Interactions Between the Immune System and Cancer: A Brief Review of Non-spatial Mathematical Models

Raluca Eftimie, Jonathan L. Bramson, David J. D. Earn

    Research output: Contribution to journalReview articlepeer-review

    225 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)2-32
    Number of pages31
    JournalBulletin of Mathematical Biology
    Issue number1
    Publication statusPublished - Jan 2011

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