On the stability of the upper airways system

Lazopoulos, K; Lazopoulos, KA; Palassopoulos, G

dc.contributor.author	Lazopoulos, K	en
dc.contributor.author	Lazopoulos, KA	en
dc.contributor.author	Palassopoulos, G	en
dc.date.accessioned	2014-03-01T01:36:34Z
dc.date.available	2014-03-01T01:36:34Z
dc.date.issued	2011	en
dc.identifier.issn	1468-1218	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21341
dc.subject	Apnoia	en
dc.subject	Bifurcation	en
dc.subject	Critical conditions	en
dc.subject	Ideal fluids	en
dc.subject	Perturbations	en
dc.subject	Post-critical analysis	en
dc.subject	Stability	en
dc.subject	Upper airways system	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Apnoia	en
dc.subject.other	Bifurcation	en
dc.subject.other	Critical conditions	en
dc.subject.other	Ideal fluids	en
dc.subject.other	Perturbations	en
dc.subject.other	Post-critical analysis	en
dc.subject.other	Upper airways system	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Respiratory mechanics	en
dc.subject.other	System stability	en
dc.title	On the stability of the upper airways system	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.nonrwa.2010.09.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.nonrwa.2010.09.003	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Simple models for upper pharyngeal obstruction, describing the sleep apnea syndrome are proposed. Stability is discussed, of two and three individualized elements, with and without elastic connections, interacting with the steady flow. Considering the flow as the controlling parameter, critical steady state flows are located and their post-critical behavior is discussed for various models. It is pointed out that non-linear constitutive elastic laws are necessary contrary to the linear ones introduced by Fodil (1998) [15]. Finally the three element model will be presented and studied with non-linear constitutive relations and side connections. Applications of the theory will be performed and discussion for the three models will be presented. It is pointed out that the sleep apnea syndrome is due to the instability of the upper pharyngeal region. © 2010 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis: Real World Applications	en
dc.identifier.doi	10.1016/j.nonrwa.2010.09.003	en
dc.identifier.isi	ISI:000289448800002	en
dc.identifier.volume	12	en
dc.identifier.issue	3	en
dc.identifier.spage	1323	en
dc.identifier.epage	1337	en