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OWIDA AMAL, DO HUNG, YANG WILLIAM, MORSI YOSS. PIV MEASUREMENTS AND NUMERICAL VALIDATION OF END-TO-SIDE ANASTOMOSIS. J MECH MED BIOL 2012. [DOI: 10.1142/s0219519410003265] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
In this article, particle image velocimetry (PIV) technique was used to determine the instantaneous velocity fields inside a model of end-to-side anastomosis under various physiological flow conditions. Using ANSYS software, a three-dimensional (3D) computational model at the peak systolic blood flow was simulated. The numerical and experimental results were presented and discussed in terms of velocity fields at various locations along the graft and the host artery. The numerical results were then compared with the experimental data and a large difference was found, which was attributed to the imperfection of manufacturing the glass model and measurements error associated with PIV. The findings indicated in general that the analysis at peak systole, steady flow could help in providing essential quantitative information of the hemodynamics in anastomotic artery.
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Affiliation(s)
- AMAL OWIDA
- Biomechanics and Tissue Engineering Group, Swinburne University of Technology, Hawthorn, Melbourne, VIC, Australia
| | - HUNG DO
- Biomechanics and Tissue Engineering Group, Swinburne University of Technology, Hawthorn, Melbourne, VIC, Australia
| | - WILLIAM YANG
- Biomechanics and Tissue Engineering Group, Swinburne University of Technology, Hawthorn, Melbourne, VIC, Australia
- Division of Minerals, CSIRO, Melbourne, VIC, Australia
| | - YOS S. MORSI
- Biomechanics and Tissue Engineering Group, Swinburne University of Technology, Hawthorn, Melbourne, VIC, Australia
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2
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Chua LP, Ji WF, Yu CM, Zhou TM, Tan YS. Particle image velocimetry measurements of three proximal anastomosis models under a pulsatile flow condition. Proc Inst Mech Eng H 2008; 222:249-63. [DOI: 10.1243/09544119jeim141] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
This study was designed to examine the effects of the anastomotic angle on the flow and haemodynamic parameter distribution patterns of the proximal anastomoses, with emphasis on identifying site-specific haemodynamic features that could reasonably be expected to trigger the initiation and further development of anastomotic intimal hyperplasia. Particle image velocimetry measurements were carried out with three simplified glass proximal models under a physiological flow condition. The results revealed that the disturbed flow and the induced shear stress patterns including low recirculation flow, stagnation point, high wall shear stress, high temporal wall shear stress gradient, low time-averaged wall shear stress (TAWSS), and high oscillating shear index (OSI) occurred around the anastomotic joints and the flow field at proximal anastomosis was strongly affected by the anastomotic angle. Among the three models investigated, the 45° backward anastomosis is found to have a smaller low-recirculation-flow region along the graft inner wall, non-stationary stagnation, and separation points, a higher TAWSS and smaller high-OSI low-TAWSS and low-OSI high-TAWSS regions.
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Affiliation(s)
- L P Chua
- School of Mechanical and Aerospace Engineering, Thermal and Fluids Engineering Division, Nanyang Technological University, Singapore
| | - W-F Ji
- School of Mechanical and Aerospace Engineering, Thermal and Fluids Engineering Division, Nanyang Technological University, Singapore
| | - C M Yu
- School of Mechanical and Aerospace Engineering, Thermal and Fluids Engineering Division, Nanyang Technological University, Singapore
| | - T-M Zhou
- School of Mechanical and Aerospace Engineering, Thermal and Fluids Engineering Division, Nanyang Technological University, Singapore
| | - Y S Tan
- National Heart Centre, Singapore
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3
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Zhang JM, Chua LP, Ghista DN, Zhou TM, Tan YS. Validation of numerical simulation with PIV measurements for two anastomosis models. Med Eng Phys 2008; 30:226-47. [PMID: 17466565 DOI: 10.1016/j.medengphy.2007.02.004] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/24/2006] [Revised: 01/11/2007] [Accepted: 02/09/2007] [Indexed: 11/24/2022]
Abstract
Hemodynamics is widely believed to influence coronary artery bypass graft (CABG) stenosis. Although distal anastomosis has been extensively investigated, further studies on proximal anastomosis are still necessary, as the extent and initiation of the stenosis process may be influenced by the flow of the proximal anastomosis per se. Therefore, in this study, two models (i.e. 90 degrees and 135 degrees anastomotic models) were designed and constructed to simulate a proximal anastomosis of CABG for the left and right coronary arteries, respectively. Flow characteristics for these models were studied experimentally in order to validate the simulation results found earlier. PIV measurements were carried out on two Pyrex glass models, so that the disturbed flow (stagnation point, flow separation and vortex) found in both proximal anastomosis models using numerical simulation, could be verified. Consequently, a fair agreement between numerical and experimental data was observed in terms of flow characteristics, velocity profiles and wall shear stress (WSS) distributions under both steady and pulsatile flow conditions. The discrepancy was postulated to be due to the difference in detailed geometry of the physical and computational models, due to manufacturing limitations. It was not possible to reproduce the exact shape of the computational model when making the Pyrex glass model. The analysis of the hemodynamic parameters based on the numerical simulation study also suggested that the 135 degrees proximal anastomosis model would alleviate the potential of intimal thickening and/or atherosclerosis, more than that of a 90 degrees proximal anastomosis model, as it had a lower variation range of time-averaged WSS and the lower segmental average of WSSG.
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Affiliation(s)
- Jun-Mei Zhang
- School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore
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4
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Politis AK, Stavropoulos GP, Christolis MN, Panagopoulos PG, Vlachos NS, Markatos NC. Numerical modelling of simulated blood flow in idealized composite arterial coronary grafts: Transient flow. J Biomech 2008; 41:25-39. [PMID: 17905256 DOI: 10.1016/j.jbiomech.2007.08.007] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/07/2007] [Revised: 07/31/2007] [Accepted: 08/02/2007] [Indexed: 11/30/2022]
Abstract
In composite arterial coronary grafts (CACGs), transport phenomena and geometry may considerably alter blood flow dynamics. CACGs aim at revascularizing pathological arteries according to the human anatomy. However, the exact mechanisms causing the failure of coronary bypass grafting are not yet well elucidated. In the present study, computational fluid dynamics (CFD) techniques are applied for the simulation of multi-branched CACGs under physiologically realistic inflow waveforms. The numerical solution is obtained by a finite-volume method formulated in non-orthogonal, curvilinear coordinates and a multi-grid approach. The geometrical models, consisting of idealized and rigid vessels, include the typical T- and a rather new pi-graft configuration. The stenotic effect is also investigated by comparing computational results for three different degrees of area constriction, namely 25%, 50% and 75%, as well as the case without stenosis. Different grafting distances and various inflow rate ratios are imposed, to give an insight into haemodynamical alterations of CACGs and to study the process of restenosis. The results focus on the interaction between the grafts and coronary flows in terms of spatial and temporal variations of velocity and wall shear stress (WSS) distribution. Prominent variations among the different geometries, concerning the velocity profiles and secondary flow motion, are shown. Moreover, the residual flow emerging from different degrees of area constriction shows that low and oscillating shear stresses may arise for even moderate stenotic fields.
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Affiliation(s)
- A K Politis
- School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Str., Zographou Campus, 15780 Athens, Attiki, Greece
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5
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Van Tricht I, De Wachter D, Tordoir J, Verdonck P. Comparison of the hemodynamics in 6mm and 4-7 mm hemodialysis grafts by means of CFD. J Biomech 2006; 39:226-36. [PMID: 16321624 DOI: 10.1016/j.jbiomech.2004.12.003] [Citation(s) in RCA: 50] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2004] [Accepted: 12/07/2004] [Indexed: 11/24/2022]
Abstract
The aim of our study is to investigate with computational fluid dynamics (CFD) whether different arterial anastomotic geometries result in a different hemodynamics at the arterial (AA) and venous anastomosis (VA) of hemodialysis vascular access grafts. We have studied a 6mm graft (CD) and a 4-7 mm graft (TG). A validated three-dimensional CFD model is developed to simulate flow in the two graft types. Only the arterial anastomosis (AA) geometry differs. The boundary conditions applied are a periodic velocity signal at the arterial inlet and a periodic pressure wave at the venous outlet. Flow rate is set to 1,000 ml/min. The time dependent Navier-Stokes equations are solved. Wall shear stress (WSS), wall shear stress gradient (WSSG) and pressure gradient (PG) are calculated. Anastomotic flow is asymmetric although the anastomosis geometry is symmetric. The hemodynamic parameters, WSS, WSSG and PG, values at the suture line of the arterial anastomosis of the TG are at least twice as much as in the CD. Comparing the parameters at the two AA indicate that little flow rate increase introduces the risk of hemolysis in the TG whereas the CD is completely free of hemolysis. The hemodynamic parameter values at the venous anastomosis of the CD are 24 till 35% higher compared to the values of the TG. WSS values (> 3 Pa) in the VA are in the critical range for stenosis development in both graft geometries. The zones where the parameters reach extreme values correspond to the locations where intimal hyperplasia formation is reported in literature. In all anastomoses, the hemodynamic parameter levels are in the range where leucocytes and platelets get activated. Our simulations confirm clinical results where TG did not show a better outcome when compared to the CD.
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Affiliation(s)
- Ilse Van Tricht
- Hydraulics Laboratory, Institute Biomedical Technology, Ghent University, Sint-Pietersnieuwstraat 41, Oost-Vlaanderen, Belgium.
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6
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Chua LP, Zhang JM, Yu SCM, Ghista DN, Tan YS. Numerical Study on the Pulsatile Flow Characteristics of Proximal Anastomotic Models. Proc Inst Mech Eng H 2005; 219:361-79. [PMID: 16225153 DOI: 10.1243/095441105x34338] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Haemodynamics was widely believed to correlate with anastomosis restenosis. Utilizing the haemodynamic parameters as indicator functions, distal anastomosis was redesigned by some researchers so as to improve the long-term graft patency rate. However, there were few studies upon the proximal anastomosis. Therefore, in this study, flow characteristics and distributions of the haemodynamic parameters in proximal anastomosis under physiological flow condition have been investigated numerically for three different grafting angles: namely, 45° forward facing, 45° backward facing, and 90° anastomotic joints. The simulation results showed a flow separation region along the graft inner wall immediately after the heel at peak flow phase and it decreased in size with the grafting angle shifting from 45° forward facing to 45° backward facing. At the same time, a pair of vortex was found in the cross-sectional planes of the 45° backward facing and 90° grafts. In addition, stagnation point was found along the graft outer wall with small shifting during the physiological cycle. High spatial and temporal wall shear stresses gradients (WSSG) were observed around the anastomotic joint. Low time-averaged wall shear stress (WSS) with elevated oscillation shear index (OSI) was found near the middle of anastomosis at the aorta wall and along the graft inner wall respectively, while high time-averaged WSS with low OSI was found at the heel, the toe, and the region downstream of the toe. These regions correlated to early lesion growth. Elevated time-averaged WSSG was found at the same region, where the elevated low-density lipoprotein (LDL) permeability was observed as reported in the literature. The existence of nearly fixed stagnating location, flow separation, vortex, high time-averaged WSS with low OSI, low time-averaged WSS with elevated OSI, and high time-averaged WSSG may lead to graft stenosis. Moreover, the simulation results obtained were consistent with those of experimental measurements. Based on the validated simulation results, the 45° backward-facing graft was found to have the lowest variation range of time-averaged WSS and the lowest segmental average of WSSG among the three models investigated. The 45° backward-facing graft is thus recommended for the bypass operation with expected higher patency rate.
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Affiliation(s)
- L P Chua
- Thermal and Fluids Engineering Division, School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore.
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7
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Li XM, Rittgers SE. Computational simulation of biomechanics in e-PTFE and venous Miller's cuffs: implications for intimal hyperplasia. J Med Eng Technol 2005; 29:187-96. [PMID: 16012071 DOI: 10.1080/03091900412331286387] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Abstract
A computational distal end-to-side Miller's cuff anastomotic model was used to analyse the possible difference in intimal hyperplasia (IH) formed between e-PTFE and venous cuffs. A large strain FEA model was used to compute the strain after physiological loading and the deformed geometries used as wall boundaries for CFD analysis. Regression analysis was performed to investigate relationships between mechanical factors and prior IH. The results showed that the venous Miller's cuff anastomosis deformed twice as much as the e-PTFE cuff and that the expansion of both cuffs generated elevated strains in the artery floor while the fluid shear indices were qualitatively similar in each case. In the e-PTFE cuff, the strain and OSI correlated with IH in a proportional and equivalent manner; however, these regressions grossly over-estimated the predicted IH in the vein cuff. Thus, biomechanical effects may be important in synthetically cuffed anastomoses, but do not account for the reduced IH in venous cuffed anastomoses.
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Affiliation(s)
- X-M Li
- Department of Biomedical Engineering, Duke University, Durham, NC, 27708-0281, USA.
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8
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Migliavacca F, Dubini G. Computational modeling of vascular anastomoses. Biomech Model Mechanobiol 2005; 3:235-50. [PMID: 15772842 DOI: 10.1007/s10237-005-0070-2] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2004] [Accepted: 12/28/2004] [Indexed: 10/25/2022]
Abstract
Recent development of computational technology allows a level of knowledge of biomechanical factors in the healthy or pathological cardiovascular system that was unthinkable a few years ago. In particular, computational fluid dynamics (CFD) and computational structural (CS) analyses have been used to evaluate specific quantities, such as fluid and wall stresses and strains, which are very difficult to measure in vivo. Indeed, CFD and CS offer much more variability and resolution than in vitro and in vivo methods, yet computations must be validated by careful comparison with experimental and clinical data. The enormous parallel development of clinical imaging such as magnetic resonance or computed tomography opens a new way toward a detailed patient-specific description of the actual hemodynamics and structural behavior of living tissues. Coupling of CFD/CS and clinical images is becoming a standard evaluation that is expected to become part of the clinical practice in the diagnosis and in the surgical planning in advanced medical centers. This review focuses on computational studies of fluid and structural dynamics of a number of vascular anastomoses: the coronary bypass graft anastomoses, the arterial peripheral anastomoses, the arterio-venous graft anastomoses and the vascular anastomoses performed in the correction of congenital heart diseases.
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Affiliation(s)
- Francesco Migliavacca
- Bioengineering and Structural Engineering Department, Laboratory of Biological Structure Mechanics, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133, Milan, Italy.
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9
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Leask RL, Butany J, Johnston KW, Ethier CR, Ojha M. Human Saphenous Vein Coronary Artery Bypass Graft Morphology, Geometry and Hemodynamics. Ann Biomed Eng 2005; 33:301-9. [PMID: 15868720 DOI: 10.1007/s10439-005-1732-z] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Abstract
Coronary artery bypass graft (CABG) failure has been linked to graft hemodynamics, in particular wall shear stress. This study characterizes the morphology, geometry and wall shear stress patterns in human CABGs. The intimal thickness (IT) in 49 human saphenous vein CABGs was measured by digital light microscopy. The geometry of six saphenous vein CABGs was replicated by post-mortem infusion of Batson's #17 anatomical corrosion casting compound. Graft hemodynamics were evaluated in two flow models, fabricated from the casts, under steady (Re = 110) and pulsatile flow (Re = 110, alpha = 2) conditions. Saphenous vein CABGs in situ for more than 2 months had, on average, the greatest IT on the hood and suture sites of the distal anastomosis. Floor thickening was highly variable and significantly less than IT at the hood, suture site and graft body. All casts showed an indentation along the floor and 5/6 casts displayed a sharp local curvature on the hood. In both flow models, a large increase in wall shear rate occurred on the hood, just proximal to the toe. The local geometry of the hood created this large spatial gradient in wall shear stress which is a likely factor in hood intimal hyperplasia.
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Affiliation(s)
- Richard L Leask
- Department of Chemical Engineering, McGill University, Montreal, Quebec.
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10
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McLennan G. The Molecular Basis of PTA Stenosis. J Vasc Interv Radiol 2004. [DOI: 10.1016/s1051-0443(04)70214-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022] Open
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11
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Heise M, Krüger U, Rückert R, Pfitzman R, Neuhaus P, Settmacher U. Correlation of Intimal Hyperplasia Development and Shear Stress Distribution at the Distal End-side-anastomosis, in vitro Study Using Particle Image Velocimetry. Eur J Vasc Endovasc Surg 2003; 26:357-66. [PMID: 14511996 DOI: 10.1016/s1078-5884(02)00567-1] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Abstract
Low shear areas at the distal anastomosis of peripheral bypasses are thought to promote neointimal hyperplasia. In this study we evaluated the fluid dynamic environment at the distal anastomosis of peripheral bypasses by means of a new method for in vitro flow visualization and quantitative velocity field measurement. A silastic model of a distal end-side anastomosis was attached to a mock circulation loop driven by an artificial heart. High resolution velocity fields were measured by means of particle image velocimetry (PIV). The velocity vector data were used to calculate vorticity omega, strain rates ex, shear rates h and shear stresses tau. Two separations and a stagnation zone were identified by means of flow visualization. Measured velocities inside the three zones were significantly lower than in the high velocity mainstream. Calculated shear rates and shear stresses inside the zones were significantly lower than human wall shear rates. At the transition between the effective mainstream and the boundary layers high vorticity and compressive strain fields existed, indicating the presence of high shear forces. The locations of these areas corresponded to the well known zones of intimal hyperplasia. The high resolution shear stress analysis supports the low shear theory of intimal hyperplasia development. A wall diversion angle greater than 6 degrees leads to flow separation and presumed IH promotion until high shear transition areas are reached.
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Affiliation(s)
- M Heise
- Charité, Campus Virchow Klinikum, Department of General, Transplantation and Vascular Surgery, Augustenburger Platz 1, 13353 Berlin, Germany
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12
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Bates CJ, O'Doherty DM, Williams D. Flow instabilities in a graft anastomosis: a study of the instantaneous velocity fields. Proc Inst Mech Eng H 2002; 215:579-87. [PMID: 11848390 DOI: 10.1243/0954411011536181] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The major cause of arterial bypass graft failure is intimal hyperplasia. Fluctuating wall shear stresses in the graft, which are associated with disturbed flow, are believed to be important factors in the development and localization of intimal hyperplasia. This study, based upon water as the working fluid, has investigated the flow structure inside a 30 degree Y-junction with different fillet radii at the intersection between the graft and the host artery at various Reynolds numbers and distal outlet segment (DOS) to proximal outlet segment (POS) flow ratios. The structure of the flow has been investigated experimentally using particle image velocimetry (PIV). The two-dimensional instantaneous velocity fields confirm the existence of a very complex flow, especially in the toe and heel regions for the different fillet radii and clearly identify features such as sinks, sources, vortices and strong time dependency.
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Affiliation(s)
- C J Bates
- Division of Mechanical Engineering and Energy Studies, Cardiff School of Engineering, Cardiff University, Wales, UK
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13
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Salacinski HJ, Goldner S, Giudiceandrea A, Hamilton G, Seifalian AM, Edwards A, Carson RJ. The mechanical behavior of vascular grafts: a review. J Biomater Appl 2001; 15:241-78. [PMID: 11261602 DOI: 10.1106/na5t-j57a-jtdd-fd04] [Citation(s) in RCA: 248] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
Abstract
The development of intimal hyperplasia (IH) near the anastomosis of a vascular graft to artery is directly related to changes in the wall shear rate distribution. Mismatch in compliance and diameter at the end-to-end anastomosis of a compliant artery and rigid graft cause shear rate disturbances that may induce intimal hyperplasia and ultimately graft failure. The principal strategy being developed to prevent IH is based on the design and fabrication of compliant synthetic or innovative tissue-engineered grafts with viscoelastic properties that mirror those of the human artery. The goal of this review is to discuss how mechanical properties including compliance mismatch, diameter mismatch, Young's modulus and impedance phase angle affect graft failure due to intimal hyperplasia.
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Affiliation(s)
- H J Salacinski
- University Department of Surgery, Royal Free and University College Medical School, University College London and The Royal Free Hospital, UK.
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14
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Tsukurov OI, Kwolek CJ, L'Italien GJ, Benbrahim A, Milinazzo BB, Conroy NE, Gertler JP, Orkin RW, Abbott WM. The response of adult human saphenous vein endothelial cells to combined pressurized pulsatile flow and cyclic strain, in vitro. Ann Vasc Surg 2000; 14:260-7. [PMID: 10796958 DOI: 10.1007/s100169910044] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
Abstract
Adult human saphenous vein endothelial cells (HVEC) were cultured in a compliant tubular device and evaluated by Northern hybridization for the effects of combined pressurized pulsatile flow and cyclic strain on the expression of mRNAs for endothelin-1 (ET-1), endothelial cell nitric oxide synthase (ecNOS), tissue plasminogen activator (tPA), and plasminogen activator inhibitor type 1 (PAI-1). The hemodynamic environment was designed to mimic shear stress conditions at the distal anastomosis of a saphenous vein graft, a common site of intimal proliferation. Steady-state mRNA levels in experimental tubes were expressed relative to that in controls. No changes were observed in ET-1 mRNA after 1 and 24 hr, but a 50% decrease in experimental cultures was observed after 48 hr in the vascular simulating device. Similar results were obtained for ecNOS mRNA, although a subgroup (4 of 11) showed a significant decrease (>50%) by 24 hr. For tPA mRNA, no change was observed after 1 hr, but a significant decrease (>60%) was measured after 24 hr and no message was detectable after 48 hr. Steady-state levels for PAI-1 mRNA remained unchanged through 48 hr of treatment. These results show that pressure, pulsatile flow, and cyclic strain, when applied in concert, differentially alter vasoactive and fibrinolytic functions in HVEC. Moreover, the dramatic decrease in steady-state levels of tPA mRNA is consistent with a shift toward an increased thrombotic state.
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Affiliation(s)
- O I Tsukurov
- Division of Vascular Surgery, Surgical Service, Massachusetts General Hospital and Department of Surgery, Harvard Medical School, Boston, MA 02114, USA
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15
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Lemson MS, Tordoir JH, Daemen MJ, Kitslaar PJ. Intimal hyperplasia in vascular grafts. Eur J Vasc Endovasc Surg 2000; 19:336-50. [PMID: 10801366 DOI: 10.1053/ejvs.1999.1040] [Citation(s) in RCA: 146] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- M S Lemson
- Department of Surgery, University Hospital Maastricht, The Netherlands
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16
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Abstract
In the last 40 years, as techniques and materials have improved, the success rate of vascular prostheses with a diameter greater than 6mm has risen steadily, 5-year survival rates exceeding 95% in most centres. With smaller grafts no comparable improvement has occurred, the majority failing within 5 years, usually as a result of intimal hyperplasia and, ultimately atherosclerosis, in and around the downstream anastomosis. Clinical evidence suggests that the patency rates of small grafts are improved by matching the elastic properties of the graft to that of the artery into which it is placed. Although there is little reliable evidence that 'elastic mismatch' per se is the cause of intimal hyperplasia, it is generally accepted that mechanical factors are important in its genesis. These include disturbed flow at the anastomosis leading to fluctuations in shear stress at the endothelium (a known cause of intimal hyperplasia in normal arteries), injury due to suturing and stress concentration at the anastomosis. Few suitable materials or techniques have yet been developed to improve the long-term survival rates of small grafts. Recent advances in tissue engineering in which prostheses are manufactured by culturing vascular smooth muscle cells on a tubular scaffold of biodegradable polymer may ultimately make it possible to manufacture biologically and haemodynamically compatible grafts with diameters as small as 1mm.
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Affiliation(s)
- S E Greenwald
- Department of Morbid Anatomy and Histopathology, St. Bartholomew's and The Royal London School of Medicine and Dentistry, Royal London Hospital, Whitechapel Road, London E1 1BB, UK.
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17
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Noori N, Scherer R, Perktold K, Czerny M, Karner G, Trubel M, Polterauer P, Schima H. Blood flow in distal end-to-side anastomoses with PTFE and a venous patch: results of an in vitro flow visualisation study. Eur J Vasc Endovasc Surg 1999; 18:191-200. [PMID: 10479625 DOI: 10.1053/ejvs.1998.0802] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
OBJECTIVES non-physiological flow behaviour plays a significant role in the development of distal anastomotic intimal hyperplasia. To investigate flow patterns in four anastomotic types of femoral end-to-side distal bypass graft anastomoses, a flow visualisation study was performed. METHODS transparent 1:1 casted replicas of distal vascular graft anastomoses created by conventional technique, Miller-cuff, Taylor- and Linton-patch were fabricated. A pulsatile mock circulation with a high-speed video system was constructed. Flow pattern was determined at mean Reynolds numbers 100-500. Migrations of the stagnation points on the bottom of the anastomoses at mean Reynolds numbers 100, 230, and 350 were measured. RESULTS a vortex forms during early systole and increases to maximum systole in all anastomoses. During the diastolic phase the vortex moves in the Miller-cuff distally to the toe of the anastomosis and remains standing, while in the other anastomotic types the vortex moves proximally to the heal of the junction and breaks down. The shift of the stagnation point in the Miller-cuff was considerably smaller than in the other anastomoses. CONCLUSION conventional, Linton and Taylor anastomoses show similar flow patterns. The Miller-cuff with its wider cavity shows lower shift of the bottom stagnation point, but a persistent washout of the anastomotic cavity, which may contribute to its reported good clinical performance.
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Affiliation(s)
- N Noori
- Department of Vascular Surgery, LBI of Cardiosurgical Research, Austria
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18
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Gaupp S, Wang Y, How TV, Fish PJ. Characterisation of vortex shedding in vascular anastomosis models using pulsed Doppler ultrasound. J Biomech 1999; 32:639-45. [PMID: 10400350 DOI: 10.1016/s0021-9290(99)00056-1] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
Abstract
Vortex shedding at vascular anastomoses were investigated in vitro using a 20 MHz pulsed-wave Doppler velocimeter. Centreline velocity measurements were made at various axial distances in simplified polyurethane models of proximal and distal end-to-side anastomoses of angles 15, 30, 45, 60 and 80 degrees using pulsatile flow waveforms similar to those in femoropopliteal bypass grafts. The in-phase and quadrature Doppler signals were recorded and the maximum frequency waveform, averaged over 64 cycles, was obtained using short-time Fourier transform. A fourth-order Butterworth low-pass filter was employed to separate the vortex velocity signal from the convective velocity. The vortex signal envelope was calculated using a Hilbert transform method and the vortex amplitude was taken as the maximum of this envelope. The results show that higher vortex amplitude were found in the proximal anastomoses and under resting flow conditions. Although the vortex amplitudes generally increased with angles of anastomosis, they were found to be higher in the 60 degrees than in the 80 degrees proximal anastomosis. The vortex structures were investigated using spectrograms and these show prominent features at 40-50 Hz indicative of the short-duration oscillatory signals during the decelerative phase of systole expected from the passage of vortices. The study indicates that flow disturbances due to vortex shedding may be a common feature in femoropopliteal bypass grafts.
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Affiliation(s)
- S Gaupp
- Department of Clinical Engineering, University of Liverpool, UK
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19
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Randone B, Cucina A, Graziano P, Corvino V, Cavallaro G, Palmieri I, Cavallaro A, Sterpetti AV. Suppression of smooth muscle cell proliferation after experimental PTFE arterial grafting: a role for polyclonal anti-basic fibroblast growth factor (bFGF) antibody. Eur J Vasc Endovasc Surg 1998; 16:401-7. [PMID: 9854551 DOI: 10.1016/s1078-5884(98)80007-5] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Abstract
OBJECTIVES To determine the role of polyclonal anti-basic Fibroblast Growth Factor (bFGF) antibody in inhibiting the proliferation of smooth muscle cells after experimental polytetrafluorethilene (PTFE) arterial grafting. MATERIALS In 14 male inbred Lewis rats (weight 250 mg) a 1 cm long segment of PTFE was interposed at the level of abdominal aorta. Animals were randomised to receive polyclonal anti-bFGF antibody (group A: n = seven animals) or aspecific immunoglobulin (group B: n = seven animals). Anti-bFGF antibody or aspecific immunoglublin were given intraperitoneally at the end of operation, and for the first 2 postoperative days. Animals were sacrificed 7 days after surgery, 24 h after intraperitoneal injection of BromodeoxyUridin (BrdU) to label proliferating smooth muscle cells. RESULTS One animal in each group died in the immediate postoperative period due to anaesthetic problems. All grafts were patent at the time of sacrifice. BrdU labelling index was statistically higher in the control group B animals at the level of the anastomotic regions (proximal anastomosis: group B 7.9% vs. group A 4.1%. Distal anastomosis: group B 5.1% vs. group A 2.6% p = 0.009) and at the level of PTFE graft (group B 3.8% vs. group A 2.6% p = 0.002), while there was no statistical difference between the control thoracic aorta of the two groups. MAIN CONCLUSIONS bFGF plays a major role in the proliferation of smooth muscle cells at the level of the anastomoses after arterial PTFE grafting. Agents able to block the action of bFGF may be useful in inhibiting the formation of myointimal hyperplasia.
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Affiliation(s)
- B Randone
- Department of Surgery, University of Rome, La Sapienza, Italy
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Abstract
OBJECTIVE To review the mechanisms believed to be important in the development of vein graft stenosis, with particular attention placed on the adaptation of saphenous vein endothelium to a new haemodynamic environment. DESIGN AND METHODS Discussion based on review of published research. RESULTS The aetiology of vein graft stenosis remains to be established and appears to be multi-factorial. The increasing evidence for an important role of haemodynamic forces is discussed, particularly via the interaction of these force with the endothelium. CONCLUSION Further understanding of the interaction between haemodynamic forces, blood constituents and the newly implanted vein graft is required. Use of in vitro models is contributing increasing knowledge to this area, but ultimately better non-invasive methods of assessing haemodynamic forces in vivo are required.
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Affiliation(s)
- J Golledge
- Department of Surgery, Charing Cross and Westminster Medical School, London, U.K
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Ombrellaro MP, Stevens SL, Sciarrotta J, Schaeffer DO, Freeman MB, Goldman MH. Effect of balloon-expandable and self-expanding stent fixation on endoluminal polytetrafluoroethylene graft healing. Am J Surg 1997; 173:461-6. [PMID: 9207155 DOI: 10.1016/s0002-9610(97)00017-2] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Abstract
PURPOSE To investigate the effect of stent design and deployment mechanism on endoluminal graft healing. METHOD Twenty dogs underwent infrarenal abdominal aorta polytetrafluoroethylene (PTFE) interposition (6) or intraluminal stented grafting using either a balloon expandable (BE, n = 8) or self-expanding (SE, n = 6) stent design. Grafts were removed at 8 weeks. Length of endothelial ingrowth and intima to media height ratios (IMHR) were calculated. Perianastomotic smooth muscle (Actin+), macrophage (CD44+), proliferating (PCNA+), and platelet-derived growth factor (PDGF+) cell content were determined. RESULTS Mean endothelial ingrowth was 1.10 +/- 0.15 cm (control), 1.88 +/- 0.13 cm (BESG), and 2.16 +/- 0.18 cm (SESG) proximally; and 0.94 +/- 0.12, 2.11 +/- 0.11 cm, and 2.16 +/- 0.15 cm, respectively, at the distal anastomosis. Endothelial ingrowth was greater in all stented grafts (P <0.001). Mean IMHRs were 1.42 +/- 0.16 (control), 0.50 +/- 0.14 (BESG), and 0.77 +/- 0.2 (SESG) proximally; and 0.84 +/- 0.1, 0.42 +/- 0.09, and 0.77 +/- 0.12 (SESG) distally. Lower IMHRs were observed in all stented graft regions (P <0.05) except the distal anastomosis of SESG. The PDGF+ and PCNA+ cell content was decreased, and Actin+ cell content was increased in all stented grafts (P <0.05). CONCLUSION Intraluminal location enhances endothelialization and attenuates intimal thickening in PTFE grafts. The enhanced healing of intraluminal stented grafts is irrespective of the type of stent or deployment mechanism used.
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Affiliation(s)
- M P Ombrellaro
- Department of Surgery, University of Tennessee Medical Center, Knoxville 37920, USA
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23
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Jones SA, Giddens DP, Loth F, Zarins CK, Kajiya F, Morita I, Hiramatsu O, Ogasawara Y, Tsujioka K. In-vivo measurements of blood flow velocity profiles in canine ilio-femoral anastomotic bypass grafts. J Biomech Eng 1997; 119:30-8. [PMID: 9083846 DOI: 10.1115/1.2796061] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Abstract
In-vivo velocity profiles were recorded with a 20 MHz 80-channel pulsed Doppler ultrasound velocimeter in canine end-to-side ilio-femoral anastomotic grafts. The geometries were obtained from casts of the anastomotic region, and flow rates were measured with electromagnetic flow probes. Three cases reported here include a "standard" geometry, which was similar to previously studied in vitro models, a stenosed geometry, and a case with below average flow rate. Observed flow features include separation at the hood and toe, movement of the floor stagnation point, and skewed profiles in the proximal outflow segment. Out-of-plane curvature and lateral displacement of the anastomosis inlet appear to have a strong effect on the flow fields. In addition, compliance affects the instantaneous flow rates within the proximal and distal branches.
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Affiliation(s)
- S A Jones
- Department of Biomedical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA
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24
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Sterpetti AV, Lepidi S, Cucino A, Patrizi AL, Palumbo R, Taranta A, Stipa F, Cavallaro A, Santoro-D'Angelo L, Stipa S. Growth factor production after polytetrafluoroethylene and vein arterial grafting: an experimental study. J Vasc Surg 1996; 23:452-60. [PMID: 8601887 DOI: 10.1016/s0741-5214(96)80010-3] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
PURPOSE Occlusion caused by myointimal hyperplasia appears to be the main reason of late failure of polytetrafluoroethylene (PTFE) arterial bypass grafts. Evidence exists that growth factors are involved in the genesis of myointimal hyperplasia. The aim of this study was to assess the release of platelet-derived growth factor (PDGF) and basic fibroblastic growth factor (bFGF) by PTFE arterial grafts. METHODS In 15 inbred Lewis rats a 1 cm long segment of PTFE was interposed at the level of the abdominal aorta. In a control of another 15 Lewis rats in a vein graft was implanted at the level of the abdominal aorta. Animals were killed four weeks after implantation and the tissue was studied in organ culture for release of PDGF AA, PDGF BB, and bFGF. RESULTS PTFE grafts released a greater quantity of PDGF AA than did control vein grafts (28 +/- 4 ng/cm2/72 hr vs 7 +/- 2 ng/cm2/72 hr). Similarly, PTFE grafts released a greater quantity of bFGF than did arterial vein grafts (308 +/- 22 ng/cm(2)/72hr vs 204 +/- 20 ng/cm2/72 hr). CONCLUSIONS We conclude that PTFE arterial grafts released a high quantity of growth factor, which could explain, in part, the occurrence of distal anastomotic myointimal hyperplasia.
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Affiliation(s)
- A V Sterpetti
- Istituto Clinica Chirurgica, University of Rome, Italy
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Flow visualization and measurement with the photochromic tracer technique. ACTA ACUST UNITED AC 1996. [DOI: 10.1016/s1873-9784(96)80006-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Hughes PE, How TV. Flow structures at the proximal side-to-end anastomosis. Influence of geometry and flow division. J Biomech Eng 1995; 117:224-36. [PMID: 7666660 DOI: 10.1115/1.2796005] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Abstract
Flow structures were visualized in transparent polyurethane models of proximal side-to-end vascular anastomoses, using planar illumination of suspended tracer particles. Both the effects of geometry and flow division were determined under steady and pulsatile flow conditions, for anastomosis angles of 15, 30, and 45 degrees. The flow patterns were highly three-dimensional and were characterized by a series of vortices in the fully occluded distal artery and two helical vortices aligned with the axis of the graft. In steady flow, above a critical Reynolds number, the flow changed from a laminar regime to one displaying time-dependent behavior. In particular, significant fluctuating velocity components were observed in the distal artery and particles were shed periodically from the occluded artery into the graft. Pairs of asymmetric flow patterns were also observed in the graft, before the onset of the time-dependent flow regime. The critical Reynolds number ranged from 427 to 473 and appeared to be independent of anastomosis angle. The presence of a patent distal artery had a significant effect on the overall flow pattern and led to the formation of a large recirculation region at the toe of the anastomosis. The main structures observed in steady flow, such as vortices in the distal artery and helical flow in the graft, were also seen during the pulsatile cycle. However, the secondary flow components in the graft were more pronounced in pulsatile flow particularly during deceleration of the flow waveform. At higher mean Reynolds numbers, there was also a greater mixing between fluid in the occluded arterial section and that in the graft.
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Affiliation(s)
- P E Hughes
- Department of Clinical Engineering, University of Liverpool, United Kingdom
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27
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Benbrahim A, L'Italien GJ, Milinazzo BB, Warnock DF, Dhara S, Gertler JP, Orkin RW, Abbott WM. A compliant tubular device to study the influences of wall strain and fluid shear stress on cells of the vascular wall. J Vasc Surg 1994; 20:184-94. [PMID: 8040941 DOI: 10.1016/0741-5214(94)90005-1] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Abstract
PURPOSE Cellular constituents of the blood vessel wall are continuously subjected, in vivo, to both mechanical and hemodynamic forces, which elicit structural and biologic responses. We have developed a compliant tubular system, the vascular simulating device (VSD), that reproduces these forces, while supporting the attachment and the experimental manipulation of endothelial and smooth muscle cells. METHODS The VSD consists of a compliant silicone rubber tube coupled to a pump system, which permits the simultaneous application of known levels of pressure and flow, to vascular wall cells cultured on the inner surface of the tube. Seeded cells can be monitored visually under phase contrast or fluorescent optics, as well as harvested and analyzed for biologic responses. RESULTS The elastic modulus and compliance of the silicone rubber tube are similar to those of canine and human arteries. Endothelial and smooth muscle cells cultured on the lumenal surface of the tubes remain attached and viable after subjecting them to physiologic pulsatile flow and cyclic strain. CONCLUSION The VSD makes it possible to approximate, in vitro, those forces encountered by vascular wall cells, in vivo and therefore may make it possible to determine whether specific combinations of mechanical and hemodynamic forces are causally associated with specific vascular diseases.
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Affiliation(s)
- A Benbrahim
- Vascular Surgery Laboratory, Massachusetts General Hospital, Boston 02114
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28
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Hemodynamic assessments with the photochromic tracer technique. J Vasc Surg 1994. [DOI: 10.1016/0741-5214(94)90202-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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29
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Ojha M, Cobbold RS, Johnston KW. Influence of angle on wall shear stress distribution for an end-to-side anastomosis. J Vasc Surg 1994; 19:1067-73. [PMID: 8201708 DOI: 10.1016/s0741-5214(94)70219-5] [Citation(s) in RCA: 54] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
PURPOSE The purpose of this article was to study the effects of anastomotic angle on the wall shear stress distribution for end-to-side anastomosis models under pulsatile flow conditions. METHOD The photochromic tracer technique was used to visualize the flow field and to determine the instantaneous wall shear stress at multiple locations simultaneously. Models with angles of 20, 30, 45, and 60 degrees were examined. RESULTS For all angles, low shear stress was present at the heel and on the bed opposite the heel of the anastomosis apparently as a result of the complete occlusion of the proximal end of the host vessel. Near the toe, increased flow separation occurred with increasing angle. On the bed across from the toe, increasing the angle led to increased shear stress. In addition, in this region the anastomotic angle significantly altered other properties of the shear stress field such as the mean and peak-to-peak magnitudes and cycle-to-cycle fluctuations. CONCLUSIONS This study provides quantitative data on the wall shear stress distribution within an end-to-side anastomosis and its relation to the anastomotic angle. The results are discussed in terms of possible roles of shear-induced intimal hyperplasia.
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Affiliation(s)
- M Ojha
- Institute of Biomedical Engineering, University of Toronto, Ontario, Canada
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30
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Ojha M. Spatial and temporal variations of wall shear stress within an end-to-side arterial anastomosis model. J Biomech 1993; 26:1377-88. [PMID: 8308043 DOI: 10.1016/0021-9290(93)90089-w] [Citation(s) in RCA: 115] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
Wall shear stress has been strongly implicated in the initiation of fibrous intimal hyperplasia that leads to arterial bypass graft failure. In this study, the photochromic tracer technique was used to determine the instantaneous value of the wall shear stress in order to provide a detailed description of its spatial and temporal variations within a 45 degrees end-to-side anastomosis model. At the heel and on the bed across from the heel, the shear stress was close to zero throughout the sinusoidal flow cycle. Flow separation was produced just beyond the toe where the peak phase-averaged shear stress was 6 dyn cm-2, whilst on the bed across from the toe it was 27 dyn cm-2. The stagnation point was seen to fluctuate quite sharply on the bed over a distance of about one tube radius upstream from the site across from the toe. This led to large spatial gradients of the wall shear stress with a peak value of 580 dyn cm-3. In addition, the sudden motion of the stagnation point around peak flow produced sharp temporal gradients of the wall shear stress with a peak absolute value of 3400 dyn cm-2 s-1. When compared to the sites where intimal hyperplasia tends to occur, a strong correlation is seen with low wall shear stress at the heel and toe, and with the sharp temporal variations of the magnitude and spatial gradient of the wall shear stress on the bed across from the junction.
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Affiliation(s)
- M Ojha
- Institute of Biomedical Engineering, University of Toronto, Canada
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31
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Ojha M, Langille BL. Evidence that turbulence is not the cause of poststenotic dilatation in rabbit carotid arteries. ARTERIOSCLEROSIS AND THROMBOSIS : A JOURNAL OF VASCULAR BIOLOGY 1993; 13:977-84. [PMID: 8318515 DOI: 10.1161/01.atv.13.7.977] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
The purpose of this study was to relate local blood flow conditions to the development of poststenotic dilatation (PSD) in the common carotid arteries of rabbits. We investigated the effects of the geometry of the stenoses on PSD formation to gain insight into the mechanisms of this phenomenon. With short stenoses, the maximum diameter of the PSD after 3 weeks increased from about 25% to 50% above the proximal diameter by increasing the severity of the stenoses from 50% to 60% diameter reduction. By contrast, increasing the length of the constricted region of 60% stenoses did not affect the PSD, and in all cases, the site of maximum dilatation occurred within 3 tube diameters from the stenoses. In vitro studies were conducted with the photochromic tracer technique. The most striking observation was that the transition to turbulence did not occur with a 55% short stenosis. By increasing the severity of this short stenosis to 70%, the transition to very localized turbulence was triggered approximately 6 to 8 tube diameters from the stenosis during the early deceleration phase of the flow cycle. The transition point moved farther downstream by increasing the length of this moderate stenosis. This study demonstrated that PSD can occur under turbulence-free conditions, and even when turbulence was generated, the site of the PSD was remote from that of the localized turbulence zone. The wall shear stress pattern was determined for the long 60% stenosis.(ABSTRACT TRUNCATED AT 250 WORDS)
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Affiliation(s)
- M Ojha
- Institute of Biomedical Engineering, University of Toronto, Canada
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