The use of computational fluid dynamics in the development of ventricular assist devices.

Progress in the field of prosthetic cardiovascular devices has significantly contributed to the rapid advancements in cardiac therapy during the last four decades. The concept of mechanical circulatory assistance was established with the first successful clinical use of heart-lung machines for cardiopulmonary bypass. Since then a variety of devices have been developed to replace or assist diseased components of the cardiovascular system. Ventricular assist devices (VADs) are basically mechanical pumps designed to augment or replace the function of one or more chambers of the failing heart. Computational Fluid Dynamics (CFD) is an attractive tool in the development process of VADs, allowing numerous different designs to be characterized for their functional performance virtually, for a wide range of operating conditions, without the physical device being fabricated. However, VADs operate in a flow regime which is traditionally difficult to simulate; the transitional region at the boundary of laminar and turbulent flow. Hence different methods have been used and the best approach is debatable. In addition to these fundamental fluid dynamic issues, blood consists of biological cells. Device-induced biological complications are a serious consequence of VAD use. The complications include blood damage (haemolysis, blood cell activation), thrombosis and emboli. Patients are required to take anticoagulation medication constantly which may cause bleeding. Despite many efforts blood damage models have still not been implemented satisfactorily into numerical analysis of VADs, which severely undermines the full potential of CFD. This paper reviews the current state of the art CFD for analysis of blood pumps, including a practical critical review of the studies to date, which should help device designers choose the most appropriate methods; a summary of blood damage models and the difficulties in implementing them into CFD; and current gaps in knowledge and areas for future work.

[1]  K. Griffith,et al.  First American experience with the Terumo DuraHeart™ left ventricular assist system , 2009, Perfusion.

[2]  Marek Behr,et al.  Hemolysis estimation in a centrifugal blood pump using a tensor-based measure. , 2006, Artificial organs.

[3]  S Saito,et al.  Development status of Terumo implantable left ventricular assist system. , 2001, Artificial organs.

[4]  R L Kormos,et al.  Temporary use of the Jarvik-7 total artificial heart before transplantation. , 1987, The New England journal of medicine.

[5]  Houston G Wood,et al.  Computational Fluid Dynamics Modeling of Impeller Designs for the HeartQuest Left Ventricular Assist Device , 2002, ASAIO journal.

[6]  Ernst Wolner,et al.  Platelet dysfunction in outpatients with left ventricular assist devices. , 2009, The Annals of thoracic surgery.

[7]  B. P. Griffith,et al.  Investigation of fluid dynamics within a miniature mixed flow blood pump , 2001 .

[8]  P R Hoskins,et al.  Fluid—structure interaction in axially symmetric models of abdominal aortic aneurysms , 2009, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[9]  Javad Dargahi,et al.  Modeling and simulation of blood flow in a sac-type left ventricular assist device. , 2007, Bio-medical materials and engineering.

[10]  Rajko Radovancevic,et al.  Increased Leukocyte-Platelet Interactions During Circulatory Support With Left Ventricular Assist Devices , 2009, ASAIO journal.

[11]  Ikuya Nishimura,et al.  An estimation method of hemolysis within an axial flow blood pump by computational fluid dynamics analysis. , 2003, Artificial organs.

[12]  Tongming Zhou,et al.  Leakage Flow Rate and Wall Shear Stress Distributions in a Biocentrifugal Ventricular Assist Device , 2004, ASAIO journal.

[13]  H Schmid-Schönbein,et al.  "Shear induced platelet activation"--a critical reappraisal. , 1985, Biorheology.

[14]  Thomas J. R. Hughes,et al.  Patient-specific isogeometric fluid–structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device , 2009 .

[15]  André Garon,et al.  Fast three-dimensional numerical hemolysis approximation. , 2004, Artificial organs.

[16]  Kazutaka Fujita,et al.  JSME Int. J. , 1994 .

[17]  Reto Schöb,et al.  Computational fluid dynamics analysis of a maglev centrifugal left ventricular assist device. , 2004, Artificial organs.

[18]  H. Suga,et al.  Instantaneous Pressure‐Volume Relationships and Their Ratio in the Excised, Supported Canine Left Ventricle , 1974, Circulation research.

[19]  J D Hellums,et al.  Red blood cell damage by shear stress. , 1972, Biophysical journal.

[20]  Eun Bo Shim,et al.  Mathematical modeling of cardiovascular system dynamics using a lumped parameter method. , 2004, The Japanese journal of physiology.

[21]  P E Allaire,et al.  The application of quantitative oil streaking to the HeartQuest left ventricular assist device. , 2002, Artificial organs.

[22]  S Murakami,et al.  Analysis and design of micro-climate around the human body with respiration by CFD. , 2004, Indoor air.

[23]  Stephen Westaby,et al.  Initial Clinical Experience With the Jarvik 2000 Implantable Axial-Flow Left Ventricular Assist System , 2002, Circulation.

[24]  Xiaoliang Wan,et al.  Comput. Methods Appl. Mech. Engrg. , 2010 .

[25]  P E Allaire,et al.  Computational flow study of the continuous flow ventricular assist device, prototype number 3 blood pump. , 2000, Artificial organs.

[26]  Javier de Frutos,et al.  A Spectral Element Method for the Navier-Stokes Equations with Improved Accuracy , 2000, SIAM J. Numer. Anal..

[27]  Y Miyazoe,et al.  Computational fluid dynamics analysis to establish the design process of a centrifugal blood pump: second report. , 1999, Artificial organs.

[28]  Alexandrina Untaroiu,et al.  Fluid force predictions and experimental measurements for a magnetically levitated pediatric ventricular assist device. , 2007, Artificial organs.

[29]  Xinwei Song,et al.  Studies of turbulence models in a computational fluid dynamics model of a blood pump. , 2003, Artificial organs.

[30]  U. Losert,et al.  The Vienna implantable centrifugal blood pump. , 1994, Artificial organs.

[31]  Xinwei Song,et al.  A prototype HeartQuest ventricular assist device for particle image velocimetry measurements. , 2002, Artificial organs.

[32]  Ramakrishnan Sukuma,et al.  Application of Computational Fluid Dynamics Techniques to Blood Pumps. , 1996, Artificial organs.

[33]  L. Chua,et al.  Study of velocity and shear stress distributions in the impeller passages and the volute of a bio-centrifugal ventricular assist device. , 2008, Artificial organs.

[34]  Hiroshi Mizunuma,et al.  Experimental study on shear stress distributions in a centrifugal blood pump. , 2007, Artificial organs.

[35]  Max Donath,et al.  American Control Conference , 1993 .

[36]  William R Wagner,et al.  Design optimization of blood shearing instrument by computational fluid dynamics. , 2005, Artificial organs.

[37]  Steven Deutsch,et al.  Development and Validation of a Computational Fluid Dynamics Methodology for Simulation of Pulsatile Left Ventricular Assist Devices , 2007, ASAIO journal.

[38]  Marek Behr,et al.  A tensor-based measure for estimating blood damage. , 2004, Artificial organs.

[39]  Victor L Poirier,et al.  Design Features, Developmental Status, and Experimental Results With the Heartmate III Centrifugal Left Ventricular Assist System With a Magnetically Levitated Rotor , 2007, ASAIO journal.

[40]  Yasmin Wadia,et al.  Echocardiographic evaluation of the Jarvik 2000 axial-flow LVAD. , 2005, Texas Heart Institute journal.

[41]  C D Bertram,et al.  Computational fluid dynamics performance prediction for the hydrodynamic bearings of the ventrassist rotary blood pump. , 2001, Artificial organs.

[42]  Genguang Zhang,et al.  Effects of non-Newtonian fluid on centrifugal blood pump performance , 2008 .

[43]  Kenji Yamazaki,et al.  Leukocyte-platelet aggregates and monocyte tissue factor expression in bovines implanted with ventricular assist devices. , 2007, Artificial organs.

[44]  Aaron L. Fogelson,et al.  Immersed-boundary-type models of intravascular platelet aggregation☆ , 2008 .

[45]  J F Antaki,et al.  Microhaemodynamics within the blade tip clearance of a centrifugal turbodynamic blood pump , 2008, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[46]  Gang Tao,et al.  Study of pressure estimation for a human circulatory system with a LVAD , 2006, 2006 American Control Conference.

[47]  H. Reul,et al.  Estimation of Shear Stress-related Blood Damage in Heart Valve Prostheses - in Vitro Comparison of 25 Aortic Valves , 1990, The International journal of artificial organs.

[48]  Takatsugu Shimono,et al.  Clinical Experience with the Nikkiso Centrifugal Pump. , 1996, Artificial organs.

[49]  Markus J Wilhelm,et al.  Outcome of patients surviving to heart transplantation after being mechanically bridged for more than 100 days. , 2003, The Journal of heart and lung transplantation : the official publication of the International Society for Heart Transplantation.

[50]  A. Untăroiu,et al.  Design and Transient Computational Fluid Dynamics Study of a Continuous Axial Flow Ventricular Assist Device , 2004, ASAIO journal.

[51]  Ilya V. Kolmanovsky,et al.  Predictive energy management of a power-split hybrid electric vehicle , 2009, 2009 American Control Conference.

[52]  Yi Wu Adaptive Physiological Speed/Flow Control of Rotary Blood Pumps in Permanent Implantation Using Intrinsic Pump Parameters , 2009, ASAIO journal.

[53]  M. Behr,et al.  Models and finite element techniques for blood flow simulation , 2006 .

[54]  Tao Zhang,et al.  Computational Fluid Dynamics Analysis of Thrombosis Potential in Left Ventricular Assist Device Drainage Cannulae , 2010, ASAIO journal.

[55]  L P Chua,et al.  Numerical investigation of the effect of blade geometry on blood trauma in a centrifugal blood pump. , 2002, Artificial organs.

[56]  Gill B Bearnson,et al.  HeartQuest ventricular assist device magnetically levitated centrifugal blood pump. , 2006, Artificial organs.

[57]  Pascal Verdonck,et al.  Numerical calculation of hemolysis levels in peripheral hemodialysis cannulas. , 2002, Artificial organs.

[58]  Yuefan Deng,et al.  Particle-Based Methods for Multiscale Modeling of Blood Flow in the Circulation and in Devices: Challenges and Future Directions , 2010, Annals of Biomedical Engineering.

[59]  G. J. Brakenhoff,et al.  A NEW METHOD TO STUDY SHAPE RECOVERY OF RED BLOOD CELLS USING MULTIPLE OPTICAL TRAPPING , 1995 .

[60]  James J. Feng,et al.  A particle-based model for the transport of erythrocytes in capillaries , 2009 .

[61]  Christoph Schmidt,et al.  Long-term support of 9 patients with the DeBakey VAD for more than 200 days. , 2005, The Journal of thoracic and cardiovascular surgery.

[62]  H Reul,et al.  Computational Fluid Dynamics and Experimental Validation of a Microaxial Blood Pump , 2001, ASAIO journal.

[63]  H. N. Michael Centrifugal and axial flow pumps: by A. J. Stepanoff. 428 pages, illustrations, diagrams, 15 × 24 cm. New York, John Wiley & Sons, Inc., 1948. Price, $7.50 , 1948 .

[64]  Tongming Zhou,et al.  Numerical simulation of an axial blood pump. , 2007, Artificial organs.

[65]  Roland Hetzer,et al.  First experiences with a novel magnetically suspended axial flow left ventricular assist device. , 2004, European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery.

[66]  Akif Ündar,et al.  New devices for pediatric mechanical circulatory support , 2008, Current opinion in cardiology.

[67]  Zhiliang Xu,et al.  A multiscale model of thrombus development , 2008, Journal of The Royal Society Interface.

[68]  Leonid Goubergrits,et al.  Numerical modeling of blood damage: current status, challenges and future prospects , 2006, Expert review of medical devices.

[69]  S. Takatani,et al.  A magnetically levitated centrifugal blood pump with a simple-structured disposable pump head. , 2008, Artificial organs.

[70]  Yoshifumi Naka,et al.  Which patient, which pump? , 2003, The Journal of heart and lung transplantation : the official publication of the International Society for Heart Transplantation.

[71]  Klaus Affeld,et al.  Numerical estimation of blood damage in artificial organs. , 2004, Artificial organs.

[72]  Alexandrina Untaroiu,et al.  Numerical Design and Experimental Hydraulic Testing of an Axial Flow Ventricular Assist Device for Infants and Children , 2007, ASAIO journal.

[73]  Paul E. Allaire,et al.  Transient and Quasi-Steady Computational Fluid Dynamics Study of a Left Ventricular Assist Device , 2004, ASAIO journal.

[74]  M. Lachat,et al.  The CentriMag: a new optimized centrifugal blood pump with levitating impeller. , 2004, The heart surgery forum.

[75]  James F. Antaki,et al.  Computational Simulation of Platelet Deposition and Activation: I. Model Development and Properties , 1999, Annals of Biomedical Engineering.

[76]  M. Ertan Taskin,et al.  Computational characterization of flow and hemolytic performance of the UltraMag blood pump for circulatory support. , 2010, Artificial organs.

[77]  Katharine H Fraser,et al.  Characterization of an abdominal aortic velocity waveform in patients with abdominal aortic aneurysm. , 2008, Ultrasound in medicine & biology.

[78]  Alberto Redaelli,et al.  Platelet Activation Due to Hemodynamic Shear Stresses: Damage Accumulation Model and Comparison to In Vitro Measurements , 2008, ASAIO journal.

[79]  G. Thurston,et al.  Viscoelasticity of human blood. , 1972, Biophysical journal.

[80]  William R Wagner,et al.  Assessment of Hydraulic Performance and Biocompatibility of a MagLev Centrifugal Pump System Designed for Pediatric Cardiac or Cardiopulmonary Support , 2007, ASAIO journal.

[81]  Matthias Loebe,et al.  What Price Support? Ventricular Assist Device Induced Systemic Response , 2003, ASAIO journal.

[82]  Gerson Rosenberg,et al.  Major factors in the controversy of pulsatile versus nonpulsatile flow during acute and chronic cardiac support. , 2005, ASAIO journal.

[83]  Michael Quintel,et al.  Extracorporeal membrane oxygenation , 2005, Current opinion in critical care.

[84]  J F Antaki,et al.  Computational flow optimization of rotary blood pump components. , 1995, Artificial organs.

[85]  Bartley P Griffith,et al.  Computational and experimental evaluation of the fluid dynamics and hemocompatibility of the CentriMag blood pump. , 2006, Artificial organs.

[86]  Marcus Hormes,et al.  Comparison of hydraulic and hemolytic properties of different impeller designs of an implantable rotary blood pump by computational fluid dynamics. , 2004, Artificial organs.

[87]  Marc A Simon,et al.  Incidence and patterns of adverse event onset during the first 60 days after ventricular assist device implantation. , 2009, The Annals of thoracic surgery.

[88]  Kenneth A. Solen,et al.  Computational Model of Device-Induced Thrombosis and Thromboembolism , 2005, Annals of Biomedical Engineering.

[89]  Umberto Morbiducci,et al.  The power-law mathematical model for blood damage prediction: analytical developments and physical inconsistencies. , 2004, Artificial organs.

[90]  T Tsukiya,et al.  Development of a centrifugal blood pump with magnetically suspended impeller and the related fluid mechanical problems , 1998 .

[91]  Heinrich Schima,et al.  Dynamic Modeling and Identification of an Axial Flow Ventricular Assist Device , 2009, The International journal of artificial organs.

[92]  Leok Poh Chua,et al.  Computational fluid dynamics of gap flow in a biocentrifugal blood pump. , 2005, Artificial organs.

[93]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[94]  U Losert,et al.  Minimization of Hemolysis in Centrifugal Blood Pumps: Influence of Different Geometries , 1993, The International journal of artificial organs.

[95]  Bartley P Griffith,et al.  Functional and biocompatibility performances of an integrated Maglev pump-oxygenator. , 2009, Artificial organs.

[96]  Charles Taylor,et al.  EXPERIMENTAL AND COMPUTATIONAL METHODS IN CARDIOVASCULAR FLUID MECHANICS , 2004 .

[97]  P. Roache Perspective: A Method for Uniform Reporting of Grid Refinement Studies , 1994 .

[98]  P E Allaire,et al.  Particle Image Velocimetry Measurements of Blood Velocity in a Continuous Flow Ventricular Assist Device , 2001, ASAIO journal.

[99]  J F Antaki,et al.  HeartMate II left ventricular assist system: from concept to first clinical use. , 2001, The Annals of thoracic surgery.

[100]  Haonan Liu,et al.  Numerical Investigation on Hydrodynamics and Biocompatibility of a Magnetically Suspended Axial Blood Pump , 2006, ASAIO journal.

[101]  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.

[102]  Paul E. Allaire,et al.  Computational analysis of an axial flow pediatric ventricular assist device. , 2004, Artificial organs.

[103]  Akif Ündar,et al.  Myths and truths of pulsatile and nonpulsatile perfusion during acute and chronic cardiac support. , 2004 .

[104]  Patrick Segers,et al.  Effect of rotary blood pump failure on left ventricular energetics assessed by mathematical modeling. , 2002, Artificial organs.

[105]  Marcel C M Rutten,et al.  A mathematical model to evaluate control strategies for mechanical circulatory support. , 2009, Artificial organs.

[106]  Marek Behr,et al.  Performance analysis of ventricular assist devices using finite element flow simulation , 2004 .

[107]  Toru Masuzawa,et al.  Novel Maglev Pump With a Combined Magnetic Bearing , 2005, ASAIO journal.

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

[109]  Darius G Nabavi,et al.  High level of cerebral microembolization in patients supported with the DeBakey left ventricular assist device. , 2005, The Journal of thoracic and cardiovascular surgery.

[110]  D. K. Walters,et al.  A Three-Equation Eddy-Viscosity Model for Reynolds-Averaged Navier-Stokes Simulations of Transitional Flow , 2008 .

[111]  Steven Deutsch,et al.  EXPERIMENTAL FLUID MECHANICS OF PULSATILE ARTIFICIAL BLOOD PUMPS , 2006 .

[112]  Tadahiko Shinshi,et al.  Computational fluid dynamics analysis of the pediatric tiny centrifugal blood pump (TinyPump). , 2006, Artificial organs.

[113]  Jürgen Hennig,et al.  Three-dimensional magnetic resonance flow analysis in a ventricular assist device. , 2007, The Journal of thoracic and cardiovascular surgery.

[114]  James F Antaki,et al.  Computational fluid dynamics analysis of blade tip clearances on hemodynamic performance and blood damage in a centrifugal ventricular assist device. , 2009, Artificial organs.

[115]  J F Antaki,et al.  Computational fluid dynamics as a development tool for rotary blood pumps. , 2001, Artificial organs.

[116]  Tongming Zhou,et al.  Numerical analysis of the inner flow field of a biocentrifugal blood pump. , 2006, Artificial organs.

[117]  Yan Zhang,et al.  Design Optimization of an Axial Blood Pump With Computational Fluid Dynamics , 2008, ASAIO journal.

[118]  Gang Tao,et al.  Modeling, estimation and control of cardiovascular systems with a left ventricular assist device , 2005, Proceedings of the 2005, American Control Conference, 2005..

[119]  Aaron L. Fogelson,et al.  Coagulation under Flow: The Influence of Flow-Mediated Transport on the Initiation and Inhibition of Coagulation , 2006, Pathophysiology of Haemostasis and Thrombosis.

[120]  Alexandrina Untaroiu,et al.  Numerical and experimental analysis of an axial flow left ventricular assist device: the influence of the diffuser on overall pump performance. , 2005, Artificial organs.

[121]  Aaron L. Fogelson,et al.  Continuum models of platelet aggregation: formulation and mechanical properties , 1992 .

[122]  O. Frazier,et al.  Small pumps for ventricular assistance: progress in mechanical circulatory support. , 2007, Cardiology clinics.

[123]  Alexandrina Untaroiu,et al.  CFD Analysis of a Mag-Lev Ventricular Assist Device for Infants and Children: Fourth Generation Design , 2008, ASAIO journal.

[124]  K. R. Rajagopal,et al.  A mathematical model to describe the change in the constitutive character of blood due to platelet activation , 2002 .

[125]  William R Wagner,et al.  Elimination of adverse leakage flow in a miniature pediatric centrifugal blood pump by computational fluid dynamics-based design optimization. , 2005, ASAIO journal.

[126]  K. McCurry,et al.  Lung Transplantation in the United States, 1998–2007 , 2009, American journal of transplantation : official journal of the American Society of Transplantation and the American Society of Transplant Surgeons.

[127]  J. Pepper,et al.  Clinical performance with the Levitronix Centrimag short-term ventricular assist device. , 2006, The Journal of heart and lung transplantation : the official publication of the International Society for Heart Transplantation.

[128]  H Nakagawa,et al.  Hypothesis on the pathophysiology of syringomyelia based on simulation of cerebrospinal fluid dynamics , 2003, Journal of neurology, neurosurgery, and psychiatry.

[129]  K. Butler,et al.  HeartMate left ventricular assist devices: a multigeneration of implanted blood pumps. , 2001, Artificial organs.

[130]  D J Burke,et al.  The Heartmate II: design and development of a fully sealed axial flow left ventricular assist system. , 2001, Artificial organs.

[131]  P. Roache QUANTIFICATION OF UNCERTAINTY IN COMPUTATIONAL FLUID DYNAMICS , 1997 .

[132]  James F. Antaki,et al.  Computational Simulation of Platelet Deposition and Activation: II. Results for Poiseuille Flow over Collagen , 1999, Annals of Biomedical Engineering.

[133]  William J Weiss,et al.  Pulsatile Pediatric Ventricular Assist Devices , 2005, ASAIO journal.

[134]  Aaron L Fogelson,et al.  Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. , 2004, Mathematical medicine and biology : a journal of the IMA.

[135]  Marcus Hormes,et al.  A validated computational fluid dynamics model to estimate hemolysis in a rotary blood pump. , 2005, Artificial organs.

[136]  Thomas M Fischer,et al.  Tank-tread frequency of the red cell membrane: dependence on the viscosity of the suspending medium. , 2007, Biophysical journal.

[137]  Y Miyazoe,et al.  Computational fluid dynamic analyses to establish design process of centrifugal blood pumps. , 1998, Artificial organs.

[138]  Gino Gerosa,et al.  Influence of inflow cannula length in axial-flow pumps on neurologic adverse event rate: results from a multi-center analysis. , 2008, The Journal of heart and lung transplantation : the official publication of the International Society for Heart Transplantation.

[139]  A. Fogelson,et al.  Computational model of whole blood exhibiting lateral platelet motion induced by red blood cells , 2010, International journal for numerical methods in biomedical engineering.

[140]  Richard L Doty,et al.  Assessment of Upper Respiratory Tract and Ocular Irritative Effects of Volatile Chemicals in Humans , 2004, Critical reviews in toxicology.

[141]  Charles Kilo,et al.  Age-related changes in deformability of human erythrocytes. , 1985 .

[142]  T Siess,et al.  From a lab type to a product: a retrospective view on Impella's assist technology. , 2001, Artificial organs.

[143]  Satoshi Saito,et al.  First permanent implant of the Jarvik 2000 Heart , 2000, The Lancet.

[144]  Pascal Verdonck,et al.  Modeling Ventricular Function during Cardiac Assist: Does Time-Varying Elastance Work? , 2006, ASAIO journal.

[145]  Friedhelm Beyersdorf,et al.  Implantation of the permanent Jarvik-2000 left ventricular assist device: a single-center experience. , 2002, Journal of the American College of Cardiology.

[146]  Po-Lin Hsu,et al.  An Extended Computational Model of the Circulatory System for Designing Ventricular Assist Devices , 2008, ASAIO journal.

[147]  D. Wilcox Turbulence modeling for CFD , 1993 .

[148]  Christoph Benk,et al.  Haemolysis in patients with ventricular assist devices: major differences between systems. , 2009, European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery.

[149]  M Pinotti,et al.  Computational prediction of hemolysis in a centrifugal ventricular assist device. , 1995, Artificial organs.

[150]  J. Hunter,et al.  Oxford Textbook of Medicine, 4th Edn , 2003 .

[151]  L. Hillis,et al.  Intra-aortic balloon counterpulsation. , 2006, The American journal of cardiology.

[152]  Shewaferaw S Shibeshi,et al.  The Rheology of Blood Flow in a Branched Arterial System. , 2005, Applied rheology.

[153]  C Bludszuweit,et al.  Model for a general mechanical blood damage prediction. , 1995, Artificial organs.

[154]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[155]  Stijn Vandenberghe,et al.  The importance of dQ/dt on the flow field in a turbodynamic pump with pulsatile flow. , 2009, Artificial organs.

[156]  Paul E. Allaire,et al.  Numerical studies of blood shear and washing in a continuous flow ventricular assist device. , 1999 .

[157]  H Reul,et al.  Collected Nondimensional Performance of Rotary Dynamic Blood Pumps , 2004, ASAIO journal.

[158]  Kazumitsu Sekine,et al.  Computational fluid dynamics analysis of an intra-cardiac axial flow pump. , 2003, Artificial organs.

[159]  Toru Masuzawa,et al.  Shear Evaluation by Quantitative Flow Visualization Near the Casing Surface of a Centrifugal Blood Pump , 2002 .

[160]  H. Deckmyn,et al.  The hemostatic system. , 2004, Current medicinal chemistry.

[161]  R. Paul,et al.  Shear stress related blood damage in laminar couette flow. , 2003, Artificial organs.

[162]  Charles Audet,et al.  A method for stochastic constrained optimization using derivative-free surrogate pattern search and collocation , 2010, J. Comput. Phys..

[163]  Eiji Okamoto,et al.  Blood compatible design of a pulsatile blood pump using computational fluid dynamics and computer-aided design and manufacturing technology. , 2003, Artificial organs.

[164]  Dong Liu,et al.  Preclinical Testing of the Levitronix Ultramag Pediatric Cardiac Assist Device in a Lamb Model , 2007, ASAIO journal.

[165]  Tadahiko Shinshi,et al.  Third-generation blood pumps with mechanical noncontact magnetic bearings. , 2006, Artificial organs.

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

[167]  Yan Zhang,et al.  A novel integrated rotor of axial blood flow pump designed with computational fluid dynamics. , 2007, Artificial organs.

[168]  F. Prinzen,et al.  Relation between left ventricular cavity pressure and volume and systolic fiber stress and strain in the wall. , 1991, Biophysical journal.

[169]  Bartley P Griffith,et al.  Early In Vivo Experience With the Pediatric Jarvik 2000 Heart , 2007, ASAIO journal.

[170]  David J. Weatherall,et al.  Oxford textbook of medicine , 1996 .

[171]  B. Nieswandt,et al.  Cell Adhesion Mechanisms in Platelets , 2008, Arteriosclerosis, thrombosis, and vascular biology.

[172]  G P Noon,et al.  Development and clinical application of the MicroMed DeBakey VAD. , 2000, Current opinion in cardiology.

[173]  F. Lowy,et al.  Ventricular assist device-related infections. , 2006, The Lancet. Infectious diseases.

[174]  Steven Deutsch,et al.  Correlation of In Vivo Clot Deposition With the Flow Characteristics in the 50 cc Penn State Artificial Heart: A Preliminary Study , 2004, ASAIO journal.

[175]  M. R. Mokhtarzadeh‐Dehghan,et al.  Comparison of flow in numerical and physical models of a ventricular assist device using low- and high-viscosity fluids , 1999, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[176]  Wei Jiang,et al.  Computational Design and Experimental Performance Testing of an Axial-Flow Pediatric Ventricular Assist Device , 2005, ASAIO journal.

[177]  R. Rand,et al.  MECHANICAL PROPERTIES OF THE RED CELL MEMBRANE. II. VISCOELASTIC BREAKDOWN OF THE MEMBRANE. , 1964, Biophysical journal.

[178]  Paul E. Allaire,et al.  Axial Flow Blood Pumps , 2003, ASAIO journal.

[179]  Wolfgang Schröder,et al.  Computational fluid dynamics and digital particle image velocimetry study of the flow through an optimized micro-axial blood pump. , 2006, Artificial organs.

[180]  Bartley P Griffith,et al.  Optimization of a Miniature Maglev Ventricular Assist Device for Pediatric Circulatory Support , 2007, ASAIO journal.

[181]  James F Antaki,et al.  Microscopic investigation of erythrocyte deformation dynamics. , 2006, Biorheology.

[182]  Mark G. Blyth,et al.  Adhesion of a blood platelet to injured tissue , 2009 .

[183]  D. Mozaffarian,et al.  Heart disease and stroke statistics--2010 update: a report from the American Heart Association. , 2010, Circulation.

[184]  Alexandrina Untaroiu,et al.  Computational Design and Experimental Testing of a Novel Axial Flow LVAD , 2005, ASAIO journal.

[185]  Bartley P. Griffith,et al.  Human factors issues in ventricular assist device recipients and their family caregivers. , 1999 .

[186]  JR Lahpor,et al.  State of the art: implantable ventricular assist devices , 2009, Current opinion in organ transplantation.

[187]  G. Filippatos,et al.  Elective bridging to recovery after repair: the surgical approach to ventricular reverse remodeling. , 2008, Artificial organs.

[188]  Setsuo Takatani,et al.  Efficacy of a Miniature Centrifugal Rotary Pump (TinyPump) for Transfusion-Free Cardiopulmonary Bypass in Neonatal Piglets , 2007, ASAIO journal.

[189]  Xinwei Song,et al.  Computational fluid dynamics prediction of blood damage in a centrifugal pump. , 2003, Artificial organs.

[190]  James F. Walton,et al.  Testing of a Centrifugal Blood Pump With a High Efficiency Hybrid Magnetic Bearing , 2003, ASAIO journal.

[191]  R. Wells,et al.  Fluid Drop-Like Transition of Erythrocytes under Shear , 1969, Science.

[192]  K. Rajagopal,et al.  The flow of blood in tubes: theory and experiment , 1998 .

[193]  L. J. Wurzinger,et al.  Mechanical bloodtrauma. An overview , 1986 .

[194]  Yusuke Miyamoto,et al.  A comparative study between flow visualization and computational fluid dynamic analysis for the sun medical centrifugal blood pump. , 2004, Artificial organs.