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Title: Mathematical modeling of thrombus growth in microvessels
Authors: A. G. Alenitsyn, A. S. Kondratyev, I. Mikhailova, I. Siddique
Journal: Journal of Prime Research in Mathematics
Publisher: Abdus Salam School of Mathematical Sciences, GC University
Country: Pakistan
Year: 2008
Volume: 1
Issue: 1
Language: English
Richardson’s phenomenological mathematical model of the thrombi growth in microvessels is extended to describe more realistic features of the phenomenon. Main directions of the generalization of Richardson’s model are: 1) the dependence of platelet activation time on the distance from the injured vessel wall; 2) the nonhomogeneity of the platelet distribution in blood flow in the vicinity of the vessel wall. The generalization of the model corresponds to the main experimental results concerning thrombi formation obtained in recent years. The extended model permits to achieve a numerical agreement between model and experimental data.
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