Reaction-diffusion waves of blood coagulation - Archive ouverte HAL
Article Dans Une Revue Mathematical Biosciences Année : 2017

Reaction-diffusion waves of blood coagulation

Résumé

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.
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Dates et versions

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

Identifiants

Citer

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⟩
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