Reaction-diffusion waves of blood coagulation - Archive ouverte HAL Access content directly
Journal Articles Mathematical Biosciences Year : 2017

Reaction-diffusion waves of blood coagulation

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.
Fichier principal
Vignette du fichier
elsarticle-template-num.pdf (437.54 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01567320 , version 1 (26-07-2017)

Identifiers

Cite

Tatiana Galochkina, Anass Bouchnita, Polina Kurbatova, Vitaly Volpert. Reaction-diffusion waves of blood coagulation. Mathematical Biosciences, 2017, 288, pp.130 - 139. ⟨10.1016/j.mbs.2017.03.008⟩. ⟨hal-01567320⟩
255 View
159 Download

Altmetric

Share

Gmail Facebook X LinkedIn More