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A bifurcation analysis of two coupled calcium oscillators
dc.contributor.authorBindschadler, Michaelen_US
dc.contributor.authorSneyd, Jamesen_US
dc.date.accessioned2010-05-06T22:50:30Z
dc.date.available2010-05-06T22:50:30Z
dc.date.issued2001-03en_US
dc.identifier.citationBindschadler, Michael; Sneyd, James (2001). "A bifurcation analysis of two coupled calcium oscillators." Chaos 11(1): 237-246. <http://hdl.handle.net/2027.42/70869>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70869
dc.identifier.urihttp://www.ncbi.nlm.nih.gov/sites/entrez?cmd=retrieve&db=pubmed&list_uids=12779457&dopt=citationen_US
dc.description.abstractIn many cell types, asynchronous or synchronous oscillations in the concentration of intracellular free calcium occur in adjacent cells that are coupled by gap junctions. Such oscillations are believed to underlie oscillatory intercellular calcium waves in some cell types, and thus it is important to understand how they occur and are modified by intercellular coupling. Using a previous model of intracellular calcium oscillations in pancreatic acinar cells, this article explores the effects of coupling two cells with a simple linear diffusion term. Depending on the concentration of a signal molecule, inositol (1,4,5)-trisphosphate, coupling two identical cells by diffusion can give rise to synchronized in-phase oscillations, as well as different-amplitude in-phase oscillations and same-amplitude antiphase oscillations. Coupling two nonidentical cells leads to more complex behaviors such as cascades of period doubling and multiply periodic solutions. This study is a first step towards understanding the role and significance of the diffusion of calcium through gap junctions in the coordination of oscillatory calcium waves in a variety of cell types. © 2001 American Institute of Physics.en_US
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dc.format.extent159259 bytes
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dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleA bifurcation analysis of two coupled calcium oscillatorsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationotherInstitute of Information and Mathematical Sciences, Massey University Albany Campus, Private Bag 102-904, North Shore Mail Centre, Auckland, New Zealanden_US
dc.identifier.pmid12779457en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70869/2/CHAOEH-11-1-237-1.pdf
dc.identifier.doi10.1063/1.1342161en_US
dc.identifier.sourceChaosen_US
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dc.owningcollnamePhysics, Department of


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