Abstract
The adhesion of a living cell to an extracellular matrix surface is effected through the bonding of receptor molecules in the cell membrane to compatible ligand molecules on the surface. In a series of experiments on adhesion of cells to a substrate surface with a controlled density of ligand binding sites, Arnold et al. (ChemPhysChem 5:383, 2004) showed that tight cell adhesions could form only if the areal density of binding sites on the substrate was higher than some critical value. Furthermore, this critical value was consistent across the four cell types examined in the experiments. For ligand density below the critical level, on the other hand, virtually no adhesions formed. In this article, we examine the competition between thermal undulations of the cell membrane and its adhesion to the substrate. In particular, we show that thermal undulations destabilize membrane bonding to the substrate unless the bond spacing is below a certain level. By following this line of reasoning in the context of classical statistical mechanics, we obtain an estimate of the critical value of spacing which is in reasonable agreement with the observations.
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References
Harris AK, Wild P, Stopak D (1980) Science 208:177
Alberts B, Bray D, Lewis J, Raff M, Roberts K, Watson JD (1989) Molecular biology of the cell, 2nd edn. Garland Publishing, New York and London
Boulbitch A, Guttenberg Z, Sackmann E (2001) Biophys J 81:2743
Freund LB, Lin Y (2004) J Mech Phys Solids 52:2455
Shenoy VB, Freund LB (2005) Proc Natl Acad Sci USA 102:3213
Hersel U, Dahmen C, Kessler H (2003) Biomaterials 24:4385
Arnold M, Cavalcanti-Adam EA, Glass R, Blümmel J, Eck W, Kantlehner M, Kessler H, Spatz JP (2004) ChemPhysChem 5:383
Boal D (2002) Mechanics of the cell. Cambridge University Press, Cambridge
de Gennes PG, Taupin C (1982) J Phys Chem 86:2294
Gov N, Zilman AG, Safran S (2003) Phys Rev Lett 90:228101
Lin LC-L, Brown FL (2004) Biophys J 86:764
Gov N, Safran SA (2004) Phys Rev E 69:011101
Merath R-J, Seifert U (2006) Phys Rev E 73:010401
Lin Y, Inamdar M, Freund LB (2007) J Mech Phys Solids 55: in press
Goennenwein S, Tanaka M, Hu B, Moroder L, Sackmann E (2003) Biophys J 85:646
Acknowledgments
The research support of the National Science Foundation through the Brown University MRSEC Program (DMR-0079964) is gratefully acknowledged.
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Lin, Y., Freund, L.B. An lower bound on receptor density for stable cell adhesion due to thermal undulations. J Mater Sci 42, 8904–8910 (2007). https://doi.org/10.1007/s10853-007-1720-9
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DOI: https://doi.org/10.1007/s10853-007-1720-9