Abstract
Mechanical stiffness of bio-adhesive substrates is one of the major regulators of the cell adhesion and migration. In this contribution, we propose a theoretical model for the spontaneous growth of focal adhesion sites on compliant elastic substrates at the early stages of cellular adhesion. Using a purely thermodynamic approach, we demonstrate that the rate of membrane-substrate association decreases with increasing the compliance of the substrate. This can be considered as a reason for smaller spread area of the focal adhesion points after the stabilization of adhesion on compliant substrates, as reported by experiments. We also show that the extent to which the compliance of the substrate modulates the growth rate of adhesion site depends on the areal density of cell-adhesive ligands on the substrate.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Liu X, Lim J Y, Donahue H J, et al. Influence of substratum surface chemistry/energy and topography on the human fetal osteoblastic cell line hFOB 1.19: Phenotypic and genotypic responses observed in vitro. Biomaterials, 28: 4535–4550, 2007.
Morgenthaler S, Zink C and Spencer N D. Surface-chemical and morphological gradients. Soft Matter, 4: 419–434, 2008.
Martin J Y, Schwartz Z, Hummert T W, et al. Effect of titanium surface roughness on proliferation, differentiation, and protein synthesis of human osteoblast-like cells (MG63). J Biomed Mater Res, 29: 389–401, 1995.
Lampin M, Warocquier C, Legris C, et al. Correlation between substratum roughness and wettability, cell adhesion, and cell migration. J Biomed Mater Res, 42: 473–474, 1998.
Chen C S, Mrksich M, Huang S, et al. Micropatterned surfaces for control of cell shape, position, and function. Biotechnol Prog, 14: 356–363, 1998.
Christman K L, Enriquez-Rios V D and Maynard H D. Nanopatterning proteins and peptides. Soft Matter, 2: 928–939, 2006.
Cavalcanti-Adam E A, Volberg T, Micoulet A, et al. Cell spreading and focal adhesion dynamics are regulated by spacing of integrin ligands. Biophys J, 92: 2964–2974, 2007.
Discher D E, Janmey P and Wang Y. Tissue cells feel and respond to the stiffness of their substrate. Science, 310: 1139–1143, 2005.
Peyton S R and Putnam A J. Extracellular matrix rigidity governs smooth muscle cell motility in a biphasic fashion. J Cell Physiol, 204: 198–209, 2005.
McDaniel D P, Shaw G A, Elliott J T, et al. The stiffness of collagen fibrils influences vascular smooth muscle cell phenotype. Biophys J, 92: 1759–1769, 2007.
Engler A J, Griffin M A, Sen S, et al. Myotubes differentiate optimally on substrates with tissue-like stiffness: Pathological implications of stiff or soft microenvironments. J Cell Biol, 166: 877–887, 2004.
Engler A J, Sen S, Sweeney H L, et al. Matrix elasticity directs stem cell lineage specification. Cell, 126: 677–89, 2006.
Geiger B and Bershadsky A. Assembly and mechanosensory function of focal contacts. Curr Opin Cell Biol, 13: 584–592, 2001.
Sackmann E and Bruinsma R F. Cell adhesion as wetting transition. ChemPhysChem, 3: 262–269, 2002.
Zaidel-Bar R and Kam Z, Geiger B. Polarized downregulation of the paxillinp130cas-Rac1 pathway induced by shear flow. J Cell Sci, 118: 3997–4007, 2005.
Nicolas A, Safran S A. Limitation of cell adhesion by the elasticity of the extracellular matrix. Biophys J, 91: 61–73, 2006.
Saez A, Buguin A, Silberzan P, et al. Is the mechanical activity of epithelial cells controlled by deformations or forces? Biophys J, 89: L52–L54, 2005.
Schwarz U S. Soft matters in cell adhesion: Rigidity sensing on soft elastic substrates. Soft Matter, 3: 263–266, 2007.
Chan P Y, Lawrence M B, Dustin M L, et al. Influence of receptor lateral mobility on adhesion strengthening between membranes containing Lfa-3 and Cd2. J. Cell Biol, 132: 465–474, 1996.
Atilgan E, Ovryn B. Nucleation and growth of integrin adhesions. Biophys J, 96: 3555–3572, 2009.
Boulbitch A, Guttenberg Z and Sackmann E. Kinetics of membrane adhesion mediated by ligand-receptor interaction studied with a biomimetic system. Biophys J, 81: 2743–2751, 2001.
Freund L B and Lin Y. The role of receptor mobility in spontaneous adhesive contact and implications for cell adhesion. J Mech Phys Solids, 52: 2455–2472, 2004.
Bongrand P and Bell GI. Cell-cell adhesion: Parameters and possible mechanisms. In A Perelson, C DeLisi, F Wiegel eds. Cell Surface Dynamics: Concepts and Models. Marcel Dekker Inc., New York, 459–493, 1984.
Zuckerman D and Bruinsma R. Statistical mechanics of membrane adhesion by reversible molecular bonds. Phys Rev Lett, 74: 3900–3903, 1995.
Bell G I, Dembo M and Bongrand P. Cell adhesion: Competition between nonspecific repulsion and specific bonding. Biophys J, 45: 1051–1064, 1984.
Evans E A. Bending elastic modulus of red blood cell membrane derived from buckling instability in micropipet aspiration tests. Biophys J, 43: 27–30, 1983.
Needham D, Hochmuth R. A sensitive measure of surface stress in the resting neutrophil. Biophys J, 61: 1664–1670, 1992.
Bausch A R, Ziemann F, Boulbitch A A, et al. Local measurements of viscoelastic parameters of adherent cell surfaces by magnetic bead microrheometry. Biophys J, 75: 2038–2049, 1998.
Goffin J M, Pittet P, Csucs G, et al. Focal adhesion size controls tensiondependent recruitment of alpha-smooth muscle actin to stress fibers. J Cell Biol, 172: 259–268, 2006.
Engler A J, Bacakova L, Newman C, et al. Substrate compliance versus ligand density in cell on gel responses. Biophys J, 86: 617–628, 2004.
Schwarz U S and Bischofs I B. Physical determinants of cell organization in soft media. Med Eng Phys, 27: 763–772, 2005.
Torney C, Dembo M and Bell G I. Thermodynamics of cell adhesion II: Freely mobile repellers. Biophys J, 49: 501–507, 1986.
Nicolas A, Geiger B and Safran S A. Cell mechanosensitivity controls the anisotropy of focal adhesions. Proc Natl Acad Sci USA, 101: 12520–12525, 2004
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sarvestani, A.S. (2011). Effect of Substrate Rigidity on the Growth of Nascent Adhesion Sites. In: Li, S., Sun, B. (eds) Advances in Cell Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17590-9_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-17590-9_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17589-3
Online ISBN: 978-3-642-17590-9
eBook Packages: EngineeringEngineering (R0)