B. Sulzer et As. Perelson, EQUILIBRIUM BINDING OF MULTIVALENT LIGANDS TO CELLS - EFFECTS OF CELLAND RECEPTOR DENSITY, Mathematical biosciences, 135(2), 1996, pp. 147-185
We study the equilibrium binding properties of multivalent ligands to
cell surface receptors. We examine the effects of cell density and num
ber of receptors per cell, that is, receptor concentration, on ligand
binding. These parameters can significantly affect the formation of re
ceptor aggregates and cross-links. We then use our general results to
show that ligand-induced cell proliferation may be self-limiting, sinc
e ligand depletion reduces the signal received by individual cells onc
e the cell population has expanded. We discuss the concept of avidity
and show its limitations. As a specific example, we examine the bindin
g of haptenated polymers to B cells and reinterpret experiments relate
d to the immunon theory of B-cell activation.