Mechanics of microtubule buckling supported by cytoplasm

Journal of Applied Mechanics, Transactions ASME

Volumn 75, Issue 6, 2008, Pages 0610191-0610199

  Jiang, Hanqing ^a   Zhang, Jiaping ^a  

^a Arizona State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIVE FORCES; CYLINDRICAL TUBES; CYTOSKELETON; DYNAMIC EVOLUTIONS; EULER BUCKLING; IN VITRO EXPERIMENTS; IN-VIVO; IN-VIVO EXPERIMENTS; MECHANICS MODELS; MICROTUBULE; MICROTUBULES;

BUCKLING; CYTOLOGY; DIFFERENTIAL EQUATIONS; DIFFRACTIVE OPTICAL ELEMENTS; MECHANICS; POLYMERS; PRESSURE EFFECTS; SCAFFOLDS;

CELLS;

EID: 55149089827     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2966216     Document Type: Article

References (40)

1. Alberts, B., Johnson, A., Lewis, J., Raff, M., Roberts, K., and Walter, P., 2003, Molecular Biology of the Cell, Garland Science, New York.
2. Howard, J., and Hyman, A. A., 2003, "Dynamics and Mechanics of the Microtubule Plus End," Nature (London), 422, pp. 753-758.
3. Bao, G., and Suresh, S., 2003, "Cell and Molecular Mechanics of Biological Materials," Nat. Mater., 2, pp. 715-725.
4. Karsenti, E., Nedelec, F., and Surrey, T., 2006, "Modelling Microtubule Patterns," Nat. Cell Biol., 8, pp. 1204-1211.
5. Kolodney, M. S., and Wysolmerski, R. B., 1992, "Isometric Contraction by Fibroblasts and Endothelial-Cells in Tissue-Culture-A Quantitative Study," J. Cell Biol., 117, pp. 73-82.
6. WatermanStorer, C. M., and Salmon, E. D., 1997, "Actomyosin-Based Retrograde Flow of Microtubules in Migrating Epithelial Cells Influences Dynamic Instability and is Associated With Microtubule Breakage and Treadmilling," Mol. Biol. Cell, 8, p. 17.
7. Putnam, A. J., Cunningham, J. J., Dennis, R. G., Linderman, J. J., and Mooney, D. J., 1998, "Microtubule Assembly is Regulated by Externally Applied Strain in Cultured Smooth Muscle Cells," J. Cell. Sci., 111, pp. 3379-3387.
8. Wang, N., Naruse, K., Stamenovic, D., Fredberg, J. J., Mijailovich, S. M., Toric-Norrelykke, I. M., Polte, T., Mannix, R., and Ingber, D. E., 2001, "Mechanical Behavior in Living Cells Consistent With the Tensegrity Model," Proc. Natl. Acad. Sci. U.S.A., 98, pp. 7765-7770.
9. Stamenovic, D., Mijailovich, S. M., Tolic-Norrelykke, I. M., Chen, J. X., and Wang, N., 2002, "Cell Prestress. II. Contribution of Microtubules," Am. J. Physiol.: Cell Physiol., 282, pp. C617-C624.
10. Gittes, F., Mickey, B., Nettleton, J., and Howard, J., 1993, "Flexural Rigidity of Microtubules and Actin-Filaments Measured From Thermal Fluctuations in Shape," J. Cell Biol., 120, pp. 923-934.
11. Dogterom, M., and Yurke, B., 1997, "Measurement of the Force-Velocity Relation for Growing Microtubules," Science, 278, pp. 856-860.
12. Gittes, F., Meyhofer, E., Back, S., and Howard, J., 1996, "Directional Loading of the Kinesin Motor Molecule as it Buckles a Microtubule," Biophys. J., 70, pp. 418-429.
13. Brangwynne, C. P., MacKintosh, F. C., Kumar, S., Geisse, N. A., Talbot, J., Mahadevan, L., Parker, K. K., Ingber, D. E., and Weitz, D. A., 2006, "Microtubules can Bear Enhanced Compressive Loads in Living Cells Because of Lateral Reinforcement," J. Cell Biol., 173, pp. 733-741.
14. Timoshenko, S., and Gere, J., 1961, Theory of Elastic Stability, McGraw-Hill, New York.
15. Huang, Z. Y., Hong, W., and Suo, Z., 2005, "Nonlinear Analyses of Wrinkles in a Film Bonded to a Compliant Substrate," J. Mech. Phys. Solids, 53. pp. 2101-2118.
16. Chen, X., and Hutchinson, J. W., 2004, "Herringbone Buckling Patterns of Compressed Thin Films on Compliant Substrates," ASME J. Appl. Mech., 71. pp. 597-603.
17. Berk, A., Zipursky, S. L., Matsudaira, P., David, B., and Damell, J., 2001, Molecular Cell Biology, Scientific American Library, New York.
18. Sugi, H., and Chaen, S., 2003, "Force-Velocity Relationships in Actin-Myosin Interactions Causing Cytoplasmic Streaming in Algal Cells," J. Exp. Biol., 206, pp. 1971-1976.
19. Chaen, S., Inoue, J., and Sugi, H., 1995, "The Force-Velocity Relationship of the Atp-Dependent Actin-Myosin Sliding Causing Cytoplasmic Streaming in Algal Cells, Studied Using a Centrifuge Microscope," J. Exp. Biol., 198, pp. 1021-1027.
20. Pickard, W. F., 2003, "The Role of Cytoplasmic Streaming in Symplastic Transport," Plant, Cell Environ., 26, pp. 1-15.
21. Pozrikidis, C., 1997, Introduction to Theoretical and Computational Fluid Dynamics, Oxford University Press, New York.
22. Abramowitz, M., and Stegun, I. A., 1972, Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables, Dover, New York.
23. Fushimi, K., and Verkman, A. S., 1991, "Low Viscosity in the Aqueous Domain of Cell Cytoplasm Measured by Picosecond Polarization Microfluorimetry," J. Cell Biol., 112, pp. 719-725.
24. Swaminathan, R., Hoang, C. P., and Verkman, A. S., 1997, "Photobleaching Recovery and Anisotropy Decay of Green Fluorescent Protein GFP-S65T in Solution and Cells: Cytoplasmic Viscosity Probed by Green Fluorescent Protein Translational and Rotational Diffusion," Biophys. J., 72, pp. 1900-1907.
25. Bicknese, S., Periasamy, N., Shohet, S. B., and Verkman, A. S., 1993, "Cytoplasmic Viscosity Near the Cell Plasma-Membrane-Measurement by Evanescent Field Frequency-Domain Microfluorimetry," Biophys. J., 65, pp. 1272-1282.
26. Mofrad, M. R. K., and Kamm, R. D., 2006. Cytoskelelal Mechanics: Models and Measurements, Cambridge University Press, Cambridge.
27. Kachanov, M., Shafiro, B., and Tsukrov, I., 2003, Handbook of Elasticity-Solutions, Kluwer Academic, Boston.
28. Canetta, E., Duperray. A., Leyrat, A., and Verdier, C., 2005, "Measuring Cell Viscoelastic Properties Using a Force-spectrometer: Influence of Protein-Cytoplasm Interactions," Biorheology, 42, pp. 321-333.
29. Kasza, K. E., Rowat, A. C., Liu, J. Y., Angelini, T. E., Brangwynne, C. P., Koenderink, G. H., and Weitz, D. A., 2007, "The Cell as a Material," Curr. Opin. Cell Biol., 19, pp. 101-107.
30. Christensen, R. M., 1971, Theory of Viscoelaslicity: An Introduction, Academic, New York.
31. Huang, R., 2005, "Kinetic Wrinkling of an Elastic Film on a Viscoelastic Substrate," J. Mech. Phys. Solids, 53. pp. 63-89.
32. Huang, R., and Im, S. H., 2006, "Dynamics of Wrinkle Growth and Coarsening in Stressed Thin Films," Phys. Rev. E. 74, p. 026214.
33. Huang, R., and Suo, Z., 2002, ''Wrinkling of a Compressed Elastic Film on a Viscous Layer," J. Appl. Phys., 91, pp. 1135-1142.
34. Huang, R., and Suo, Z., 2002, "Instability of a Compressed Elastic Film on a Viscous Layer," Int. J. Solids Struct., 39, pp. 1791-1802.
35. Huang, Z. Y., Hong, W., and Suo, Z., 2004, "Evolution of Wrinkles in Hard Films on Soft Substrates," Phys. Rev. E. 70. p. 030601.
36. Im, S. H., and Huang, R., 2005, "Evolution of Wrinkles in Elastic-viscoelaslic Bilayer Thin Films," ASME J. Appl. Mech., 72, pp. 955-961.
37. Jiang, H., Khang, D.-Y. Song, J., Sun, Y., Huang, Y., and Rogesr, J. A., 2007, "Finite Deformation Mechanics in Buckled Thin Films on Compliant Supports," Proc. Natl. Acad. Sci. U.S.A., 104, pp. 15607-15612.
38. Suresh, S., 2007, "Biomechanics and Biophysics of Cancer Cells," Acta Mater., 55, pp. 3989-4014.
39. Liu, Y. F., Guo, Y. X., Valles, J. M., and Tang, J. X., 2006, "Microtubule Bundling and Nested Buckling Drive Stripe Formation in Polymerizing Tubulin Solutions," Proc. Natl. Acad. Sci. U.S.A., 103, pp. 10654-10659.
40. Das, M., Levine, A. J., and MacKinstosh, F. C., 2008, "Buckling and Force Propagation Along Intracellular Microtubules," e-print arXiv:0709.2344.