Bray D, Hopkin K, et al. Essential cell biology. 2nd ed. Garland Science; 2003.
4. Wachsstock D, Schwarz W, Pollard T. Cross-linker dynamics determine the mechanical properties of actin gels. Biophys J 1994;66(3P1):801-9. (Pubitemid 24083000)
5. Mizuno D, Tardin C, Schmidt C, MacKintosh F. Nonequilibrium mechanics of active cytoskeletal networks. Science 2007;315(5810):370.
6. Gardel M, Shin J, MacKintosh F, Mahadevan L, Matsudaira P, Weitz D. Elastic behavior of cross-linked and bundled actin networks. Science 2004;304(5675):1301.
7. Gittes F, Schnurr B, Olmsted P, MacKintosh F, Schmidt C. Microscopic viscoelasticity: shear moduli of soft materials determined from thermal fluctuations. Phys Rev Lett 1997;79(17):3286-9. (Pubitemid 127624769)
8. Humphrey D, Duggan C, Saha D, Smith D, Käs J. Active fluidization of polymer networks through molecular motors. Nature 2002;416(6879):413-6. (Pubitemid 34272872)
9. Schmoller K, Lieleg O, Bausch A. Cross-linking molecules modify composite actin networks independently. Phys Rev Lett 2008;101(11):118102.
10. Janmey P, Weitz D. Dealing with mechanics: mechanisms of force transduction in cells. Trends Biochem Sci 2004;29(7):364-70. (Pubitemid 38968753)
11. Gardel M, Nakamura F, Hartwig J, Crocker J, Stossel T, Weitz D. Prestressed F-actin networks cross-linked by hinged filamins replicate mechanical properties of cells. Proc Natl Acad Sci USA 2006;103(6):1762.
12. Bausch A, Kroy K. A bottom-up approach to cell mechanics. Nat Phys 2006;2(4):231-8. (Pubitemid 43553642)
13. Janmey P, McCulloch C. Cell mechanics: integrating cell responses to mechanical stimuli. Ann Rev Biomed Eng 2007;9:1-34. (Pubitemid 350252899)
14. Stossel T, Condeelis J, Cooley L, Hartwig J, Noegel A, Schleicher M, et al. Filamins as integrators of cell mechanics and signalling. Nat Rev Mol Cell Biol 2001;2(2):138-45. (Pubitemid 33674042)
15. Missel A, Bai M, Klug W, Levine A. Affine-nonaffine transition in anisotropic semiflexible networks. Phys Rev E 2010;82(4):041907.
16. Lin YC, Koenkerink G, MacKintosh F, Weitz D. Control of non-linear elasticity in F-actin networks with microtubules. Soft Matter 2011;7(3):902-6.
17. Bai M, Missel A, Klug W, Levine A. The mechanics and affine-nonaffine transition in polydisperse semiflexible networks. Soft Matter 2011;7(3):907-14.
18. Kasza K, Broedersz C, Koenderink G, Lin Y, Messner W, Millman E, et al. Actin filament length tunes elasticity of flexibly cross-linked actin networks. Biophys J 2010;99(4):1091-100.
19. DiDonna B, Levine A. Unfolding cross-linkers as rheology regulators in F-actin networks. Phys Rev E 2007;75(4):41909.
20. Broedersz C, Storm C, MacKintosh F. Effective-medium approach for stiff polymer networks with flexible cross-links. Phys Rev E 2009;79(6):61914.
21. Janmey P, Euteneuer U, Traub P, Schliwa M. Viscoelastic properties of vimentin compared with other filamentous biopolymer networks. J Cell Biol 1991;113(1):155.
22. Storm C, Pastore J, MacKintosh F, Lubensky T, Janmey P. Nonlinear elasticity in biological gels. Nature 2005;435(7039):191-4. (Pubitemid 40685941)
23. Xu J, Wirtz D, Pollard T. Dynamic cross-linking by α-actinin determines the mechanical properties of actin filament networks. J Biol Chem 1998;273(16):9570.
24. Shin J, Gardel M, Mahadevan L, Matsudaira P, Weitz D. Relating microstructure to rheology of a bundled and cross-linked F-actin network in vitro. Proc Natl Acad Sci USA 2004;101(26):9636.
25. Gisler T, Weitz D. Scaling of the microrheology of semidilute F-actin solutions. Phys Rev Lett 1999;82(7):1606-9. (Pubitemid 129646685)
26. Stamenović D, Rosenblatt N, Montoya-Zavala M, Matthews B, Hu S, Suki B, et al. Rheological behavior of living cells is timescale-dependent. Biophys J 2007;93(8):39-41.
27. Deng L, Trepat X, Butler J, Millet E, Morgan K, Weitz D, et al. Fast and slow dynamics of the cytoskeleton. Nat Mater 2006;5(8):636-40. (Pubitemid 44157681)
28. Fredberg J, Kamm R. Stress transmission in the lung: pathways from organ to molecule. Annu Rev Physiol 2006;68:507-41.
29. Wirtz D. Particle-tracking microrheology of living cells: principles and applications. Ann Rev Biophys 2009;38:301-26.
30. Tseng Y, Kole T, Wirtz D. Micromechanical mapping of live cells by multiple-particle-tracking microrheology. Biophys J 2002;83(6):3162-76. (Pubitemid 36041936)
31. Trepat X, Deng L, An S, Navajas D, Tschumperlin D, Gerthoffer W, et al. Universal physical responses to stretch in the living cell. Nature 2007;447(7144):592-5.
32. Lau A, Hoffman B, Davies A, Crocker J, Lubensky T. Microrheology, stress fluctuations, and active behavior of living cells. Phys Rev Lett 2003;91(19):198101.
33. MacKintosh F, Käs J, Janmey P. Elasticity of semiflexible biopolymer networks. Phys Rev Lett 1995;75(24):4425-8.
34. Wagner B, Tharmann R, Haase I, Fischer M, Bausch A. Cytoskeletal polymer networks: the molecular structure of cross-linkers determines macroscopic properties. Proc Natl Acad Sci USA 2006;103(38):13974.
35. Liu J, Koenderink G, Kasza K, MacKintosh F, Weitz D. Visualizing the strain field in semiflexible polymer networks: strain fluctuations and nonlinear rheology of F-actin gels. Phys Rev Lett 2007;98(19):198304.
36. Wilhelm J, Frey E. Elasticity of stiff polymer networks. Phys Rev Lett 2003;91(10):108103.
37. Heussinger C, Frey E. Floppy modes and nonaffine deformations in random fiber networks. Phys Rev Lett 2006;97(10):105501.
38. Heussinger C, Frey E. Stiff polymers, foams, and fiber networks. Phys Rev Lett 2006;96(1):17802.
39. Heussinger C, Schaefer B, Frey E. Nonaffine rubber elasticity for stiff polymer networks. Phys Rev E 2007;76(3):31906.
40. Heussinger C, Frey E. Role of architecture in the elastic response of semiflexible polymer and fiber networks. Phys Rev E 2007;75(1):11917.
41. Heussinger C, Frey E. Force distributions and force chains in random stiff fiber networks. Eur Phys J E 2007;24(1):47-53 (URL: 〈http://dx.doi. org/10.1140/epje/i2007-10209-1/〉).
42. Head D, Levine A, MacKintosh F. Deformation of cross-linked semiflexible polymer networks. Phys Rev Lett 2003;91(10):108102.
43. Head D, Levine A, MacKintosh F. Distinct regimes of elastic response and deformation modes of cross-linked cytoskeletal and semiflexible polymer networks. Phys Rev E 2003;68(6):61907.
44. Head D, Levine A, MacKintosh F. Mechanical response of semiflexible networks to localized perturbations. Phys Rev E 2005;72(6):61914.
45. Das M, MacKintosh FC, Levine AJ. Effective medium theory of semiflexible filamentous networks. Phys Rev Lett 2007;99(3):038101. doi:10.1103/PhysRevLett. 99.038101.
46. Sept D, Xu J, Pollard T, Andrew McCammon J. Annealing accounts for the length of actin filaments formed by spontaneous polymerization. Biophys J 1999;77(6):2911-9.
47. Fujiwara I, Takahashi S, Tadakuma H, Funatsu T, Ishiwata S. Microscopic analysis of polymerization dynamics with individual actin filaments. Nat Cell Biol 2002;4(9):666-73. (Pubitemid 34993702)
48. Viamontes J, Narayanan S, Sandy A, Tang J. Orientational order parameter of the nematic liquid crystalline phase of F-actin. Phys Rev E 2006;73(6):61901.
49. Bolterauer H, Limbach H, Tuszyski J. Microtubules: strange polymers inside the cell. Bioelectrochem Bioenerg 1999;48(2):285-95. (Pubitemid 29225155)
50. Lees A. Edwards SThe computer study of transport processes under extreme conditions. J Phys C Solid State Phys 1972;5:1921-8.
51. Byrd R, Lu P, Nocedal J, Zhu C. A limited memory algorithm for bound constrained optimization. SIAM J Sci Comput 1995;16(5):1190-208.
52. Zhu C, Byrd R, Lu P, Nocedal J. Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization. ACM Trans Math Softw (TOMS) 1997;23(4):550-60. (Pubitemid 127447768)
53. Head D, MacKintosh F, Levine A. Nonuniversality of elastic exponents in random bond-bending networks. Phys Rev E 2003;68:025101 (R).
54. Howard J. Mechanics of motor proteins and the cytoskeleton. Sunderland, MA: Sinauer Associates, Inc.; 2001.
55. Heussinger C, Bathe M, Frey E. Statistical mechanics of semiflexible bundles of wormlike polymer chains. Phys Rev Lett 2007;99(4):48101.
56. Onck P, 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.
57. van Dillen T, Onck P, Van der Giessen E. Models for stiffening in cross-linked biopolymer networks: a comparative study. J Mech Phys Solids 2008;56(6):2240-64.
58. Kabla A, Mahadevan L. Nonlinear mechanics of soft fibrous networks. J R Soc Interface 2007;4(12):99.
59. Wyart M, Liang H, Kabla A, Mahadevan L. Elasticity of floppy and stiff random networks. Phys Rev Lett 2008;101(21):215501.