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J Theor Biol. 2013 Nov 21;337:30-41. doi: 10.1016/j.jtbi.2013.07.023. Epub 2013 Jul 31.

Modelling of thrombus growth in flow with a DPD-PDE method.

Author information

1
Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France; INRIA Team Dracula, INRIA Antenne Lyon la Doua, 69603 Villeurbanne, France. Electronic address: tosenberger@math.univ-lyon1.fr.
2
National Research Center for Haematology, Ministry of Health and Social Development of Russian Federation, Novii Zykovskii pr., 4a, 125167 Moscow, Russia; Federal Research and Clinical Centre of Paediatric Haematology, Oncology and Immunology, Ministry of Health and Social Development of Russian Federation, Samori Marshela str., 1, 117198 Moscow, Russia; Faculty of Physics, M. V. Lomonosov Moscow State University, GSP-1, 1-2 Leninskiye Gory, 119991 Moscow, Russia; Center for Theoretical Problems of Physicochemical Pharmacology, Russian Academy of Sciences, Kosygina str., 4, 119991 Moscow, Russia.
3
Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia.
4
National Research Center for Haematology, Ministry of Health and Social Development of Russian Federation, Novii Zykovskii pr., 4a, 125167 Moscow, Russia; Federal Research and Clinical Centre of Paediatric Haematology, Oncology and Immunology, Ministry of Health and Social Development of Russian Federation, Samori Marshela str., 1, 117198 Moscow, Russia.
5
Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France; INRIA Team Dracula, INRIA Antenne Lyon la Doua, 69603 Villeurbanne, France; European Institute of Systems Biology and Medicine, 69007 Lyon, France.

Abstract

Hemostatic plug covering the injury site (or a thrombus in the pathological case) is formed due to the complex interaction of aggregating platelets with biochemical reactions in plasma that participate in blood coagulation. The mechanisms that control clot growth and which lead to growth arrest are not yet completely understood. We model them with numerical simulations based on a hybrid DPD-PDE model. Dissipative particle dynamics (DPD) is used to model plasma flow with platelets while fibrin concentration is described by a simplified reaction-diffusion-advection equation. The model takes into account consecutive stages of clot growth. First, a platelet is weakly connected to the clot and after some time this connection becomes stronger due to other surface receptors involved in platelet adhesion. At the same time, the fibrin mesh is formed inside the clot. This becomes possible because flow does not penetrate the clot and cannot wash out the reactants participating in blood coagulation. Platelets covered by the fibrin mesh cannot attach new platelets. Modelling shows that the growth of a hemostatic plug can stop as a result of its exterior part being removed by the flow thus exposing its non-adhesive core to the flow.

KEYWORDS:

Blood coagulation; Dissipative particle dynamics; Hybrid models; Thrombus growth

PMID:
23916879
DOI:
10.1016/j.jtbi.2013.07.023
[Indexed for MEDLINE]

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