Isostaticity and controlled force transmission in the cytoskeleton: A model awaiting experimental evidence

Biophysical Journal

Volumn 91, Issue 5, 2006, Pages 1970-1983

  Blumenfeld, Raphael ^a,b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CYTOSKELETON; MATHEMATICAL MODEL; MEDICAL LITERATURE; MEDICAL RESEARCH; STRESS;

EID: 33748457525     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1529/biophysj.105.076703     Document Type: Article

References (39)

1. Folkman, J., and A. Mascona. 1978. Role of cell shape in growth control. Nature. 273:345-349.
2. Elson, E. L. 1988. Cellular mechanics as an indicator of cytoskeletal structure and function. In Annual Review of Biophysics and Biophysical Chemistry. D. M. Engelman, C. R. Cantor, and T. D. Pollard editors. Annual Reviews, Palo Alto, CA. 397-430.
3. Janmey, P. A. The cytoskeleton and cell signaling: component localization and mechanical coupling. Physiol. Rev. 78:763-781.
4. Wang, N., J. P. Butler, and D. E. Ingber. 1993. Mechanotrabsduction across the cell surface and through the cytoskeleton. Science. 260:1124-1127.
5. Fung, Y. C., and S. Q. Liu. 1993. Elementary mechanics of the endothelium of blood vessels. J. Biomech. Eng. 115:1-12.
6. Heidemann, S. R., S. Kaech, R. E. Buxbaum, and A. Matus. 1999. Direct observations of the mechanical behaviors of the cytoskeleton in living fibroblasts. J. Cell Biol. 145:109-122
7. Dong, C. R., R. Skalak, and K.-L. P. Sung. 1991. Cytoplasmic rheology of passive neutrophils. Biorheology. 28:557-567.
8. Adams, D. S. 1992. Mechanisms of cell shape change: the cytomechanics of cellular response to chemical environment and mechanical loading. J. Cell Biol. 117:83-93.
9. Thoumine, O., and A. Ott. 1997. Time-scale dependent viscoelastic and contractile regimes in fibroblasts probed by microplate manipulation. J. Cell Sci. 110:2109-2116.
10. Heidemann, S. R., and D. Wirtz. 2004. Towards a regional approach to cell mechanics. Trends Cell Biol. 14:160-166.
11. Bausch, A. R., F. Ziemann, A. A. Boulbitch, K. Jacobson, and E. Sackmann. 1998. Local measurements of viscoelastic parameters of adherent cell surfaces with magnetic twisting cytometry. Biophys. J. 75:2038-2049.
12. Helmke, B. P., A. B. Rosen, and D. F. Davis. 2003. Mapping mechanical strain of an endogeneous cytoskeletal network in living endothelial cells. Biophys. J. 84:2691-2699.
13. Helmke, B. P., D. B. Thakker, R. D. Goldman, and D. F. Davis. 2001. Spatiotemporal analysis of flow-induced intermediate filament displacement in living endothelial cells. Biophys. J. 80:184-194.
14. Maniotis, A. J., C. S. Chen, and D. E. Ingber. 1997. Demonstration of mechanical connections between integrins, cytoskeletal filaments and nucleoplasm that stabilize nuclear structure. Proc. Natl. Acad. Sci. USA. 94:849-854.
15. Chicurel, M. E., C. S. Chen and D. E. Ingber. 1998. Cellular control lies in the balance of forces. Curr. Opin. Cell Biol. 10:232-239.
16. Ingber, D. E. 1993. Cellular tensegrity: defining new rules of biological design that govern the cytoskeleton. J. Cell Sci. 104:613-627.
17. Stamenovic, D., J. J. Fredlberg, N. Wang, J. P. Butler, and D. E. Ingber. 1996. A microstructural approach to cytoskeletal mechanics based on tensegrity. J. Theor. Biol. 181:125-136.
18. Hu, S., J. Chen, B. Fabry, Y. Numaguchiu, A. Gouldstone, D. E. Ingber, J. J. Fredberg, J. P. Butler, and N. Wang. 2003. Intracellular stress tomography reveals stress focusing and structural anisotropy in cytoskeleton of living cells. Am. J. Physiol. Cell Physiol. 285:C1082-C1090.
19. Hu, S., J. Chen, J. P. Butler, and N. Wang. 2005. Prestress mediates force propagation into the nucleus. Biochem. Biophys. Res. Commun. 329:423-428.
20. Wang, N., and Z. Suo. 2005. Long-distance propagation of forces in a cell. Biochem. Biophys. Res. Commun. 328:1133-1138.
21. Ingber, D. E., J. A. Madri, and J. D. Jamieson. 1981. Role of basal lamina in the neoplastic disorganisation of tissue architecture. Proc. Natl. Acad. Sci. USA. 78:3901-3905.
22. Ingber, D. E., and J. D. Jamieson. 1985. Cells as tensegrity structures: architectural regulation of histodifferentiation by physical forces tranduced over basement membrane. In Gene Expression During Normal and Malignant Differentiation. L. C. Andersson, C. G. Gahmberg, and P. Ekblom editors. Academic Press, Orlando, FL. 13-32.
23. Pugh, A. 1976. Introduction to Tensegrity. University of California Press, Berkeley, CA.
24. Wang, N., I. M. Tolic-Norrelykke, J. Chen, S. M. Mijailovich, J. P. Butler, J. J. Fredberg, and D. Stamenovic. 2002. Cell prestress. I. Stiffness and prestress are closely associated in adherent contractile cells. Am. J. Physiol. Cell Physiol. 282:C606-C616.
25. Coughlin, M. F., and D. Stamenovic. 1997. A tensegrity structure with buckling compression elements: application to cell mechanics. J. Appl. Mech. 64:480-486.
26. Stamenovic, D., and M. F. Coughlin. 2000. A quantitative model of cellular elasticity based on tensegrity. J. Biomech. Eng. 122:39-43.
27. Welding, S., E. Planus, V. M. Laurent, L. Barbe, A. Mary, C. Oddou, and D. Isabey. 2000. Role of cellular tone and microenvironmental conditions on cytoskeleton stiffness assessed by tensegrity model. Eur. Phys. J. Appl. Phys. 9:51-62.
28. Stamenovic, D., and M. F. Coughlin. 1999. The role of prestress and architecture of the cytoskeleton and deformability of cytoskeletal filaments in mechanics of adherent cells: a quantitative analysis. J. Theor. Biol. 201:63-74.
29. Navier, C. L. M. H. 1864. Résumé des Leçons sur l'application de la Méchanique, 3éme edition avec des notes et des appendices par A. J. C. Barré de Saint-Venant. Dunod, Paris.
30. Maxwell, J. C. 1864. On reciprocal figures and diagrams of forces. Phil. Mag. 27:250-261.
31. Maxwell, J. C. 1872. On reciprocal figures, frames and diagrams of forces. Edinb. Roy. Soc. Trans. 26:1-40.
32. Ball, R. C. 1999. The propagation of stress through static powders. In Structures and Dynamics of Materials in the Mesoscopic Domain. M. Lal, R. A. Mashelkar, B. D. Kulkarni, and V. M. Naik, editors. Imperial College Press, London.
33. Reference deleted in proof.
34. Herrmann, H.J., J.-P. Hovi, and S. Luding, editors. 1998. Physics of Dry Granular Media. NATO ASI Series E 350. Kluwer, Dordrecht, The Netherlands.
35. Nicodemi, M. editor. 2005. Special Issue on Granular Media. J. Phys: Cond. Mat. 17.
36. Blumenfeld, R. 2004. Stresses in granular systems and emergence of force chains. Phys. Rev. Lett. 93:108301-108304.
37. Blumenfeld, R. 2003. Stress transmission in planar disordered solid foams. J. Phys. A: Math. Gen. 36:2399-2411.
38. Ball, R. C., and R. Blumenfeld. 2002. The stress field in granular systems: loop forces and potential formulation. Phys. Rev. Lett. 88:115505-115508.
39. Discher, D. E., D. H. Boal, and S. K. Boey. 1998. Simulations of the Erythrocyte Cytoskeleton at Large Deformation. II. Micropipette Aspiration. Biophys. J. 75:1584-1597.