2016
DOI: 10.1007/s11538-016-0214-9
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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… Show more

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Cited by 151 publications
(130 citation statements)
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“…4d). The resulting capacity to design more effective protective and therapeutic vaccines has the potential to optimise and potentially individualise vaccines for cancer and chronic infection and regulate autoimmune diseases [38]. Through the development of mechanistic models, virtual clinical trials akin to that described for tumour modelling [2] could be developed and applied to applied to immunological modelling.…”
Section: Application Of Models To Quantify or Predict T Cell Activatimentioning
confidence: 99%
See 1 more Smart Citation
“…4d). The resulting capacity to design more effective protective and therapeutic vaccines has the potential to optimise and potentially individualise vaccines for cancer and chronic infection and regulate autoimmune diseases [38]. Through the development of mechanistic models, virtual clinical trials akin to that described for tumour modelling [2] could be developed and applied to applied to immunological modelling.…”
Section: Application Of Models To Quantify or Predict T Cell Activatimentioning
confidence: 99%
“…Through the development of mechanistic models, virtual clinical trials akin to that described for tumour modelling [2] could be developed and applied to applied to immunological modelling. The resulting capacity to design more effective protective and therapeutic vaccines has the potential to optimise and potentially individualise vaccines for cancer and chronic infection and regulate autoimmune diseases [38].…”
Section: Application Of Models To Quantify or Predict T Cell Activatimentioning
confidence: 99%
“…Several works (see [20] and the references therein), focused on modeling molecular mechanisms of the immune response coupled to cell population dynamics. Most of these works involve agent-based models.…”
Section: Introductionmentioning
confidence: 99%
“…To this end, the phenotypic modeling approach is well-characterized and recognized as "simple enough to be studied mathematically, but not oversimplified to the point of losing contact with the experimental data" as insightfully argued by Gunawardena (2014). A the same time, largescale mechanistic or semi-mechanistic models construction is usually hampered by the general issue of sparse experimental measurements (De Boer and Perelson, 2013;Eftimie et al, 2016).…”
Section: Introductionmentioning
confidence: 99%
“…In our modeling studies, we also follow Eftimie et al (2016) who distinguish two general purposes for mathematical models: (i) to offer some general theoretical understanding for a biological problem, which does not require any formal model validation, and (ii) to help make predictions, which should already depend on a formal model validation.…”
Section: Introductionmentioning
confidence: 99%