血液凝固的反应扩散波

Reaction-diffusion waves of blood coagulation.

作者信息

Galochkina Tatiana, Bouchnita Anass, Kurbatova Polina, Volpert Vitaly

机构信息

Camille Jordan Institute, University Lyon 1, Villeurbanne, 69622 France; INRIA Team Dracula, INRIA Antenne Lyon la Doua, Villeurbanne, 69603 France; Department of Biophysics, Faculty of Biology, M.V. Lomonosov Moscow State University, Moscow, 119992 Russia.

Camille Jordan Institute, University Lyon 1, Villeurbanne, 69622 France; INRIA Team Dracula, INRIA Antenne Lyon la Doua, Villeurbanne, 69603 France; Laboratoire de Biométrie et Biologie Evolutive, UMR 5558 CNRS, University Lyon 1, Lyon, 69376 France; Laboratory of Study and Research in Applied Mathematics, Mohammadia School of Engineers, Mohamed V university, Rabat, Morocco.

出版信息

Math Biosci. 2017 Jun;288:130-139. doi: 10.1016/j.mbs.2017.03.008. Epub 2017 Mar 24.

DOI:10.1016/j.mbs.2017.03.008

PMID:28347652

Abstract

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.

摘要

血液凝固的主要特征之一是凝块生长的速度。在当前的工作中，我们考虑了凝血级联的数学模型，并研究了血液凝固反应扩散波的存在性、稳定性和传播速度。我们还开发了一个简化的单方程模型，该模型反映了凝血酶波传播的主要特征。对于这个方程，我们通过解析方法估计了波速。所得公式为更复杂模型中的波传播速度以及实验数据提供了很好的近似。