Exploiting the diversity of time scales in the immune system: A B-cell antibody model |
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Authors: | Lee A. Segel Alan S. Perelson |
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Affiliation: | (1) Department of Applied Mathematics and Computer Science, Weizmann Institute, IL-76100 Rehovot, Israel;(2) Theoretical Biology and Biophysics, Theoretical Division, Los Alamos National Laboratory, 87545 Los Alamos, New Mexico |
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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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Keywords: | Immune system modeling shape space |
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