Review of numerical methods for simulation of mechanical heart valves and the potential for blood clotting

AbstractEven though the mechanical heart valve (MHV) has been used routinely in clinical practice for over 60 years, the occurrence of serious complications such as blood clotting remains to be elucidated. This paper reviews the progress that has been made over the years in terms of numerical simulation method and the contribution of abnormal flow toward blood clotting from MHVs in the aortic position. It is believed that this review would likely be of interest to some readers in various disciplines, such as engineers, scientists, mathematicians and surgeons, to understand the phenomenon of blood clotting in MHVs through computational fluid dynamics.

[1]  Patrick Patrick Anderson,et al.  A combined fictitious domain/adaptive meshing method for fluid–structure interaction in heart valves , 2004 .

[2]  Wei Sun,et al.  Simulated elliptical bioprosthetic valve deformation: implications for asymmetric transcatheter valve deployment. , 2010, Journal of biomechanics.

[3]  George A. Johnson,et al.  Risk of Thromboembolism in Heart Failure: An Analysis From the Sudden Cardiac Death in Heart Failure Trial (SCD-HeFT) , 2007, Circulation.

[4]  John S. Shrimpton,et al.  On the application of immersed boundary, fictitious domain and body-conformal mesh methods to many particle multiphase flows , 2012 .

[5]  A. Ducci,et al.  Possible Subclinical Leaflet Thrombosis in Bioprosthetic Aortic Valves. , 2016, The New England journal of medicine.

[6]  Yee Han Kuan,et al.  Comparison of hinge microflow fields of bileaflet mechanical heart valves implanted in different sinus shape and downstream geometry , 2015, Computer methods in biomechanics and biomedical engineering.

[7]  I. Borazjani.  Fluid–structure interaction, immersed boundary-finite element method simulations of bio-prosthetic heart valves , 2013 .

[8]  Gianni Pedrizzetti,et al.  Flow-driven opening of a valvular leaflet , 2006, Journal of Fluid Mechanics.

[9]  Chi-Wen Lo,et al.  The Closing Behavior of Mechanical Aortic Heart Valve Prostheses , 2004, ASAIO journal.

[10]  Jan Vierendeels,et al.  A fast strong coupling algorithm for the partitioned fluid–structure interaction simulation of BMHVs , 2012, Computer methods in biomechanics and biomedical engineering.

[11]  K. Chandran,et al.  Mechanical valve closing dynamics: Relationship between velocity of closing, pressure transients, and cavitation initiation , 2007, Annals of Biomedical Engineering.

[12]  Todd D. Giorgio,et al.  Studies on the Mechanisms of Shear-Induced Platelet Activation , 1987 .

[13]  Alberto Redaelli,et al.  Blood damage safety of prosthetic heart valves. Shear-induced platelet activation and local flow dynamics: a fluid-structure interaction approach. , 2009, Journal of biomechanics.

[14]  H. S. Udaykumar,et al.  A massively parallel adaptive sharp interface solver with application to mechanical heart valve simulations , 2012 .

[15]  Chang Nyung Kim,et al.  Characteristics of Pulsatile Blood Flow Through the Curved Bileaflet Mechanical Heart Valve Installed in Two Different Types of Blood Vessels: Velocity and Pressure of Blood Flow , 2006, ASAIO journal.

[16]  Peter Hansbo,et al.  AN UNFITTED FINITE ELEMENT METHOD FOR ELLIPTIC INTERFACE PROBLEMS , 2001 .

[17]  J. Halleux,et al.  An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .

[18]  Elias Balaras,et al.  An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries , 2006, J. Comput. Phys..

[19]  Umberto Morbiducci,et al.  Three-Dimensional Numeric Simulation of Flow Through an Aortic Bileaflet Valve in a Realistic Model of Aortic Root , 2005, ASAIO journal.

[20]  Klaus A. Hoffmann,et al.  Numerical Simulation of Fluid-Structure Interaction for Tilting-Disk Mechanical Heart Valve , 2012 .

[21]  A. Dardik,et al.  Arterial Wall Shear Stress: Observations from the Bench to the Bedside , 2003, Vascular and endovascular surgery.

[22]  Hadi Mohammadi,et al.  Prosthetic aortic heart valves: modeling and design. , 2011, Medical engineering & physics.

[23]  N. Hwang,et al.  Role of vortices in cavitation formation in the flow across a mechanical heart valve. , 2008, The Journal of heart valve disease.

[24]  M D de Tullio,et al.  Fluid-structure interaction of deformable aortic prostheses with a bileaflet mechanical valve. , 2011, Journal of biomechanics.

[25]  Ajit P Yoganathan,et al.  Computational simulations of flow dynamics and blood damage through a bileaflet mechanical heart valve scaled to pediatric size and flow. , 2014, Journal of biomechanics.

[26]  Fotis Sotiropoulos,et al.  The effect of implantation orientation of a bileaflet mechanical heart valve on kinematics and hemodynamics in an anatomic aorta. , 2010, Journal of biomechanical engineering.

[27]  F. Sotiropoulos,et al.  Immersed boundary methods for simulating fluid-structure interaction , 2014 .

[28]  Fotis Sotiropoulos,et al.  Numerical Investigation of the Performance of Three Hinge Designs of Bileaflet Mechanical Heart Valves , 2010, Annals of Biomedical Engineering.

[29]  Valérie Deplano,et al.  Validation of a numerical 3-D fluid-structure interaction model for a prosthetic valve based on experimental PIV measurements. , 2009, Medical engineering & physics.

[30]  D. Wilcox.  Simulation of Transition with a Two-Equation Turbulence Model , 1994 .

[31]  E B Shim,et al.  Numerical analysis of three-dimensional Björk-Shiley valvular flow in an aorta. , 1997, Journal of biomechanical engineering.

[32]  A. Yoganathan,et al.  Highly resolved pulsatile flows through prosthetic heart valves using the entropic lattice-Boltzmann method , 2014, Journal of Fluid Mechanics.

[33]  M. Herrera,et al.  Lattice Boltzmann dynamic simulation of a mechanical heart valve device , 2007, Math. Comput. Simul..

[34]  F P T Baaijens,et al.  A computational fluid-structure interaction analysis of a fiber-reinforced stentless aortic valve. , 2003, Journal of biomechanics.

[35]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[36]  Ajit P. Yoganathan.  Cardiac Valve Prostheses , 1999 .

[37]  F. Baaijens,et al.  Collagen fibers reduce stresses and stabilize motion of aortic valve leaflets during systole. , 2004, Journal of biomechanics.

[38]  Yih Miin Liew,et al.  Prediction of thrombus formation using vortical structures presentation in Stanford type B aortic dissection: A preliminary study using CFD approach , 2016 .

[39]  Masaaki Tamagawa,et al.  Simulation of thrombus formation in shear flows using Lattice Boltzmann Method. , 2009, Artificial organs.

[40]  G. Pedrizzetti,et al.  Asymmetric opening of a simple bileaflet valve. , 2007, Physical review letters.

[41]  Yos S. Morsi,et al.  Transient fluid–structure coupling for simulation of a trileaflet heart valve using weak coupling , 2007, Journal of Artificial Organs.

[42]  Jan Vierendeels,et al.  Analysis and stabilization of fluid-structure interaction algorithm for rigid-body motion , 2005 .

[43]  A. Yoganathan,et al.  Two-component laser Doppler anemometer for measurement of velocity and turbulent shear stress near prosthetic heart valves. , 1985, Medical instrumentation.

[44]  Fotis Sotiropoulos,et al.  Flow in a mechanical bileaflet heart valve at laminar and near-peak systole flow rates: CFD simulations and experiments. , 2005, Journal of biomechanical engineering.

[45]  Krishnan B Chandran,et al.  Role of Computational Simulations in Heart Valve Dynamics and Design of Valvular Prostheses , 2010, Cardiovascular engineering and technology.

[46]  Mohamad Shukri Zakaria,et al.  Numerical analysis using a fixed grid method for cardiovascular flow application , 2016 .

[47]  H Nygaard,et al.  Tilting disc versus bileaflet aortic valve substitutes: intraoperative and postoperative hemodynamic performance in humans. , 2000, The Journal of heart valve disease.

[48]  V. Armenio,et al.  An improved immersed boundary method for curvilinear grids , 2009 .

[49]  Shmuel Einav,et al.  Unsteady effects on the flow across tilting disk valves. , 2002, Journal of biomechanical engineering.

[50]  Yong Zhao,et al.  Parallel unstructured multigrid simulation of 3D unsteady flows and fluid–structure interaction in mechanical heart valve using immersed membrane method , 2009 .

[51]  Jens-Dominik Mueller,et al.  Validation of a fluid–structure interaction model for a bileaflet mechanical heart valve , 2008 .

[52]  A. Leonard.  Computing Three-Dimensional Incompressible Flows with Vortex Elements , 1985 .

[53]  Hélène A. Simon,et al.  Vorticity dynamics of a bileaflet mechanical heart valve in an axisymmetric aorta , 2007 .

[54]  Chang Nyung Kim,et al.  Pulsatile blood flows through a bileaflet mechanical heart valve with different approach methods of numerical analysis; pulsatile flows with fixed leaflets and interacted with moving leaflets , 2003 .

[55]  Danny Bluestein,et al.  Flow-induced platelet activation and damage accumulation in a mechanical heart valve: numerical studies. , 2007, Artificial organs.

[56]  Iman Borazjani,et al.  A review of fluid-structure interaction simulations of prosthetic heart valves. , 2015, Journal of long-term effects of medical implants.

[57]  K. B. Chandran,et al.  Negative Pressure Transients with Mechanical Heart-Valve Closure: Correlation between In Vitro and In Vivo Results , 1998, Annals of Biomedical Engineering.

[58]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[59]  H. Mohammadi,et al.  Effect of heart rate on the hemodynamics of bileaflet mechanical heart valves’ prostheses (St. Jude Medical) in the aortic position and in the opening phase: A computational study , 2016, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[60]  A. Yoganathan,et al.  Pulsatile flow velocity and shear stress measurements on the St. Jude bileaflet valve prosthesis. , 1986, Scandinavian journal of thoracic and cardiovascular surgery.

[61]  Tanaka,et al.  Simulation method of colloidal suspensions with hydrodynamic interactions: fluid particle dynamics , 2000, Physical review letters.

[62]  H. Howie Huang,et al.  Computational modeling of cardiac hemodynamics: Current status and future outlook , 2016, J. Comput. Phys..

[63]  Hieu Bui,et al.  Hemodynamic Performance and Thrombogenic Properties of a Superhydrophobic Bileaflet Mechanical Heart Valve , 2016, Annals of Biomedical Engineering.

[64]  T. Christian Gasser,et al.  Blood flow and coherent vortices in the normal and aneurysmatic aortas: a fluid dynamical approach to intra-luminal thrombus formation , 2011, Journal of The Royal Society Interface.

[65]  Danny Bluestein,et al.  A novel mathematical model of activation and sensitization of platelets subjected to dynamic stress histories , 2013, Biomechanics and Modeling in Mechanobiology.

[66]  C. S. N. Azwadi,et al.  Numerical investigation of 2D lid driven cavity using smoothed particle hydrodynamics (SPH) method , 2012 .

[67]  Giacomo Di Benedetto,et al.  A novel formulation for blood trauma prediction by a modified power-law mathematical model , 2005, Biomechanics and modeling in mechanobiology.

[68]  C. Seiler.  Management and follow up of prosthetic heart valves , 2004, Heart.

[69]  M. Shu,et al.  Flow characterization of the ADVANTAGE and St. Jude Medical bileaflet mechanical heart valves. , 2004, The Journal of heart valve disease.

[70]  Marcio Forleo,et al.  Effect of Hypertension on the Closing Dynamics and Lagrangian Blood Damage Index Measure of the B-Datum Regurgitant Jet in a Bileaflet Mechanical Heart Valve , 2013, Annals of Biomedical Engineering.

[71]  Frederick Stern,et al.  Evaluation of linear and nonlinear convection schemes on multidimensional non‐orthogonal grids with applications to KVLCC2 tanker , 2009 .

[72]  L Kadem,et al.  Flow through a defective mechanical heart valve: a steady flow analysis. , 2009, Medical engineering & physics.

[73]  Rainald Löhner,et al.  Computational fluid dynamics of stented intracranial aneurysms using adaptive embedded unstructured grids , 2008 .

[74]  Fotis Sotiropoulos,et al.  Numerical simulation of flow in mechanical heart valves: grid resolution and the assumption of flow symmetry. , 2003, Journal of biomechanical engineering.

[75]  S H Chu,et al.  Turbulence characteristics downstream of bileaflet aortic valve prostheses. , 2000, Journal of biomechanical engineering.

[76]  G. G. Peters,et al.  A two-dimensional fluid–structure interaction model of the aortic value , 2000 .

[77]  R. Cheng,et al.  Three-Dimensional Fluid-Structure Interaction Simulation of Bileaflet Mechanical Heart Valve Flow Dynamics , 2004, Annals of Biomedical Engineering.

[78]  D. J. Hart.  Fluid-structure interaction in the aortic heart valve : a three-dimensional computational analysis , 2002 .

[79]  Hélène A. Simon.  Numerical simulations of the micro flow field in the hinge region of bileaflet mechanical heart valves , 2009 .

[80]  Matteo Astorino,et al.  Fluid-structure interaction and multi-body contact. Application to aortic valves , 2009 .

[81]  Liang Zhong,et al.  Fluid-dynamics modelling of the human left ventricle with dynamic mesh for normal and myocardial infarction: Preliminary study , 2012, Comput. Biol. Medicine.

[82]  Jan Vierendeels,et al.  Fluid-Structure Interaction Simulation of Prosthetic Aortic Valves: Comparison between Immersed Boundary and Arbitrary Lagrangian-Eulerian Techniques for the Mesh Representation , 2016, PloS one.

[83]  M Cerrolaza,et al.  Analysis of 3D transient blood flow passing through an artificial aortic valve by Lattice-Boltzmann methods. , 1998, Journal of biomechanics.

[84]  A P Yoganathan,et al.  Bileaflet, tilting disc and porcine aortic valve substitutes: in vitro hydrodynamic characteristics. , 1984, Journal of the American College of Cardiology.

[85]  Fotis Sotiropoulos,et al.  An overset-grid method for 3D unsteady incompressible flows , 2003 .

[86]  Patrick D. Anderson,et al.  A fluid-structure interaction method with solid-rigid contact for heart valve dynamics , 2006, J. Comput. Phys..

[87]  Farzad Ismail,et al.  Accuracy Variations in Residual Distribution and Finite Volume Methods on Triangular Grids , 2017 .

[88]  T. Akutsu,et al.  In Vitro Study of the Correlation between the Aortic Flow Field Affected by the Bileaflet Mechanical Valves and Coronary Circulation , 2011 .

[89]  Takeo Kajishima,et al.  Finite-difference immersed boundary method consistent with wall conditions for incompressible turbulent flow simulations , 2007, J. Comput. Phys..

[90]  B. Yin,et al.  On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries , 2012 .

[91]  Boyce E. Griffith,et al.  Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions , 2012, International journal for numerical methods in biomedical engineering.

[92]  K. Liew,et al.  Numerical simulation of 3D fluid-structure interaction flow using an immersed object method with overlapping grids , 2007 .

[93]  A. Yoganathan,et al.  Reduction of procoagulant potential of b-datum leakage jet flow in bileaflet mechanical heart valves via application of vortex generator arrays. , 2010, Journal of biomechanical engineering.

[94]  Michael Markl,et al.  Bicuspid Aortic Valve Is Associated With Altered Wall Shear Stress in the Ascending Aorta , 2012, Circulation. Cardiovascular imaging.

[95]  Sheng Xu,et al.  The immersed interface method for simulating prescribed motion of rigid objects in an incompressible viscous flow , 2008, J. Comput. Phys..

[96]  Giuseppe Pascazio,et al.  Computational prediction of mechanical hemolysis in aortic valved prostheses , 2012 .

[97]  Farzad Ismail,et al.  A Grid-Insensitive LDA Method on Triangular Grids Solving the System of Euler Equations , 2017, J. Sci. Comput..

[98]  Lakshmi Prasad Dasi,et al.  Procoagulant Properties of Flow Fields in Stenotic and Expansive Orifices , 2007, Annals of Biomedical Engineering.

[99]  Fotis Sotiropoulos,et al.  Erratum to: Simulation of the Three-Dimensional Hinge Flow Fields of a Bileaflet Mechanical Heart Valve Under Aortic Conditions , 2010, Annals of Biomedical Engineering.

[100]  Rui Cheng,et al.  Two-dimensional fluid-structure interaction simulation of bileaflet mechanical heart valve flow dynamics. , 2003, The Journal of heart valve disease.

[101]  L. Antiga,et al.  Influence of bicuspid valve geometry on ascending aortic fluid dynamics: a parametric study. , 2012, Artificial organs.

[102]  G. D. Ward,et al.  Cavitation damage of pyrolytic carbon in mechanical heart valves. , 1994, The Journal of heart valve disease.

[103]  P. Perrotta,et al.  Platelet activation in a circulating flow loop: combined effects of shear stress and exposure time , 2003, Platelets.

[104]  P. Verdonck,et al.  Influence of Valve Size, Orientation and Downstream Geometry of an Aortic BMHV on Leaflet Motion and Clinically Used Valve Performance Parameters , 2014, Annals of Biomedical Engineering.

[105]  Santanu Chandra,et al.  Computational assessment of bicuspid aortic valve wall-shear stress: implications for calcific aortic valve disease , 2012, Biomechanics and modeling in mechanobiology.

[106]  F. Sotiropoulos,et al.  A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies , 2005 .

[107]  Steven H. Frankel,et al.  A novel multiblock immersed boundary method for large eddy simulation of complex arterial hemodynamics , 2013, J. Comput. Phys..

[108]  Hélène A. Simon,et al.  FLUID MECHANICS OF ARTIFICIAL HEART VALVES , 2009, Clinical and experimental pharmacology & physiology.

[109]  F P T Baaijens,et al.  A three-dimensional computational analysis of fluid-structure interaction in the aortic valve. , 2003, Journal of biomechanics.

[110]  Gil Marom,et al.  A fluid–structure interaction model of the aortic valve with coaptation and compliant aortic root , 2011, Medical & Biological Engineering & Computing.

[111]  Wei Sun,et al.  Computational evaluation of platelet activation induced by a bioprosthetic heart valve. , 2010, Artificial organs.

[112]  Gross Jm,et al.  Vortex shedding in bileaflet heart valve prostheses. , 1988 .

[113]  Fotis Sotiropoulos,et al.  A review of state-of-the-art numerical methods for simulating flow through mechanical heart valves , 2009, Medical & Biological Engineering & Computing.

[114]  T. Tirilomis.  Acute thrombosis of mechanical bi-leaflet aortic valve prosthesis , 2012, Journal of cardiovascular disease research.

[115]  Gianluca Iaccarino,et al.  IMMERSED BOUNDARY METHODS , 2005 .

[116]  C S Peskin,et al.  A general method for the computer simulation of biological systems interacting with fluids. , 1995, Symposia of the Society for Experimental Biology.

[117]  Emiliano Votta,et al.  Impact of modeling fluid-structure interaction in the computational analysis of aortic root biomechanics. , 2013, Medical engineering & physics.

[118]  H. Mohammadi,et al.  Hemodynamic study of the elliptic St. Jude Medical valve: A computational study , 2016, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[119]  K. B. Chandran,et al.  Numerical simulation of instantaneous backflow through central clearance of bileaflet mechanical heart valves at closure: shear stress and pressure fields within clearance , 1995, Medical and Biological Engineering and Computing.

[120]  Yoichiro Matsumoto,et al.  A Review of Full Eulerian Methods for Fluid Structure Interaction Problems , 2012 .

[121]  A P Yoganathan,et al.  In vitro pulsatile flow velocity and shear stress measurements in the vicinity of mechanical mitral heart valve prostheses. , 1986, Journal of biomechanics.

[122]  Patricia V. Lawford,et al.  Analysis of a mechanical heart valve prosthesis and a native venous valve: Two distinct applications of FSI to biomedical applications , 2010 .

[123]  R. Verzicco,et al.  Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations , 2000 .

[124]  Fotis Sotiropoulos,et al.  A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries , 2007, J. Comput. Phys..

[125]  M. Cotrufo,et al.  Dose-dependent fetal complications of warfarin in pregnant women with mechanical heart valves. , 1999, Journal of the American College of Cardiology.

[126]  Christian Vergara,et al.  An Unfitted Formulation for the Interaction of an Incompressible Fluid with a Thick Structure via an XFEM/DG Approach , 2018, SIAM J. Sci. Comput..

[127]  Kamarul Arifin Ahmad,et al.  Experimental and numerical investigation of the effects of passive vortex generators on Aludra UAV performance , 2011 .

[128]  P K Paulsen,et al.  Medtronic Hall versus St. Jude Medical mechanical aortic valve: downstream turbulences with respect to rotation in pigs. , 1998, The Journal of heart valve disease.

[129]  Yong Zhao,et al.  Numerical simulation of opening process in a bileaflet mechanical heart valve under pulsatile flow condition. , 2003, The Journal of heart valve disease.

[130]  N. Hwang.  Cavitation potential of pyrolytic carbon heart valve prostheses: a review and current status. , 1998, The Journal of heart valve disease.

[131]  Chang Nyung Kim,et al.  Numerical Analysis on the Hemodynamics and Leaflet Dynamics in a Bileaflet Mechanical Heart Valve Using a Fluid-Structure Interaction Method , 2009, ASAIO journal.

[132]  F. R. Rosendaal,et al.  Thromboembolic and Bleeding Complications in Patients With Mechanical Heart Valve Prostheses , 1994, Circulation.

[133]  Fotis Sotiropoulos,et al.  A parallel overset-curvilinear-immersed boundary framework for simulating complex 3D incompressible flows. , 2013, Computers & fluids.

[134]  Danny Bluestein,et al.  Fluid–structure interaction modeling of calcific aortic valve disease using patient-specific three-dimensional calcification scans , 2016, Medical & Biological Engineering & Computing.

[135]  Fotis Sotiropoulos,et al.  A numerical approach for simulating fluid structure interaction of flexible thin shells undergoing arbitrarily large deformations in complex domains , 2015, J. Comput. Phys..

[136]  Hee-Sun Kim,et al.  Fully coupled fluid–structure interaction model of congenital bicuspid aortic valves: effect of asymmetry on hemodynamics , 2013, Medical & Biological Engineering & Computing.

[137]  Fotis Sotiropoulos,et al.  Experimentally Validated Hemodynamics Simulations of Mechanical Heart Valves in Three Dimensions , 2011, Cardiovascular Engineering and Technology.

[138]  Shmuel Einav,et al.  Device Thrombogenicity Emulator (DTE)--design optimization methodology for cardiovascular devices: a study in two bileaflet MHV designs. , 2010, Journal of biomechanics.

[139]  Philippe Pibarot,et al.  New insights into the assessment of the prosthetic valve performance in the presence of subaortic stenosis through a fluid-structure interaction model. , 2007, Journal of biomechanics.

[140]  Y. Jianming.  Sharp interface direct forcing immersed boundary methods: A summary of some algorithms and applications , 2016 .

[141]  G. Iaccarino,et al.  Immersed boundary technique for turbulent flow simulations , 2003 .

[142]  Fotis Sotiropoulos,et al.  Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies , 2008, J. Comput. Phys..

[143]  ANDRÉ MASSING,et al.  Efficient Implementation of Finite Element Methods on Nonmatching and Overlapping Meshes in Three Dimensions , 2013, SIAM J. Sci. Comput..

[144]  Boyce E. Griffith,et al.  Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method , 2009 .

[145]  M D de Tullio,et al.  Evaluation of prosthetic-valved devices by means of numerical simulations , 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[146]  Fotis Sotiropoulos,et al.  Characterization of Hemodynamic Forces Induced by Mechanical Heart Valves: Reynolds vs. Viscous Stresses , 2008, Annals of Biomedical Engineering.

[147]  C. Peskin.  Flow patterns around heart valves: A numerical method , 1972 .

[148]  Jan Vierendeels,et al.  Comparison of the hemodynamic and thrombogenic performance of two bileaflet mechanical heart valves using a CFD/FSI model. , 2007, Journal of biomechanical engineering.

[149]  Liang Zhong,et al.  Numerical Modeling of Intraventricular Flow during Diastole after Implantation of BMHV , 2015, PloS one.

[150]  H. Imamura,et al.  The effect of pulsatile shear flow on thrombus formation and hemolysis , 2000, Proceedings of the 22nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society (Cat. No.00CH37143).

[151]  Ajit P Yoganathan,et al.  Fluid mechanics of heart valves. , 2004, Annual review of biomedical engineering.

[152]  A. Sathiya Susuman,et al.  Women's Education and Health Inequalities in Under-Five Mortality in Selected Sub-Saharan African Countries, 1990–2015 , 2016, PloS one.

[153]  H. S. Udaykumar,et al.  Two-Dimensional Dynamic Simulation of Platelet Activation During Mechanical Heart Valve Closure , 2006, Annals of Biomedical Engineering.

[154]  Roberto Verzicco,et al.  On the effect of aortic root geometry on the coronary entry-flow after a bileaflet mechanical heart valve implant: a numerical study , 2011 .

[155]  Yong Zhao,et al.  Particle Image Velocimetry Study of Pulsatile Flow in Bi-leaflet Mechanical Heart Valves with Image Compensation Method , 2007, Journal of biological physics.

[156]  Shmuel Einav,et al.  Dynamics of Blood Flow and Platelet Transport in Pathological Vessels , 2004, Annals of the New York Academy of Sciences.

[157]  Matteo Astorino,et al.  Computational analysis of an aortic valve jet with Lagrangian coherent structures. , 2010, Chaos.

[158]  H. Lankarani,et al.  NUMERICAL SIMULATION OF FLUID-STRUCTURE INTERACTION FOR TILTING-DISK MECHANICAL HEART VALVES , 2013 .

[159]  Cyrus K. Aidun,et al.  Numerical Investigation of the Effects of Channel Geometry on Platelet Activation and Blood Damage , 2011, Annals of Biomedical Engineering.

[160]  Sarah C. Vigmostad,et al.  Algorithms for Fluid–Structure Interaction , 2010 .

[161]  P. Lu,et al.  Numerical comparison of the closing dynamics of a new trileaflet and a bileaflet mechanical aortic heart valve , 2012, Journal of Artificial Organs.

[162]  Hiroya Kodama,et al.  LETTER TO THE EDITOR: Fluid particle dynamics simulation of charged colloidal suspensions , 2004 .

[163]  Danny Bluestein,et al.  The Extent of Platelet Activation under Shear Depends on Platelet Count: Differential Expression of Anionic Phospholipid and Factor Va , 2006, Pathophysiology of Haemostasis and Thrombosis.

[164]  A. Yoganathan,et al.  Bileaflet, tilting disc and porcine aortic valve substitutes: in vivo hydrodynamic characteristics. , 1984, Journal of the American College of Cardiology.

[165]  M T Ahmadian,et al.  Time-dependent analysis of leaflets in mechanical aortic bileaflet heart valves in closing phase using the finite strip method. , 2006, Medical engineering & physics.

[166]  Jack Lemmon,et al.  A numerical simulation of mechanical heart valve closure fluid dynamics. , 2002, Journal of biomechanics.

[167]  Ajit P Yoganathan,et al.  Blood damage through a bileaflet mechanical heart valve: a quantitative computational study using a multiscale suspension flow solver. , 2014, Journal of biomechanical engineering.

[168]  René M. Botnar,et al.  Prosthetic heart valve evaluation by magnetic resonance imaging. , 1999, European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery.

[169]  Fotis Sotiropoulos,et al.  Fluid-structure interaction of an aortic heart valve prosthesis driven by an animated anatomic left ventricle , 2013, J. Comput. Phys..

[170]  Elias Balaras,et al.  Direct numerical simulation of the pulsatile flow through an aortic bileaflet mechanical heart valve , 2009, Journal of Fluid Mechanics.

[171]  John F LaDisa,et al.  Including aortic valve morphology in computational fluid dynamics simulations: initial findings and application to aortic coarctation. , 2013, Medical engineering & physics.

[172]  M Grigioni,et al.  The influence of the leaflets' curvature on the flow field in two bileaflet prosthetic heart valves. , 2001, Journal of biomechanics.

[173]  D. Walker,et al.  New laboratory technique measures projected dynamic area of prosthetic heart valves. , 2004, The Journal of heart valve disease.

[174]  K Zhu,et al.  Mechanisms of mechanical heart valve cavitation: investigation using a tilting disk valve model. , 2001, The Journal of heart valve disease.

[175]  K. Serri,et al.  Thrombosis of prosthetic heart valves: diagnosis and therapeutic considerations , 2006, Heart.

[176]  Shahrokh Shahriari,et al.  Computational Modeling of Cardiovascular Flows using Smoothed Particle Hydrodynamics , 2011 .

[177]  Gil Marom,et al.  Numerical Methods for Fluid–Structure Interaction Models of Aortic Valves , 2014, Archives of Computational Methods in Engineering.

[178]  Fotis Sotiropoulos,et al.  Toward patient-specific simulations of cardiac valves: state-of-the-art and future directions. , 2013, Journal of biomechanics.

[179]  G. Guo,et al.  An interlaboratory comparison of the FDA protocol for the evaluation of cavitation potential of mechanical heart valves. , 1995, The Journal of heart valve disease.

[180]  Chang Nyung Kim,et al.  A Numerical Analysis of the Blood Flow Around the Bileaflet Mechanical Heart Valves with Different Rotational Implantation Angles , 2011 .

[181]  H. Leo.  An in vitro investigation of the flow fields through bileaflet and polymeric prosthetic heart valves. , 2005 .

[182]  van de Fn Frans Vosse,et al.  Evaluation of a fictitious domain method for predicting dynamic response of mechanical heart valves , 2004 .

[183]  R. Glowinski,et al.  A distributed Lagrange multiplier/fictitious domain method for particulate flows , 1999 .

[184]  I. Borazjani,et al.  High-Resolution Fluid–Structure Interaction Simulations of Flow Through a Bi-Leaflet Mechanical Heart Valve in an Anatomic Aorta , 2010, Annals of Biomedical Engineering.

[185]  G Puppini,et al.  Influence of the aortic valve leaflets on the fluid-dynamics in aorta in presence of a normally functioning bicuspid valve , 2015, Biomechanics and modeling in mechanobiology.

[186]  Ajit Yoganathan,et al.  An in vitro assessment by means of laser Doppler velocimetry of the medtronic advantage bileaflet mechanical heart valve hinge flow. , 2003, The Journal of thoracic and cardiovascular surgery.

[187]  Alfio Quarteroni,et al.  Helical flows and asymmetry of blood jet in dilated ascending aorta with normally functioning bicuspid valve , 2012, Biomechanics and Modeling in Mechanobiology.

[188]  Alberto Redaelli,et al.  3-D simulation of the SJM bileaflet valve opening process: fluid-structure interaction study and experimental validation , 2004 .

[189]  K. F. Chen,et al.  Observation of the Decay B0J , 2007 .

[190]  E. Balaras,et al.  A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids , 2003 .

[191]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[192]  I. Krukenkamp,et al.  Free emboli formation in the wake of bi-leaflet mechanical heart valves and the effects of implantation techniques. , 2002, Journal of biomechanics.

[193]  J. Tarbell,et al.  Numerical simulation of unsteady laminar flow through a tilting disk heart valve: prediction of vortex shedding. , 1994, Journal of biomechanics.

[194]  M. Gharib,et al.  Vortex shedding as a mechanism for free emboli formation in mechanical heart valves. , 2000, Journal of biomechanical engineering.

[195]  Heow Pueh Lee,et al.  Investigation of hemodynamics in the development of dissecting aneurysm within patient-specific dissecting aneurismal aortas using computational fluid dynamics (CFD) simulations. , 2011, Journal of biomechanics.

[196]  Danny Bluestein,et al.  Vortex Shedding in Steady Flow Through a Model of an Arterial Stenosis and Its Relevance to Mural Platelet Deposition , 1999, Annals of Biomedical Engineering.

[197]  David Rodney Hose,et al.  Fundamental mechanics of aortic heart valve closure. , 2006, Journal of biomechanics.

[198]  Nima Mirkhani,et al.  On-X Heart Valve Prosthesis: Numerical Simulation of Hemodynamic Performance in Accelerating Systole , 2016, Cardiovascular Engineering and Technology.

[199]  Ajit P. Yoganathan,et al.  Computational modelling of flow through prosthetic heart valves using the entropic lattice-Boltzmann method , 2014, Journal of Fluid Mechanics.

[200]  L. Haya.  Measurements of Flow Through a Bileaflet Mechanical Heart Valve in an Anatomically Accurate Model of the Aorta , 2015 .

[201]  J Fisher,et al.  A three-dimensional, time-dependent analysis of flow through a bileaflet mechanical heart valve: comparison of experimental and numerical results. , 1996, Journal of biomechanics.

[202]  Boyce E. Griffith,et al.  An adaptive, formally second order accurate version of the immersed boundary method , 2007, J. Comput. Phys..

[203]  J Degroote,et al.  Validation of a numerical FSI simulation of an aortic BMHV by in vitro PIV experiments. , 2014, Medical engineering & physics.

[204]  T. Mueller,et al.  On the hemolytic and thrombogenic potential of occluder prosthetic heart valves from in-vitro measurements. , 1981, Journal of biomechanical engineering.

[205]  Miguel A. Fernández,et al.  Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures , 2016 .

[206]  Stéphane P. Vincent,et al.  Sur une méthode de pénalisation tensorielle pour la résolution des équations de Navier-Stokes , 2001 .

[207]  A. Moritz,et al.  Effect of mechanical aortic valve orientation on coronary artery flow: comparison of tilting disc versus bileaflet prostheses in pigs. , 2002, The Journal of thoracic and cardiovascular surgery.

[208]  Danny Bluestein,et al.  Evaluation of Shear-Induced Platelet Activation Models Under Constant and Dynamic Shear Stress Loading Conditions Relevant to Devices , 2013, Annals of biomedical engineering.

[209]  J Vierendeels,et al.  Validation of a Fluid–Structure Interaction Model of a Heart Valve using the Dynamic Mesh Method in Fluent , 2004, Computer methods in biomechanics and biomedical engineering.

[210]  Jianming Yang,et al.  Sharp interface direct forcing immersed boundary methods: A summary of some algorithms and applications , 2016 .

[211]  Juan Qiu,et al.  Assessing Bleeding Risk in Patients Taking Anticoagulants. , 2017, American family physician.

[212]  Alberto Redaelli,et al.  3-D simulation of the St. Jude Medical bileaflet valve opening process: fluid-structure interaction study and experimental validation. , 2004, The Journal of heart valve disease.

[213]  P. J. Drury,et al.  Mechanical and other problems of artificial valves. , 1994, Current topics in pathology. Ergebnisse der Pathologie.

[214]  Roxana Mehran,et al.  Prosthetic Heart Valve Thrombosis. , 2016, Journal of the American College of Cardiology.

[215]  C. Ross Ethier,et al.  Measurements of steady flow through a bileaflet mechanical heart valve using stereoscopic PIV , 2011, Medical & Biological Engineering & Computing.

[216]  Klaus A. Hoffmann,et al.  Three-Dimensional Fluid-Structure-Interaction Simulation of Tilting Disk Mechanical Heart Valve , 2013 .

[217]  Hélène A. Simon,et al.  A Numerical Investigation of Blood Damage in the Hinge Area of Aortic Bileaflet Mechanical Heart Valves During the Leakage Phase , 2012, Annals of Biomedical Engineering.

[218]  Rainald Löhner,et al.  Adaptive embedded and immersed unstructured grid techniques , 2008 .

[219]  F. Teijeira,et al.  Cardiac Valve Replacement with Mechanical Prostheses: Current Status and Trends , 1992 .

[220]  S Shahriari,et al.  Evaluation of shear stress accumulation on blood components in normal and dysfunctional bileaflet mechanical heart valves using smoothed particle hydrodynamics. , 2012, Journal of biomechanics.

[221]  Umberto Morbiducci,et al.  Numerical simulation of the dynamics of a bileaflet prosthetic heart valve using a fluid-structure interaction approach. , 2008, Journal of biomechanics.

[222]  Rosaire Mongrain,et al.  The effect of aortic wall and aortic leaflet stiffening on coronary hemodynamic: a fluid–structure interaction study , 2013, Medical & Biological Engineering & Computing.

[223]  N H Hwang,et al.  Venturi pressure cannot cause cavitation in mechanical heart valve prostheses. , 1991, ASAIO transactions.

[224]  E. Balaras.  Modeling complex boundaries using an external force field on fixed Cartesian grids in large-eddy simulations , 2004 .

[225]  Fotis Sotiropoulos,et al.  Fluid Mechanics of Heart Valves and Their Replacements , 2016 .

[226]  Danny Bluestein,et al.  Flow-Induced Platelet Activation in Bileaflet and Monoleaflet Mechanical Heart Valves , 2004, Annals of Biomedical Engineering.

[227]  Ernst Rank,et al.  Two-dimensional simulation of fluid–structure interaction using lattice-Boltzmann methods , 2001 .

[228]  A. Quarteroni,et al.  Computational comparison of aortic root stresses in presence of stentless and stented aortic valve bio-prostheses , 2017, Computer methods in biomechanics and biomedical engineering.

[229]  Hamid Nayeb-Hashemi,et al.  Effect of Pulsatile Blood Flow on Thrombosis Potential With a Step Wall Transition , 2010, ASAIO journal.