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Interactions Between the Immune System and Cancer

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

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Original languageEnglish
Pages2-32
Number of pages31
JournalBulletin of Mathematical Biology
Journal publication dateJan 2011
Journal number1
Volume73
DOIs
StatePublished

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.

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