Repository: Freie Universit├Ąt Berlin, Math Department

Continuous modeling of arterial platelet thrombus formation using a spatial adsorption equation

Babushkina, E. S. and Bessonov, N. M. and Ataullakhanov, F. I. and Panteleev, M. A. (2015) Continuous modeling of arterial platelet thrombus formation using a spatial adsorption equation. PLoS ONE, 10 (10). ISSN 1932-6203

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Official URL: https://dx.doi.org/10.1371/journal.pone.0141068

Abstract

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.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1857
Deposited By: Ekaterina Engel
Deposited On:12 Apr 2016 18:39
Last Modified:12 Apr 2016 18:39

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