A nonlinear, anisotropic and axisymmetric model for balloon angioplasty

Eftaxiopoulos, DA; Atkinson, C

dc.contributor.author	Eftaxiopoulos, DA	en
dc.contributor.author	Atkinson, C	en
dc.date.accessioned	2014-03-01T01:21:45Z
dc.date.available	2014-03-01T01:21:45Z
dc.date.issued	2005	en
dc.identifier.issn	1364-5021	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16356
dc.subject	Anisotropy	en
dc.subject	Artery	en
dc.subject	Atherosclerotic plaque	en
dc.subject	Axial symmetry	en
dc.subject	Balloon	en
dc.subject	Nonlinear elasticity	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	ELASTIC CYLINDRICAL MEMBRANES	en
dc.subject.other	LONGITUDINAL TENSION	en
dc.subject.other	INTERNAL-PRESSURE	en
dc.subject.other	TUBES	en
dc.subject.other	DEFORMATION	en
dc.subject.other	BEHAVIOR	en
dc.subject.other	STRESS	en
dc.subject.other	TISSUE	en
dc.subject.other	PACKER	en
dc.subject.other	FLOW	en
dc.title	A nonlinear, anisotropic and axisymmetric model for balloon angioplasty	en
heal.type	journalArticle	en
heal.identifier.primary	10.1098/rspa.2004.1419	en
heal.identifier.secondary	http://dx.doi.org/10.1098/rspa.2004.1419	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	A nonlinear elastic, anisotropic and axisymmetric balloon angioplasty model, consisting of the balloon, the atherosclerotic plaque and the artery wall, has been developed and analysed in this paper. The deformation of the angioplasty compound, i.e. the balloon, the plaque and the artery, for slowly increasing dilation pressure within the balloon, is investigated. The plaque has been considered as a circular cylindrical tube extending all around the artery circumference. Normal radial stress and radial displacement boundary conditions have been imposed along the balloon-plaque and the plaque-artery interfaces. Large elastic deformations have been accommodated in the model. The balloon material has been considered as isotropic, the plaque material as transversely isotropic and the artery wall material as orthotropic. A strain energy density function, that satisfies existing incomplete experimental data, has been constructed for the plaque material. For a given dilation pressure within the balloon, the deformation of the angioplasty compound is determined via the numerical solution of a system of four nonlinear equations. For a medium hard balloon and a medium stiff plaque, a dilation pressure 7.5 times bigger than the blood pressure is required for an almost full reopening of the narrowed lumen. The percentage increase in length of the inner radius of the plaque is twice bigger than that of the radius of the artery. Results also indicate that the process of full reopening may be achievable, without stressing the artery wall dramatically. © 2005 The Royal Society.	en
heal.publisher	ROYAL SOCIETY	en
heal.journalName	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences	en
dc.identifier.doi	10.1098/rspa.2004.1419	en
dc.identifier.isi	ISI:000228922700010	en
dc.identifier.volume	461	en
dc.identifier.issue	2056	en
dc.identifier.spage	1097	en
dc.identifier.epage	1128	en