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

页码：130 / 139

页数：10

共 40 条

[1] A model for the formation, growth, and lysis of clots in quiescent plasma. A comparison between the effects of antithrombin III deficiency and protein C deficiency [J].