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

  • V. A. Kuznetsov
Part of the Modeling and Simulation in Science, Engineering, & Technology book series (MSSET)


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.


Natural Killer Natural Killer Cell Human Natural Killer Cell Multicellular Tumor Spheroid Cytotoxic Reaction 
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

  • V. A. Kuznetsov
    • 1
  1. 1.Division of Cellular and Gene Therapies Laboratory of Molecular Tumor BiologyCenter for Biologics Research and Evaluation, FDABethesdaUSA

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