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Extrinsic and Intrinsic Pathways of Hemostasis

Extrinsic and Intrinsic Pathways of Hemostasis

Blood clotting or coagulation involves extrinsic and intrinsic pathways, which ultimately merge into the common pathway, forming a fibrin clot.
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Related Experiment Video

Updated: Mar 5, 2026

A Microfluidic Flow Chamber Model for Platelet Transfusion and Hemostasis Measures Platelet Deposition and Fibrin Formation in Real-time

A Microfluidic Flow Chamber Model for Platelet Transfusion and Hemostasis Measures Platelet Deposition and Fibrin Formation in Real-time

Published on: February 14, 2017

Reaction-diffusion waves of blood coagulation.

Tatiana Galochkina¹, Anass Bouchnita², Polina Kurbatova³

¹Camille 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.

Mathematical Biosciences

|March 29, 2017

Summary

This study models blood coagulation waves, analyzing clot growth speed. A simplified model accurately estimates thrombin wave propagation speed, aligning with complex models and experimental data.

Keywords:

Blood coagulation Reaction-diffusion wave Speed of propagation

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Last Updated: Mar 5, 2026

A Microfluidic Flow Chamber Model for Platelet Transfusion and Hemostasis Measures Platelet Deposition and Fibrin Formation in Real-time

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Published on: February 14, 2017

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Published on: March 19, 2016

Area of Science:

Biophysics
Mathematical Biology
Biochemistry

Background:

Blood coagulation is a complex process critical for hemostasis.
Understanding the dynamics of clot formation, specifically clot growth speed, is essential.
Reaction-diffusion waves are implicated in the spatial propagation of coagulation.

Purpose of the Study:

To investigate the existence, stability, and propagation speed of reaction-diffusion waves in a mathematical model of the blood coagulation cascade.
To develop and analyze a simplified one-equation model for thrombin wave propagation.
To analytically estimate wave speeds and validate them against complex models and experimental data.

Main Methods:

Mathematical modeling of the coagulation cascade.
Analysis of reaction-diffusion wave phenomena.
Development and analytical estimation of wave speed in a simplified model.

Main Results:

The study establishes the existence, stability, and propagation speed of coagulation waves.
A simplified model effectively captures key features of thrombin wave propagation.
Analytical formulas derived for wave speed provide good approximations for both complex models and experimental observations.

Conclusions:

Mathematical modeling provides valuable insights into blood coagulation dynamics.
The simplified model offers an efficient tool for predicting thrombin wave propagation speed.
The findings contribute to a better understanding of clot growth kinetics and have potential implications for hemostasis research.