Mechanistic Effects of Erythrocytes on Platelet Deposition in Coronary Thrombosis

guidance and input on my research. I also would like to thank my colleague, Jon Clausen, for his collaboration on the methodology and code development presented in this work. His input has been invaluable.

[1]  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.

[2]  E. Falk Unstable angina with fatal outcome: dynamic coronary thrombosis leading to infarction and/or sudden death. Autopsy evidence of recurrent mural thrombosis with peripheral embolization culminating in total vascular occlusion. , 1985, Circulation.

[3]  Dominique Barthès-Biesel,et al.  Motion of a spherical microcapsule freely suspended in a linear shear flow , 1980, Journal of Fluid Mechanics.

[4]  Larry V. McIntire,et al.  Real-time analysis of shear-dependent thrombus formation and its blockade by inhibitors of von Willebrand factor binding to platelets. , 1993 .

[5]  Jason H. Haga,et al.  Quantification of the Passive Mechanical Properties of the Resting Platelet , 1998, Annals of Biomedical Engineering.

[6]  R. Grebe,et al.  A NEW MEMBRANE CONCEPT FOR VISCOUS RBC DEFORMATION IN SHEAR: SPECTRIN OLIGOMER COMPLEXES AS A BINGHAM‐FLUID IN SHEAR AND A DENSE PERIODIC COLLOIDAL SYSTEM IN BENDING a , 1983, Annals of the New York Academy of Sciences.

[7]  Ahmed Hassanein,et al.  Multiphase hemodynamic simulation of pulsatile flow in a coronary artery. , 2006, Journal of biomechanics.

[8]  John F. Brady,et al.  STOKESIAN DYNAMICS , 2006 .

[9]  Takeshi Matsumoto,et al.  Lattice Boltzmann simulation of blood cell behavior at microvascular bifurcations , 2006, Math. Comput. Simul..

[10]  R. Virmani,et al.  Coronary plaque erosion without rupture into a lipid core. A frequent cause of coronary thrombosis in sudden coronary death. , 1996, Circulation.

[11]  R M Heethaar,et al.  Fluid shear as a possible mechanism for platelet diffusivity in flowing blood. , 1986, Journal of biomechanics.

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

[13]  Witold Dzwinel,et al.  A discrete-particle model of blood dynamics in capillary vessels. , 2003, Journal of colloid and interface science.

[14]  Chun Xu,et al.  Platelet near-wall excess in porcine whole blood in artery-sized tubes under steady and pulsatile flow conditions. , 2004, Biorheology.

[15]  Anna C Balazs,et al.  Newtonian fluid meets an elastic solid: coupling lattice Boltzmann and lattice-spring models. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Tomas Akenine-Möller,et al.  Fast, minimum storage ray/triangle intersection , 1997, J. Graphics, GPU, & Game Tools.

[17]  V. Fuster,et al.  The pathogenesis of coronary artery disease and the acute coronary syndromes (2). , 1992, The New England journal of medicine.

[18]  S. Suresha,et al.  Mechanics of the human red blood cell deformed by optical tweezers , 2003 .

[19]  M. Davies,et al.  Anatomic features in victims of sudden coronary death. Coronary artery pathology. , 1992, Circulation.

[20]  R. Waugh,et al.  Thermoelasticity of red blood cell membrane. , 1979, Biophysical journal.

[21]  C. Aidun,et al.  Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation , 1998, Journal of Fluid Mechanics.

[22]  Cyrus K. Aidun,et al.  Extension of the Lattice-Boltzmann Method for Direct Simulation of Suspended Particles Near Contact , 2003 .

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

[24]  P. Lallemand,et al.  Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[25]  P. Lugol Annalen der Physik , 1906 .

[26]  Augmented Mass Transport of Macromolecules in Sheared Suspensions to Surfaces , 1993 .

[27]  Sehyun Shin,et al.  Measurement of red cell deformability and whole blood viscosity using laser-diffraction slit rheometer , 2004 .

[28]  Cyrus K Aidun,et al.  Cluster size distribution and scaling for spherical particles and red blood cells in pressure-driven flows at small Reynolds number. , 2006, Physical review letters.

[29]  Y. Adler,et al.  Thrombosis of bileaflet tricuspid valve prosthesis: clinical spectrum and the role of nonsurgical treatment. , 1999, American Heart Journal.

[30]  H. Goldsmith,et al.  Flow behavior of erythrocytes. II. Particle motions in concentrated suspensions of ghost cells , 1979 .

[31]  M. Bitbol Red blood cell orientation in orbit C = 0. , 1986, Biophysical journal.

[32]  R B Whittington,et al.  Blood-plasma viscosity: an approximate temperature-invariant arising from generalised concepts. , 1970, Biorheology.

[33]  R. Haynes The Rheology of Blood , 1961 .

[34]  S. Chien,et al.  Low viscosity Ektacytometry and its validation tested by flow chamber. , 2001, Journal of biomechanics.

[35]  J. Badimón,et al.  The role of plaque rupture and thrombosis in coronary artery disease. , 2000, Atherosclerosis.

[36]  R. Pélissier,et al.  Experimental analysis of unsteady flows through a stenosis. , 1997, Journal of biomechanics.

[37]  Dominique Barthès-Biesel,et al.  Effect of constitutive laws for two-dimensional membranes on flow-induced capsule deformation , 2002, Journal of Fluid Mechanics.

[38]  M J Davies,et al.  Thrombosis and acute coronary-artery lesions in sudden cardiac ischemic death. , 1984, The New England journal of medicine.

[39]  R M Heethaar,et al.  Blood platelets are concentrated near the wall and red blood cells, in the center in flowing blood. , 1988, Arteriosclerosis.

[40]  G. Sloop,et al.  Insights into the relationship of fatty streaks to raised atherosclerotic lesions provided by the hemorheologic-hemodynamic theory of atherogenesis , 1998 .

[41]  A. Ladd,et al.  Lattice-Boltzmann Simulations of Particle-Fluid Suspensions , 2001 .

[42]  R. G. Cox The motion of suspended particles almost in contact , 1974 .

[43]  K. Bathe Finite Element Procedures , 1995 .

[44]  H. Goldsmith,et al.  Effect of hematocrit on adenosine diphosphate-induced aggregation of human platelets in tube flow. , 1995, Biorheology.

[45]  Richard L. Beissinger,et al.  Augmented Mass Transport of Macromolecules in Sheared Suspensions to Surfaces B. Bovine Serum Albumin , 1996 .

[46]  Cyrus K. Aidun,et al.  The dynamics and scaling law for particles suspended in shear flow with inertia , 2000, Journal of Fluid Mechanics.

[47]  Aleksander S Popel,et al.  Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow. , 2005, Journal of biomechanical engineering.

[48]  S Chien,et al.  Constitutive equations of erythrocyte membrane incorporating evolving preferred configuration. , 1984, Biophysical journal.

[49]  Ignacio Pagonabarraga,et al.  Lees–Edwards Boundary Conditions for Lattice Boltzmann , 2001 .

[50]  R. Virmani,et al.  Sudden coronary death. Frequency of active coronary lesions, inactive coronary lesions, and myocardial infarction. , 1995, Circulation.

[51]  John F. Brady,et al.  Dynamic simulation of sheared suspensions. I. General method , 1984 .

[52]  Dewei Qi,et al.  Lattice-Boltzmann simulations of particles in non-zero-Reynolds-number flows , 1999, Journal of Fluid Mechanics.

[53]  H. Schmid-schönbein,et al.  Tank Tread Motion of Red Cell Membranes in Viscometric Flow: Behavior of Intracellular and Extracellular Markers (with Film) , 1978 .

[54]  C M Care,et al.  A multi-component lattice Boltzmann scheme: towards the mesoscale simulation of blood flow. , 2006, Medical engineering & physics.

[55]  C. Pozrikidis,et al.  Flipping of an adherent blood platelet over a substrate , 2006, Journal of Fluid Mechanics.

[56]  L. McIntire,et al.  Biomechanics of cell interactions in shear fields. , 1998, Advanced drug delivery reviews.

[57]  G. Breyiannis,et al.  Simple Shear Flow of Suspensions of Elastic Capsules , 2000 .

[58]  J. W. Goodwin,et al.  Interactions among erythrocytes under shear. , 1970, Journal of applied physiology.

[59]  W. C. Hwang,et al.  Energy of dissociation of lipid bilayer from the membrane skeleton of red blood cells. , 1997, Biophysical journal.

[60]  Christoph Schmidt,et al.  First clinical experience with the Incor left ventricular assist device. , 2005, The Journal of heart and lung transplantation : the official publication of the International Society for Heart Transplantation.

[61]  N. Tateishi,et al.  Electrostatic repulsion among erythrocytes in tube flow, demonstrated by the thickness of marginal cell-free layer. , 1998, Biorheology.

[62]  J. Buchanan,et al.  Rheological effects on pulsatile hemodynamics in a stenosed tube , 2000 .

[63]  C. Pozrikidis,et al.  Numerical Simulation of Cell Motion in Tube Flow , 2005, Annals of Biomedical Engineering.

[64]  E. Merrill,et al.  Non‐Newtonian Rheology of Human Blood ‐ Effect of Fibrinogen Deduced by “Subtraction” , 1963, Circulation research.

[65]  R. R. Myers,et al.  Transactions of the Society of Rheology , 1957 .

[66]  H. Weiss,et al.  The effect of shear rate on platelet interaction with subendothelium exposed to citrated human blood. , 1980, Microvascular research.

[67]  Yaling Liu,et al.  Rheology of red blood cell aggregation by computer simulation , 2006, J. Comput. Phys..

[68]  C. Rankin,et al.  An element independent corotational procedure for the treatment of large rotations , 1986 .

[69]  John F. Brady,et al.  Accelerated Stokesian Dynamics simulations , 2001, Journal of Fluid Mechanics.

[70]  Y. Fung,et al.  Biomechanics: Mechanical Properties of Living Tissues , 1981 .

[71]  Danny Bluestein,et al.  Fluid mechanics of arterial stenosis: Relationship to the development of mural thrombus , 1997, Annals of Biomedical Engineering.

[72]  H. Goldsmith,et al.  Effect of red blood cells and their aggregates on platelets and white cells in flowing blood. , 1999, Biorheology.

[73]  R. Virmani,et al.  Sudden cardiac death. , 1987, Human pathology.

[74]  G. Batchelor,et al.  The stress system in a suspension of force-free particles , 1970, Journal of Fluid Mechanics.

[75]  Robin Fåhræus,et al.  THE VISCOSITY OF THE BLOOD IN NARROW CAPILLARY TUBES , 1931 .

[76]  R. Skalak,et al.  Strain energy function of red blood cell membranes. , 1973, Biophysical journal.

[77]  J D Hellums,et al.  Morphological, biochemical, and functional changes in human platelets subjected to shear stress. , 1975, The Journal of laboratory and clinical medicine.

[78]  V. Turitto,et al.  Platelet deposition on subendothelium exposed to flowing blood: mathematical analysis of physical parameters. , 1975, Transactions - American Society for Artificial Internal Organs.

[79]  A. Shabana,et al.  Performance of the Incremental and Non-Incremental Finite Element Formulations in Flexible Multibody Problems , 2000 .

[80]  P. Hoskins,et al.  Numerical investigation of physiologically realistic pulsatile flow through arterial stenosis. , 2001, Journal of biomechanics.

[81]  J. Brady,et al.  Pressure-driven flow of suspensions: simulation and theory , 1994, Journal of Fluid Mechanics.

[82]  Witold Dzwinel,et al.  Mesoscopic dispersion of colloidal agglomerate in a complex fluid modelled by a hybrid fluid-particle model. , 2002, Journal of colloid and interface science.

[83]  Saroja Ramanujan,et al.  Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: large deformations and the effect of fluid viscosities , 1998, Journal of Fluid Mechanics.

[84]  C. Pozrikidis,et al.  Effect of membrane bending stiffness on the deformation of capsules in simple shear flow , 2001, Journal of Fluid Mechanics.

[85]  E. Falk,et al.  Coronary thrombosis: pathogenesis and clinical manifestations. , 1991, The American journal of cardiology.

[86]  P Mangin,et al.  A revised model of platelet aggregation. , 2000, The Journal of clinical investigation.

[87]  R K Jain,et al.  Role of erythrocytes in leukocyte-endothelial interactions: mathematical model and experimental validation. , 1996, Biophysical journal.

[88]  R. Jain,et al.  Erythrocytes enhance lymphocyte rolling and arrest in vivo. , 2000, Microvascular research.

[89]  David Farrell,et al.  Immersed finite element method and its applications to biological systems. , 2006, Computer methods in applied mechanics and engineering.

[90]  K. Keller,et al.  Effect of fluid shear on mass transport in flowing blood. , 1971, Federation proceedings.

[91]  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.

[92]  C. Féo,et al.  Automated ektacytometry: a new method of measuring red cell deformability and red cell indices. , 1980, Blood cells.

[93]  T. Diacovo,et al.  Mechanics of transient platelet adhesion to von Willebrand factor under flow. , 2005, Biophysical journal.

[94]  L V McIntire,et al.  Platelet active concentration profiles near growing thrombi. A mathematical consideration. , 1986, Biophysical journal.

[95]  Zhu Zeng,et al.  The measurement of shear modulus and membrane surface viscosity of RBC membrane with Ektacytometry: a new technique. , 2007, Mathematical biosciences.

[96]  H. Kataoka,et al.  Dynamic deformation and recovery response of red blood cells to a cyclically reversing shear flow: Effects of frequency of cyclically reversing shear flow and shear stress level. , 2006, Biophysical journal.

[97]  B. Kuban,et al.  Validated computation of physiologic flow in a realistic coronary artery branch. , 1997, Journal of biomechanics.

[98]  Asimina Sierou,et al.  Shear-induced self-diffusion in non-colloidal suspensions , 2004, Journal of Fluid Mechanics.

[99]  H Schmid-Schönbein,et al.  The red cell as a fluid droplet: tank tread-like motion of the human erythrocyte membrane in shear flow. , 1978, Science.

[100]  A. Lumsden,et al.  Evaluation of platelet deposition and neointimal hyperplasia of heparin-coated small-caliber ePTFE grafts in a canine femoral artery bypass model. , 2004, The Journal of surgical research.

[101]  E. Eckstein,et al.  Model of platelet transport in flowing blood with drift and diffusion terms. , 1991, Biophysical journal.

[102]  L V McIntire,et al.  Mathematical analysis of mural thrombogenesis. Concentration profiles of platelet-activating agents and effects of viscous shear flow. , 1989, Biophysical journal.

[103]  C. Pozrikidis,et al.  Numerical Simulation of the Flow-Induced Deformation of Red Blood Cells , 2003, Annals of Biomedical Engineering.

[104]  A. Popel,et al.  Large deformation of red blood cell ghosts in a simple shear flow. , 1998, Physics of fluids.

[105]  H Kusuoka,et al.  The role of intracoronary thrombus in unstable angina: angiographic assessment and thrombolytic therapy during ongoing anginal attacks. , 1988, Circulation.

[106]  S. Cowin,et al.  Biomechanics: Mechanical Properties of Living Tissues, 2nd ed. , 1994 .

[107]  Zanetti,et al.  Use of the Boltzmann equation to simulate lattice gas automata. , 1988, Physical review letters.

[108]  H. Pfeiffer Transactions of the Society of Rheology , 1958 .

[109]  David N. Ku,et al.  A Mechanistic Model of Acute Platelet Accumulation in Thrombogenic Stenoses , 2001, Annals of Biomedical Engineering.

[110]  J M Paulus,et al.  Platelet size in man. , 1975, Blood.

[111]  L. Munn,et al.  Red blood cells initiate leukocyte rolling in postcapillary expansions: a lattice Boltzmann analysis. , 2003, Biophysical journal.

[112]  Shigeo Wada,et al.  Particle method for computer simulation of red blood cell motion in blood flow , 2006, Comput. Methods Programs Biomed..

[113]  T. Ishii,et al.  Experimental wall correction factors of single solid spheres in triangular and square cylinders, and parallel plates , 1981 .

[114]  J. Copeland,et al.  CardioWest total artificial heart in a moribund adolescent with left ventricular thrombi. , 2005, The Annals of thoracic surgery.

[115]  R. Waugh,et al.  Elastic area compressibility modulus of red cell membrane. , 1976, Biophysical journal.