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Mathematical Biosciences and Engineering

2007, Volume 4, Issue 3: 531-552. doi: 10.3934/mbe.2007.4.531
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Realization of immune response features by dynamical system models

  • 1.
    Graduate School of Humanities and Sciences, Nara Women's University, Kitauoyahigashi-machi, Nara 630-8506
  • 2.
    In-Silico Sciences, Inc., Tokyo 145-0065
  • Received: 01 May 2006 Accepted: 29 June 2018 Published: 01 May 2007

  • MSC : 37N25.

  • Among the features of real immune responses that occur when antigens invade a body are two remarkable features. One is that the number of antibodies produced in the secondary invasion by identical antigens is more than 10 times larger than in the primary invasion. The other is that more effective antibodies, which are produced by somatic hypermutation during the immune response, can neutralize the antigens more quickly. This phenomenon is called ''affinity maturation''.
        In this paper, we try to reproduce these features by dynamical system models and present possible factors to realize them. Further, we present a model in which the memory of the antigen invasion is realized without immune memory cells.

    Citation: Mika Yoshida, Kinji Fuchikami, Tatsuya Uezu. Realization of immune response features by dynamical system models[J]. Mathematical Biosciences and Engineering, 2007, 4(3): 531-552. doi: 10.3934/mbe.2007.4.531

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  • Among the features of real immune responses that occur when antigens invade a body are two remarkable features. One is that the number of antibodies produced in the secondary invasion by identical antigens is more than 10 times larger than in the primary invasion. The other is that more effective antibodies, which are produced by somatic hypermutation during the immune response, can neutralize the antigens more quickly. This phenomenon is called ''affinity maturation''.
        In this paper, we try to reproduce these features by dynamical system models and present possible factors to realize them. Further, we present a model in which the memory of the antigen invasion is realized without immune memory cells.


  • This article has been cited by:

    1. Niels J. M. Verstegen, Victor Ubels, Hans V. Westerhoff, S. Marieke van Ham, Matteo Barberis, System-Level Scenarios for the Elucidation of T Cell-Mediated Germinal Center B Cell Differentiation, 2021, 12, 1664-3224, 10.3389/fimmu.2021.734282
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  • © 2007 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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