Reaction-diffusion waves of blood coagulation

被引：19
|
作者：
Galochkina, Tatiana [1 ,2 ,3 ]
Bouchnita, Anass [1 ,2 ,4 ,5 ]
Kurbatova, Polina [4 ]
Volpert, Vitaly [1 ,2 ,6 ]
机构：
[1] Univ Lyon 1, Camille Jordan Inst, F-69622 Villeurbanne, France
[2] INRIA Antenne Lyon Doua, INRIA Team Dracula, F-69603 Villeurbanne, France
[3] Moscow MV Lomonosov State Univ, Fac Biol, Dept Biophys, Moscow 119992, Russia
[4] Univ Lyon 1, CNRS, UMR 5558, Lab Biometrie & Biol Evolut, F-69376 Lyon, France
[5] Mohamed V Univ, Mohammadia Sch Engineers, Lab Study & Res Appl Math, Rabat, Morocco
[6] RUDN Univ, Moscow 117198, Russia
来源：
MATHEMATICAL BIOSCIENCES | 2017年 / 288卷
关键词：
Blood coagulation; Reaction-diffusion wave; Speed of propagation; SPATIOTEMPORAL DYNAMICS; FACTOR-XI; MATHEMATICAL-MODEL; INTRINSIC PATHWAY; PATTERN-FORMATION; SPATIAL DYNAMICS; HEMOPHILIA-B; HUMAN-PLASMA; THROMBIN; ANTITHROMBIN;
D O I：
10.1016/j.mbs.2017.03.008
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页码：130 / 139
页数：10
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