Abstract
Using the continuous shape space formalism, we develop an immune system model involving both B lymphocytes and antibody molecules. The binding and cross-linking of receptors on B cells stimulates the cells to divide and, with a lag, to secrete antibody. Using the method of multiple scales, we show how to correctly formulate long-time-scale equations for the population dynamics of B cells, the total antibody concentration, and rate of antibody secretion. We compare our model with previous phenomenological formulations.
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Segel, L.A., Perelson, A.S. Exploiting the diversity of time scales in the immune system: A B-cell antibody model. J Stat Phys 63, 1113–1131 (1991). https://doi.org/10.1007/BF01030002
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DOI: https://doi.org/10.1007/BF01030002