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dc.contributor.authorMcCaig, Chrisen_UK
dc.contributor.authorFenton, Andrewen_UK
dc.contributor.authorGraham, Andreaen_UK
dc.contributor.authorShankland, Carronen_UK
dc.contributor.authorNorman, Rachelen_UK
dc.description.abstractAs a first approximation of immune-mediated within-host parasite dynamics we can consider the immune response as a predator, with the parasite as its prey. In the ecological literature of predator-prey interactions there are a number of different functional responses used to describe how a predator reproduces in response to consuming prey. Until recently most of the models of the immune system that have taken a predator-prey approach have used simple mass action dynamics to capture the interaction between the immune response and the parasite. More recently Fenton and Perkins (2010) employed three of the most commonly used functional response terms from the ecological literature. In this paper we make use of a technique from computing science, process algebra, to develop mathematical models. The novelty of the process algebra approach is to allow stochastic models of the population (parasite and immune cells) to be developed from rules of individual cell behaviour. By using this approach in which individual cellular behaviour is captured we have derived a ratio-dependent response similar to that seen in previous models of immune-mediated parasite dynamics, confirming that, whilst this type of term is controversial in ecological predator-prey models, it is appropriate for models of the immune system.en_UK
dc.relationMcCaig C, Fenton A, Graham A, Shankland C & Norman R (2013) Using process algebra to develop predator-prey models of within-host parasite dynamics. Journal of Theoretical Biology, 329, pp. 74-81.
dc.rightsPublished in Journal of Theoretical Biology, VOL 329 (2013) by Elsevier; Elsevier believes that individual authors should be able to distribute their accepted author manuscripts for their personal voluntary needs and interests, e.g. posting to their websites or their institution’s repository, e-mailing to colleagues. The Elsevier Policy is as follows: Authors retain the right to use the accepted author manuscript for personal use, internal institutional use and for permitted scholarly posting provided that these are not for purposes of commercial use or systematic distribution. An "accepted author manuscript" is the author’s version of the manuscript of an article that has been accepted for publication and which may include any author-incorporated changes suggested through the processes of submission processing, peer review, and editor-author communications.en_UK
dc.subjectImmune systemen_UK
dc.subjectCellular interactionsen_UK
dc.subjectMathematical modelsen_UK
dc.titleUsing process algebra to develop predator-prey models of within-host parasite dynamicsen_UK
dc.typeJournal Articleen_UK
dc.citation.jtitleJournal of Theoretical Biologyen_UK
dc.type.statusAM - Accepted Manuscripten_UK
dc.contributor.funderEngineering and Physical Sciences Research Councilen_UK
dc.contributor.affiliationUniversity of Stirlingen_UK
dc.contributor.affiliationUniversity of Liverpoolen_UK
dc.contributor.affiliationPrinceton Universityen_UK
dc.contributor.affiliationComputing Scienceen_UK
dc.contributor.affiliationComplex Systems - LEGACYen_UK
dc.relation.funderprojectSystem Dynamics from Individual Interactions: A process algebra approach to epidemiologyen_UK
rioxxterms.typeJournal Article/Reviewen_UK
local.rioxx.authorMcCaig, Chris|en_UK
local.rioxx.authorFenton, Andrew|en_UK
local.rioxx.authorGraham, Andrea|en_UK
local.rioxx.authorShankland, Carron|0000-0001-7672-2884en_UK
local.rioxx.authorNorman, Rachel|0000-0002-7398-6064en_UK
local.rioxx.projectEP/E006280/1|Engineering and Physical Sciences Research Council|
local.rioxx.filenameShankland JTB 2013 pp.pdfen_UK
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