Abstract
Equations are developed to describe the effects of interaction between antigen and target cell. The model shows promise in predicting the constants of simple experimental systems.
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Davis, D. B., Dulbecco, R., Eisen, H. N., Ginsberg, H. S., and Wood, jun., W. B., Microbiology (Harper and Row, New York, 1967).
Cold Spring Harbor Symp. Quant. Biol., 32 (1967).
Jerne, N. K., Proc. US Nat. Acad. Sci., 41, 849 (1955).
Burnett, F. M., The Clonal Selection Theory of Immunity (Vanderbilt and Cambridge Univ., 1959).
Haber, E., Proc. US Nat. Acad. Sci., 52, 1099 (1964).
Whitney, P. L., and Tanford, C., Proc. US Nat. Acad. Sci., 53, 524 (1965).
Freedman, M. H., and Sela, M., J. Biol. Chem., 241, 5225 (1966).
Mitchison, N. A., Cold Spring Harbor Symp. Quant. Biol., 32, 431 (1967).
Plotz, P. H., Nature, 223, 1374 (1969).
Ling, N. R., Lymphocyte Stimulation (North Holland, Amsterdam, 1968).
Gottlieb, A. A., Glisin, V. R., and Doty, P., Proc. US Nat. Acad. Sci., 57, 1849 (1967).
Talmage, D. W., Radovich, J., and Hemmingsen, H., J. Allergy, 43, 323 (1969).
Richter, M., Proc. US Nat. Acad. Sci., 64, 75 (1969).
Bell, G., J. Theoret. Biol. (in the press).
Eisen, H. N., and Siskind, G., Biochemistry, 3, 996 (1964).
Steiner, L. A., and Eisen, H. N., J. Exp. Med., 126, 1143 (1967).
Eisen, H. N., Little, J. R., Steiner, L. A., Simms, E. S., and Gray, W., Israel J. Med. Sci., 5, 338 (1969).
Jerne, N. K., Cold Spring Harbor Symp. Quant. Biol., 32, 591 (1967).
Ehrich, W. E., in Immunological Diseases (edit. by Samter, M., and Alexander, H. L.) (Little, Brown and Co., 1965).
Mitchison, N. A., Proc. Roy. Soc., B, 161, 275 (1964).
Thorbecke, G. J., and Benacerraf, B., Immunology, 13, 141 (1967).
Koshland, M. E., Davis, J. J., and Fujita, N. J., Proc. US Nat. Acad. Sci., 63, 1276 (1969).
Abdou, N. I., and Richer.M., J. Exp. Med., 130, 141 (1969).
Wigzell, H., and Andersson, J. Exp. Med., 129, 23 (1969).
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BELL, G. Mathematical Model of Clonal Selection and Antibody Production. Nature 228, 739–744 (1970). https://doi.org/10.1038/228739a0
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DOI: https://doi.org/10.1038/228739a0
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