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Tumor Immune System Interactions: The Kinetic Cellular Theory

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A Survey of Models for Tumor-Immune System Dynamics

Abstract

The growth of a tumor and its relationships with the host environment are complex events that kinetically mutate during tumor progression. Several aspects of these interactions and their dynamical evolution can be modeled through equations that take into account a few key variables related to microscopic interacting populations: tumor, host, immune cells, cytokine signals.

This paper provides a review of the state of the art on the so called kinetic (cellular) theory. The development of the modeling starts from observation of the phenomenological behavior of the system and, in particular, of the cell populations and their cellular interactions. This analysis is followed by derivation of the evolution equations in the framework of nonequilibrium statistical mechanics. The following step is the development of simulation and validation techniques, which has to be related to the experimental activity in the field. The final part of the survey provides a critical analysis of this type of methodological approach and of its conceivable developments, which may hopefully contribute to medical research addressed to the competition against tumor aggression.

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Authors and Affiliations

  1. Department of Mathematics, Politecnico of Torino, Torino, Italy

    N. Bellomo & L. Preziosi

  2. Department of Clinical and Biological Sciences, University of Torino, Orbassano, Italy

    G. Forni

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  1. N. Bellomo
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  2. L. Preziosi
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  3. G. Forni
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Editors and Affiliations

  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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Bellomo, N., Preziosi, L., Forni, G. (1997). Tumor Immune System Interactions: The Kinetic Cellular Theory. 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_4

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  • DOI: https://doi.org/10.1007/978-0-8176-8119-7_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6408-8

  • Online ISBN: 978-0-8176-8119-7

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