1983
DOI: 10.1016/s0006-3495(83)84330-6
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The effect of receptor clustering on diffusion-limited forward rate constants

Abstract: The effect of receptor clustering on the diffusion-limited forward rate constant (k+) is studied theoretically by modeling cell surface receptors by hemispheres distributed on a plane. We give both exact results and bounds. The exact results are obtained using an electrostatic analogue and applying the method of the images. Accurate upper bounds on k+ are found from a variational principle.

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Cited by 32 publications
(16 citation statements)
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References 9 publications
(14 reference statements)
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“…Second, if the rafts are of the same or similar size as the virus particle, then virus particle binding to a raft-associated receptor can block the remaining free receptors in the raft from binding other virus particles. Our findings here for viral particle binding are consistent with earlier models that have shown how receptor clustering can reduce the rate of ligand binding to the cell surface (Goldstein and Wiegel, 1983;van Opheusden et al, 1984). Such inhibitory effects of receptor clustering on ligand binding provide a mechanism for understanding why the association of epidermal growth factor receptor (EGFR) with lipid rafts decreased EGF binding to the receptor (Lim and Yin, 2005;Roepstorff et al, 2002).…”
Section: Raft-mediated Receptor Clustering Inhibits Hiv-1 Bindingsupporting
confidence: 90%
“…Second, if the rafts are of the same or similar size as the virus particle, then virus particle binding to a raft-associated receptor can block the remaining free receptors in the raft from binding other virus particles. Our findings here for viral particle binding are consistent with earlier models that have shown how receptor clustering can reduce the rate of ligand binding to the cell surface (Goldstein and Wiegel, 1983;van Opheusden et al, 1984). Such inhibitory effects of receptor clustering on ligand binding provide a mechanism for understanding why the association of epidermal growth factor receptor (EGFR) with lipid rafts decreased EGF binding to the receptor (Lim and Yin, 2005;Roepstorff et al, 2002).…”
Section: Raft-mediated Receptor Clustering Inhibits Hiv-1 Bindingsupporting
confidence: 90%
“…Thus. these expressions are valid for arbitrary surface geometry of the cell and its receptors_ In this sense this paper forms a generalisation of the work of Goldstein and Wiegel [3].…”
mentioning
confidence: 81%
“…where l 0 is the permittivity of a vacuum [1,3]. The extra factor of 2 appears because for J we are concerned only with the receptors, while C includes their mirror images.…”
Section: J=jz=2jo-jmentioning
confidence: 99%
“…The forward and reverse rate constants for binding to clustered receptors will be reduced compared to the rate constants for binding to non clustered receptors, although the equilibrium constants will be unaltered (Goldstein and Weigel, 1983). In terms of the parameters shown in Figure 8, in the diffusion At 37°C a bound ligand can leave the cell surface not only by dissociating from the receptor, but also by being internalized with it.…”
Section: The Interaction Of Ligands With Receptorsmentioning
confidence: 99%