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PLoS One. 2015 Oct 30;10(10):e0141068. doi: 10.1371/journal.pone.0141068. eCollection 2015.

Continuous Modeling of Arterial Platelet Thrombus Formation Using a Spatial Adsorption Equation.

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Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, Russia; Department of Mathematics and Computer Science, Free University of Berlin, Berlin, Germany.
Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, Russia.
Department of Physics, Moscow State University University, Moscow, Russia; Federal Research and Clinical Center of Pediatric Hematology, Oncology and Immunology, Moscow, Russia; HemaCore LLC, Moscow, Russia; Center for Theoretical Problems of Physico-Chemical Pharmacology, Russian Academy of Sciences, Moscow, Russia; Department of Translational and Regenerative Medicine, Faculty of Biological and Medical Physics, Moscow Institute of Physics and Technology, Moscow, Russia.


In this study, we considered a continuous model of platelet thrombus growth in an arteriole. A special model describing the adhesion of platelets in terms of their concentration was derived. The applications of the derived model are not restricted to only describing arterial platelet thrombus formation; the model can also be applied to other similar adhesion processes. The model reproduces an auto-wave solution in the one-dimensional case; in the two-dimensional case, in which the surrounding flow is taken into account, the typical torch-like thrombus is reproduced. The thrombus shape and the growth velocity are determined by the model parameters. We demonstrate that the model captures the main properties of the thrombus growth behavior and provides us a better understanding of which mechanisms are important in the mechanical nature of the arterial thrombus growth.

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