Tumor Immune System Interactions: The Kinetic Cellular Theory

  • N. Bellomo
  • L. Preziosi
  • G. Forni
Part of the Modeling and Simulation in Science, Engineering, & Technology book series (MSSET)


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.


Immune Cell Host Environment Active Immune System Active Immune Cell Nonequilibrium Statistical Mechanic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • N. Bellomo
    • 1
  • L. Preziosi
    • 1
  • G. Forni
    • 2
  1. 1.Department of MathematicsPolitecnico of TorinoTorinoItaly
  2. 2.Department of Clinical and Biological SciencesUniversity of TorinoOrbassanoItaly

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