Resetting behavior in a model of bursting in secretory pituitary cells: distinguishing plateaus from pseudo-plateaus

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dc.contributor.author Stern, Julie V en
dc.contributor.author Osinga, Hinke en
dc.contributor.author LeBeau, Andrew en
dc.contributor.author Sherman, Arthur en
dc.date.accessioned 2012-03-12T00:01:22Z en
dc.date.issued 2008 en
dc.identifier.citation Bulletin of Mathematical Biology 70(1):68-88 2008 en
dc.identifier.issn 0092-8240 en
dc.identifier.uri http://hdl.handle.net/2292/13778 en
dc.description.abstract We study a recently discovered class of models for plateau bursting, inspired by models for endocrine pituitary cells. In contrast to classical models for fold-homoclinic (square-wave) bursting, the spikes of the active phase are not supported by limit cycles of the frozen fast subsystem, but are transient oscillations generated by unstable limit cycles emanating from a subcritical Hopf bifurcation around a stable steady state. Experimental time courses are suggestive of such fold-subHopf models because the spikes tend to be small and variable in amplitude; we call this pseudo-plateau bursting. We show here that distinct properties of the response to attempted resets from the silent phase to the active phase provide a clearer, qualitative criterion for choosing between the two classes of models. The fold-homoclinic class is characterized by induced active phases that increase towards the duration of the unperturbed active phase as resets are delivered later in the silent phase. For the fold-subHopf class of pseudo-plateau bursting, resetting is difficult and succeeds only in limited windows of the silent phase but, paradoxically, can dramatically exceed the native active phase duration. en
dc.publisher Society for Mathematical Biology en
dc.relation.ispartofseries Bulletin of Mathematical Biology en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0092-8240/ en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title Resetting behavior in a model of bursting in secretory pituitary cells: distinguishing plateaus from pseudo-plateaus en
dc.type Journal Article en
dc.identifier.doi 10.1007/s11538-007-9241-x en
pubs.begin-page 68 en
pubs.volume 70 en
dc.rights.holder Copyright: Society for Mathematical Biology en
dc.identifier.pmid 17703340 en
pubs.end-page 88 en
dc.rights.accessrights http://purl.org/eprint/accessRights/RestrictedAccess en
pubs.subtype Article en
pubs.elements-id 250690 en
pubs.org-id Science en
pubs.org-id Mathematics en
pubs.number 1 en
pubs.record-created-at-source-date 2011-12-05 en
pubs.dimensions-id 17703340 en


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