ИСТИНА

1. Introduction Intravascular thrombus formation leads to increase of the hydrodynamic resistance of blood vessel. It affects blood supply to the organs located distally. For example, in pulmonary hypertension the increase of hydrodynamic resistance of small vessels causes right ventricular failure [1]. Previously, embolization of pulmonary microcirculation [2] as well as mass transfer in microvessel networks [3] have been studied. However, one of the most powerful mechanisms of redistribution of blood supply, thrombosis, has not been studied in the context of branched vascular networks. In present work, we investigate numerically blood coagulation and thrombi formation in the network of blood vessels. 2. Materials and Methods Each vessel of the network was divided into segments in which biochemical reactions of blood coagulation occur. The description of biochemical processesis based on system of equations for concentrations of the clotting activator, inhibitor, fibrinogen. Fibrin polymerization was described by the momentum technique, developed earlier [4]. Blood flow was described by modified Navier-Stokes equations. The paper deals with arterial part of myocardium vasculature. Vascular network was made from 3D anatomical model PlasticBoy [5]. 3. Results We constructed a numerical model of blood coagulation and thrombi formation in myocardium vasculature. The appearance of thrombi causes the increase of hydrodynamic resistance of the vessels. In some cases, the resistance approaches infinity that means vessel occlusion. 4. Discussion and Conclusions Blood coagulation plays a central role in acute progression of cardio-vascular disease. Blood coagulation and vascular network blood flow should be considered in complex. In our research we investigate role of plasma coagulation cascade in blood perfusion regulation throw vascular networks, particularly, in myocardium vasculature. The numerical model may be applied to simulate blood coagulation and thrombi formation in real patient vasculature. 5. References 1. Galie N. et al. Guidelines for the diagnosis and treatment of pulmonary hypertension//Eur heart J. – 2009. – Т. 30. – №. 20. – С. 2493-537. 2. Clark A.R., Burrowes K.S., Tawhai M.H. The impact of micro-embolism size onhaemodynamic changes in the pulmonary micro-circulation // Respiratory physiology & neurobiology. – 2011. – Т. 175. – №. 3. – С. 365-374. 3. Doyeux V. et al. Upscaling mass transfer in 3D anatomically accurate brainmicrovascular networks //13èmes Journéess d'études des Milieux Poreux 2016. –2016. 4. Guria G.Th., Herrero M.A., Zlobina K.E. A mathematical model of blood coagulationinduced by activation sources // Discrete and Continuous Dynamical Systems. SeriesA. 2009; 25(1):175-194. 5. http://www.plasticboy.co.uk Acknowledgements: The authors would like to thank the Russian Science Foundation(Grant no: 14-14-00990) for providing financial support to this project.