Patient-specific initial wall stress in abdominal aortic aneurysms with a backward incremental method

Putter, de S San; Wolters, Bjbm Berent; Rutten, Mcm Marcel; Breeuwer, Marcel; Gerritsen, FA; Vosse, van de Fn Frans

doi:10.1016/j.jbiomech.2006.04.019

Cited by 127 publications

(155 citation statements)

References 28 publications

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“…The same effect of the zero-pressure configuration on stress estimates of human carotid atherosclerotic plaque or AAA has been reported by other groups (De Putter et al 2007;Huang et al 2009;Speelman et al 2009). For example, if the current configuration of the artery is shrunk by 25% and 7.9% in the axial and circumferential directions in order to mimic its zero-pressure configuration, the maximum principal stress and strain is found to increase by 249.8% and 149% under an axial stretching of 1.33 (Huang et al 2009).…”

Section: Discussionsupporting

confidence: 80%

“…In the previous studies where the mechanical properties are known, a zero-pressure state, which is often used to approximate the zero-stress configuration, can be determined from the loaded configuration (Govindjee and Mihalic 1996;Govindjee and Mihalic 1998;Raghavan et al 2006;De Putter et al 2007;Lu et al 2007a;Lu et al 2007b;Gee et al 2009;Kroon 2010;Vavourakis et al 2011). However, in our problem, both the zero-stress configuration and the mechanical properties are unknown; hence we estimate the zero-stress configuration from the experimental observations.…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic behaviour of human gallbladder walls

Hill

Ogden

et al. 2013

Journal of the Mechanical Behavior of Biomedical Materials

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Inverse estimation of biomechanical parameters of soft tissues from non-invasive measurements has clinical significance in patient-specific modelling and disease diagnosis.In this paper, we propose a fully nonlinear approach to estimate the mechanical properties of the human gallbladder wall muscles from in vivo ultrasound images. The iteration method consists of a forward approach, in which the constitutive equation is based on a modified Hozapfel-Gasser-Ogden law initially developed for arteries. Five constitutive parameters describing the two orthogonal families of fibres and the matrix material are determined by comparing the computed displacements with medical images. The optimization process is carried out using the MATLAB toolbox, a Python code, and the ABAQUS solver. The proposed method is validated with published data in artery and subsequently applied to ten human gallbladder samples. Results show that the human gallbladder wall is anisotropic during passive refilling phase, and that the peak stress is 1.6 times greater than that calculated using the linear mechanics. This discrepancy arises because the wall thickness reduces by 1.6 times during the deformation, which is not predicted by conventional linear elasticity. If the change of wall thickness is accounted for, then the linear model can used to predict the gallbladder stress and its correlation with pain. This work provides further understanding of the nonlinear characteristics of human gallbladder.

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Section: Discussionsupporting

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Anisotropic behaviour of human gallbladder walls

Hill

Ogden

et al. 2013

Journal of the Mechanical Behavior of Biomedical Materials

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show abstract

“…Study III into the effect of taking the initial blood pressure load at end diastole into account shows that this approach performs better than the conventionally used approach of applying the full systolic blood pressure to the end-diastolic AAA geometry [32]. We found that the conventional approach leads to an unrealistically smooth systolic geometry and therefore to an underestimation of the systolic peak wall stress of up to 28%.…”

Section: Wall-stress Modelingmentioning

confidence: 82%

“…Finally, in study III an alternative was evaluated for the commonly used approach of applying the full systolic (highest) blood pressure directly on the aneurysm geometry as it appears in the medical images [32]. Since this approach does not account for the fact that the measured geometry is already experiencing a substantial load, it may lead to an incorrect systolic aneurysm shape and therefore to incorrect wall stress values.…”

Section: Wall Stress Simulationsmentioning

confidence: 99%

Towards patient-specific risk assessment of abdominal aortic aneurysm

Breeuwer

Putter

Kose

et al. 2008

Med Biol Eng Comput

Self Cite

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Document VersionPublisher's PDF, also known as Version of Record (includes final page, issue and volume numbers)Please check the document version of this publication:• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication Citation for published version (APA):Breeuwer, M., Putter, de, S., Kose, U., Speelman, L., Visser, K., Gerritsen, F. A., ... Vosse, van de, F. N. (2008). Towards patient-specific risk assessment of abdominal aortic aneurysm. Medical and Biological Engineering and Computing, 46(11), 1085-1095. DOI: 10.1007/s11517-008-0393-0 General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal ? Take down policyIf you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Abstract Diagnosis of vascular disease and selection and planning of therapy are to a large extent based on the geometry of the diseased vessel. Treatment of a particular vascular disease is usually considered if the geometrical parameter that characterizes the severity of the disease, e.g. % vessel narrowing, exceeds a threshold. The thresholds that are used in clinical practice are based on epidemiological knowledge, which has been obtained by clinical studies including large numbers of patients. They may apply ''on average'', but they can be sub-optimal for individual patients. To realize more patient-specific treatment decision criteria, more detailed knowledge may be required about the vascular hemodynamics, i.e. the blood flow and pressure in the diseased vessel and the biomechanical reaction of the vessel wall to this flow and pressure. Over the last decade, a substantial number of publications have appeared on hemodynamic modeling. Some studies have provided first evidence that this modeling may indeed be used to support therapeutic decisions. The goal of the research reported in this paper is to go one step further, namely to investigate the feasibilit...

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“…Several authors have shown that neglecting the presence of this physiological pressure load inside blood vessels in general and inside cerebral or aortic aneurysms in particular results in an inaccurate rating of the stresses and deformations [4][5][6][7][8]. As (i) the stress distribution throughout the arterial wall can not be measured and (ii) it is impossible to measure in vivo the zero-pressure geometry of a blood vessel, an inverse problem has to be defined to solve for this geometry or stress field when the in vivo measured geometry and the corresponding internal pressure at the moment of medical imaging are known.…”

Section: Introductionmentioning

confidence: 99%

Inverse modelling of image-based patient-specific blood vessels: zero-pressure geometry andin vivostress incorporation

Bols

Degroote

Trachet³

et al. 2013

ESAIM: M2AN

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Abstract.In vivo visualization of cardiovascular structures is possible using medical images. However, one has to realize that the resulting 3D geometries correspond to in vivo conditions. This entails an internal stress state to be present in the in vivo measured geometry of e.g. a blood vessel due to the presence of the blood pressure. In order to correct for this in vivo stress, this paper presents an inverse method to restore the original zero-pressure geometry of a structure, and to recover the in vivo stress field of the final, loaded structure. The proposed backward displacement method is able to solve the inverse problem iteratively using fixed point iterations, but can be significantly accelerated by a quasiNewton technique in which a least-squares model is used to approximate the inverse of the Jacobian. The here proposed backward displacement method allows for a straightforward implementation of the algorithm in combination with existing structural solvers, even if the structural solver is a black box, as only an update of the coordinates of the mesh needs to be performed.Mathematics Subject Classification. 65D18, 74L15, 49Q10, 65N21, 90C53.

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Patient-specific initial wall stress in abdominal aortic aneurysms with a backward incremental method

Cited by 127 publications

References 28 publications

Anisotropic behaviour of human gallbladder walls

Anisotropic behaviour of human gallbladder walls

Towards patient-specific risk assessment of abdominal aortic aneurysm

Inverse modelling of image-based patient-specific blood vessels: zero-pressure geometry andin vivostress incorporation

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