A simplified mathematical model for thrombin generation

Medical Engineering and Physics

Volumn 36, Issue 2, 2014, Pages 196-204

  Papadopoulos, Konstantinos P ^a   Gavaises, Manolis ^a   Atkin, Chris ^a  

^a CITY UNIVERSITY   (United Kingdom)

Author keywords

CFD; Coagulation; Simulation; Thrombus

Indexed keywords

CFD; COAGULATION; SIMULATION; THROMBUS;

BLOOD PLATELETS; HYDRODYNAMICS; MODELS, BIOLOGICAL; PLATELET ACTIVATION; THROMBIN;

EID: 84895073267     PISSN: 13504533     EISSN: 18734030     Source Type: Journal    
DOI: 10.1016/j.medengphy.2013.10.012     Document Type: Article

References (62)

1. Rauch U., Osende J.I., Fuster V., Badimon J.J., Fayad Z., Chesebro J.H. Thrombus formation on atherosclerotic plaques: pathogenesis and clinical consequences. Ann Intern Med 2001, 134:224-238.
2. Nesbitt W.S., Westein E., Tovar-Lopez F.J., Tolouei E., Mitchell A., Fu J., et al. A shear gradient-dependent platelet aggregation mechanism drives thrombus formation. Nat Med 2009, 15:665-673.
3. Furie B., Furie B.C. Mechanisms of thrombus formation. N Engl J Med 2008, 359:938-949.
4. Mosesson M.W. Fibrinogen and fibrin structure and functions. J Thromb Haemost 2005, 3:1894-1904.
5. Brass L.F. Thrombin and platelet activation. Chest J 2003, 124:18S-25S.
6. Jesty J., Yin W., Perrotta P., Bluestein D. Platelet activation in a circulating flow loop: combined effects of shear stress and exposure time. Platelets 2003, 14:143-149.
7. Badimon L., Badimon J.J., Galvez A., Chesebro J.H., Fuster V. Influence of arterial damage and wall shear rate on platelet deposition. Ex vivo study in a swine model. Arterioscler Thromb Vasc Biol 1986, 6:312-320.
8. Fernández-Ortiz A., Badimon J.J., Falk E., Fuster V., Meyer B., Mailhac A., et al. Characterization of the relative thrombogenicity of atherosclerotic plaque components: implications for consequences of plaque rupture. J Am Coll Cardiol 1994, 23:1562-1569.
9. Reininger A.J., Bernlochner I., Penz S.M., Ravanat C., Smethurst P., Farndale R.W., et al. A 2-step mechanism of arterial thrombus formation induced by human atherosclerotic plaques. J Am Coll Cardiol 2010, 55:1147-1158.
10. Rosing J., van Rijn J., Bevers E., van Dieijen G., Comfurius P., Zwaal R. The role of activated human platelets in prothrombin and factor X activation. Blood 1985, 65:319-332.
11. Monroe D.M., Hoffman M., Roberts H.R. Platelets and thrombin generation. Arterioscler Thromb Vasc Biol 2002, 22:1381-1389.
12. Smith S.A. The cell-based model of coagulation. J Vet Emerg Crit Care 2009, 19:3-10.
13. Rendu F., Brohard-Bohn B. The platelet release reaction: granules' constituents, secretion and functions. Platelets 2001, 12:261-273.
14. Willems G., Lindhout T., Hermens W.T., Hemker H. Simulation model for thrombin generation in plasma. Pathophysiol Haemost Thromb 1991, 21:197-207.
15. Lawson J.H., Kalafatis M., Stram S., Mann K.G. A model for the tissue factor pathway to thrombin. I. An empirical study. J Biol Chem 1994, 269:23357-23366.
16. Jones K.C., Mann K.G. A model for the tissue factor pathway to thrombin. II. A mathematical simulation. J Biol Chem 1994, 269:23367-23373.
17. Zarnitsina V.I., Pokhilko A.V., Ataullakhanov F.I. A mathematical model for the spatio-temporal dynamics of intrinsic pathway of blood coagulation. II. Results. Thromb Res 1996, 84:333-344.
18. Zarnitsina V.I., Pokhilko A.V., Ataullakhanov F.I. A mathematical model for the spatio-temporal dynamics of intrinsic pathway of blood coagulation. I. The model description. Thromb Res 1996, 84:225-236.
19. Hockin M.F., Jones K.C., Everse S.J., Mann K.G. A model for the stoichiometric regulation of blood coagulation. J Biol Chem 2002, 277:18322-18333.
20. Lo K., Denney W.S., Diamond S.L. Stochastic modeling of blood coagulation initiation. Pathophysiol Haemost Thromb 2005, 34:80-90.
21. Beltrami E., Jesty J. Mathematical analysis of activation thresholds in enzyme-catalyzed positive feedbacks: application to the feedbacks of blood coagulation. Proc Natl Acad Sci USA 1995, 92:8744-8748.
22. Xu C., Hu Xu X., Zeng Y., Wen Chen Y. Simulation of a mathematical model of the role of the TFPI in the extrinsic pathway of coagulation. Comput Biol Med 2005, 35:435-445.
23. Qiao Y.H., Xu C.Q., Zeng Y.J., Xu X.H., Zhao H., Xu H. The kinetic model and simulation of blood coagulation - the kinetic influence of activated protein C. Med Eng Phys 2004, 26:341-347.
24. Hubbell J.A., McIntire L.V. Platelet active concentration profiles near growing thrombi. A mathematical consideration. Biophys J 1986, 50:937-945.
25. Folie B.J., McIntire L.V. Mathematical analysis of mural thrombogenesis. Concentration profiles of platelet-activating agents and effects of viscous shear flow. Biophys J 1989, 56:1121-1141.
26. Kuharsky A.L., Fogelson A.L. Surface-mediated control of blood coagulation: the role of binding site densities and platelet deposition. Biophys J 2001, 80:1050-1074.
27. Fogelson A.L., Guy R.D. Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Math Med Biol 2004, 21:293-334.
28. Fogelson A.L., Tania N. Coagulation under flow: the influence of flow-mediated transport on the initiation and inhibition of coagulation. Pathophysiol Haemost Thromb 2005, 34:91-108.
29. Lai M.-C., Peskin C.S. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J Comput Phys 2000, 160:705-719.
30. Peskin C.S. The immersed boundary method. Acta Numerica 2002, 11:479-517.
31. Fogelson A.L., Guy R.D. Immersed-boundary-type models of intravascular platelet aggregation. Comput Meth Appl Mech Eng 2008, 197:2087-2104.
32. Yang X.S., Lewis R.W., Zhang H.Y. Finite element analysis of fogelson's model for platelet aggregation. European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2004) 2004.
33. Leiderman K., Fogelson A.L. Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow. Math Med Biol 2011, 28:47-84.
34. Anand M., Rajagopal K., Rajagopal K.R. A model incorporating some of the mechanical and biochemical factors underlying clot formation and dissolution in flowing blood. J Theor Med 2003, 5:183-218.
35. Anand M., Rajagopal K., Rajagopal K.R. A model for the formation and lysis of blood clots. Pathophysiol Haemost Thromb 2005, 34:109-120.
36. Bodnár T., Sequeira A. Numerical simulation of the coagulation dynamics of blood. Comput Math Methods Med 2008, 9:83-104.
37. Xu Z., Chen N., Kamocka M.M., Rosen E.D., Alber M. A multiscale model of thrombus development. J R Soc Interface 2008, 5:705-722.
38. Marée A.M., Grieneisen V., Hogeweg P. The cellular Potts model and biophysical properties of cells, tissues and morphogenesis. Single-cell-based models in biology and medicine 2007, 107-136. Birkhäuser, Basel. A.A. Anderson, M.J. Chaplain, K. Rejniak (Eds.).
39. Xu Z., Lioi J., Mu J., Kamocka M.M., Liu X., Chen D.Z., et al. A multiscale model of venous thrombus formation with surface-mediated control of blood coagulation cascade. Biophys J 2010, 98:1723-1732.
40. Xu Z., Chen N., Shadden S.C., Marsden J.E., Kamocka M.M., Rosen E.D., et al. Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter 2009, 5:769-779.
41. Oliver J.A., Monroe D.M., Roberts H.R., Hoffman M. Thrombin activates factor XI on activated platelets in the absence of factor XII. Arterioscler Thromb Vasc Biol 1999, 19:170-177.
42. Wagenvoord R., Hemker P.W., Hemker H.C. The limits of simulation of the clotting system. J Thromb Haemost 2006, 4:1331-1338.
43. van't Veer C., Mann K.G. Regulation of tissue factor initiated thrombin generation by the stoichiometric inhibitors tissue factor pathway inhibitor, antithrombin-III, and heparin cofactor-II. J Biol Chem 1997, 272:4367-4377.
44. Hemker H.C., Béguin S. Thrombin generation in plasma: its assessment via the endogenous thrombin potential. Thromb Haemost 1995, 74:134-138.
45. Okorie U.M., Denney W.S., Chatterjee M.S., Neeves K.B., Diamond S.L. Determination of surface tissue factor thresholds that trigger coagulation at venous and arterial shear rates: amplification of 100 fM circulating tissue factor requires flow. Blood 2008, 111:3507-3513.
46. Shen F., Kastrup C.J., Liu Y., Ismagilov R.F. Threshold response of initiation of blood coagulation by tissue factor in patterned microfluidic capillaries is controlled by shear rate. Arterioscler Thromb Vasc Biol 2008, 28:2035-2041.
47. Sorensen E.N., Burgreen G.W., Wagner W.R., Antaki J.F. Computational simulation of platelet deposition and activation: I. model development and properties. Ann Biomed Eng 1999, 27:436-448.
48. Liu L., Freedman J., Hornstein A., Fenton J.W., Ofosu F.A. Thrombin binding to platelets and their activation in plasma. Br J Haematol 1994, 88:592-600.
49. Frojmovic M.M., Mooney R.F., Wong T. Dynamics of platelet glycoprotein IIb-IIIa receptor expression and fibrinogen binding. I. Quantal activation of platelet subpopulations varies with adenosine diphosphate concentration. Biophys J 1994, 67:2060-2068.
50. Frojmovic M.M., Mooney R.F., Wong T. Dynamics of platelet glycoprotein IIb-IIIa receptor expression and fibrinogen binding. II. Quantal activation parallels platelet capture in stir-associated microaggregation. Biophys J 1994, 67:2069-2075.
51. Gerotziafas G.T., Depasse F., Busson J., Leflem L., Elalamy I., Samama M.M. Towards a standardization of thrombin generation assessment: the influence of tissue factor, platelets and phospholipids concentration on the normal values of thrombogram-trombinoscope assay. Thrombosis J 2005, 3.
52. SBtoolbox Systems Biology Toolbox for MATLAB: a computational platform for research in systems biology. Bioinform Biol Insights 2006, 22:514-515.
53. Hemker H.C., Giesen P., Al Dieri R., Regnault V., ronique e, de Smedt E., et al. Calibrated automated thrombin generation measurement in clotting plasma. Pathophysiol Haemost Thromb 2003, 33:4-15.
54. Allen G., Wolberg A., Oliver J., Hoffman M., Roberts H., Monroe Impact of procoagulant concentration on rate, peak and total thrombin generation in a model system. J Thromb Haemost 2004, 2:402-413.
55. Ninivaggi M., Apitz-Castro R., Dargaud Y., de Laat B., Hemker H.C., Lindhout T. Whole-blood thrombin generation monitored with a calibrated automated thrombogram-based assay. Clin Chem 2012, 58:1252-1259.
56. Whelihan M.F., Mann K.G. The role of the red cell membrane in thrombin generation. Thromb Res 2013, 131:377-382.
57. Brummel-Ziedins K. Models for thrombin generation and risk of disease. J Thromb Haemost 2013, 11:212-223.
58. van Dijk K., van der Bom J.G., Lenting P.J., de Groot P.G., Mauser-Bunschoten E.P., Roosendaal G., et al. Factor VIII half-life and clinical phenotype of severe hemophilia A. Haematologica 2005, 90:494-498.
59. Bonderman D., Teml A., Jakowitsch J., Adlbrecht C., Gyöngyösi M., Sperker W., et al. Coronary no-reflow is caused by shedding of active tissue factor from dissected atherosclerotic plaque. Blood 2002, 99:2794-2800.
60. Arabinda Guha R.B., Konigsberg W., Nemerson Y. Affinity purification of human tissue factor: interaction of factor VII and tissue factor in detergent micelles. Biochemistry (Mosc) 1986, 83:299-302.
61. Van Veen J., Gatt A., Makris M. Thrombin generation testing in routine clinical practice: are we there yet?. Br J Haematol 2008, 142:889-903.
62. Hemker H.C., Giesen P., Ramjee M., Wagenvoord R., Béguin S. The thrombogram: monitoring thrombin generation in platelet rich plasma. Thromb Haemost 2000, 83:589-591.