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

Raluca Eftimie; Joseph J. Gillard; Doreen A. Cantrell

doi:10.1007/s11538-016-0214-9

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

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

Research output: Contribution to journal › Review article › peer-review

125 Citations (Scopus)

315 Downloads (Pure)

Abstract

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 language	English
Pages (from-to)	2091-2134
Number of pages	44
Journal	Bulletin of Mathematical Biology
Volume	78
Issue number	10
Early online date	6 Oct 2016
DOIs	https://doi.org/10.1007/s11538-016-0214-9
Publication status	Published - Oct 2016

Keywords

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

Access to Document

10.1007/s11538-016-0214-9Licence: CC BY

Final Published Version
© The Author(s) 2016. Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Final published version, 1.18 MBLicence: CC BY

Mathematical Investigation into the Role of Cell-cell Communication Pathways on Collective Cell Migration (First Grant Scheme)
Eftimie, R. (Investigator)
Engineering and Physical Sciences Research Council
1/11/13 → 31/10/15
Project: Research

Cite this

@article{5f83b5de87ca48fe9b7d5edfa9642044,

title = "Mathematical models for immunology: current state of the art and future research directions",

abstract = "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.",

keywords = "Mathematical immunology, Advances since 2006 and future trends, Innate and adaptive immunity, Multiscale interactions",

author = "Raluca Eftimie and Gillard, {Joseph J.} and Cantrell, {Doreen A.}",

note = "Funding for this work was provided by the UK Ministry of Defence under contract DSTLX-1000097390. In addition, R.E. would like to acknowledge an Engineering and Physical Sciences Research Council (UK) First Grant (EP/K033689/1).",

year = "2016",

month = oct,

doi = "10.1007/s11538-016-0214-9",

language = "English",

volume = "78",

pages = "2091--2134",

journal = "Bulletin of Mathematical Biology",

issn = "0092-8240",

publisher = "Springer",

number = "10",

}

TY - JOUR

T1 - Mathematical models for immunology

T2 - current state of the art and future research directions

AU - Eftimie, Raluca

AU - Gillard, Joseph J.

AU - Cantrell, Doreen A.

N1 - Funding for this work was provided by the UK Ministry of Defence under contract DSTLX-1000097390. In addition, R.E. would like to acknowledge an Engineering and Physical Sciences Research Council (UK) First Grant (EP/K033689/1).

PY - 2016/10

Y1 - 2016/10

N2 - 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.

AB - 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.

KW - Mathematical immunology

KW - Advances since 2006 and future trends

KW - Innate and adaptive immunity

KW - Multiscale interactions

U2 - 10.1007/s11538-016-0214-9

DO - 10.1007/s11538-016-0214-9

M3 - Review article

C2 - 27714570

SN - 0092-8240

VL - 78

SP - 2091

EP - 2134

JO - Bulletin of Mathematical Biology

JF - Bulletin of Mathematical Biology

IS - 10

ER -

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

Abstract

Keywords

Access to Document

Fingerprint

Projects

Mathematical Investigation into the Role of Cell-cell Communication Pathways on Collective Cell Migration (First Grant Scheme)

Cite this