Literature DB >> 28347652

Reaction-diffusion waves of blood coagulation.

Tatiana Galochkina1, Anass Bouchnita2, Polina Kurbatova3, Vitaly Volpert4.   

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.
Copyright © 2017 Elsevier Inc. All rights reserved.

Entities:  

Keywords:  Blood coagulation; Reaction-diffusion wave; Speed of propagation

Mesh：

Substances：

Year:  2017        PMID： 28347652     DOI： 10.1016/j.mbs.2017.03.008

Source DB:  PubMed          Journal:  Math Biosci        ISSN： 0025-5564            Impact factor:   2.144


  3 in total

1.  A mathematical model to quantify the effects of platelet count, shear rate, and injury size on the initiation of blood coagulation under venous flow conditions.

Authors:  Anass Bouchnita; Kirill Terekhov; Patrice Nony; Yuri Vassilevski; Vitaly Volpert
Journal:  PLoS One       Date:  2020-07-29       Impact factor: 3.240

2.  Patient-Specific Modelling of Blood Coagulation.

Authors:  N Ratto; A Bouchnita; P Chelle; M Marion; M Panteleev; D Nechipurenko; B Tardy-Poncet; V Volpert
Journal:  Bull Math Biol       Date:  2021-03-27       Impact factor: 1.758

3.  Reduced model to predict thrombin and fibrin during thrombosis on collagen/tissue factor under venous flow: Roles of γ'-fibrin and factor XIa.

Authors:  Jason Chen; Scott L Diamond
Journal:  PLoS Comput Biol       Date:  2019-08-05       Impact factor: 4.475
  3 in total

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