`a`
Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

A mathematical model of blood coagulation induced by activation sources

Pages: 175 - 194, Volume 25, Issue 1, September 2009

doi:10.3934/dcds.2009.25.175       Abstract        Full Text (741.8K)

Georgy Th. Guria - National Research Centre for Haematology, 125167 Moscow, Russian Federation (email)
Miguel A. Herrero - Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain (email)
Ksenia E. Zlobina - National Research Centre for Haematology, 125167 Moscow, Russian Federation (email)

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.

Keywords:  Aggregation-fragmentation equations, activator-inhibitor systems, fibrin polymerization, blood coagulation.
Mathematics Subject Classification:  Primary: 34A34, 92B99; Secondary: 92B05.

Received: August 2007;      Revised: February 2008;      Published: June 2009.