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Conference Proceeding

Process Algebra Models of Population Dynamics

Citation
McCaig 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. http://www.springerlink.com/content/y26143833jl82307/?MUD=MP; https://doi.org/10.1007/978-3-540-85101-1

Abstract
It 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.

Keywords
process algebra; population dynamics; changing scale; theoretical computer science; systems biology; Population dynamics; Epidemics; Parallel processing (Electronic computers)

StatusPublished
Author(s)McCaig, Chris; Norman, Rachel; Shankland, Carron
Title of seriesLecture Notes in Computer Science
Number in series5147
Publication date31/07/2008
URLhttp://hdl.handle.net/1893/938
Related URLshttp://www.risc.jku.at/conferences/ab2008/
PublisherSpringer
Publisher URLhttp://www.springerlink.com/…3jl82307/?MUD=MP
Place of publicationBerlin Heidelberg
ISSN of series0302-9743
ISBN978-3-540-85100-4
ConferenceAlgebraic Biology 2008
Conference locationCastle of Hagenberg, Austria
Dates
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