Equilibrium binding of multivalent ligands to cells: Effects of cell and receptor density

Mathematical Biosciences

Volumn 135, Issue 2, 1996, Pages 147-185

  Sulzer, Bernhard ^a   Perelson, Alan S ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CELL SURFACE RECEPTOR;

ARTICLE; CALCULATION; CELL DENSITY; CELL SURFACE; LIGAND BINDING; MATHEMATICAL ANALYSIS; RECEPTOR BINDING; RECEPTOR DENSITY;

EID: 0030586127     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/0025-5564(96)00022-3     Document Type: Article

References (37)

1. 1 J. C. Cambier and J. T. Ransom, Molecular mechanisms of transmembrane signaling in B lymphocytes, Ann. Rev. Immunol. 5:175-197 (1987).
2. 2 J. Kaye, S. Porcelli, J. Tite, B. Jones, and C. A. Janeway, Jr., Both a monoclonal antibody and antisera specific for determinants unique to individual cloned helper T cell lines can substitute for antigen and antigen-presenting cells in the activation of T cells, J. Exp. Med. 158:836-856 (1983).
3. 3 J. Kaye and C. A. Janeway, Jr., The Fab fragment of a directly activating monoclonal antibody that precipitates a disulfide-linked heterodimer from a helper T cell clone blocks activation by either allogeneic Ia or antigen and self-Ia, J. Exp. Med. 159:1397-1412 (1984).
4. 4 C. Fewtrell and H. Metzger, Larger oligomers of IgE are more effective than dimers in stimulating rat basophilic leukemia cells, J. Immunol. 125:701-710 (1980).
5. 5 H. M. Dintzis, R. Z. Dintzis, and B. Vogelstein, Molecular determinants of immunogenicity: the immunon model of immune response, Proc. Natl. Acad. Sci. USA 73:3671-3675 (1976).
6. 6 R. Z. Dintzis, M. H. Middleton, and H. M. Dintzis, Studies on the immunogenicity and tolerogenicity of T-independent antigens, J. Immunol. 131:2196-2203 (1983).
7. 7 N. E. Phillips and D. C. Parker, Fc-Dependent inhibition of mouse B cell activation by whole anti-μ antibodies, J. Immunol. 130:602-606 (1983).
8. 8 N. E. Phillips and D. C. Parker, Cross-linking of B lymphocyte Fcγ receptors and membrane immunoglobulin inhibits anti-immunoglobulin-induced blastogenesis, J. Immunol. 132:627-632 (1984).
9. γ receptors and surface antibodies, J. Immunol. 145:1814-1825 (1990).
10. 10 A. S. Perelson and C. DeLisi, Receptor clustering on a cell surface. I. Theory of receptor cross-linking by ligands bearing two chemically identical functional groups, Math. Biosci. 48:71-110 (1980).
11. 11 D. M. Segal, J. D. Taurog, and H. Metzger, Dimeric immunoglobulin E serves as a unit signal for mast cell degranulation, Proc. Natl. Acad. Sci. USA 74:2993-2997 (1977).
12. 12 A. Kagey-Sobotka, M. Dembo, B. Goldstein, H. Metzger, and L. M. Lichtenstein, Qualitative characteristics of histamine release from human basophils by covalently cross-linked IgE, J. Immunol. 127:2285-2291 (1981).
13. 13 S. K. Dower, C. DeLisi, J. A. Titus, and D. M. Segal, Mechanism of binding of multivalent immune complexes to Fc receptors. I. Equilibrium bindings, Biochemistry 20:6326-6334 (1981).
14. 14 S. K. Dower, J. A. Titus, and D. M. Segal, The binding of multivalent ligands to cell surface receptors, in Cell Surface Dynamics: Concepts and Models, A. S. Perelson, C. DeLisi, and F. W. Wiegel, Eds., Marcel Dekker, New York, 1984, pp. 277-328.
15. 15 M. Dembo, A. Kagey-Sobotka, L. M. Lichtenstein, and B. Goldstein, Kinetic analysis of histamine release due to covalently linked IgE dimers, Mol. Immunol. 19:421-434 (1982).
16. 16 U. M. Kent, S.-Y. Mao, C. Wofsy, B. Goldstein, S. Ross, and H. Metzger, Dynamics of signal transduction after aggregation of cell-surface receptors: studies on the type I receptor for IgE, Proc. Natl. Acad. Sci. USA 91:3087-3091 (1994).
17. 17 R. G. Posner, C. Wofsy, and B. Goldstein, The kinetics of bivalent ligand-bivalent receptor aggregation: ring formation and the breakdown of the equivalent site approximation, Math. Biosci. 126:171-190 (1995).
18. 18 A. S. Perelson, Receptor clustering on a cell surface. III. Theory of receptor cross-linking by multivalent ligands: description by ligand states, Math. Biosci. 53:1-39 (1981).
19. 19 A. S. Perelson, Some mathematical models of receptor clustering by multivalent ligands, in Cell Surface Dynamics: Concepts and Models, A. S. Perelson, C. DeLisi, and F. W. Wiegel, Eds., Marcel Dekker, New York, 1984, pp. 223-275.
20. 20 J. B. Miale, Laboratory Medicine: Hematology, 6th ed., Mosby, St. Louis, MO, 1982.
21. 21 F. L. Strand, Physiology, Macmillan, New York, 1978.
22. 22 M. Dembo and B. Goldstein, Theory of equilibrium binding of symmetric bivalent haptens to cell surface antibody: application to histamine release from basophils, J. Immunol. 121:345-353 (1978).
23. 23 E. Puré and L. Tardelli, Tyrosine phosphorylation is required for ligand-induced internalization of the antigen receptor on B lymphocytes, Proc. Natl. Acad. Sci. USA 89:114-117 (1992).
24. 24 A. Gandolfi, M. A. Giovenco, and R. Strom, Reversible binding of multivalent antigen in the control of B lymphocyte activation, J. Theor. Biol. 74:513-521 (1978).
25. 25 B. Volgelstein, R. Z. Dintzis, and H. M. Dintzis, Specific cellular stimulation in the primary immune response: a quantized model, Proc. Natl. Acad. Sci. USA 79:395-399 (1982).
26. 26 C. A. Macken and A. S. Perelson, Branching Processes Applied to Cell Surface Aggregation Phenomena (Lect. Notes Biomath. 58), Springer, New York, 1985.
27. 27 J. V. Ravetch and J. P. Kinet, Fc receptors, Annu. Rev. Immunol. 9:457-492 (1991).
28. 28 P. M. Guyre, P. M. Morganelli, and R. Miller, Recombinant immune interferon increases immunoglobulin G Fc receptors on cultured human mononuclear phagocytes, J. Chin. Invest. 72:393-397 (1983).
29. 29 J. G. J. van de Winkel and P. J. A. Capel, Human IgG Fc receptor heterogeneity: molecular aspects and clinical implications, Immunol. Today 14:215-221 (1993).
30. + CTL, Mol. Immunol. 31:1285-1293 (1994).
31. 31 S. Kageyama, T. J. Tsomides, Y. Sykulev, and H. N. Eisen, Variations in the number of peptide-MHC class I complexes required to activate cytotoxic T cell responses, J. Immunol. 154:567-576 (1995).
32. 32 F. Karush, The affinity of antibody: range, variability, and the role of multivalence, in Immunoglobulins (Compr. Immunol. 5), G. W. Litman and R. A. Goods, Eds., Plenum, New York, 1978, pp. 85-116.
33. 33 D. A. Lauffenburger and J. J. Linderman, Receptors, Oxford Univ. Press, New York, 1993.
34. 34 C. Wofsy and B. Goldstein, Interpretation of Scatchard plots for aggregating receptor systems, Math. Biosci. 112:115-154 (1992).
35. 35 W. E. Paul, Ed., Fundamental Immunology, 3rd ed., Raven, New York, 1993.
36. 36 U. Rutishauser, C. F. Millette, and G. M. Edelman, Specific fractionation of immune cell populations, Proc. Natl. Acad. Sci. USA 69:1596-1600 (1972).
37. 37 C. DeLisi and A. S. Perelson, The kinetics of aggregation phenomena. I. Minimal models for patch formation on lymphocyte membranes, J. Thoer. Biol. 62:159-210 (1976).