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Mathematics of Biology pp 157–200Cite as

Some Stochastic Models in Immunology

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Abstract

Conditional probability arguments and the theory of continuous-time Markov chains are used to develop models for the kinetics of a cell-mediated cytotoxic reaction. While the models are conceptually simple, when fitted to data, they lead to surprising insights into the mechanisms of the immune response. Based on examples and discussion, we demonstrate the potential for creative and relevant application of mathematics within the rapidly developing field of immunology.

This work was performed under the auspices of the United States Department of Energy. A.S.P. is the recipient of an N.I.H. Research Career Development Award 5 K04 AI00450-05.

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Author information

Author notes

  1. Catherine A. Macken

    Present address: Centre for Computing and Biometrics, Lincoln College, Canterbury, New Zealand

Authors and Affiliations

  1. Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos, NM, 87545, USA

    Catherine A. Macken & Alan S. Perelson

Authors
  1. Catherine A. Macken
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  2. Alan S. Perelson
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Editor information

Editors and Affiliations

  1. University of Rome, Italy

    Giorgio Koch

  2. Centre for Mathematics and Computer Science, Amsterdam, The Netherlands

    Michiel Hazewinkel

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© 1985 Springer Science+Business Media Dordrecht

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Macken, C.A., Perelson, A.S. (1985). Some Stochastic Models in Immunology. In: Koch, G., Hazewinkel, M. (eds) Mathematics of Biology. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5426-7_3

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  • DOI: https://doi.org/10.1007/978-94-009-5426-7_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8895-4

  • Online ISBN: 978-94-009-5426-7

  • eBook Packages: Springer Book Archive

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