title: 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.
authors.affiliation: Camille Jordan Institute, University Lyon 1, Villeurbanne, 69622 France; INRIA Team Dracula, INRIA Antenne Lyon la Doua, Villeurbanne, 69603 France; Department of Biophysics, Faculty of Biology, M.V. Lomonosov Moscow State University, Moscow, 119992 Russia. Electronic address: tat.galochkina@gmail.com.
authors.forename: Tatiana
authors.initials: T
authors.lastname: Galochkina
authors.affiliation: Camille Jordan Institute, University Lyon 1, Villeurbanne, 69622 France; INRIA Team Dracula, INRIA Antenne Lyon la Doua, Villeurbanne, 69603 France; Laboratoire de Biométrie et Biologie Evolutive, UMR 5558 CNRS, University Lyon 1, Lyon, 69376 France; Laboratory of Study and Research in Applied Mathematics, Mohammadia School of Engineers, Mohamed V university, Rabat, Morocco.
authors.forename: Anass
authors.initials: A
authors.lastname: Bouchnita
authors.affiliation: Laboratoire de Biométrie et Biologie Evolutive, UMR 5558 CNRS, University Lyon 1, Lyon, 69376 France.
authors.forename: Polina
authors.initials: P
authors.lastname: Kurbatova
authors.affiliation: Camille Jordan Institute, University Lyon 1, Villeurbanne, 69622 France; INRIA Team Dracula, INRIA Antenne Lyon la Doua, Villeurbanne, 69603 France; RUDN University, Moscow, 117198 Russia.
authors.forename: Vitaly
authors.initials: V
authors.lastname: Volpert
mesh_terms: D001777:Blood Coagulation; D004058:Diffusion; D006801:Humans; D008954:Models, Biological; D013917:Thrombin / Q000378:metabolism
chemical_list: D013917:Thrombin
keywords: Blood coagulation; Reaction-diffusion wave; Speed of propagation