Mathematical Models for Immunology: Current State of the Art and Future Research Directions

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 im...

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Bibliographic Details
Published in:Bulletin of mathematical biology 2016-10, Vol.78 (10), p.2091-2134
Main Authors: Eftimie, Raluca, Gillard, Joseph J., Cantrell, Doreen A.
Format: Article
Language:English
Subjects:
Adaptive Immunity
Allergy and Immunology - trends
Animals
B-Lymphocytes - immunology
Cell Biology
Dendritic Cells - immunology
Humans
Immunity, Innate
Life Sciences
Mathematical and Computational Biology
Mathematical Concepts
Mathematics
Mathematics and Statistics
Models, Immunological
Research - trends
Review
Review Article
T-Lymphocytes - immunology
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Summary: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.
ISSN:0092-8240
1522-9602
DOI:10.1007/s11538-016-0214-9