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Acta Mechanica Solida Sinica

, Volume 25, Issue 5, pp 467–472 | Cite as

On the Mechanics of Integrin Clustering During Cell-Substrate Adhesion

  • Hongyan Yuan
  • Huajian Gao
Article

Abstract

Recent numerical simulations have indicated that integrin clustering during cell-substrate adhesion can be driven by the presence of a repulsive layer between the cell membrane and the substrate (Paszek et al., PLoS Comput Biol 5:12, 2009). Here we present a simple mechanics model of this phenomenon in which the attraction between integrins is mediated by the long-range elastic deformation of the membrane and the repulsive layer. We obtain analytical solutions to the problem by employing the small deformation theory of an infinitely extended plate resting on an elastic foundation.

Key words

integrin clustering mechanics model cell-substrate adhesion attractive interaction 

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References

  1. [1]
    Rape, A.D., Guo, W.H. and Wang, Y.L., Responses of cells to adhesion-mediated signals: A universal mechanism. In: Mechanobiology of Cell-Cell and Cell-Matrix Interactions, Johnson, A.W. and Harley, B., Editors, 2011, Springer, Heidelberg.Google Scholar
  2. [2]
    Engler, A.J., et al., Matrix elasticity directs stem cell lineage specification. Cell, 2006, 126(4): 677–689.CrossRefGoogle Scholar
  3. [3]
    Bettinger, C.J., Langer, R. and Borenstein, J.T., Engineering substrate topography at the micro- and nanoscale to control cell function. Angewandte Chemie International Edition, 2009, 48(30): 5406–5415.CrossRefGoogle Scholar
  4. [4]
    Gao, H., Qian, J. and Chen, B., Probing mechanical principles of focal contacts in cell-matrix adhesion with a coupled stochastic-elastic modelling framework. Journal of the Royal Society Interface, Doi: 10.1098/rsif, 2011, 0157.Google Scholar
  5. [5]
    Arnold, M., et al., Activation of integrin function by nanopatterned adhesive interfaces. Chemphyschem, 2004. 5(3): 383–388.MathSciNetCrossRefGoogle Scholar
  6. [6]
    Cluzel, C., et al., The mechanisms and dynamics of αvβ3 integrin clustering in living cells. The Journal of Cell Biology, 2005, 171(2): 383–392.CrossRefGoogle Scholar
  7. [7]
    Paszek, M., et al., Integrin clustering is driven by mechanical resistance from the glycocalyx and the substrate. PLoS Computational Biology, 2009, 5(12): e1000604.MathSciNetCrossRefGoogle Scholar
  8. [8]
    Wang, J. and Gao, H., Clustering instability in adhesive contact between elastic solids via diffusive molecular bonds. Journal of the Mechanics and Physics of Solids, 2008, 56(1): 251–266.MathSciNetCrossRefGoogle Scholar
  9. [9]
    Lorz, B.G., et al., Adhesion of giant vesicles mediated by weak binding of sialyl-lewisx to e-selectin in the presence of repelling poly(ethylene glycol) molecules. Langmuir, 2007, 23(24): 12293–12300.CrossRefGoogle Scholar
  10. [10]
    Smith, A.S. and Sackmann, E., Progress in mimetic studies of cell adhesion and the mechanosensing. ChemPhysChem, 2009, 10(1): 66–78.CrossRefGoogle Scholar
  11. [11]
    Bruinsma, R., Goulian, M. and Pincus, P., Self-assembly of membrane junctions. Biophysical Journal, 1994, 67(2): 746–750.CrossRefGoogle Scholar
  12. [12]
    Bell, G.I., Dembo, M. and Bongrand, P., Cell-adhesion-competition between nonspecific repulsion and specific bonding. Biophysical Journal, 1984, 45(6): 1051–1064.CrossRefGoogle Scholar
  13. [13]
    Helfrich, W. and Servuss, R., Undulations, steric interaction and cohesion of fluid membranes. Il Nuovo Cimento D, 1984, 3(1): 137–151.CrossRefGoogle Scholar
  14. [14]
    Canham, P.B., Minimum energy of bending as a possible explanation of biconcave shape of human red blood cell. Journal of Theoretical Biology, 1970, 26(1): 61–81.CrossRefGoogle Scholar
  15. [15]
    Helfrich, W., Elastic properties of lipid bilayers—theory and possible experiments. Zeitschrift Fur Naturforschung C-a Journal of Biosciences, 1973, C28: 693–703.Google Scholar
  16. [16]
    Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells. 2d ed. Engineering Societies Monographs, McGraw-Hill, 1959.Google Scholar
  17. [17]
    Johnson, K.L., Contact Mechanics. New York: Cambridge University Press, 1985.CrossRefGoogle Scholar
  18. [18]
    Qian, J., Wang, J. and Gao, H., Lifetime and strength of adhesive molecular bond clusters between elastic media. Langmuir, 2008, 24(4): 1262–1270.CrossRefGoogle Scholar
  19. [19]
    Dill, K. and Bromberg, S., Molecular Driving Forces: Statistical Thermodynamics in Chemistry & Biology. New York: Garland Science, 2002.Google Scholar
  20. [20]
    Gao, H.J., Shi, W.D. and Freund, L.B., Mechanics of receptor-mediated endocytosis. Proceedings of the National Academy of Sciences of the United States of America, 2005, 102: 9469–9474.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  1. 1.School of EngineeringBrown UniversityProvidenceUSA

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