Modelling of cross-linked actin networks - Influence of geometrical parameters and cross-link compliance

Journal of Theoretical Biology

Volumn 350, Issue , 2014, Pages 57-69

  Fallqvist, B ^a   Kulachenko, A ^a   Kroon, M ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Actin; Cross link; Cytoskeleton; Filamin; Network

Indexed keywords

FILAMIN A; ACTIN; CROSS LINKING REAGENT;

BOUNDARY CONDITION; MODELING; NUMERICAL MODEL; POLYMER; STATISTICAL ANALYSIS; STIFFNESS;

ACTIN FILAMENT; ARTICLE; CELL SIZE; CONTROLLED STUDY; FINITE ELEMENT ANALYSIS; KERNEL METHOD; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; PREDICTION; PRIORITY JOURNAL; PROCESS DEVELOPMENT; PROTEIN CROSS LINKING; YOUNG MODULUS; BINDING SITE; BIOLOGICAL MODEL; MECHANICAL STRESS; METABOLISM; THERMODYNAMICS;

ACTIN CYTOSKELETON; ACTINS; BINDING SITES; CROSS-LINKING REAGENTS; ELASTIC MODULUS; MODELS, BIOLOGICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; STRESS, MECHANICAL; THERMODYNAMICS;

EID: 84896842750     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2014.01.032     Document Type: Article

References (28)

1. Arruda E., Boyce M. A three-dimensional constitutive model for large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 1993, 41:389-412.
2. Benaroya H., Han S.M. Probability Models in Engineering and Science 2005, Taylor & Francis Group, New York.
3. Biron D., Moses E. The effect of α-actinin on the length distribution of f-actin. Biophys. J. 2004, 86:3284-3290.
4. Boal, D., 2002. In: Boal, D. (Ed.), Mechanics of the Cell, Cambridge University Press, British Columbia, Canada.
5. van Dillen T., Onck P., der Giessen E.V. Models for stiffening in cross-linked biopolymer networks. a comparative study. J. Mech. Phys. Solids 2008, 56:2240-2264.
6. Fallqvist B., Kroon M. A chemo-mechanical constitutive model for transiently cross-linked actin networks and a theoretical assessment of their viscoelastic behaviour. Biomech. Model Mechanobiol. 2012, 12:373-382.
7. Fraley T.S., Pereira C.B., Tran T.C., Singleton C.A., Greenwood J.A. Phosphoinositide binding regulates α-actinin dynamics. J. Biol. Chem. 2005, 280:15,479-15,482.
8. Furuike, S., Ito, T., Yamazaki, M., 2001. Mechanical unfolding of single filamin a (abp-280) molecules detected by atomic force microscopy. FEBS Lett. 498, 72-75.
9. Gardel M., Nakamura F. Prestressed f-actin networks cross-linked by hinged filamins replicate mechanical properties of cells. Proc. Natl. Acad. Sci. 2006, 103:1762-1767.
10. Gardel M., Kasza K.A., Brangwynne C., Liu J., Weitz D. Mechanical response of cytoskeletal networks. Methods in Cell Biol. 2008, 89:487-519.
11. Gong J., Zhang D., Tseng Y., Li B., Wirtz D., Schafer B. Form-finding model shows how cytoskeleton network stiffness is realized. PLoS ONE 2013, 8:1-17.
12. Huisman, E., van Dillen, T., Onck, P., der Giessen, E.V., 2007. Three-dimensional cross-linked f-actin networks: relation between network architecture and mechanical behavior. Am. Phys. Soc. 208, 103-1-4.
13. Janmey P., Hvidt S., Käs J., Lerche D., Maggs A., Sackmann E., Schliva M., Stossel T. The mechanical properties of actin gels. J. Biol. Chem. 1994, 269:32,503-32,513.
14. Kamm, R.D., Mofrad, M.R.K., 2006. In: Mofrad, M.R.K, Kamm, R. (Eds.) Cytoskeletal Mechanics: Models and Measurements. Cambridge University Press, New York, NY, USA.
15. Kasza K., Broedersz C., Koenderink G., Lin Y., Messner W., Millman E., Nakamura F., Stossel T., Mackintosh F., Weitz D. Actin filament length tunes elasticity of flexibly cross-linked actin networks. Biophys. J. 2010, 99:1091-1100.
16. Kojima, H., Ishijima, A., Yanagida, T., 1994. Direct measurement of stiffness of single actin filaments with and without tropomyosin by in vitro nanomanipulation. Proc. Natl. Acad. Sci. USA 91, 12,962-12,966.
17. Lindström S., Vader D., Kulachenko A., Weitz D. Biopolymer networks. characterization, regeneration and elastic properties. Phys. Rev. Lett. 2010, 82. 051,905-1-051,905-4.
18. Lindström S., Kulachenko A., Jawerth L., Vader D. Finite-strain, finite-size mechanics of rigidly cross-linked biopolymer networks. Soft Matter 2013, 9:7302-7313.
19. Nunnally M., Powell L., Craig S. Reconstitution and regulation of actin gel-sol transformation with purified filamin and villin. J. Biol. Chem. 1980, 256:2083-2086.
20. Pardee J.D. The role of myosin in cell motility. The Actin Cytoskeleton in Cell Motility Cancer and Infection 2010, 37-50. Morgal & Claypool Life Sciences, 〈http://www.morganclaypool.com〉. J.D. Pardee (Ed.).
21. Spiros A.A. Investigating Models for Cross-linker Mediated Actin Filament Dynamics 1998, University of British Columbia, Vancouver, Canada.
22. Stéphanou A. Computational framework integrating cytoskeletal and adhesion dynamics for modeling cell motility. Cell Mechanics - From Single Scale-based Model to Multiscale Modeling 2006, 159-177. CRC Press, Taylor & Francis Group, London, UK. A. Chauviére, C.V.L. Preziosi (Eds.).
23. Suresh S., Spatz J., Mills J., Micoulet A., Dao M., Lim C., Beil M., Seufferlein T. Connections between single cell biomechanics and human disease states. gastrointestinal cancer and malaria. Acta Biomater. 2004, 1:15-30.
24. Wachsstock D.H., Schwarz W.H., Pollard T.D. Affinity of α-actinin for actin determines the structure and mechanical properties of actin filament gels. Biophys. J. 1993, 65:205-214.
25. Wachsstock D.H., Schwarz W.H., Pollard T.D. Cross-linker dynamics determine the mechanical properties of actin gels. Biophys. J. 1994, 66:801-809.
26. Xu J., Casella J., Pollard T. Effect of capping protein, CapZ, on the length of actin filaments and mechanical properties of actin filament networks. Cell Motil. Cytoskelet. 1999, 42:73-81.
27. Xu J., Tseng Y., Wirtz D. Strain hardening of actin filament networks. J. Biol. Chem. 2000, 275:35,886-35,892.
28. Yin H., Zaner K., Stossel T. Ca2 control of actin gelation. J. Biol. Chem. 1980, 255:9494-9500.