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February  2009, 25(1): 175-194. doi: 10.3934/dcds.2009.25.175

A mathematical model of blood coagulation induced by activation sources

Georgy Th. Guria 1, , Miguel A. Herrero 2, and  Ksenia E. Zlobina 1,

1. 

National Research Centre for Haematology, 125167 Moscow, Russian Federation, Russian Federation
2. 

Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain

Received  August 2007 Revised  February 2008 Published  June 2009

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.
Keywords: fibrin polymerization, activator-inhibitor systems, Aggregation-fragmentation equations, blood coagulation..
Mathematics Subject Classification: Primary: 34A34, 92B99; Secondary: 92B0.
Citation: Georgy Th. Guria, Miguel A. Herrero, Ksenia E. Zlobina. A mathematical model of blood coagulation induced by activation sources. Discrete & Continuous Dynamical Systems, 2009, 25 (1) : 175-194. doi: 10.3934/dcds.2009.25.175
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