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A mathematical model of blood coagulation induced by activation sources

Guria, G. T. and Herrero, Miguel A. and Zlobina, K. E. (2009) A mathematical model of blood coagulation induced by activation sources. Discrete and Continuous Dynamical Systems. Series A., 25 (1). pp. 175-194. ISSN 1078-0947

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Abstract

In this work a mathematical model for blood coagulation induced by an activator source is presented. Blood coagulation is viewed as a process resulting in fibrin polymerization, which is considered as the first step towards thrombi formation. We derive and study a system for the first moments of the polymer concentrations and the activating variables. Analysis of this last model allows us to identify parameter regions which could lead to thrombi formation, both in homeostatic and pathological situations.


Item Type:Article
Uncontrolled Keywords:Aggregation-fragmentation equations; activator-inhibitor systems; fibrin polymerization; blood coagulation; sol-gel transition; polymerization; thrombosis; equations; kinetics; gelation; cancer; flow
Subjects:Medical sciences > Medicine > Hematology
Sciences > Mathematics > Operations research
ID Code:16181
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