Simulation of intrathrombus fluid and solute transport using in vivo clot structures with single platelet resolution

Annals of Biomedical Engineering

Volumn 41, Issue 6, 2013, Pages 1297-1307

  Voronov, Roman S ^a   Stalker, Timothy J ^b   Brass, Lawrence F ^b   Diamond, Scott L ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Blood; Brownian; Computation; Confocal microscopy; Diffusion; Drug delivery; Lattice Boltzmann; Modeling; Permeability; Stresses

Indexed keywords

BROWNIAN; COMPUTATIONAL STUDIES; DIFFUSIVE-CONVECTIVE TRANSPORT; DOPPLER VELOCIMETRY; LATTICE BOLTZMANN; LATTICE BOLTZMANN METHOD; PORE ARCHITECTURE; WALL SHEAR STRESS;

BLOOD; BROWNIAN MOVEMENT; CALCULATIONS; COMPUTATIONAL FLUID DYNAMICS; CONFOCAL MICROSCOPY; DIFFUSION; DISEASES; DRUG DELIVERY; MECHANICAL PERMEABILITY; MODELS; SOLUTE TRANSPORT; STRESSES;

BLOOD VESSELS;

ANIMAL EXPERIMENT; ANIMAL MODEL; ARTERY THROMBOSIS; ARTICLE; BLOOD CLOT; BLOOD FLOW VELOCITY; HEMODYNAMICS; IN VIVO STUDY; MOUSE; NONHUMAN; SHEAR STRESS; SIMULATION; SOLUTE; ANIMAL; ARTERIOLE; BIOLOGICAL MODEL; BLOOD FLOW; C57BL MOUSE; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; INJURY; LASER; LASER DOPPLER FLOWMETRY; MALE; PATHOPHYSIOLOGY; PHYSIOLOGY; POROSITY; SKELETAL MUSCLE; THROMBOCYTE; THROMBOSIS; VASCULARIZATION;

ANIMALS; ARTERIOLES; BLOOD PLATELETS; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; LASER-DOPPLER FLOWMETRY; LASERS; MALE; MICE; MICE, INBRED C57BL; MODELS, BIOLOGICAL; MUSCLE, SKELETAL; POROSITY; REGIONAL BLOOD FLOW; THROMBOSIS;

EID: 84886732672     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-013-0764-z     Document Type: Article

References (43)

1. Agard, D. A., Y. Hiraoka, P. Shaw, and J. W. Sedat. Fluorescence microscopy in 3 dimensions. Methods Cell Biol. 30:353-377, 1989.
2. Barber, C. B., D. P. Dobkin, and H. Huhdanpaa. The Quickhull algorithm for convex hulls. ACM Trans. Math. Softw. 22(4):469-483, 1996.
3. Bellido-Martin, L., V. Chen, R. Jasuja, B. Furie, and B. C. Furie. Imaging fibrin formation and platelet and endothelial cell activation in vivo. Thromb. Haemost. 105(5):776-782, 2011.
4. Bhatnagar, P. L., E. P. Gross, and M. Krook. A model for collision processes in gases. 1. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94(3):511-525, 1954.
5. Borders, J. L., and H. J. Granger. An optical Doppler intravital velocimeter. Microvasc. Res. 27(1):117-127, 1984.
6. Boyd, J., J. Buick, and S. Green. A second-order accurate lattice Boltzmann non-Newtonian flow model. J. Phys. A 39(46):14241-14247, 2006.
7. Brass, L. F., K. M. Wannemacher, P. Ma, and T. J. Stalker. Regulating thrombus growth and stability to achieve an optimal response to injury. J. Thromb. Haemost. 9(s1):66-75, 2011.
8. Brinkman, H. C. A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl. Sci. Res. 1(1):27-34, 1947.
9. Chen, S., and G. D. Doolen. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30:329-364, 1998.
10. Colace, T., E. Falls, X. L. Zheng, and S. L. Diamond. Analysis of morphology of platelet aggregates formed on collagen under laminar blood flow. Ann. Biomed. Eng. 39(2):922-929, 2011.
11. Comerford, A., M. J. Plank, and T. David. Endothelial nitric oxide synthase and calcium production in arterial geometries: an integrated fluid mechanics/cell model. J. Biomech. Eng. Trans. ASME 130(1):011010, 2008.
12. Cosgrove, J. A., J. M. Buick, S. J. Tonge, C. G. Munro, C. A. Greated, and D. M. Campbell. Application of the Lattice Boltzmann method to transition in oscillatory channel flow. J. Phys. A 36(10):2609-2620, 2003.
13. Davis, M. J. Determination of volumetric flow in capillary tubes using an optical Doppler-velocimeter. Microvasc. Res. 34(2):223-230, 1987.
14. Desjardins, C., and B. R. Duling. Microvessel hematocrit-measurement and implications for capillary oxygen-transport. Am. J. Physiol. 252(3):H494-H503, 1987.
15. Einstein, A. The motion of elements suspended in static liquids as claimed in the molecular kinetic theory of heat. Ann. Phys. 17(8):549-560, 1905.
16. Falati, S., P. Gross, G. Merrill-Skoloff, B. C. Furie, and B. Furie. Real-time in vivo imaging of platelets, tissue factor and fibrin during arterial thrombus formation in the mouse. Nat. Med. 8(10):1175-1181, 2002.
17. Gabbanelli, S., G. Drazer, and J. Koplik. Lattice Boltzmann method for non-Newtonian (power-law) fluids. Phys. Rev. E 72(4):046312-046317, 2005.
18. Granger, D. N., J. N. Benoit, M. Suzuki, and M. B. Grisham. Leukocyte adherence to venular endothelium during ischemia-reperfusion. Am. J. Physiol. 257(5):G683-G688, 1989.
19. Holme, P. A., U. Orvim, M. J. A. G. Hamers, N. O. Solum, F. R. Brosstad, R. M. Barstad, and K. S. Sakariassen. Shear-induced platelet activation and platelet microparticle formation at blood flow conditions as in arteries with a severe stenosis. Arterioscler. Thromb. Vasc. Biol. 17(4):646-653, 1997.
20. Kandhai, D., A. Koponen, A. G. Hoekstra, M. Kataja, J. Timonen, and P. M. A. Sloot. Lattice-Boltzmann hydrodynamics on parallel systems. Comput. Phys. Commun. 111(1-3):14-26, 1998.
21. Kim, M. B., and I. H. Sarelius. Distributions of wall shear stress in venular convergences of mouse cremaster muscle. Microcirculation 10(2):167-178, 2003.
22. Levine, H. A., M. P. McGee, and S. Serna. Diffusion and reaction in the cell glycocalyx and the extracellular matrix. J. Math. Biol. 60(1):1-26, 2010.
23. Lipowsky, H. H. Microvascular rheology and hemodynamics. Microcirculation 12(1):5-15, 2005.
24. Lipowsky, H. H., S. Kovalcheck, and B. W. Zweifach. Distribution of blood rheological parameters in microvasculature of cat mesentery. Circ. Res. 43(5):738-749, 1978.
25. Matsumoto, M., and T. Nishimura. Mersenne twister: A 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans. Model. Comput. Simul. (TOMACS) 8(1):3-30, 1998.
26. Merrill, E. W., and G. A. Pelletie. Viscosity of human blood-transition from Newtonian to non-Newtonian. J. Appl. Physiol. 23(2):178-182, 1967.
27. Nesbitt, W. S., E. Westein, F. J. Tovar-Lopez, E. Tolouei, A. Mitchell, J. Fu, J. Carberry, A. Fouras, and S. P. Jackson. A shear gradient-dependent platelet aggregation mechanism drives thrombus formation. Nat. Med. 15(6):665-673, 2009.
28. Papavassiliou, D. V. Turbulent transport from continuous sources at the wall of a channel. Int. J. Heat Mass Transf. 45(17):3571-3583, 2002.
29. Papavassiliou, D. V., and T. J. Hanratty. The use of Lagrangian-methods to describe turbulent transport of heat from a wall. Ind. Eng. Chem. Res. 34(10):3359-3367, 1995.
30. Porter, B., R. Zauel, H. Stockman, R. Guldberg, and D. Fyhrie. 3-D computational modeling of media flow through scaffolds in a perfusion bioreactor. J. Biomech. 38(3):543-549, 2005.
31. Qian, Y. H., D. Dhumieres, and P. Lallemand. Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17(6):479-484, 1992.
32. Sakariassen, K. S., P. A. Holme, U. Orvim, R. M. Barstad, N. O. Solum, and F. R. Brosstad. Shear-induced platelet activation and platelet microparticle formation in native human blood. Thromb. Res. 92(6):S33-S41, 1998.
33. Skartsis, L., J. L. Kardos, and B. Khomami. Resin flow through fiber beds during composite manufacturing processes. 1. Review of Newtonian flow through fiber beds. Polym. Eng. Sci. 32(4):221-230, 1992.
34. Stalker, T. J., E. A. Traxler, J. Wu, K. M. Wannemacher, S. L. Cermignano, R. S. Voronov, S. L. Diamond, and L. F. Brass. Hierarchical organization in the hemostatic response and its relationship to the platelet signaling network. Blood (blood-2012-09-457739; published ahead of print January 9, 2013, doi: 10.1182/blood-2012-09-457739), 2012.
35. Succi, S. The Lattice Boltzmann equation for fluid dynamics and beyond. New York: Clarendon Press/Oxford University Press, 2001.
36. Sukop, M. C., D. T. Thorne, and NetLibrary Inc. Lattice Boltzmann Modeling an Introduction for Geoscientists and Engineers. Berlin: Springer, ix, 172 pp., 2006.
37. Swift, M. R., E. Orlandini, W. R. Osborn, and J. M. Yeomans. Lattice Boltzmann simulations of liquid-gas and binary fluid systems. Phys. Rev. E 54(5):5041-5052, 1996.
38. VanGordon, S., R. S. Voronov, T. B. Blue, R. L. Shambaugh, D. V. Papavassiliou, and V. I. Sikavitsas. Effects of scaffold architecture on preosteoblastic cultures under continuous fluid shear. Ind. Eng. Chem. Res. 50(2):620-629, 2010.
39. Wang, J. Y., X. X. Zhang, A. G. Bengough, and J. W. Crawford. Domain-decomposition method for parallel Lattice Boltzmann simulation of incompressible flow in porous media. Phys. Rev. E 72(1):016706-016711, 2005.
40. Wang, W. W., and M. R. King. Multiscale modeling of platelet adhesion and thrombus growth. Ann. Biomed. Eng. 40(11):2345-2354, 2012.
41. Windberger, U., A. Bartholovitsch, R. Plasenzotti, K. J. Korak, and G. Heinze. Whole blood viscosity, plasma viscosity and erythrocyte aggregation in nine mammalian species: reference values and comparison of data. Exp. Physiol. 88(3):431-440, 2003.
42. Xu, Z. L., N. Chen, S. C. Shadden, J. E. Marsden, M. M. Kamocka, E. D. Rosen, and M. Alber. Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter 5(4):769-779, 2009.
43. Yoshino, A., Y. Hotta, T. Hirozane, and M. Endo. A numerical method for incompressible non-newtonian fluid flows based on the Lattice Boltzmann method. J. Nonnewton. Fluid Mech. 147(1-2):69-78, 2007.