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Donmazov S, Piskin S, Gölcez T, Kul D, Arnaz A, Pekkan K. Mechanical characterization and torsional buckling of pediatric cardiovascular materials. Biomech Model Mechanobiol 2024; 23:845-860. [PMID: 38361084 PMCID: PMC11101351 DOI: 10.1007/s10237-023-01809-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/17/2023] [Accepted: 12/22/2023] [Indexed: 02/17/2024]
Abstract
In complex cardiovascular surgical reconstructions, conduit materials that avoid possible large-scale structural deformations should be considered. A fundamental mode of mechanical complication is torsional buckling which occurs at the anastomosis site due to the mechanical instability, leading surgical conduit/patch surface deformation. The objective of this study is to investigate the torsional buckling behavior of commonly used materials and to develop a practical method for estimating the critical buckling rotation angle under physiological intramural vessel pressures. For this task, mechanical tests of four clinically approved materials, expanded polytetrafluoroethylene (ePTFE), Dacron, porcine and bovine pericardia, commonly used in pediatric cardiovascular surgeries, are conducted (n = 6). Torsional buckling initiation tests with n = 4 for the baseline case (L = 7.5 cm) and n = 3 for the validation of ePTFE (L = 15 cm) and Dacron (L = 15 cm and L = 25 cm) for each are also conducted at low venous pressures. A practical predictive formulation for the buckling potential is proposed using experimental observations and available theory. The relationship between the critical buckling rotation angle and the lumen pressure is determined by balancing the circumferential component of the compressive principal stress with the shear stress generated by the modified critical buckling torque, where the modified critical buckling torque depends linearly on the lumen pressure. While the proposed technique successfully predicted the critical rotation angle values lying within two standard deviations of the mean in the baseline case for all four materials at all lumen pressures, it could reliably predict the critical buckling rotation angles for ePTFE and Dacron samples of length 15 cm with maximum relative errors of 31% and 38%, respectively, in the validation phase. However, the validation of the performance of the technique demonstrated lower accuracy for Dacron samples of length 25 cm at higher pressure levels of 12 mmHg and 15 mmHg. Applicable to all surgical materials, this formulation enables surgeons to assess the torsional buckling potential of vascular conduits noninvasively. Bovine pericardium has been found to exhibit the highest stability, while Dacron (the lowest) and porcine pericardium have been identified as the least stable with the (unitless) torsional buckling resistance constants, 43,800, 12,300 and 14,000, respectively. There was no significant difference between ePTFE and Dacron, and between porcine and bovine pericardia. However, both porcine and bovine pericardia were found to be statistically different from ePTFE and Dacron individually (p < 0.0001). ePTFE exhibited highly nonlinear behavior across the entire strain range [0, 0.1] (or 10% elongation). The significant differences among the surgical materials reported here require special care in conduit construction and anastomosis design.
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Affiliation(s)
- Samir Donmazov
- Department of Mathematics, University of Kentucky, Kentucky, 40506, USA
| | - Senol Piskin
- Department of Mechanical Engineering, Istinye University, Istanbul, 34010, Turkey
| | - Tansu Gölcez
- Department of Bio-Medical Science and Engineering, Koc University, Istanbul, Turkey
| | - Demet Kul
- Department of Cellular and Molecular Medicine, Koc University, Istanbul, Turkey
| | - Ahmet Arnaz
- Department of Cardiovascular Surgery, School of Medicine, Acibadem Mehmet Ali Aydinlar University, Istanbul, Turkey
| | - Kerem Pekkan
- Department of Mechanical Engineering, Koc University, Sariyer, Istanbul, Turkey.
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2
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Han HC, Sultan S, Xiang M. The effects of axial twisting and material non-symmetry on arterial bent buckling. J Biomech 2023; 157:111735. [PMID: 37499429 DOI: 10.1016/j.jbiomech.2023.111735] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2023] [Revised: 06/25/2023] [Accepted: 07/18/2023] [Indexed: 07/29/2023]
Abstract
Artery buckling occurs due to hypertensive lumen pressure or reduced axial tension and other pathological conditions. Since arteries in vivo often experience axial twisting and the collagen fiber alignment in the arterial wall may become nonsymmetric, it is imperative to know how axial twisting and nonsymmetric collagen alignment would affect the buckling behavior of arteries. To this end, the objective of this study was to determine the effect of axial twisting and nonsymmetric collagen fiber distribution on the critical pressure of arterial bent buckling. The buckling model analysis was generalized to incorporate an axial twist angle and nonsymmetric fiber alignment. The effect of axial twisting on the critical pressure was simulated and experimentally tested in a group of porcine carotid arteries. Our results showed that axial twisting tends to reduce the critical pressure depending on the axial stretch ratio and twist angle. In addition, nonsymmetric fiber alignment reduces the critical pressure. Experimental results confirmed that a twist angle of 90° reduces the critical pressure significantly (p < 0.05). It was concluded that axial twisting and non-axisymmetric collagen fibers distribution could make arteries prone to bent buckling. These results enrich our understanding of artery buckling and vessel tortuosity. The model analysis and results could also be applicable to other fiber reinforced tubes under lumen pressure and axial twisting.
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Affiliation(s)
- Hai-Chao Han
- Department of Mechanical Engineering, The University of Texas at San Antonio, San Antonio, TX 78249, United States.
| | - Sarah Sultan
- Department of Mechanical Engineering, The University of Texas at San Antonio, San Antonio, TX 78249, United States
| | - Michael Xiang
- Department of Mechanical Engineering, The University of Texas at San Antonio, San Antonio, TX 78249, United States
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3
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Han HC, Liu Q, Baek S. Numerical simulations of the nonsymmetric growth and remodeling of arteries under axial twisting. J Biomech 2022; 140:111165. [PMID: 35667148 PMCID: PMC10782577 DOI: 10.1016/j.jbiomech.2022.111165] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2022] [Revised: 05/02/2022] [Accepted: 05/23/2022] [Indexed: 11/23/2022]
Abstract
Blood vessels are often subjected to axial twisting during body movement or surgery. Sustained twisting may lead to blood vessel growth and remodeling, however, it remains unclear how the extracellular matrix in the blood vessels remodel under sustained axial twisting. This study aimed to develop a computational model to simulate stress-induced growth and remodeling (G&R) of thin-walled blood vessels under axial twisting. Cylindrical vessels were subjected to a step increase in axial torque while the axial stretch and lumen pressure remained constant. The vessel walls were modeled based on the constrained mixture theory given as microstructure-based discrete fiber families with isotropic matrix structure models. Simulation results demonstrated that in response to a constant twist angle loading, arterial wall thickness, mass, and twisting torque gradually increase towards a new steady state. However, the stress and mass decrease in one diagonal fiber family while increasing in the other diagonal fiber family before reaching plateaus. A novel finding was that the two helical collagen fiber families showed different growth rates and patterns during remodeling, driven by the different fiber stresses generated by the twisting, and led to non-symmetric material properties. This study sheds new light on arterial wall remodeling under axial twisting.
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Affiliation(s)
- Hai-Chao Han
- Department of Mechanical Engineering, The University of Texas at San Antonio, TX 78249, United States.
| | - Qin Liu
- Department of Mechanical Engineering, The University of Texas at San Antonio, TX 78249, United States
| | - Seungik Baek
- Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824, United States
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4
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Han HC. Effects of material non-symmetry on the mechanical behavior of arterial wall. J Mech Behav Biomed Mater 2022; 129:105157. [DOI: 10.1016/j.jmbbm.2022.105157] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/26/2021] [Revised: 01/17/2022] [Accepted: 02/27/2022] [Indexed: 12/21/2022]
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5
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Weiss D, Cavinato C, Gray A, Ramachandra AB, Avril S, Humphrey JD, Latorre M. Mechanics-driven mechanobiological mechanisms of arterial tortuosity. SCIENCE ADVANCES 2020; 6:6/49/eabd3574. [PMID: 33277255 PMCID: PMC7821897 DOI: 10.1126/sciadv.abd3574] [Citation(s) in RCA: 23] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/16/2020] [Accepted: 10/22/2020] [Indexed: 05/04/2023]
Abstract
Arterial tortuosity manifests in many conditions, including hypertension, genetic mutations predisposing to thoracic aortopathy, and vascular aging. Despite evidence that tortuosity disrupts efficient blood flow and that it may be an important clinical biomarker, underlying mechanisms remain poorly understood but are widely appreciated to be largely biomechanical. Many previous studies suggested that tortuosity may arise via an elastic structural buckling instability, but the novel experimental-computational approach used here suggests that tortuosity arises from mechanosensitive, cell-mediated responses to local aberrations in the microstructural integrity of the arterial wall. In particular, computations informed by multimodality imaging show that aberrations in elastic fiber integrity, collagen alignment, and collagen turnover can lead to a progressive loss of structural stability that entrenches during the development of tortuosity. Interpreted in this way, microstructural defects or irregularities of the arterial wall initiate the condition and hypertension is a confounding factor.
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Affiliation(s)
- Dar Weiss
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA
| | - Cristina Cavinato
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA
| | - Authia Gray
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA
| | | | - Stephane Avril
- Mines Saint-Etienne, Centre CIS, INSERM, U 1059 Sainbiose University of Lyon, Univ Jean Monnet, Saint-Etienne, France
| | - Jay D Humphrey
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA.
| | - Marcos Latorre
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA
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6
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Abstract
Vascular tortuosity may impede blood flow, occlude the lumen, and ultimately lead to ischemia or even infarction. Mechanical loads like blood pressure, axial force, and also torsion are key factors participating in this complex mechanobiological process. The available studies on arterial torsion instability followed computational or experimental approaches, yet single available theoretical study had modeled the artery as isotropic linear elastic. This paper aim is to validate a theoretical model of arterial torsion instability against experimental data. The artery is modeled as a single-layered, nonlinear, hyperelastic, anisotropic solid, with parameters calibrated from experiment. Linear bifurcation analysis is then performed to predict experimentally measured stability margins. Uncertainties in geometrical parameters and in measured mechanical response were considered. Also, the type of rate (incremental) boundary conditions (RBCs) impact on the results was examined (e.g., dead load, fluid pressure). The predicted critical torque and twist angle followed the experimentally measured trends. The closest prediction errors in the critical torque and twist rate were 22% and 67%, respectively. Using the different RBCs incurred differences of up to 50% difference within the model predictions. The present results suggest that the model may require further improvements. However, it offers an approach that can be used to predict allowable twist levels in surgical procedures (like anastomosis and grafting) and in the design of stents for arteries subjected to high torsion levels (like the femoropopliteal arteries). It may also be instructive in understanding biomechanical processes like arterial tortuosity, kinking, and coiling.
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Affiliation(s)
- Nir Emuna
- Faculty of Aerospace Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel
| | - David Durban
- Faculty of Aerospace Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel
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7
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Sharzehee M, Fatemifar F, Han HC. Computational simulations of the helical buckling behavior of blood vessels. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2019; 35:e3277. [PMID: 31680465 PMCID: PMC7286361 DOI: 10.1002/cnm.3277] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/12/2018] [Revised: 08/27/2019] [Accepted: 10/17/2019] [Indexed: 06/10/2023]
Abstract
Tortuous vessels are often observed in vivo and could hinder or even disrupt blood flow to distal organs. Besides genetic and biological factors, the in vivo mechanical loading seems to play a role in the formation of tortuous vessels, but the mechanism for formation of helical vessel shape remains unclear. Accordingly, the aim of this study was to investigate the biomechanical loads that trigger the occurrence of helical buckling in blood vessels using finite element analysis. Porcine carotid arteries were modeled as thick-walled cylindrical tubes using generalized Fung and Holzapfel-Gasser-Ogden constitutive models. Physiological loadings, including axial tension, lumen pressure, and axial torque, were applied. Simulations of various geometric dimensions, different constitutive models and at various levels of axial stretch ratios, lumen pressures, and twist angles were performed to identify the mechanical factors that determine the helical stability. Our results demonstrated that axial torsion can cause wringing (twist buckling) that leads to kinking or helical coiling and even looping and winding. The specific buckling patterns depend on the combination of lumen pressure, axial torque, axial tension, and the dimensions of the vessels. This study elucidates the mechanism of how blood vessels buckle under various mechanical loads and how complex mechanical loads yield helical buckling.
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Affiliation(s)
- Mohammadali Sharzehee
- Department of Mechanical Engineering, The University of Texas at San Antonio, San Antonio, TX, USA
| | - Fatemeh Fatemifar
- Department of Mechanical Engineering, The University of Texas at San Antonio, San Antonio, TX, USA
| | - Hai-Chao Han
- Department of Mechanical Engineering, The University of Texas at San Antonio, San Antonio, TX, USA
- Biomedical Engineering Program, UTSA-UTHSCSA, San Antonio, TX
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8
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Sedal A, Wineman A, Gillespie RB, Remy CD. Comparison and experimental validation of predictive models for soft, fiber-reinforced actuators. Int J Rob Res 2019. [DOI: 10.1177/0278364919879493] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Successful soft robot modeling approaches appearing in the recent literature have been based on a variety of distinct theories, including traditional robotic theory, continuum mechanics, and machine learning. Though specific modeling techniques have been developed for and validated against already realized systems, their strengths and weaknesses have not been explicitly compared against each other. In this article, we show how three distinct model structures, a lumped-parameter model, a continuum mechanical model, and a neural network, compare in capturing the gross trends and specific features of the force generation of soft robotic actuators. In particular, we study models for fiber-reinforced elastomeric enclosures (FREEs), which are a popular choice of soft actuator and that are used in several soft articulated systems, including soft manipulators, exoskeletons, grippers, and locomoting soft robots. We generated benchmark data by testing eight FREE samples that spanned broad design and kinematic spaces and compared the models on their ability to predict the loading–deformation relationships of these samples. This comparison shows the predictive capabilities of each model on individual actuators and each model’s generalizability across the design space. While the neural net achieved the highest peak performance, the first principles-based models generalized best across all actuator design parameters tested. The results highlight the essential roles of mathematical structure and experimental parameter determination in building high-performing, generalizable soft actuator models with varying effort invested in system identification.
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Affiliation(s)
- Audrey Sedal
- Department of Mechanical Engineering, University of Michigan–Ann Arbor, Ann Arbor, MI, USA
| | - Alan Wineman
- Department of Mechanical Engineering, University of Michigan–Ann Arbor, Ann Arbor, MI, USA
| | - R. Brent Gillespie
- Department of Mechanical Engineering, University of Michigan–Ann Arbor, Ann Arbor, MI, USA
| | - C. David Remy
- Department of Mechanical Engineering, University of Michigan–Ann Arbor, Ann Arbor, MI, USA
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9
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Krzyżewski RM, Kliś KM, Kwinta BM, Gackowska M, Gąsowski J. Increased tortuosity of ACA might be associated with increased risk of ACoA aneurysm development and less aneurysm dome size: a computer-aided analysis. Eur Radiol 2019; 29:6309-6318. [PMID: 30989348 PMCID: PMC6795631 DOI: 10.1007/s00330-019-06146-3] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/13/2018] [Revised: 01/31/2019] [Accepted: 03/08/2019] [Indexed: 12/02/2022]
Abstract
Objectives We decided to perform computer-aided analysis of the anterior cerebral artery (ACA) to check for a potential correlation with anterior communicating artery (ACoA) aneurysm presence and growth. Methods We retrospectively analyzed the ACA anatomy of 121 patients with ACoA aneurysms along with 121 age, risk factors, and vessel side-matched control patients without an ACoA aneurysm. We obtained their medical history and digital subtraction angiography (DSA) data from their medical records. For each patient’s DSA, we extracted curve representing the course of their ACA and calculated its relative length (RL), sum of angle metrics (SOAM), triangular index (TI), product of angle distance (PAD), and inflection count metrics (ICM). Results Patients with ACoA aneurysm had significantly higher RL (0.64 ± 0.23 vs. 0.56 ± 0.22; p < 0.01), SOAM (0.27 ± 0.19 vs. 0.18 ± 0.15; p < 0.01), PAD (0.12 ± 0.13 vs. 0.09 ± 0.11; p = 0.02), and TI (0.57 ± 0.14 vs. 0.44 ± 0.15; p < 0.01). In multivariate logistic regression analysis, after adjustment for possible confounders, SOAM (OR, 1.34; 95% CI, 1.12–1.63; p < 0.01) and TI (OR, 1.84; 95% CI, 1.47–2.35; p < 0.01) remained independently associated with higher risk of ACoA aneurysm. Additionally, we found significant negative correlations between TI and aneurysm dome size (R = − 0.194; p = 0.047). Conclusions Increased tortuosity of ACA might increase the risk of ACoA aneurysm development and decrease the risk of aneurysm growth. Key Points • Anterior cerebral artery’s sum of angle metrics is associated with hypertension as well as with history of ischemic stroke and myocardial infarction. • Increased tortuosity of anterior cerebral artery might be associated with anterior communicating artery aneurysm development. • Tortuosity of anterior cerebral artery is negatively correlated with anterior communicating artery aneurysm dome size.
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Affiliation(s)
- Roger M Krzyżewski
- Department of Neurosurgery and Neurotraumatology, Jagiellonian University Medical College, Botaniczna 3 Street, 31-503, Kraków, Poland. .,TENSOR- Team of NeuroSurgery-Oriented Research, Jagiellonian University Medical College, Kraków, Poland.
| | - Kornelia M Kliś
- TENSOR- Team of NeuroSurgery-Oriented Research, Jagiellonian University Medical College, Kraków, Poland.,Faculty of Medicine, Jagiellonian University Medical College, Kraków, Poland.,Faculty of Computer Science, Electronics and Telecommunications, AGH University of Science and Technology, Kraków, Poland
| | - Borys M Kwinta
- Department of Neurosurgery and Neurotraumatology, Jagiellonian University Medical College, Botaniczna 3 Street, 31-503, Kraków, Poland.,TENSOR- Team of NeuroSurgery-Oriented Research, Jagiellonian University Medical College, Kraków, Poland
| | | | - Jerzy Gąsowski
- TENSOR- Team of NeuroSurgery-Oriented Research, Jagiellonian University Medical College, Kraków, Poland.,Department of Internal Medicine and Gerontology, Jagiellonian University Medical College, Kraków, Poland
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10
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Abstract
The stability of the arteries under in vivo pressure and axial tension loads is essential to normal arterial function, and lumen collapse due to buckling can hinder the blood flow. The objective of this study was to develop the lumen buckling equation for nonlinear anisotropic thick-walled arteries to determine the effect of axial tension. The theoretical equation was developed using exponential Fung strain function, and the effects of axial tension and residual stress on the critical buckling pressure were illustrated for porcine coronary arteries. The buckling behavior was also simulated using finite-element analysis. Our results demonstrated that lumen collapse of arteries could occur when the transmural pressure is negative and exceeded a critical value. This value depends upon the axial stretch ratio and material properties of the arterial wall. Axial tensions show a biphasic effect on the critical buckling pressure. The lumen aspect ratio of arteries increases nonlinearly with increasing external pressure beyond the critical value as the lumen collapses. These results enhance our understanding of artery lumen collapse behavior.
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11
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Sharzehee M, Khalafvand SS, Han HC. Fluid-structure interaction modeling of aneurysmal arteries under steady-state and pulsatile blood flow: a stability analysis. Comput Methods Biomech Biomed Engin 2018; 21:219-231. [PMID: 29446991 PMCID: PMC5879495 DOI: 10.1080/10255842.2018.1439478] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Tortuous aneurysmal arteries are often associated with a higher risk of
rupture but the mechanism remains unclear. The goal of this study was to analyze
the buckling and post-buckling behaviors of aneurysmal arteries under pulsatile
flow. To accomplish this goal, we analyzed the buckling behavior of model
carotid and abdominal aorta with aneurysms by utilizing fluid-structure
interaction (FSI) method with realistic waveforms boundary conditions. FSI
simulations were done under steady-state and pulsatile flow for normal (1.5) and
reduced (1.3) axial stretch ratios to investigate the influence of aneurysm,
pulsatile lumen pressure and axial tension on stability. Our results indicated
that aneurysmal artery buckled at the critical buckling pressure and its
deflection nonlinearly increased with increasing lumen pressure. Buckling
elevates the peak stress (up to 118%). The maximum aneurysm wall stress
at pulsatile FSI flow was (29%) higher than under static pressure at the
peak lumen pressure of 130 mmHg. Buckling results show an increase in lumen
shear stress at the inner side of the maximum deflection. Vortex flow was
dramatically enlarged with increasing lumen pressure and artery diameter.
Aneurysmal arteries are more susceptible than normal arteries to mechanical
instability which causes high stresses in the aneurysm wall that could lead to
aneurysm rupture.
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Affiliation(s)
- Mohammadali Sharzehee
- a Department of Mechanical Engineering , The University of Texas at San Antonio , San Antonio , TX , USA
| | | | - Hai-Chao Han
- a Department of Mechanical Engineering , The University of Texas at San Antonio , San Antonio , TX , USA
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12
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Haemodynamic Recovery Properties of the Torsioned Testicular Artery Lumen. Sci Rep 2017; 7:15570. [PMID: 29138449 PMCID: PMC5686114 DOI: 10.1038/s41598-017-15680-3] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/13/2017] [Accepted: 10/31/2017] [Indexed: 11/08/2022] Open
Abstract
Testicular artery torsion (twisting) is one such severe vascular condition that leads spermatic cord injury. In this study, we investigate the recovery response of a torsioned ram testicular artery in an isolated organ-culture flow loop with clinically relevant twisting modes (90°, 180°, 270° and 360° angles). Quantitative optical coherence tomography technique was employed to track changes in the lumen diameter, wall thickness and the three-dimensional shape of the vessel in the physiological pressure range (10-50 mmHg). As a control, pressure-flow characteristics of the untwisted arteries were studied when subjected to augmented blood flow conditions with physiological flow rates up to 36 ml/min. Both twist and C-shaped buckling modes were observed. Acute increase in pressure levels opened the narrowed lumen of the twisted arteries noninvasively at all twist angles (at ∼22 mmHg and ∼35 mmHg for 360°-twisted vessels during static and dynamic flow experiments, respectively). The association between the twist-opening flow rate and the vessel diameter was greatly influenced by the initial twist angle. The biomechanical characteristics of the normal (untwisted) and torsioned testicular arteries supported the utilization of blood flow augmentation as an effective therapeutic approach to modulate the vessel lumen and recover organ reperfusion.
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13
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Chen H, Kassab GS. Microstructure-based constitutive model of coronary artery with active smooth muscle contraction. Sci Rep 2017; 7:9339. [PMID: 28839149 PMCID: PMC5571218 DOI: 10.1038/s41598-017-08748-7] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2017] [Accepted: 07/18/2017] [Indexed: 12/27/2022] Open
Abstract
Currently, there is no full three-dimensional (3D) microstructural mechanical model of coronary artery based on measured microstructure including elastin, collagen and smooth muscle cells. Many structural models employ mean values of vessel microstructure, rather than continuous distributions of microstructure, to predict the mechanical properties of blood vessels. Although some models show good agreements on macroscopic vessel responses, they result in a lower elastin stiffness and earlier collagen recruitment. Hence, a full microstructural constitutive model is required for better understanding vascular biomechanics in health and disease. Here, a 3D microstructural model that accounts for all constituent microstructure is proposed to predict macroscopic and microscopic responses of coronary arteries. Coronary artery microstructural parameters were determined based on previous statistical measurements while mechanical testing of arteries (n = 5) were performed in this study to validate the computational predictions. The proposed model not only provides predictions of active and passive stress distributions of vessel wall, but also enables reliable estimations of material parameters of individual fibers and cells and thus predicts microstructural stresses. The validated microstructural model of coronary artery sheds light on vascular biomechanics and can be extend to diseased vessels for better understanding of initiation, progression and clinical treatment of vascular disease.
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Affiliation(s)
- H Chen
- California Medical Innovations Institute, Inc., San Diego, CA92121, USA
| | - G S Kassab
- California Medical Innovations Institute, Inc., San Diego, CA92121, USA.
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14
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Garcia JR, Sanyal A, Fatemifar F, Mottahedi M, Han HC. Twist buckling of veins under torsional loading. J Biomech 2017; 58:123-130. [PMID: 28526174 DOI: 10.1016/j.jbiomech.2017.04.018] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2016] [Revised: 03/31/2017] [Accepted: 04/24/2017] [Indexed: 10/19/2022]
Abstract
Veins are often subjected to torsion and twisted veins can hinder and disrupt normal blood flow but their mechanical behavior under torsion is poorly understood. The objective of this study was to investigate the twist deformation and buckling behavior of veins under torsion. Twist buckling tests were performed on porcine internal jugular veins (IJVs) and human great saphenous veins (GSVs) at various axial stretch ratio and lumen pressure conditions to determine their critical buckling torques and critical buckling twist angles. The mechanical behavior under torsion was characterized using a two-fiber strain energy density function and the buckling behavior was then simulated using finite element analysis. Our results demonstrated that twist buckling occurred in all veins under excessive torque characterized by a sudden kink formation. The critical buckling torque increased significantly with increasing lumen pressure for both porcine IJV and human GSV. But lumen pressure and axial stretch had little effect on the critical twist angle. The human GSVs are stiffer than the porcine IJVs. Finite element simulations captured the buckling behavior for individual veins under simultaneous extension, inflation, and torsion with strong correlation between predicted critical buckling torques and experimental data (R2=0.96). We conclude that veins can buckle under torsion loading and the lumen pressure significantly affects the critical buckling torque. These results improve our understanding of vein twist behavior and help identify key factors associated in the formation of twisted veins.
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Affiliation(s)
- Justin R Garcia
- Department of Mechanical Engineering, University of Texas at San Antonio, USA; Biomedical Engineering Program, UTSA-UTHSCSA, USA
| | - Arnav Sanyal
- Department of Mechanical Engineering, University of Texas at San Antonio, USA
| | - Fatemeh Fatemifar
- Department of Mechanical Engineering, University of Texas at San Antonio, USA
| | - Mohammad Mottahedi
- Department of Mechanical Engineering, University of Texas at San Antonio, USA
| | - Hai-Chao Han
- Department of Mechanical Engineering, University of Texas at San Antonio, USA; Biomedical Engineering Program, UTSA-UTHSCSA, USA; Institute of Mechanobiology & Medical Engineering, Shanghai Jiaotong University, China.
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15
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Virgilio F, Maurel B, Davis M, Hamilton G, Mastracci TM. Vertebral Tortuosity Index in Patients with Non-Connective Tissue Disorder-Related Aneurysm Disease. Eur J Vasc Endovasc Surg 2017; 53:425-430. [PMID: 28065612 DOI: 10.1016/j.ejvs.2016.11.026] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/21/2016] [Accepted: 11/30/2016] [Indexed: 01/16/2023]
Abstract
OBJECTIVE The vertebral tortuosity index (VTI) predicts increased risk of acute aortic events in patients with known genetic aortopathies. This study describes the VTI in a cohort of patients with non-connective tissue disorder-related large aneurysms. METHODS Hospital imaging records from July 2012 to March 2016 were interrogated to identify patients with aneurysmal disease who had undergone computed tomographic angiography that included imaging of vertebral arteries. A control group of consecutive patients undergoing carotid and vertebral imaging was also assessed. VTI was calculated using the formula: [(centre-line distance) / (straight-line distance)-1] ×100 for all patients, and statistical analysis undertaken to determine whether measured VTI was statistically different in patients of younger age, with larger aneurysms, or an acute presentation. Comparison was made with patients who had no aneurysm disease. RESULTS Sixty-five patients were identified with adequate imaging to assess the entire aorta, including vertebral arteries. The majority of patients were male (71%, 46/65) and mean age at the time of the CT scan was 71 years (SD 11.1 years). There were 11 patients under the age of 60 years in this cohort. The mean VTI was 33.17 (SD 20.43). There was no statistically significant difference between different territories of presentation (proximal vs. distal aneurysm, p=.94), age of patient (>60 years vs. <60 years, p=.2), or size of aneurysm (>6 cm vs. <6 cm, p=.09). Acuity of presentation was not predicted by a higher VTI (p=.69). The VTI in patients with aneurysms was higher than in patients without aneurysm disease (VTI = 16.1, p<.005) CONCLUSIONS: An elevated VTI is consistently present in patients with degenerative aneurysms and has potential as a universally available predictive measurement. However, the increased VTI in the older cohort without connective tissue disease may not carry the same predictive value for acute presentations as has been demonstrated in younger patients with a known genetic basis for their aortopathy.
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Affiliation(s)
| | | | - M Davis
- Royal Free London, London, UK
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Han HC, Liu Q, Jiang ZL. Mechanical behavior and wall remodeling of blood vessels under axial twist. YI YONG SHENG WU LI XUE 2016; 31:319-326. [PMID: 28529430 PMCID: PMC5437748] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Blood vessels are often subjected to axial torsion (or twist) due to body movement or surgery. However, there are few studies on blood vessel under twist. This review first summarizes the clinical observation on the twist of blood vessels and then presents what we know about the mechanical behaviors of blood vessel under twist, including the constitutive models. The state of art researches on the remodeling of blood vessels under twist via ex vivo organ culture, in vivo animal experiments, and mathematical model simulations are further discussed. It is our hope that this review will draw attention for further in-depth studies on the behavior and remodeling of blood vessels under twist.
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Affiliation(s)
- Hai-Chao Han
- Department of Mechanical Engineering, University of Texas at San Antonio, San Antonio, TX 78249, USA
- Institute of Mechanobiology & Medical Engineering, School of Life Sciences & Biotechnology, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Qin Liu
- Department of Mechanical Engineering, University of Texas at San Antonio, San Antonio, TX 78249, USA
| | - Zong-Lai Jiang
- Institute of Mechanobiology & Medical Engineering, School of Life Sciences & Biotechnology, Shanghai Jiao Tong University, Shanghai 200240, China
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Artery buckling analysis using a two-layered wall model with collagen dispersion. J Mech Behav Biomed Mater 2016; 60:515-524. [PMID: 27031686 DOI: 10.1016/j.jmbbm.2016.03.007] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/28/2015] [Revised: 02/24/2016] [Accepted: 03/09/2016] [Indexed: 01/23/2023]
Abstract
Artery buckling has been proposed as a possible cause for artery tortuosity associated with various vascular diseases. Since microstructure of arterial wall changes with aging and diseases, it is essential to establish the relationship between microscopic wall structure and artery buckling behavior. The objective of this study was to developed arterial buckling equations to incorporate the two-layered wall structure with dispersed collagen fiber distribution. Seven porcine carotid arteries were tested for buckling to determine their critical buckling pressures at different axial stretch ratios. The mechanical properties of these intact arteries and their intima-media layer were determined via pressurized inflation test. Collagen alignment was measured from histological sections and modeled by a modified von-Mises distribution. Buckling equations were developed accordingly using microstructure-motivated strain energy function. Our results demonstrated that collagen fibers disperse around two mean orientations symmetrically to the circumferential direction (39.02°±3.04°) in the adventitia layer; while aligning closely in the circumferential direction (2.06°±3.88°) in the media layer. The microstructure based two-layered model with collagen fiber dispersion described the buckling behavior of arteries well with the model predicted critical pressures match well with the experimental measurement. Parametric studies showed that with increasing fiber dispersion parameter, the predicted critical buckling pressure increases. These results validate the microstructure-based model equations for artery buckling and set a base for further studies to predict the stability of arteries due to microstructural changes associated with vascular diseases and aging.
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Xiao Y, Hayman D, Khalafvand SS, Lindsey ML, Han HC. Artery buckling stimulates cell proliferation and NF-κB signaling. Am J Physiol Heart Circ Physiol 2015; 307:H542-51. [PMID: 24929858 DOI: 10.1152/ajpheart.00079.2014] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
Abstract
Tortuous carotid arteries are often seen in aged populations and are associated with atherosclerosis, but the underlying mechanisms to explain this preference are unclear. Artery buckling has been suggested as one potential mechanism for the development of tortuous arteries. The objective of this study, accordingly, was to determine the effect of buckling on cell proliferation and associated NF-κB activation in arteries. We developed a technique to generate buckling in porcine carotid arteries using long artery segments in organ culture without changing the pressure, flow rate, and axial stretch ratio. Using this technique, we examined the effect of buckling on arterial wall remodeling in 4-day organ culture under normal and hypertensive pressures. Cell proliferation, NF-κB p65, IκB-α, ERK1/2, and caspase-3 were detected using immunohistochemistry staining and immunoblot analysis. Our results showed that cell proliferation was elevated 5.8-fold in the buckling group under hypertensive pressure (n = 7, P < 0.01) with higher levels of NF-κB nuclear translocation and IκB-α degradation (P < 0.05 for both). Greater numbers of proliferating cells were observed on the inner curve side of the buckled arteries compared with the outer curve side (P < 0.01). NF-κB colocalized with proliferative nuclei. Computational simulations using a fluid-structure interaction model showed reduced wall stress on the inner side of buckled arteries and elevated wall stress on the outer side. We conclude that arterial buckling promotes site-specific wall remodeling with increased cell proliferation and NF-κB activation. These findings shed light on the biomechanical and molecular mechanisms of the pathogenesis of atherosclerosis in tortuous arteries.
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Vandiver RM. Buckling instability in arteries. J Theor Biol 2015; 371:1-8. [DOI: 10.1016/j.jtbi.2015.01.039] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/04/2014] [Revised: 01/27/2015] [Accepted: 01/28/2015] [Indexed: 11/29/2022]
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Saeid Khalafvand S, Han HC. Stability of carotid artery under steady-state and pulsatile blood flow: a fluid-structure interaction study. J Biomech Eng 2015; 137:061007. [PMID: 25761257 DOI: 10.1115/1.4030011] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2014] [Indexed: 11/08/2022]
Abstract
It has been shown that arteries may buckle into tortuous shapes under lumen pressure, which in turn could alter blood flow. However, the mechanisms of artery instability under pulsatile flow have not been fully understood. The objective of this study was to simulate the buckling and post-buckling behaviors of the carotid artery under pulsatile flow using a fully coupled fluid-structure interaction (FSI) method. The artery wall was modeled as a nonlinear material with a two-fiber strain-energy function. FSI simulations were performed under steady-state flow and pulsatile flow conditions with a prescribed flow velocity profile at the inlet and different pressures at the outlet to determine the critical buckling pressure. Simulations were performed for normal (160 ml/min) and high (350 ml/min) flow rates and normal (1.5) and reduced (1.3) axial stretch ratios to determine the effects of flow rate and axial tension on stability. The results showed that an artery buckled when the lumen pressure exceeded a critical value. The critical mean buckling pressure at pulsatile flow was 17-23% smaller than at steady-state flow. For both steady-state and pulsatile flow, the high flow rate had very little effect (<5%) on the critical buckling pressure. The fluid and wall stresses were drastically altered at the location with maximum deflection. The maximum lumen shear stress occurred at the inner side of the bend and maximum tensile wall stresses occurred at the outer side. These findings improve our understanding of artery instability in vivo.
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Luetkemeyer CM, James RH, Devarakonda ST, Le VP, Liu Q, Han HC, Wagenseil JE. Critical buckling pressure in mouse carotid arteries with altered elastic fibers. J Mech Behav Biomed Mater 2015; 46:69-82. [PMID: 25771258 DOI: 10.1016/j.jmbbm.2015.02.013] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/10/2014] [Revised: 02/05/2015] [Accepted: 02/18/2015] [Indexed: 01/01/2023]
Abstract
Arteries can buckle axially under applied critical buckling pressure due to a mechanical instability. Buckling can cause arterial tortuosity leading to flow irregularities and stroke. Genetic mutations in elastic fiber proteins are associated with arterial tortuosity in humans and mice, and may be the result of alterations in critical buckling pressure. Hence, the objective of this study is to investigate how genetic defects in elastic fibers affect buckling pressure. We use mouse models of human disease with reduced amounts of elastin (Eln+/-) and with defects in elastic fiber assembly due to the absence of fibulin-5 (Fbln5-/-). We find that Eln+/- arteries have reduced buckling pressure compared to their wild-type controls. Fbln5-/- arteries have similar buckling pressure to wild-type at low axial stretch, but increased buckling pressure at high stretch. We fit material parameters to mechanical test data for Eln+/-, Fbln5-/- and wild-type arteries using Fung and four-fiber strain energy functions. Fitted parameters are used to predict theoretical buckling pressure based on equilibrium of an inflated, buckled, thick-walled cylinder. In general, the theoretical predictions underestimate the buckling pressure at low axial stretch and overestimate the buckling pressure at high stretch. The theoretical predictions with both models replicate the increased buckling pressure at high stretch for Fbln5-/- arteries, but the four-fiber model predictions best match the experimental trends in buckling pressure changes with axial stretch. This study provides experimental and theoretical methods for further investigating the influence of genetic mutations in elastic fibers on buckling behavior and the development of arterial tortuosity.
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Affiliation(s)
- Callan M Luetkemeyer
- Department of Biomedical Engineering, Saint Louis University, St. Louis, MO, United States
| | - Rhys H James
- Department of Biomedical Engineering, Saint Louis University, St. Louis, MO, United States
| | - Siva Teja Devarakonda
- Department of Biomedical Engineering, Saint Louis University, St. Louis, MO, United States
| | - Victoria P Le
- Department of Biomedical Engineering, Saint Louis University, St. Louis, MO, United States
| | - Qin Liu
- Department of Mechanical and Biomedical Engineering, University of Texas at San Antonio, San Antonio, TX, United States
| | - Hai-Chao Han
- Department of Mechanical and Biomedical Engineering, University of Texas at San Antonio, San Antonio, TX, United States
| | - Jessica E Wagenseil
- Department of Mechanical Engineering and Materials Science, Washington University, St. Louis, MO, United States.
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