Multiscale Systems Biology and Physics of Thrombosis Under Flow

Blood clotting under hemodynamic conditions involves numerous multiscale interactions from the molecular scale to macroscopic vessel and systemic circulation scales. Transmission of shear forces to platelet receptors such as GPIbα, P-selectin, α2β1, and α2bβ3 controls adhesion dynamics. These forces also drive membrane tether formation, cellular deformation, and mechanosignaling in blood cells. Blood flow results in red blood cell (RBC) drift towards the center of the vessel along with a near-wall plasma layer enriched with platelets. RBC motions also dramatically enhance platelet dispersion. Trajectories of individual platelets near a thrombotic deposit dictate capture–activation–arrest dynamics as these newly arriving platelets are exposed to chemical gradients of ADP, thromboxane, and thrombin within a micron-scale boundary layer formed around the deposit. If shear forces are sufficiently elevated (>50 dyne/cm2), the largest polymers of von Willebrand Factor may elongate with concomitant shear-induced platelet activation. Finally, thrombin generation enhances platelet recruitment and clot strength via fibrin polymerization. By combination of coarse-graining, continuum, and stochastic algorithms, the numerical simulation of the growth rate, composition, and occlusive/embolic potential of a thrombus now spans multiscale phenomena. These simulations accommodate particular flow geometries, blood phenotype, pharmacological regimen, and reactive surfaces to help predict disease risk or response to therapy.

[1]  Kazuo Fujikawa,et al.  ADAMTS-13 rapidly cleaves newly secreted ultralarge von Willebrand factor multimers on the endothelial surface under flowing conditions. , 2002, Blood.

[2]  T. Orfeo,et al.  Dilutional control of prothrombin activation at physiologically relevant shear rates. , 2011, Biophysical journal.

[3]  H. Shankaran,et al.  Aspects of hydrodynamic shear regulating shear-induced platelet activation and self-association of von Willebrand factor in suspension. , 2003, Blood.

[4]  J D Hellums,et al.  Shear-induced platelet aggregation can be mediated by vWF released from platelets, as well as by exogenous large or unusually large vWF multimers, requires adenosine diphosphate, and is resistant to aspirin. , 1988, Blood.

[5]  E. Vogler,et al.  Mathematical modeling of material-induced blood plasma coagulation. , 2006, Biomaterials.

[6]  S. Diamond,et al.  Selectin-like kinetics and biomechanics promote rapid platelet adhesion in flow: the GPIb/spl alpha/-vWF tether bond , 2002, Proceedings of the Second Joint 24th Annual Conference and the Annual Fall Meeting of the Biomedical Engineering Society] [Engineering in Medicine and Biology.

[7]  Thomas Dandekar,et al.  human platelets : a systems biologic analysis of signaling networks in PlateletWeb , 2012 .

[8]  H. Hamm,et al.  Mathematical model of PAR1-mediated activation of human platelets. , 2011, Molecular bioSystems.

[9]  Xiaoping Du,et al.  Signaling During Platelet Adhesion and Activation , 2010, Arteriosclerosis, thrombosis, and vascular biology.

[10]  Jerrold E. Marsden,et al.  Study of blood flow impact on growth of thrombi using a multiscale model , 2009 .

[11]  David A Steinman,et al.  Finite-element modeling of the hemodynamics of stented aneurysms. , 2004, Journal of biomechanical engineering.

[12]  A. Alexander-Katz,et al.  Relaxation of ultralarge VWF bundles in a microfluidic-AFM hybrid reactor. , 2008, Biochemical and biophysical research communications.

[13]  R. Kamm,et al.  A fluid--structure interaction finite element analysis of pulsatile blood flow through a compliant stenotic artery. , 1999, Journal of biomechanical engineering.

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

[15]  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.

[16]  Shaun P Jackson,et al.  Shear-dependent tether formation during platelet translocation on von Willebrand factor. , 2002, Blood.

[17]  N. Stergiopulos,et al.  Residual strain effects on the stress field in a thick wall finite element model of the human carotid bifurcation. , 1996, Journal of biomechanics.

[18]  Deyan Luan,et al.  Computationally Derived Points of Fragility of a Human Cascade Are Consistent with Current Therapeutic Strategies , 2007, PLoS Comput. Biol..

[19]  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.

[20]  Prosenjit Bagchi,et al.  Mesoscale simulation of blood flow in small vessels. , 2007, Biophysical journal.

[21]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[22]  K. Mann,et al.  Membrane Binding Events in the Initiation and Propagation Phases of Tissue Factor-initiated Zymogen Activation under Flow* , 2011, The Journal of Biological Chemistry.

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

[24]  Scott L. Diamond,et al.  Systems Biology of Coagulation Initiation: Kinetics of Thrombin Generation in Resting and Activated Human Blood , 2010, PLoS Comput. Biol..

[25]  Aaron L Fogelson,et al.  Blood clot formation under flow: the importance of factor XI depends strongly on platelet count. , 2012, Biophysical journal.

[26]  K Perktold,et al.  Numerical simulation of pulsatile flow in a carotid bifurcation model. , 1986, Journal of biomedical engineering.

[27]  A. Federici,et al.  Activation-independent platelet adhesion and aggregation under elevated shear stress. , 2005, Blood.

[28]  S. Susen,et al.  Acquired von Willebrand syndrome in aortic stenosis. , 2003, The New England journal of medicine.

[29]  Jeremy E Purvis,et al.  Pairwise agonist scanning predicts cellular signaling responses to combinatorial stimuli , 2010, Nature Biotechnology.

[30]  Ken Lo,et al.  Stochastic Modeling of Blood Coagulation Initiation , 2006, Pathophysiology of Haemostasis and Thrombosis.

[31]  S L Diamond,et al.  Reaction complexity of flowing human blood. , 2001, Biophysical journal.

[32]  E. Shaqfeh,et al.  Shear-induced platelet margination in a microchannel. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Jongseong Kim,et al.  A mechanically stabilized receptor–ligand flex-bond important in the vasculature , 2010, Nature.

[34]  Matthias F. Schneider,et al.  Soluble plasma-derived von Willebrand factor assembles to a haemostatically active filamentous network , 2007, Thrombosis and Haemostasis.

[35]  S. Diamond,et al.  Neutrophil string formation: hydrodynamic thresholding and cellular deformation during cell collisions. , 2004, Biophysical journal.

[36]  Gerhard Gompper,et al.  Predicting human blood viscosity in silico , 2011, Proceedings of the National Academy of Sciences.

[37]  Andrew R. Fisher,et al.  Dissociation of bimolecular αIIbβ3-fibrinogen complex under a constant tensile force. , 2011, Biophysical journal.

[38]  K. C. Jones,et al.  A Model for the Stoichiometric Regulation of Blood Coagulation* , 2002, The Journal of Biological Chemistry.

[39]  Zhiliang Xu,et al.  A multiscale model of venous thrombus formation with surface-mediated control of blood coagulation cascade. , 2010, Biophysical journal.

[40]  Arnan Mitchell,et al.  A shear gradient–dependent platelet aggregation mechanism drives thrombus formation , 2009, Nature Medicine.

[41]  George Em Karniadakis,et al.  A multiscale red blood cell model with accurate mechanics, rheology, and dynamics. , 2010, Biophysical journal.

[42]  E. Beltrami,et al.  Positive feedbacks of coagulation: their role in threshold regulation. , 2005, Arteriosclerosis, thrombosis, and vascular biology.

[43]  M. King,et al.  Platelet adhesive dynamics. Part I: characterization of platelet hydrodynamic collisions and wall effects. , 2008, Biophysical journal.

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

[45]  Sai K. Doddi,et al.  Three-dimensional computational modeling of multiple deformable cells flowing in microvessels. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[46]  Lattice kinetic Monte Carlo simulations of convective-diffusive systems. , 2009, The Journal of chemical physics.

[47]  Manash S. Chatterjee,et al.  A molecular signaling model of platelet phosphoinositide and calcium regulation during homeostasis and P2Y1 activation. , 2008, Blood.

[48]  R. Radhakrishnan,et al.  Multivalent binding of nanocarrier to endothelial cells under shear flow. , 2011, Biophysical journal.

[49]  S. Diamond,et al.  Simulation of aggregating particles in complex flows by the lattice kinetic Monte Carlo method. , 2011, The Journal of chemical physics.

[50]  Jeremy E. Purvis,et al.  Steady-State Kinetic Modeling Constrains Cellular Resting States and Dynamic Behavior , 2009, PLoS Comput. Biol..

[51]  A Alexander-Katz,et al.  Shear-induced unfolding triggers adhesion of von Willebrand factor fibers , 2007, Proceedings of the National Academy of Sciences.

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

[53]  P. Fischer,et al.  Blood Flow in End-to-Side Anastomoses ∗ , 2008 .

[54]  J. Moake,et al.  Involvement of large plasma von Willebrand factor (vWF) multimers and unusually large vWF forms derived from endothelial cells in shear stress-induced platelet aggregation. , 1986, The Journal of clinical investigation.

[55]  J. Antaki,et al.  An extended convection diffusion model for red blood cell-enhanced transport of thrombocytes and leukocytes , 2009, Physics in medicine and biology.

[56]  Scott L Diamond,et al.  Multiscale prediction of patient-specific platelet function under flow. , 2012, Blood.

[57]  T. Foroud,et al.  Mutations in a member of the ADAMTS gene family cause thrombotic thrombocytopenic purpura , 2001, Nature.

[58]  E. Vogler,et al.  Competitive-protein adsorption in contact activation of blood factor XII. , 2007, Biomaterials.

[59]  P. Hoskins,et al.  Numerical analysis of pulsatile blood flow and vessel wall mechanics in different degrees of stenoses. , 2007, Journal of biomechanics.

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

[61]  Sharene D. Bungay,et al.  A mathematical model of lipid-mediated thrombin generation. , 2003, Mathematical medicine and biology : a journal of the IMA.

[62]  S. Diamond,et al.  Analysis of Morphology of Platelet Aggregates Formed on Collagen Under Laminar Blood Flow , 2011, Annals of Biomedical Engineering.

[63]  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.

[64]  Thomas J. R. Hughes,et al.  Finite Element Modeling of Three-Dimensional Pulsatile Flow in the Abdominal Aorta: Relevance to Atherosclerosis , 2004, Annals of Biomedical Engineering.

[65]  E. Eckstein,et al.  Transient lateral transport of platelet-sized particles in flowing blood suspensions. , 1994, Biophysical journal.

[66]  K. Shim,et al.  Platelet-VWF complexes are preferred substrates of ADAMTS13 under fluid shear stress. , 2008, Blood.

[67]  A. Alexander-Katz,et al.  Polymer-based catch-bonds. , 2011, Biophysical journal.

[68]  Scott L Diamond,et al.  Determination of surface tissue factor thresholds that trigger coagulation at venous and arterial shear rates: amplification of 100 fM circulating tissue factor requires flow. , 2008, Blood.

[69]  J. Moake,et al.  Chronic relapsing thrombotic thrombocytopenic purpura in infants with large von Willebrand factor multimers during remission. , 1992, The Journal of pediatrics.

[70]  Aaron L Fogelson,et al.  Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow. , 2011, Mathematical medicine and biology : a journal of the IMA.

[71]  Sameer Jadhav,et al.  A 3-D computational model predicts that cell deformation affects selectin-mediated leukocyte rolling. , 2005, Biophysical journal.

[72]  S. Diamond,et al.  P2Y12 or P2Y1 inhibitors reduce platelet deposition in a microfluidic model of thrombosis while apyrase lacks efficacy under flow conditions. , 2010, Integrative biology : quantitative biosciences from nano to macro.

[73]  Cheng Zhu,et al.  Catch bonds govern adhesion through L-selectin at threshold shear , 2004, The Journal of cell biology.

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

[75]  A. M. Benis,et al.  Platelet Diffusion in Flowing Blood , 1972 .

[76]  A. Fogelson,et al.  Surface-mediated control of blood coagulation: the role of binding site densities and platelet deposition. , 2001, Biophysical journal.

[77]  J. Moake,et al.  Shear stress-induced binding of von Willebrand factor to platelets. , 1997, Biorheology.