Cellular automata models for excitable media

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dc.contributor.authorWeimar, Jörg Richarden
dc.contributor.committeecochairWatson, Layne T.en
dc.contributor.committeecochairTyson, John J.en
dc.contributor.committeememberEhrich, Roger W.en
dc.contributor.departmentComputer Science and Applicationsen
dc.date.accessioned2014-03-14T21:30:36Zen
dc.date.adate2009-03-03en
dc.date.available2014-03-14T21:30:36Zen
dc.date.issued1991-05-15en
dc.date.rdate2009-03-03en
dc.date.sdate2009-03-03en
dc.description.abstractA cellular automaton is developed for simulating excitable media. First, general "masks" as discrete approximations to the diffusion equation are examined, showing how to calculate the diffusion coefficient from the elements of the mask. The mask is then combined with a thresholding operation to simulate the propagation of waves (shock fronts) in excitable media, showing that (for well-chosen masks) the waves obey a linear "speedcurvature" relation with slope given by the predicted diffusion coefficient. The utility of different masks in terms of computational efficiency and adherence to a linear speed-curvature relation is assessed. Then, a cellular automaton model for wave propagation in reaction diffusion systems is constructed based on these "masks" for the diffusion component and on singular perturbation analysis for the reaction component. The cellular automaton is used to model spiral waves in the Belousov-Zhabotinskii reaction. The behavior of the spiral waves and the movement of the spiral tip are analyzed. By comparing these results to solutions of the Oregonator PDE model, the automaton is shown to be a useful and efficient replacement for the standard numerical solution of the PDE's.en
dc.description.degreeMaster of Scienceen
dc.format.extentvi, 48 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-03032009-040651en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-03032009-040651/en
dc.identifier.urihttp://hdl.handle.net/10919/41365en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1991.W455.pdfen
dc.relation.isformatofOCLC# 24111999en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1991.W455en
dc.subject.lcshExcitable membranes -- Researchen
dc.subject.lcshExciton theory -- Researchen
dc.titleCellular automata models for excitable mediaen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineComputer Science and Applicationsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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