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dc.creatorMacesic, Stevan R.
dc.creatorČupić, Željko
dc.creatorAnić, Slobodan
dc.creatorKolar-Anić, Ljiljana
dc.date.accessioned2019-01-30T17:44:24Z
dc.date.available2019-01-30T17:44:24Z
dc.date.issued2015
dc.identifier.issn0020-7462
dc.identifier.urihttp://cer.ihtm.bg.ac.rs/handle/123456789/1665
dc.description.abstractThe mathematical analogy between properties of simple and complex models of non-linear reactions was used to determine reaction steps in the complex model, necessary to generate instability region and appropriate type of bifurcations on the border between stable and unstable non-equilibrium stationary state. The autocatalator was recognized as the simple prototype two-variable non-linear model practical for examination of the complex four-variable non-linear neuroendocrine system known as the Hypothalamic-Pituitary-Adrenal (HPA) axis. In both cases, we derived the instability criteria by stoichiometric network analysis (SNA), determine conditions under which dynamic transitions, i.e. bifurcations occur, and identify the type of bifurcation. The supercritical Andronov-Hopf bifurcation was found in both cases whereas saddle-node bifurcation was detected only in the model for HPA axis. Thus, by stoichiometric network analysis, the mathematical analogy is found between two different models with same autocatalytic steps, that is, between two models with easily recognizable qualitative analogy.en
dc.publisherPergamon-Elsevier Science Ltd, Oxford
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/172015/RS//
dc.relationinfo:eu-repo/grantAgreement/MESTD/Integrated and Interdisciplinary Research (IIR or III)/45001/RS//
dc.rightsrestrictedAccess
dc.sourceInternational Journal of Non-Linear Mechanics
dc.subjectAutocatalatoren
dc.subjectHypothalamic-Pituitary-Adrenal (HPA) axisen
dc.subjectOscillatory reactionen
dc.subjectStoichiometric network analysisen
dc.subjectBifurcationsen
dc.subjectNon-linear dynamicsen
dc.titleAutocatalator as the source of instability in the complex non-linear neuroendocrine modelen
dc.typearticle
dc.rights.licenseARR
dcterms.abstractAниц, Слободан; Колар-Aниц, Љиљана; Чупић, Жељко; Мацесиц, Стеван;
dc.citation.volume73
dc.citation.spage25
dc.citation.epage30
dc.citation.other73: 25-30
dc.citation.rankM21
dc.identifier.doi10.1016/j.ijnonlinmec.2014.11.008
dc.identifier.rcubConv_3342
dc.identifier.scopus2-s2.0-84928531278
dc.identifier.wos000355022100005
dc.type.versionpublishedVersion


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