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In vivo parameter identification in arteries including smooth muscle contraction
Linköping University, Department of Mechanical Engineering. Linköping University, The Institute of Technology.
Linköping University, Department of Mechanical Engineering. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-8460-0131
(English)Manuscript (preprint) (Other academic)
Abstract [en]

This paper presents an approach for including the active properties and a general residual stress distribution in the mechanical modelling of arteries by using a constrained mixture theory and local tangent maps. The model is used to identify passive and active properties, and a general residual stress distribution from in vivo measurements on a human femoral artery by solving a minimization problem. The results show that the active stress developed in the vascular smooth muscles tends to make the transmural stretch and stress distribution more uniform then for the passive response. We believe this indicates that it is important to account for active properties when modelling muscular arteries.

National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-85898OAI: oai:DiVA.org:liu-85898DiVA: diva2:573653
Available from: 2012-12-03 Created: 2012-12-03 Last updated: 2017-05-15
In thesis
1. Arterial mechanics: noninvasive identification of constitutive parameters and residual stress
Open this publication in new window or tab >>Arterial mechanics: noninvasive identification of constitutive parameters and residual stress
2005 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis concerns the mechanical modelling of arteries, and particularly a method to identify parameters describing the mechanical properties using only clinically obtainable in vivo measurements. The artery is modelled as a fibre reinforced, incompressible, thick-walled cylinder subjected to large deformations and a residual stress field. The residual stress field is parameterized using two methods: the classical opening angle method and the virtual configuration method. In the former method, the parameterization is obtained from the geometry of the cylindrical sector that an artery springs open into after a radial cut through the wall, while the latter method is based on a more general approach where the artery is relieved of stress by a local tangent map.

The model parameters are identified in a minimization problem. This is a well known technique for parameter identification; however, a simultaneous identification of the material and the residual stretch parameters has not been done for soft tissues before. Two particular diffculties are encountered in the minimization: first, the non convexity of the objective function, and second, the amount of information available in the measured pressure radius response is limited and the solution must be checked for over parameterization. The thesis studies these aspects and tries to relieve some of the problems by introducing physical or physiologically motivated constraints on the minimization.

The results presented in the four papers show that the method is feasible. It is also shown that the opening angle method can fail to give a true parameterization of the residual stress and that the virtual configuration method is preferable.

Place, publisher, year, edition, pages
Linköping: Linköpings universitet, 2005. 59 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 941
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-29062 (URN)14316 (Local ID)91-85297-85-2 (ISBN)14316 (Archive number)14316 (OAI)
Public defence
2005-06-09, Sal C3, Hus C, Linköpings universitet, Linköping, 10:15 (Swedish)
Opponent
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2012-12-03

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Stålhand, JonasKlarbring, Anders

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