title: Influence of Antithrombin on the Regimes of Blood Coagulation: Insights from the Mathematical Model.
abstract: Blood coagulation is regulated through a complex network of biochemical reactions of blood factors. The main acting enzyme is thrombin whose propagation in blood plasma leads to fibrin clot formation. Spontaneous clot formation is normally controlled through the action of different plasma inhibitors, in particular, through the thrombin binding by antithrombin. In the current study we develop a mathematical model of clot formation both in quiescent plasma and in blood flow and determine the analytical conditions on the antithrombin concentration corresponding to different regimes of blood coagulation.
authors.affiliation: Camille Jordan Institute, University Lyon 1, Villeurbanne, 69622, France.|Laboratoire de Biométrie et Biologie Evolutive, UMR 5558 CNRS, University Lyon 1, 69376, Lyon, 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: Camille Jordan Institute, University Lyon 1, Villeurbanne, 69622, France. tat.galochkina@gmail.com.|Department of Biophysics, Faculty of Biology, M.V. Lomonosov Moscow State University, Leninskie gory 1, Moscow, Russia, 119992. tat.galochkina@gmail.com.|Federal Research Clinical Center of Federal Medical and Biological Agency of Russia, Orekhovy boulevard 28, Moscow, Russia, 115682. tat.galochkina@gmail.com.
authors.forename: Tatiana
authors.identifier: http://orcid.org/0000-0002-3608-5208
authors.initials: T
authors.lastname: Galochkina
authors.affiliation: Camille Jordan Institute, University Lyon 1, Villeurbanne, 69622, France.
authors.forename: Vitaly
authors.initials: V
authors.lastname: Volpert
mesh_terms: D000990:Antithrombin III / Q000494:pharmacology*; D000991:Antithrombins / Q000494:pharmacology; D001777:Blood Coagulation / Q000187:drug effects*; D003198:Computer Simulation; D005337:Fibrin / Q000378:metabolism; D006801:Humans; D007700:Kinetics; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted
chemical_list: D000991:Antithrombins; D000990:Antithrombin III; D005337:Fibrin
keywords: Antithrombin inhibition; Blood coagulation; Mathematical model; Vessel occlusion