Mar 13, 2010

Interactions between the immune system and cancer: a brief review of non-spatial mathematical models

Bulletin of Mathematical Biology
Raluca EftimieDavid J D Earn

Abstract

We briefly review spatially homogeneous mechanistic mathematical models describing the interactions between a malignant tumor and the immune system. We begin with the simplest (single equation) models for tumor growth and proceed to consider greater immunological detail (and correspondingly more equations) in steps. This approach allows us to clarify the necessity for expanding the complexity of models in order to capture the biological mechanisms we wish to understand. We conclude by discussing some unsolved problems in the mathematical modeling of cancer-immune system interactions.

  • References74
  • Citations52

References

Mentioned in this Paper

Immune System
Stochastic Processes
Cancer Microenvironment
Chemokine
Cytokine
Macrophage
CD4 Positive T Lymphocytes
Tumor Growth
Malignant Neoplasms
Entire Immune System

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