Probing vasoocclusion phenomena in sickle cell anemia via mesoscopic simulations

Vasoocclusion crisis is a key hallmark of sickle cell anemia. Although early studies suggest that this crisis is caused by blockage of a single elongated cell, recent experiments have revealed that vasoocclusion is a complex process triggered by adhesive interactions among different cell groups in multiple stages. However, the quantification of the biophysical characteristics of sickle cell anemia remains an open issue. Based on dissipative particle dynamics, we develop a multiscale model for the sickle red blood cells (SS-RBCs), accounting for diversity in both shapes and cell rigidities, to investigate the precise mechanism of vasoocclusion. First, we investigate the adhesive dynamics of a single SS-RBC in shear flow and static conditions, and find that the different cell groups (SS2: young-deformable SS-RBCs, ISCs: rigid-irreversible SS-RBCs) exhibit heterogeneous adhesive behavior due to the diverse cell morphologies and membrane rigidities. We quantify the observed adhesion behavior (in static conditions) in terms of a balance of free energies due to cell adhesion and deformation, and propose a power law that relates the free-energy increase as a function of the contact area. We further simulate postcapillary flow of SS-RBC suspensions with different cell fractions. The more adhesive SS2 cells interact with the vascular endothelium and trap ISC cells, resulting in vasoocclusion in vessels less than depending on the hematocrit. Under inflammation, adherent leukocytes may also trap ISC cells, resulting in vasoocclusion in even larger vessels.

[1]  R. Nagel,et al.  Microvascular sites and characteristics of sickle cell adhesion to vascular endothelium in shear flow conditions: pathophysiological implications. , 1989, Proceedings of the National Academy of Sciences of the United States of America.

[2]  D. Hammer,et al.  Simulation of cell rolling and adhesion on surfaces in shear flow: general results and analysis of selectin-mediated neutrophil adhesion. , 1992 .

[3]  H. H. Lipowsky,et al.  Human SS red cell rheological behavior in the microcirculation of cremaster muscle. , 1982, Blood cells.

[4]  P. Español,et al.  Statistical Mechanics of Dissipative Particle Dynamics. , 1995 .

[5]  J. Zhan,et al.  Adhesion of sickle cells to vascular endothelium is critically dependent on changes in density and shape of the cells. , 1994, Blood.

[6]  X. Liu,et al.  Rate of deoxygenation modulates rheologic behavior of sickle red blood cells at a given mean corpuscular hemoglobin concentration. , 1999, Clinical hemorheology and microcirculation.

[7]  L V McIntire,et al.  Endothelial cell interactions with sickle cell, sickle trait, mechanically injured, and normal erythrocytes under controlled flow. , 1987, Blood.

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

[9]  Chwee Teck Lim,et al.  Connections between single-cell biomechanics and human disease states: gastrointestinal cancer and malaria. , 2005, Acta biomaterialia.

[10]  S Chien,et al.  Effects of hemoglobin concentration on deformability of individual sickle cells after deoxygenation. , 1995, Blood.

[11]  Ian Halliday,et al.  Lattice Boltzmann modelling of blood cell dynamics , 2008 .

[12]  E. Rappaport,et al.  Rheologic predictors of the severity of the painful sickle cell crisis. , 1988, Blood.

[13]  S. Suresh,et al.  Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers. , 2004, Mechanics & chemistry of biosystems : MCB.

[14]  J. Koelman,et al.  Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics , 1992 .

[15]  Marcelo Alonso,et al.  Mechanics and thermodynamics , 1980 .

[16]  D K Kaul,et al.  Rate of deoxygenation and rheologic behavior of blood in sickle cell anemia. , 1991, Blood.

[17]  N. Mohandas,et al.  Sickle Red Cell Microrheology and Sickle Blood Rheology , 2004, Microcirculation.

[18]  M R King,et al.  Multiparticle adhesive dynamics: Hydrodynamic recruitment of rolling leukocytes , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[19]  E. Evans,et al.  Membrane-associated sickle hemoglobin: a major determinant of sickle erythrocyte rigidity. , 1987, Blood.

[20]  R. Hebbel,et al.  Amendment history : Erratum ( September 2000 ) Hypoxia / reoxygenation causes inflammatory response in transgenic sickle mice but not in normal mice , 2018 .

[21]  P. B. Warren,et al.  DISSIPATIVE PARTICLE DYNAMICS : BRIDGING THE GAP BETWEEN ATOMISTIC AND MESOSCOPIC SIMULATION , 1997 .

[22]  Teng Yong Ng,et al.  Simulating flow of DNA suspension using dissipative particle dynamics , 2006 .

[23]  B. Coller,et al.  Primary role for adherent leukocytes in sickle cell vascular occlusion: A new paradigm , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[24]  R. Nagel,et al.  Erythrocytes in sickle cell anemia are heterogeneous in their rheological and hemodynamic characteristics. , 1983, The Journal of clinical investigation.

[25]  E. Evans,et al.  Rheological and adherence properties of sickle cells. Potential contribution to hematologic manifestations of the disease. , 1989, Annals of the New York Academy of Sciences.

[26]  Peter V. Coveney,et al.  Simulating the rheology of dense colloidal suspensions using dissipative particle dynamics , 1997 .

[27]  G E Karniadakis,et al.  Quantifying the biophysical characteristics of Plasmodium-falciparum-parasitized red blood cells in microcirculation , 2010, Proceedings of the National Academy of Sciences.

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

[29]  M. Platt,et al.  Sickle cell biomechanics. , 2010, Annual review of biomedical engineering.

[30]  George Em Karniadakis,et al.  Direct construction of mesoscopic models from microscopic simulations. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  George Em Karniadakis,et al.  Quantifying the rheological and hemodynamic characteristics of sickle cell anemia. , 2012, Biophysical journal.

[32]  R. Hebbel Adhesion of sickle red cells to endothelium: myths and future directions. , 2008, Transfusion clinique et biologique : journal de la Societe francaise de transfusion sanguine.

[33]  A. Schechter,et al.  Influence of sickle hemoglobin polymerization and membrane properties on deformability of sickle erythrocytes in the microcirculation. , 1992, Biophysical journal.

[34]  L Mahadevan,et al.  Sickle cell vasoocclusion and rescue in a microfluidic device , 2007, Proceedings of the National Academy of Sciences.

[35]  M. Fabry,et al.  In Vivo Studies of Sickle Red Blood Cells , 2004, Microcirculation.

[36]  S. Suresh,et al.  Cytoadherence of erythrocytes invaded by Plasmodium falciparum: quantitative contact-probing of a human malaria receptor. , 2013, Acta biomaterialia.

[37]  M. Fabry,et al.  Sickle cell vaso-occlusion. , 1991, Hematology/oncology clinics of North America.

[38]  George Em Karniadakis,et al.  Accurate coarse-grained modeling of red blood cells. , 2008, Physical review letters.

[39]  M. Baumann,et al.  Local membrane curvature affects spontaneous membrane fluctuation characteristics , 2003, Molecular membrane biology.

[40]  N. Mohandas,et al.  Deformability of oxygenated irreversibly sickled cells. , 1980, The Journal of clinical investigation.