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 50 条

[1] Initiation of reaction-diffusion waves of blood coagulation
Galochkina, T.
Marion, M.
Volpert, V.
PHYSICA D-NONLINEAR PHENOMENA, 2018, 376 : 160 - 170
[2] EXISTENCE OF PULSES FOR A REACTION-DIFFUSION SYSTEM OF BLOOD COAGULATION
Ratto, Nicolas
Marion, Martine
Volpert, Vitaly
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020, 55 (01) : 141 - 167
[3] Existence of pulses for a reaction-diffusion system of blood coagulation in flow
Ratto, Nicolas
Marion, Martine
Volpert, Vitaly
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (05) : 4196 - 4212
[4] Reaction-diffusion waves in biology
Volpert, V.
Petrovskii, S.
PHYSICS OF LIFE REVIEWS, 2009, 6 (04) : 267 - 310
[5] Flames and reaction-diffusion waves
Clavin, P.
Materials Science Forum, 1994, 155-5 : 445 - 446
[6] Reaction-diffusion and phase waves occurring in a class of scalar reaction-diffusion equations
Needham, DJ
Barnes, AN
NONLINEARITY, 1999, 12 (01) : 41 - 58
[7] Reaction-Diffusion Systems and Nonlinear Waves
R. K. Saxena
A. M. Mathai
H. J. Haubold
Astrophysics and Space Science, 2006, 305 : 297 - 303
[8] SPIRAL WAVES IN REACTION-DIFFUSION EQUATIONS
HAGAN, PS
SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (04) : 762 - 786
[9] Packet waves in a reaction-diffusion system
Vanag, VK
Epstein, IR
PHYSICAL REVIEW LETTERS, 2002, 88 (08) : 4
[10] Dancing waves in reaction-diffusion systems
Abe, Y
Yoshida, R
JOURNAL OF PHYSICAL CHEMISTRY A, 2005, 109 (17): : 3773 - 3776

← 1 2 3 4 5 →