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dc.contributor.authorMcCaig, Chrisen_UK
dc.contributor.authorNorman, Rachelen_UK
dc.contributor.authorShankland, Carronen_UK
dc.contributor.editorHorimoto, Ken_UK
dc.contributor.editorRegensburger, Gen_UK
dc.contributor.editorRosenkranz, Men_UK
dc.contributor.editorYoshida, Hen_UK
dc.description.abstractIt is well understood that populations cannot grow without bound and that it is competition between individuals for resources which restricts growth. Despite centuries of interest, the question of how best to model density dependent population growth still has no definitive answer. We address this question here through a number of individual based models of populations expressed using the process algebra WSCCS. The advantage of these models is that they can be explicitly based on observations of individual interactions. From our probabilistic models we derive equations expressing overall population dynamics, using a formal and rigorous rewriting based method. These equations are easily compared with the traditionally used deterministic Ordinary Differential Equation models and allow evaluation of those ODE models, challenging their assumptions about system dynamics. Further, the approach is applied to epidemiology, combining population growth with disease spread.en_UK
dc.relationMcCaig C, Norman R & Shankland C (2008) Process Algebra Models of Population Dynamics. In: Horimoto K, Regensburger G, Rosenkranz M & Yoshida H (eds.) Algebraic Biology. Lecture Notes in Computer Science, 5147. Algebraic Biology 2008, Castle of Hagenberg, Austria, 31.07.2008-02.08.2008. Berlin Heidelberg: Springer, pp. 139-155.;
dc.relation.ispartofseriesLecture Notes in Computer Science, 5147en_UK
dc.rightsPublished by Springer Verlag. The original publication is available at www.springerlink.comen_UK
dc.subjectprocess algebraen_UK
dc.subjectpopulation dynamicsen_UK
dc.subjectchanging scaleen_UK
dc.subjecttheoretical computer scienceen_UK
dc.subjectsystems biologyen_UK
dc.subjectPopulation dynamicsen_UK
dc.subjectParallel processing (Electronic computers)en_UK
dc.titleProcess Algebra Models of Population Dynamicsen_UK
dc.typeConference Paperen_UK
dc.type.statusAM - Accepted Manuscripten_UK
dc.citation.btitleAlgebraic Biologyen_UK
dc.citation.conferencedates2008-07-31 - 2008-08-02en_UK
dc.citation.conferencelocationCastle of Hagenberg, Austriaen_UK
dc.citation.conferencenameAlgebraic Biology 2008en_UK
dc.publisher.addressBerlin Heidelbergen_UK
dc.contributor.affiliationUniversity of Stirlingen_UK
dc.contributor.affiliationComputing Scienceen_UK
dc.contributor.affiliationComputing Scienceen_UK
Appears in Collections:Computing Science and Mathematics Conference Papers and Proceedings

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