Semiflexible filament networks viewed as fluctuating beam-frames

Soft Matter

Volumn 8, Issue 17, 2012, Pages 4664-4674

  Su, Tianxiang ^a,b   Purohit, Prashant K ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

A-FRAMES; APPLIED LOADS; ENTROPIC ELASTICITY; FILAMENT NETWORKS; FINITE ELEMENT; FRAME STRUCTURE; KINEMATIC VARIABLES; MECHANICAL BEHAVIOR; PARTITION FUNCTIONS; PENALTY METHODS; PERSISTENCE LENGTH; SECOND ORDERS; SQUARE NETWORKS; STATIC EQUILIBRIUM CONFIGURATIONS; STATIC EQUILIBRIUM STATE; STRESS SOFTENING; STRUCTURAL MECHANICS; THERMAL FLUCTUATIONS; THERMAL MOTION; THERMOMECHANICAL PROPERTIES; TRIANGULAR NETWORK; UNIAXIAL TENSIONS;

ELASTICITY; SOIL STRUCTURE INTERACTIONS; STATISTICAL MECHANICS; STIFFNESS MATRIX; STRUCTURAL FRAMES;

FILAMENTS (LAMP);

EID: 84859779947     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/c2sm07058h     Document Type: Article

References (49)

1. M. L. Gardel J. H. Shin F. C. MacKintosh L. Mahadevan P. Matsudaira D. A. Weitz Elastic behavior of cross-linking and bundled actin networks Science 2004 304 5675 1301 1305
2. O. Chaudhuri S. H. Parekh D. A. Fletcher Reversible stress softening of actin networks Nature 2007 445 7125 295 298
3. M. L. Gardel K. E. Kasza C. P. Brangwynne J. Liu D. A. Weitz Mechanical response of cytoskeletal networks Methods Cell Biol. 2008 89 487 519
4. N. Y. Yao D. J. Becker C. P. Broedersz M. Depken F. C. Mackintosh M. R. Pollak D. A. Weitz Nonlinear viscoelasticity of actin transiently cross-linked with mutant -actinin-4 J. Mol. Biol. 2011 411 1062 1071
5. C. P. Broedersz F. C. MacKintosh Molecular motors stiffen non-affine semiflexible polymer networks Soft Matter 2011 7 3186
6. P. A. Janmey M. E. McCormick S. Rammensee J. L. Leight P. C. Georges F. C. MacKintosh Negative normal stress in semiflexible biopolymer gels Nat. Mater. 2007 6 1 48 51
7. H. Kang Q. Wen P. A. Janmey J. X. Tang E. Conti F. C. MacKintosh 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 805
8. M. Das F. C. MacKintosh A. J. Levine Effective medium theory of semiflexible filamentous networks Phys. Rev. Lett. 2007 99 038101
9. D. A. Head A. J. Levine F. C. MacKintosh Deformation of cross-linked semiflexible polymer networks Phys. Rev. Lett. 2003 91 108102
10. D. A. Head A. J. Levine F. C. MacKintosh Distinct regimes of elastic response and deformation modes of cross-linked cytoskeletal and semiflexible polymer networks Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 2003 68 061907
11. E. Conti F. C. Mackintosh Cross-linked networks of stiff filaments exhibit negative normal stress Phys. Rev. Lett. 2009 102 088102
12. K. E. Kasza C. P. Broedersz G. H. Koenderink Y. C. Lin W. Messner E. A. Millman F. Nakamura T. P. Stossel F. C. Mackintosh D. A. Weitz Actin filament length tunes elasticity of flexibly cross-linked actin networks Biophys. J. 2010 99 1091 1100
13. J. X. Tang P. A. Janmey T. P. Stossel T. Ito Thiol oxidation of actin produces dimers that enhance the elasticity of the F-actin network Biophys. J. 1998 76 4 2208 2215
14. F. Gittes F. C. MacKintosh Dynamic shear modulus of a semiflexible polymer network Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 1998 58 R1241
15. Q. Wen P. A. Janmey Polymer physics of the cytoskeleton Curr. Opin. Solid State Mater. Sci. 2011 15 177 182
16. P. R. Onck T. Koeman T. Van Dillen E. Van der Giessen Alternative explanation of stiffening in cross-linked semiflexible networks Phys. Rev. Lett. 2005 95 178102
17. J. F. Marko E. D. Siggia Stretching D. N. A. Macromolecules 1995 28 26 8759
18. T. Kim W. Hwang H. Lee R. D. Kamm Computational analysis of viscoelastic properties of crosslinked actin networks PLoS Comput. Biol. 2009 5 e1000439
19. M. L. Gardel J. H. Shin F. C. MacKintosh L. Mahadevan P. A. Matsudaira D. A. Weitz Scaling of F-actin network rheology to probe single filament elasticity and dynamics Phys. Rev. Lett. 2004 93 188102
20. R. Tharmann M. M. Claessens A. R. Bausch Viscoelasticity of isotropically cross-linked actin networks Phys. Rev. Lett. 2007 98 088103
21. M. Arslan M. C. Boyce Constitutive modeling of the finite deformation behavior of membranes possessing a triangulated network microstructure J. Appl. Mech. 2006 73 4 536 543
22. J. S. Palmer M. C. Boyce Constitutive modeling of the stress strain behavior of F-actin filament networks Acta Biomater. 2008 4 3 597 612
23. C. P. Brangwynne F. C. MacKintosh S. Kumar N. A. Geisse J. Talbot L. Mahadevan K. K. Parker D. E. Ingber D. A. Weitz Microtubules can bear enhanced compressive loads in living cells because of lateral reinforcement J. Cell Biol. 2006 173 5 733 741
24. K. D. Costa W. J. Hucker F. C. Yin Buckling of actin stress fibers: a new wrinkle in the cytoskeletal tapestry Cell Motil. Cytoskeleton 2002 52 4 266 274
25. e Silva MS Depken M, Stuhrmann B, Korsten M, MacKintosh FC, and Koenderink GH. Active multistage coarsening of actin networks driven by myosin motors Proc. Natl. Acad. Sci. U. S. A. 2011 108 9408 9413
26. C. Y. Tang L. C. Zhang K. Mylvaganamb Rate dependent deformation of a silicon nanowire under uniaxial compression: yielding, buckling and constitutive description Comput. Mater. Sci. 2012 51 117
27. S. Pronk P. L. Geissler Faster strain fluctuation methods through partial volume updates J. Chem. Phys. 2009 130 194706
28. B. Erman, J. E. Mark. Structures and Properties of Rubberlike Networks. Oxford University Press; 1997
29. T. van Dillen P. R. Onck E. Van der Giessen Models for stiffening in cross-linked biopolymer networks: a comparative study J. Mech. Phys. Solids 2008 56 2240 2264
30. M. Bai A. R. Missel W. S. Klug A. J. Levine The mechanics and affine-nonaffine transition in polydisperse semiflexible networks Soft Matter 2011 7 907 914
31. M. Bai A. R. Missel A. J. Levine W. S. Klug On the role of the filament length distribution in the mechanics of semiflexible networks Acta Biomater. 2011 7 2109 2118
32. A. R. Missel M. Bai M. S. Klug A. J. Levine Affine-nonaffine transition in networks of nematically ordered semiflexible polymers Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2010 82 041907
33. P. Chen V. B. Shenoy Strain stiffening induced by molecular motors in active crosslinked biopolymer networks Soft Matter 2011 7 355 358
34. T. Kreis, R. Vale. Guidebook to the Cytoskeletal and Motor Proteins. New York: Oxford University Press; 1999
35. R. Niederman P. C. Amrein J. Hartwig Three-dimensional structure of actin filaments and of an actin gel made with actin-binding protein J. Cell Biol. 1983 96 5 1400 1413
36. Y. Zhang D. M. Crothers Statistical mechanics of sequence-dependent circular DNA and its application for DNA cyclization Biophys. J. 2003 84 1 136 153
37. T. Su P. K. Purohit Thermomechanics of a heterogeneous fluctuating chain J. Mech. Phys. Solids 2010 58 2 164 186
38. P. K. Purohit M. E. Arsenault Y. E. Goldman H. H. Bau The mechanics of short rod-like molecules in tension Int. J. Nonlinear Mech. 2008 43 1056 1063
39. T. Su P. K. Purohit Fluctuating elastic filaments under distributed loads Mol Cell Biomech 2011 8 215 232
40. T. Su S. K. Das M. Xiao P. K. Purohit Transition between two regimes describing internal fluctuation of DNA in a nanochannel PLoS One 2011 6 e16890
41. M. F. Coughlin Stamenović DA. A tensegrity model of the cytoskeleton in spread and round cells J. Biomech. Eng. 1998 120 770 777
42. Z. P. Baant Cedolin Luigi, Stability of structures: elastic, inelastic, fracture, and damage theories Courier Dover Publications 2003
43. K. Baczynski R. Lipowsky J. Kierfeld Stretching of buckled filaments by thermal fluctuations Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2007 76 061914
44. M. Emanuel H. Mohrbach M. Syar H. Schiessel Kulić IM. Buckling of stiff polymers: Influence of thermal fluctuations Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2007 76 061907
45. N. K. Lee A. Johner S. C. Hong Compressing a rigid filament: Buckling and cyclization Eur. Phys. J. E 2007 24 229 241
46. L. J. Gibson, M. F. Ashby Cellular Solids: Structure and Properties. Cambridge University Press; 1999
47. D. H. Boal. Mechanics of the cell. Cambridge: Cambridge University Press; 2002
48. Y. C. Lin G. H. Koenderink F. C. MacKintosh D. A. Weitz Control of non-linear elasticity in F-actin networks with microtubules Soft Matter 2011 7 902
49. E. M. Huisman C. Heussinger C. Storm G. T. Barkema Semiflexible filamentous composites Phys. Rev. Lett. 2010 105 118101