Различные виды феноменологических математических моделей тромбообразования в микрососудах
https://doi.org/10.18705/2311-4495-2015-0-6-53-63
Аннотация
Об авторах
А. С. КондратьевРоссия
А. В. Ляпцев
Россия
И. А. Михайлова
Россия
Н. Н. Петрищев
Россия
Список литературы
1. A. Kondratyev, I. Mikhailova, Mathematical Modeling of Laser-Induced Thrombus Formation in Microvasculature.In: Mathematical Modeling. (Ed. Christopher R. Brennan). N.Y.: Nova Science Publishers, Inc. 2011: Ch. 5.
2. J. D. Murray, Mathematical Biology. N.Y.: Springer-Verlag, 2004; 551 p.
3. A. Alenitsyn, A. Kondratyev, I. Mikhailova, I. Siddique, Mathematical modeling of thrombus growth in mesenteric vessels. Math. Biosc. 2010; 224: 29-34.
4. R. Ouared, B. Chopard, B. Stahl, D.A. Rufenacht, H. Yilmaz, G. Courbebaisse, Thrombosis modeling in intracranial aneurysms: a lattice Boltzmann numerical algorithm. Comput. Phys. Commun. 2008;179 : 128-131.
5. T. W. Secomb, Theoretical Models for Regulation of Blood Flow. Microcirculation. 2008;15: 765-775.
6. A.A. Tokarev, A.A. Butylin, F.I. Ataullakhanov, Platelet Adhesion from Shear Blood Flow is Controlled by Near-Wall Rebounding Collisions with Erythrocytes. Biophys. J. 2011;100: 799-808.
7. A.A. Tokarev, Yu.V. Krasotkina, M.V. Ovanesov, M.A. Panteleev, M.A. Azhigirova, V.A. Volpert, F.I. Ataullakhanov, A.A. Butylin, Spatial Dynamics of Contact-Activated Fibrin Clot Formation in vitro and in silico in Haemophilia B: Effects of Severity and Ahemphil B Treatment. Mathematical modeling of natural phenomena. 2006;1: 124-137.
8. A. Tokarev, I. Sirakov, G. Panasenko, V. Volpert,E. Shnjl, A. Butylin, F. Ataullakhanov, Continuous Mathematical Model of Platelet Thrombus Formation in Blood Flow. Russian Journal of Numerical Analysis and Mathematical Modeling. 2012;27: 191-212.
9. Z. Xu, N. Chen, S. Shadden, J.E. Marsden, M.M. Kamocka, E.D. Rosen, M.S. Alber, Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter. 2009;5 :769-779.
10. Z. Xu, N. Chen, S. Shadden, J.E. Marsden, M.M. Kamocka, E.D. Rosen, M.S. Alber, Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter. 2009; 5: 769-779.
11. N.Petrishchev, I.Mikhailova. Thrombi formation parameters in mesenteric arterioles and venules in rats. Thromb. Res. 1993; 72;347-352
12. B. Furie, B.C. Furie, Thrombus formation in vivo. J. Clin. Invest. 2005;5: 3355-3362.
13. S. Mordon, S. Begu, B. Buys, C. Tourne-Peteilh, J. Devoisselle, Study of platelet behavior in vivo after endothelial stimulation with laser irradiation using fluorescence intravital videomicroscopy and PEGylated liposome staining. Microvasc. Res. 2002;64: 316-325.
14. Z.M. Ruggeri, Old concepts and new developments in the study of platelet aggregation. J. Clin. Invest. 2000;105: 699-701.
15. Z.M. Ruggeri, G.L. Mendolicchio, Adhesion mechanisms in platelet function. Circ. Res. 2007;100: 1673-1685.
16. A. Tailor, D. Cooper, D.N. Granger, Platelet-Vessel Wall Interactions in the Microcirculation. Microcirculation. 2005; 12: 275-285.
17. D. Varga-Szabo, I. Pleines, B. Nieswandt, Cell adhesion mechanisms in platelets, Arterioscler. Thromb. Vasc. Biol. 2008; 28: 403-412.
18. T. David, P.G. Walker, Activation and extinction models for platelet adhesion. Biorheology. 2002; 39:293-298.
19. A. L. Kuharsky, A.L. Fogelson, Surface-mediated control of blood coagulation: the role of binding site densities and platelet deposition. Biophys. J. 2001;80: 1050-1074.
20. I.V. Pivkin, P.D. Richardson, G. Karniadakis, Blood flow velocity effects and role of activation delay time on growth and form of platelet thrombi. Proc. Natl. Acad. Sci. USA.2006; 103: 17164-17169.
21. D. Wootton, C. Marcou, S. Hanson, D. Ku, A mechanistic model of acute platelet accumulation in thrombogenic stenoses Ann. Biom. Eng. 2001;29: 321-329.
22. N. Begent, G.V.R. Born, Growth rate in vivo of platelet thrombi, produced by iontophoresis of ADP as a function of mean blood velocity. Nature. 1970; 227: 926-930.
23. A.S. Kondratyev, I.A. Mikhailova, N.N. Petrishchev, Effect of blood flow velocity on platelet thrombi formation in microvessels. Biophysics.1990;35: 469-472.
24. N.N. Petrishchev, A.S. Kondratyev, I.A. Mikhailova, Effect of blood flow on thrombus growth in mesenteric vessels. 6th World Congress for Microcirculation, Munich (Germany). 1996: 487-490.
25. M. Sato, N. Ohshima, Hemodynamics at stenosis formed by growing platelet thrombi in mesenteric microvasculature of rat. Microvasc. Res. 1986;31: 66-76.
26. P.D. Richardson, Effect of blood flow velocity on growth rate of platelet thrombi. Nature. 1970;245: 103-104.
27. A. Bonnefoy, Q. Lui, C. Legrand, M. Frojmovic, Efficiency of platelet adhesion to fibrinogen depends on both cell activation and flow. Biophys. J. 2000;78: 2834-2843.
28. M.F. Hockin, K.J. Jones, S.J. Everse, K.G. Mann. A model for the stoichiometric regulation of blood coagulation. J. Bio. Chem. 2002;277: 18322-18333.
29. S. Kulharni, S.M. Dopheide, C.L. Yap, C. Ravanat et al. A revised model of platelet aggregation, J. Clin. Invest. 2000; 105: 783-791.
30. L.D. Landau, E.M. Lifshitz. Fluid Mechanics.(Ed. Butterworth - Heinemann). 1987; Vol. 6.
Рецензия
Для цитирования:
Кондратьев А.С., Ляпцев А.В., Михайлова И.А., Петрищев Н.Н. Различные виды феноменологических математических моделей тромбообразования в микрососудах. Трансляционная медицина. 2015;(6):53-63. https://doi.org/10.18705/2311-4495-2015-0-6-53-63
For citation:
Kondratyev A.S., Lyaptsev A.V., Mikhailova I.A., Petrishchev N.N. Different Types of Phenomenological Mathematical Models of Thrombus Growth. Translational Medicine. 2015;(6):53-63. (In Russ.) https://doi.org/10.18705/2311-4495-2015-0-6-53-63