Cross-linking reconsidered: Binding and cross-linking fields and the cellular response

Biophysical Journal

Volumn 70, Issue 3, 1996, Pages 1154-1168

  Sulzer, Bernhard ^a   De Boer, Rob J ^b   Perelson, Alan S ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ANTISERUM; CELL SURFACE RECEPTOR; LIGAND; MONOCLONAL ANTIBODY; POLYCLONAL ANTIBODY;

ARTICLE; B LYMPHOCYTE; BINDING AFFINITY; CELL PROLIFERATION; CROSS LINKING; DISSOCIATION CONSTANT; EQUILIBRIUM CONSTANT; LIGAND BINDING; RECEPTOR AFFINITY; RECEPTOR DENSITY;

EID: 0030040480     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(96)79676-5     Document Type: Article

References (60)

1. Becker, K. E., T. Ishizaka, H. Metzger, K. Ishizaka, and P. M. Grimley. 1973. Surface IgE on human basophils during histamine release. J. Exp. Med. 138:394-409.
2. Bell, G. I. 1974. Model for the binding of multivalent antigen to cells. Nature. 248:430-431.
3. Braun, J., and E. R. Unanue. 1980. B lymphocyte biology studied with anti-Ig antibodies. Immunol. Rev. 52:3-28.
4. Cambier, J. C., C. M. Pleiman, and M. R. Clark. 1994. Signal transduction by the B cell antigen receptor and its coreceptors Annu. Rev. Immunol. 12:457-486.
5. Cambier, J C., and J. T. Ransom. 1987. Molecular mechanisms of trans-membrane signaling in B lymphocytes. Annu. Rev. Immunol. 5:175-197.
6. Carter, R. H., and D. T. Fearon. 1992. CD19: lowering the threshold for antigen-receptor stimulation of B lymphocytes. Science. 256:105-107.
7. Celada, F. 1971. The cellular basis of immunologic memory. Prog. Allergy. 14:223-267.
8. De Boer, R. J. 1988. Symmetric idiotypic network: connectance and switching, stability, and suppression. In Theoretical Immunology, Part Two. Vol. III of SFI Studies in the Science of Complexity. A. S. Perelson, editor. Addison-Wesley, Redwood City, CA. 265-289.
9. De Boer, R. J., M. C. Boerlijst, B. Sulzer, and A. S. Perelson. 1996. A new bell-shaped function for idiotypic interactions based upon crosslinking. Bull. Math. Biol. In press.
10. De Boer, R. J., and P. Hogeweg. 1989. Idiotypic network models incorporating T-B cell cooperation: the conditions for percolation. J. Theor. Biol. 139:17-38.
11. De Boer, R. J., A. U. Neumann. A. S. Perelson, L. A. Segel, and G. Weisbuch. 1992. Recent approaches to immune networks. In Proceedings of the First European Biomathematics Conference. V. Capasso and P. Demongeot, editors. Springer, Berlin 243-261.
12. DeLisi, C., and A. S. Perelson. 1976. The kinetics of aggregation phenomena. I. Minimal models for patch formation on lymphocyte membranes. J. Theor. Biol. 62:159-210.
13. Dembo, M., and B. Goldstein. 1978. Theory of equilibrium binding of symmetric bivalent haptens to cell surface antibody. application to histamine release from basophils. J. Immunol. 121:345-353.
14. Dembo, M., and B. Goldstein. 1980. A model of cell activation and desensitization by surface immunoglobulin: the case of histamine release from human basophils Cell. 22:59-67.
15. Dembo, M , B. Goldstein, A. K. Sobotka, and L. M. Lichtenstein. 1978. Histamine release due to bivalent penicilloyl haptens: control by the number of cross-linked IgE antibodies on the basophil plasma membrane. J. Immunol 121:354-358.
16. Dintzis, H. M., R. Z. Dintzis, and B. Vogelstein. 1976. Molecular determinants of immunogenicity: the immunon model of immune response. Proc. Natl. Acad. Sci. USA. 73:3671-3675.
17. Dower, S. K., J. A Titus, and D. M. Segal. 1984. 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, editors. Marcel Dekker, New York. 277-328.
18. Dwyer, J. D., and V. A. Bloomfield. 1981 Binding of multivalent ligands to mobile receptors in membranes. Biopolymers. 20:2323-2336.
19. Eisen, H., and G. W. Siskind. 1964. Variation in affinities of antibodies during the immune response. Biochemistry. 3:996-1008.
20. Erickson, J., R. Posner, B. Goldstein, D. Holowka, and B. Baird. 1991. Analysis of ligand binding and cross-linking of receptors in solution and on cell surfaces. Immunoglobulin E as a model receptor. In Biophysical and Biochemical Aspects of Fluorescence Spectroscopy. F. G. Dewey, editor. Plenum, New York. 169-195.
21. Faro, J., and S. Velasco. 1993. Crosslinking of membrane immunoglobulins and B-cell activation: a simple model based on percolation theory. Proc. R. Soc. Lond. B. 254:139-145.
22. Faro, J., and S. Velasco. 1994. Numerical analysis of a model of ligand-induced B-cell antigen-receptor clustering. Implications for simple models of B-cell activation in an immune network. J. Theor. Biol. 167:45-53.
23. Finkelman, F. D., J. M. Holmes, O. I. Dukhama, and S. C. Morris. 1995. Cross-linking of membrane immunoglobulin D, in the absence of T cell help, kills mature B cells in vivo. J. Exp. Med 181:515-525.
24. + T cell clones and IL-4 induce IgG4 and IgE switching in purified human B cells via different signaling pathways. J. Immunol. 147:8-13.
25. Goldstein, B. 1988. Desensitization, histamine release and the aggregation of IgE on human basophiles. In Theoretical Immunology, Part Two. Vol. III of SFI Studies in the Science of Complexity. A. S. Perelson, editor. Addison-Wesley, Redwood City, CA. 3-40.
26. Goldstein, B , and C. Wofsy. 1994. Aggregation of cell surface receptors. Lectures Math. Life Sci. 24:109-135.
27. Goroff, D. K., J. M. Holmes, H. Bazin, F. Nisol, and F. D. Finkelman. 1991. Polyclonal activation of the murine immune system by an antibody to IgD. XI. Contribution of membrane IgD cross-linking to the generation of an in vivo polyclonal antibody response. J. Immunol. 146:18-25.
28. Jonsson, J. I., and K. Eichmann. 1990. Anti-CD4 modifies the kinetics but not the magnitude of anti-CD3-induced interleukin 2 production in peripheral T cells. Eur. J Immunol. 20:1611-1614
29. Klinman, N. R. 1972. The mechanism of antigenic stimulation of primary and secondary clonal precursor cells. J. Exp. Med. 136:241-260.
30. MacGlashan, D. W. J. 1983. Qualitative differences between dimeric and trimeric stimulation of human basophils. J. Immunol. 130:4-6.
31. MacGlashan, D. W. J., S. P. Peters, J. Warner, and L. M. Lichtenstein. 1986. Characteristics of human basophils sulfidopeptide leukotriene release: releasability defined as the ability of the basophil to respond to dimeric cross-links. J. Immunol. 136:2231-2239.
32. Macken, C. A., and A. S. Perelson. 1985. Branching Processes Applied to Cell Surface Aggregation Phenomena. Vol. 58 of Lecture Notes in Biomathematics. Springer Verlag, New York.
33. Magro, A. M., and A. Alexander. 1974. Histamine release: in vitro studies of the inhibitory region of the dose-response curve. J. Immunol 112: 1762-1765.
34. Metzger, H. 1992. Transmembrane signaling: the joy of aggregation. J. Immunol 149:1477-1487
35. Mongini, P. K. A., C A Blessinger, and J P. Dalton. 1991. Affinity requirements for induction of sequential phases of human B cell activation by membrane IgM-cross-linking ligands. J. Immunol. 146:1791-1800.
36. Monroe, J. G., and J. Cambier. 1983. B cell activation. I. Anti-immunoglobulin-induced receptor cross-linking results in a decrease in the plasme membrane potential of murine B lymphocytes. J Exp. Med. 157:2073-2086.
37. Morel, P., J. P. Revillard, J. F. Nicolas, J Wijdenes, H. Rizova, and J. Thivolet. 1992. Anti-CD4 monoclonal antibody therapy in severe psoriasis. J. Autoimmun. 5:465-477.
38. Paul, W. E., editor. 1993. Fundamental Immunology, 3rd ed. Raven Press, New York.
39. Pecht. I., and D. Lancet. 1977. Kinetics of antibody-hapten interactions. In Chemical Relaxation in Molecular Biology. I. Pecht and R. Rigler, editors. Springer, New York. 306-338.
40. Perelson, A. S. 1980 Receptor clustering on a cell surface. II. Theory of receptor cross-linking by ligands bearing two chemically distinct functional groups. Math. Biosci. 49.87-110.
41. Perelson, A. S 1981. Receptor clustering on a cell surface. III. Theory of receptor cross-linking by multivalent ligands: description by ligand states. Math. Biosci. 53.1-39.
42. Perelson, A. S. 1984. Some mathematical models of receptor clustering by multivalent ligands. In Cell Surface Dynamics: Concepts and Models. A. S. Perelson, C. DeLisi, and F. W. Wiesel, editors Marcel Dekker, New York. 223-275.
43. Perelson, A. S., and C. DeLisi. 1980. 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.
44. Perelson, A. S., C. DeLisi, and R. Siraganian. 1982. A method for determining whether the descending limb of a biphasic histamine release curve reflects insufficient crosslinking. Mol. Immunol. 19:13-20.
45. Perelson, A. S., B. Goldstein, and S. Rocklin. 1980. Optimal strategies in immunology. Part III. The IgM-IgG switch. J. Math. Biol. 10:209-256.
46. Posner, R. G., C. Wofsy, and B. Goldstein. 1995. The kinetics of bivalent ligand-bivalent receptor aggregation: ring formation and the breakdown of the equivalent site approximation. Math. Biosci. 126:171-190.
47. Puré, E., and L. Tardelli. 1992. Tyrosine phosphorylation is required for ligand-induced internalization of the antigen receptor on B lymphocytes. Proc. Natl. Acad. Sci. USA. 89:114-117.
48. Reynolds, J. A. 1979. Interaction of divalent antibody with cell surface antigens. Biochemistry. 18:264-269.
49. Riley, R. L., and N. R. Klinman. 1986. The affinity threshold for antigenic triggering differs for tolerance-susceptible immature precursors vs mature primary B cells. J. Immunol. 136:3147-3154.
50. Rudich, S. M., K. H. Roux, R. J. Winchester, and P. K. A. Mongini. 1988. Anti-IgM-mediated B cell signaling. Molecular analysis of ligand binding requisites for human B cell clonal expansion and tolerance. J. Exp. Med. 168:247-266.
51. Shizuru, J. A., S. E. Alters, and C. G. Fathman. 1992. Anti-CD4 monoclonal antibodies in therapy: creation of nonclassical tolerance in the adult. Immunol. Rev. 129:105-130.
52. Strand, F. L. 1978. Physiology. New York.
53. Sulzer, B., A. U. Neumann. J. L. van Hemmen, and U. Behn. 1993. Memory in idiotypic networks due to competition between proliferation and differentiation. Bull. Math. Biol. 55:1133-1182.
54. Sulzer, B., and A. S. Perelson. 1996. Binding of multivalent ligands to cells: effects of cell and receptor density. Math. Biosci. In press.
55. Teale, J. M., and N. R. Klinman. 1980. Tolerance as an active process. Nature. 288:385-387.
56. Varela, F., A. Coutinho, B. Dupire, and N. M. Vaz. 1988. Cognitive networks: immune, neural and otherwise. In Theoretical Immunology, Part Two. Vol. III of SFI Studies in the Science of Complexity. A. S. Perelson, editor. Addison-Wesley, Redwood City, CA. 359-374.
57. Varela, F. J., and J Stewart. 1990. Dynamics of a class of immune networks: global stability of idiotype interactions. J. Theor. Biol. 144:93-101.
58. Weisbuch, G., R. J. De Boer, and A. S. Perelson. 1990. Localized memory in idiotypic networks. J Theor. Biol. 144:483-499.
59. Wofsy, C., and B. Goldstein. 1987. The effect of co-operativity on the equilibrium binding of symmetric bivalent ligands to antibodies: theoretical results with application to histamine release from basophils. Mol. Immunol. 24:151-161.
60. Zhang, J., I. MacLennan, Y.-J. Liu, and P. Lane. 1988. Is rapid proliferation in B centroblasts linked to somatic mutation in memory B cell clones? Immunol. Lett. 18:297-300.