Journal
MATHEMATICAL BIOSCIENCES
Volume 288, Issue -, Pages 130-139Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2017.03.008
Keywords
Blood coagulation; Reaction-diffusion wave; Speed of propagation
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Funding
- Ministry of Education and Science of the Russian Federation [489 02.a03.21.0008]
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One of the main characteristics of blood coagulation is the speed of clot growth. In the current work we consider a mathematical model of the coagulation cascade and study existence, stability and speed of propagation of the reaction-diffusion waves of blood coagulation. We also develop a simplified one equation model that reflects the main features of the thrombin wave propagation. For this equation we estimate the wave speed analytically. The resulting formulas provide a good approximation for the speed of wave propagation in a more complex model as well as for the experimental data. (C) 2017 Elsevier Inc. All rights reserved.
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