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Platelet deposition in non-parallel flow: influence of shear stress and changes in surface reactivity.

Journal of mathematical biology·2008

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A free boundary problem modeling thrombus growth: model development and numerical simulation using the level set

Frédéric Frank Weller¹

¹Department of Applied Mathematics, University of Heidelberg, Im Neuenheimer Feld 293, Heidelberg, Germany. frederic.weller@iwr.uni-heidelberg.de

Journal of Mathematical Biology

|January 8, 2010

Summary

Mathematical models of platelet deposition now incorporate thrombus growth, improving accuracy. This study develops a free boundary problem to better match experimental evidence in primary hemostasis.

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Published on: February 14, 2017

Area of Science:

Biomedical Engineering
Computational Biology
Hemostasis Research

Background:

Mathematical models of platelet deposition often neglect critical factors like shear stress, surface saturation, and thrombus growth.
Previous models focusing solely on shear stress show qualitative agreement but quantitative discrepancies with experimental data.
Incorporating surface saturation improved predictions, but neglecting thrombus growth remained a significant limitation.

Purpose of the Study:

To develop a more accurate mathematical model for platelet deposition by including thrombus growth.
To address the quantitative discrepancies observed in previous models of platelet aggregation.
To enhance the understanding of primary hemostasis by coupling flow dynamics with platelet adhesion and aggregate growth.

Main Methods:

Development of a free boundary problem to model thrombus growth dynamically.
Numerical simulations utilizing the level set method for the free boundary problem.
Validation of model predictions against experimental measurements in stagnation point flow and tubular expansions.

Main Results:

The developed free boundary model successfully incorporates thrombus growth.
Numerical simulations show strong agreement with experimental data in various flow conditions.
The model demonstrates the crucial interplay between blood flow, platelet adhesion, and aggregate formation.

Conclusions:

The coupled model accurately predicts platelet deposition by accounting for shear stress, surface saturation, and thrombus growth.
This approach significantly improves the quantitative matching of mathematical models to experimental hemostasis data.
The findings highlight the importance of considering thrombus growth for realistic modeling of primary hemostasis.