Reaction-diffusion waves of blood coagulation

Tatiana Galochkina (1, 2) , Anass Bouchnita (3, 2) , Polina Kurbatova (4) , Vitaly Volpert (1, 3, 2)

1 ICJ - Institut Camille Jordan
2 MMCS - Modélisation mathématique, calcul scientifique
3 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
4 LBBE - Laboratoire de Biométrie et Biologie Evolutive - UMR 5558

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.

Mots clés: Speed of propagation; Reaction-diffusion wave; Blood coagulation

Domaines: Equations aux dérivées partielles [math.AP]

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⟩