Mathematical models for immunology: current state of the art and future research directions

Raluca Eftimie (Lead / Corresponding author), Joseph J. Gillard, Doreen A. Cantrell

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114 Citations (Scopus)
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The advances in genetics and biochemistry that have taken place over the last 10 years led to significant advances in experimental and clinical immunology. In turn, this has led to the development of new mathematical models to investigate qualitatively and quantitatively various open questions in immunology. In this study we present a review of some research areas in mathematical immunology that evolved over the last 10 years. To this end, we take a step-by-step approach in discussing a range of models derived to study the dynamics of both the innate and immune responses at the molecular, cellular and tissue scales. To emphasise the use of mathematics in modelling in this area, we also review some of the mathematical tools used to investigate these models. Finally, we discuss some future trends in both experimental immunology and mathematical immunology for the upcoming years.
Original languageEnglish
Pages (from-to)2091-2134
Number of pages44
JournalBulletin of Mathematical Biology
Issue number10
Early online date6 Oct 2016
Publication statusPublished - Oct 2016


  • Mathematical immunology
  • Advances since 2006 and future trends
  • Innate and adaptive immunity
  • Multiscale interactions


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