A chemo-mechanical constitutive model for transiently cross-linked actin networks and a theoretical assessment of their viscoelastic behaviour

Biomechanics and Modeling in Mechanobiology

Volumn 12, Issue 2, 2013, Pages 373-382

  Fallqvist, B ^a   Kroon, M ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Actin; Cross link; Membrane; Transient; Viscoelasticity; actinin

Indexed keywords

BIOLOGY; CONSTITUTIVE MODELS; CROSSLINKING; DEFORMATION; PROTEINS; STRESS RELAXATION;

ACTIN; ACTIN FILAMENT; ACTIN NETWORKS; BIOLOGICAL CELLS; CROSS-LINK; LARGER DEFORMATIONS; MECHANICAL; MECHANICAL STIFFNESS; VISCOELASTIC BEHAVIORS; Α-ACTININ;

VISCOELASTICITY;

ALPHA ACTININ; ACTIN; ACTININ; CROSS LINKING REAGENT;

ACTIN FILAMENT; ARTICLE; BINDING KINETICS; BINDING SITE; CANADA; CHEMICAL MODEL; CROSS LINKING; EXTRACELLULAR MATRIX; KINEMATICS; MATHEMATICAL MODEL; MECHANICAL STRESS; PREDICTION; VISCOELASTICITY; BIOLOGICAL MODEL; BIOMECHANICS; ELASTICITY; METABOLISM; PHYSIOLOGY; PROTEIN BINDING; TIME; VISCOSITY;

ACTIN CYTOSKELETON; ACTININ; ACTINS; BIOMECHANICS; CROSS-LINKING REAGENTS; ELASTICITY; MODELS, BIOLOGICAL; PROTEIN BINDING; STRESS, MECHANICAL; TIME FACTORS; VISCOSITY;

EID: 84880729830     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-012-0406-7     Document Type: Article

References (26)

1. Biron D, Moses E (2004) The effect of α-actinin on the length distribution of f-actin. Biophys J 86: 3284-3290
2. Bonet J (2001) Large strain viscoelastic constitutive models. Int J Solids Struct 38: 2953-2968
3. Esue O, Tseng Y, Wirtz D (2009) α-actinin and filamin cooperatively enhance the stiffness of actin filament networks. PLoS ONE 4: 1-6
4. Evans E (1998) Energy landscapes of biomolecular adhesion and receptor anchoring at interfaces explored with dynamic force spectroscopy. Faraday Discuss 111: 1-16
5. Fletcher DA, Mullins RD (2010) Cell mechanics and the cytoskeleton. Nature 463: 485-493
6. Fraley TS, Pereira CB, Tran TC, Singleton CA, Greenwood JA (2005) Phosphoinositide binding regulates α-actinin dynamics. J Bio Chem 280: 15479-15482
7. Kamm RD, Mofrad MRK (2006) Introduction, with the biological basis for cell mechanics. In: MRK Mofrad RK (eds) Cytoskeletal mechanics: models and measurements. Cambridge University Press, New York, NY, pp 1-18
8. Kaunas R, Nguyen P, Usami S, Chien S (2005) Cooperative effects of rho and mechanical stretch on stress fiber organization. PNAS 102: 15895-15900
9. Kroon M (2010) A constitutive model for smooth muscle including active tone and passive viscoelastic behaviour. Math Med Biol 27: 129-155
10. Lieleg O, Bausch AR (2007) Cross-linker unbinding and self-similarity in bundled cytoskeletal networks. Phys Rev Lett 99: 15185-1-15185-4
11. Lieleg O, Schmoller KM, Cyron CJ, Luan Y, Wall WA, Bausch AR (2009a) Structural polymorphism in heterogenous cytoskeletal networks. Soft Matter 5: 1796-1803
12. Lieleg O, Schmoller KM, Claessens MMAE, Bausch AR (2009b) Cytoskeletal polymer networks: viscoelastic properties are determined by the microscopic interaction potential of cross-links. Biophys J 96: 4725-4732
13. Lubliner J (1985) A model of rubber viscoelasticity. Mech Res Commun 12: 93-99
14. Meyer RK, Aebi U (1990) Bundling of actin filaments by α-actinin depends on its molecular length. J Cell Biol 110: 2013-2024
15. Miyata H, Yasuda R, Kinosita K (1996) Strength and lifetime of the bond between actin and skeletal muscle α-actinin studied with an optical trapping technique. Biochim Biophys Acta 1290: 83-88
16. Nossal R (1988) On the elasticity of cytoskeletal networks. Biophys J 53: 349-359
17. Pardee JD (2010) The role of myosin in cell motility. In: Pardee JD (ed) The actin cytoskeleton in cell motility, cancer and infection, morgal & claypool life sciences, pp 37-50. http://www.morganclaypool.com
18. Pelletier O, Pokidysheva E, Hirst LS, Bouxsein N, Li Y, Safinya CR (2003) Structure of actin cross-linked with α-actinin: a network of bundles. Am Phys Soc 91: 148102-1-148102-4
19. Spiros AA (1998) Investigating models for cross-linker mediated actin filament dynamics. University of British Columbia, Vancouver
20. Stéphanou A (2006) Computational framework integrating cytoskeletal and adhesion dynamics for modeling cell motility. In: Chauviére A, Preziosi CVL (eds) Cell mechanics - from single scale-based model to multiscale modeling. CRC Press, Taylor & Francis Group, London, pp 159-177
21. Tempel M, Isenberg G, Sackmann E (1996) Temperature-induced sol-gel transition and microgel formation in α-actinin cross-linked actin networks: a rheological study. Am Phys Soc 54: 1802-1810
22. Tseng Y, Wirtz D (1996) Mechanics and multiple-particle tracking microheterogeneity of α-actinin cross-linked actin filament networks. Biophys J 81: 1643-1656
23. Wachsstock DH, Schwarz WH, Pollard TD (1993) Affinity of α-actinin for actin determines the structure and mechanical properties of actin filament gels. Biophys J 65: 205-214
24. Wachsstock DH, Schwarz WH, Pollard TD (1994) Cross-linker dynamics determine the mechanical properties of actin gels. Biophys J 66: 801-809
25. Xu J, Tseng Y, Wirtz D, Pollard TD (1998) Dynamic cross-linking by α-actinin determines the mechanical properties of actin filament networks. J Bio Chem 273: 9570-9576
26. Xu J, Tseng Y, Wirtz D (2000) Strain hardening of actin filament networks. J Bio Chem 275: 35886-35892