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Basic Models of Tumor-Immune System Interactions Identification, Analysis and Predictions

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A Survey of Models for Tumor-Immune System Dynamics

Abstract

The purpose of this chapter is to consider the basic mathematical models of the interaction of cytotoxic cells and effector molecules of the immune system with tumor cells at the effector stage of an anti-tumor immune response. The logic and design lines of some models relevant for tumor immunology will be reviewed and discussed. Special attention is given to validation problems. Mathematical models of the kinetics of interaction of natural killer cells, lymphokine-activated killer cells, cytotoxic T lymphocytes and tumor will be discussed in detail. Some models of the regulation of cellular cytolytic reactions by nonkiller immune cells and by regulatory immune molecules (antibodies, lectins) will be presented. Predictions of kinetic models by a new theoretical concept describing the recognition of target cells without any specific NK-receptor by NK-like cells will been described. Mathematical models of the propagation and interaction of tumorspecific immune molecules (monoclonal antibodies, cytokines) with tumor cells in multicellular tumors are used for analysis of restriction mechanisms for delivering the toxic factor into a solid tumor.

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Authors and Affiliations

  1. Division of Cellular and Gene Therapies Laboratory of Molecular Tumor Biology, Center for Biologics Research and Evaluation, FDA, Bethesda, MD, USA

    V. A. Kuznetsov

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  1. Department of Mathematics, Old Dominion University, Norfolk, Virginia, 23529-0077, USA

    John A. Adam

  2. Dipartimento di Matematica, Politecnico di Torino, 10129, Torino, Italy

    Nicola Bellomo

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© 1997 Springer Science+Business Media New York

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Kuznetsov, V.A. (1997). Basic Models of Tumor-Immune System Interactions Identification, Analysis and Predictions. In: Adam, J.A., Bellomo, N. (eds) A Survey of Models for Tumor-Immune System Dynamics. Modeling and Simulation in Science, Engineering, & Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8119-7_6

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  • DOI: https://doi.org/10.1007/978-0-8176-8119-7_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6408-8

  • Online ISBN: 978-0-8176-8119-7

  • eBook Packages: Springer Book Archive

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