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Aorta in vivo parameter identification using an axial force constraint
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
2005 (English)In: Biomechanics and Modeling in Mechanobiology, ISSN 1617-7959, E-ISSN 1617-7940, Vol. 3, no 4, 191-199 p.Article in journal (Refereed) Published
Abstract [en]

It was shown in a previous study by Stålhand et al. (2004) that both material and residual strain parameters for an artery can be identified noninvasively from an in vivo clinical pressure–diameter measurement. The only constraints placed on the model parameters in this previous study was a set of simple box constraints. More advanced constraints can also be utilized, however. These constraints restrict the model parameters implicitly by demanding the state of the artery to behave in a specified way. It has been observed in vitro that the axial force is nearly invariant to the pressure at the physiological operation point. In this paper, we study the possibility to include this behaviour as a constraint in the parameter optimization. The method is tested on an in vivo obtained pressure–diameter cycle for a 24-year-old human. Presented results show that the constrained parameter identification procedure proposed here can be used to obtain good results, and we believe that it may be applied to account for other observed behaviours as well.

Place, publisher, year, edition, pages
2005. Vol. 3, no 4, 191-199 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-30656DOI: 10.1007/s10237-004-0057-4Local ID: 16253OAI: oai:DiVA.org:liu-30656DiVA: diva2:251479
Available from: 2009-10-09 Created: 2009-10-09 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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