Impact of receptor-ligand distance on adhesion cluster stability

Cells in multicellular organisms adhere to the extracellular matrix through two-dimensional clusters spanning a size range from very few to thousands of adhesion bonds. For many common receptor-ligand systems, the ligands are tethered to a surface via polymeric spacers with finite binding range, thu...

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Hauptverfasser: Erdmann, Thorsten (VerfasserIn) , Schwarz, Ulrich S. (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 09 March 2007
In: The European physical journal. E, Soft matter
Year: 2007, Jahrgang: 22, Heft: 2, Pages: 123-137
ISSN:1292-895X
DOI:10.1140/epje/e2007-00019-8
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1140/epje/e2007-00019-8
Verlag, Volltext: https://link.springer.com/article/10.1140/epje/e2007-00019-8
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Verfasserangaben:T. Erdmann and U.S. Schwarz

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520 |a Cells in multicellular organisms adhere to the extracellular matrix through two-dimensional clusters spanning a size range from very few to thousands of adhesion bonds. For many common receptor-ligand systems, the ligands are tethered to a surface via polymeric spacers with finite binding range, thus adhesion cluster stability crucially depends on receptor-ligand distance. We introduce a one-step master equation which incorporates the effect of cooperative binding through a finite number of polymeric ligand tethers. We also derive Fokker-Planck and mean field equations as continuum limits of the master equation. Polymers are modeled either as harmonic springs or as worm-like chains. In both cases, we find bistability between bound and unbound states for intermediate values of receptor-ligand distance and calculate the corresponding switching times. For small cluster sizes, stochastic effects destabilize the clusters at large separation, as shown by a detailed analysis of the stochastic potential resulting from the Fokker-Planck equation. 
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