Reaction-diffusion waves of blood coagulation

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. © 2017 Elsevier Inc.

Authors
Galochkina T.1, 2, 3 , Bouchnita A.1, 2, 4, 5 , Kurbatova P.4 , Volpert V. 1, 2, 6
Journal
Mathematical Biosciences
Publisher
Elsevier Inc.
Language
English
Pages
130-139
Status
Published
Link
External link
DOI
10.1016/j.mbs.2017.03.008
Volume
288
Year
2017
Organizations
  • 1 Camille Jordan Institute, University Lyon 1, Villeurbanne, 69622, France
  • 2 INRIA Team Dracula, INRIA Antenne Lyon la Doua, Villeurbanne, 69603, France
  • 3 Department of Biophysics, Faculty of Biology, M.V. Lomonosov Moscow State University, Moscow, 119992, Russian Federation
  • 4 Laboratoire de Biométrie et Biologie Evolutive, UMR 5558 CNRS, University Lyon 1, Lyon, 69376, France
  • 5 Laboratory of Study and Research in Applied Mathematics, Mohammadia School of Engineers, Mohamed V university, Rabat, Morocco
  • 6 RUDN University, Moscow, 117198, Russian Federation
Keywords
Blood coagulation; Reaction-diffusion wave; Speed of propagation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5499/
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