Reaction-diffusion waves of blood coagulation.

نویسندگان

  • Tatiana Galochkina
  • Anass Bouchnita
  • Polina Kurbatova
  • Vitaly Volpert
چکیده

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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عنوان ژورنال:
  • Mathematical biosciences

دوره 288  شماره 

صفحات  -

تاریخ انتشار 2017