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A Predictive Model of High Shear Thrombus Growth

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A Correction to this article was published on 04 November 2019

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Abstract

The ability to predict the timescale of thrombotic occlusion in stenotic vessels may improve patient risk assessment for thrombotic events. In blood contacting devices, thrombosis predictions can lead to improved designs to minimize thrombotic risks. We have developed and validated a model of high shear thrombosis based on empirical correlations between thrombus growth and shear rate. A mathematical model was developed to predict the growth of thrombus based on the hemodynamic shear rate. The model predicts thrombus deposition based on initial geometric and fluid mechanic conditions, which are updated throughout the simulation to reflect the changing lumen dimensions. The model was validated by comparing predictions against actual thrombus growth in six separate in vitro experiments: stenotic glass capillary tubes (diameter = 345 µm) at three shear rates, the PFA-100® system, two microfluidic channel dimensions (heights = 300 and 82 µm), and a stenotic aortic graft (diameter = 5.5 mm). Comparison of the predicted occlusion times to experimental results shows excellent agreement. The model is also applied to a clinical angiography image to illustrate the time course of thrombosis in a stenotic carotid artery after plaque cap rupture. Our model can accurately predict thrombotic occlusion time over a wide range of hemodynamic conditions.

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Change history

  • 04 November 2019

    This erratum is to correct the heading of column 2 (titled ���b���) in Table��1, which was missing proper units. The heading for that column was revised to include proper units, reading ���b (�� 10���6 s)���.

  • 04 November 2019

    This erratum is to correct the heading of column 2 (titled ���b���) in Table��1, which was missing proper units. The heading for that column was revised to include proper units, reading ���b (�� 10���6 s)���.

Abbreviations

a, c :

Fitting constants (µm/min)

b, d :

Fitting constants (s)

D :

Lumen diameter

J :

Thrombus growth rate (µm/min)

J max :

Maximum thrombus growth rate (µm/min)

L :

Stenosis length

r :

Lumen radius

S :

Wall shear rate (s−1)

\(S_{J\hbox{max} }\) :

Shear rate corresponding to maximum thrombus growth rate (s−1)

t :

Time

t lag :

Lag time

\(t_{\text{Occ}}\) :

Occlusion time

vWF:

von Willebrand factor

z :

The axial direction

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Acknowledgments

The authors gratefully acknowledge the assistance of and Peter Costandi (Endologix, Inc.) and Susan Hastings in conducting the aortic graft experiments. This work was supported by a grant from the Center for Pediatric Innovation, Georgia Institute of Technology, Children’s Healthcare of Atlanta, and Emory University; Lawrence P. Huang Chair Funds, Georgia Institute of Technology; and the John and Mary Brock Discovery Fund. LDCC was supported by an American Heart Association Pre-Doctoral Fellowship (14PRE18080005). Aortic graft experiments were funded by Endologix, Inc. DNK and LDCC acted as paid consultants for Endologix, Inc. We declare that we have no other conflicts of interest.

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    Authors and Affiliations

    1. George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

      Marmar Mehrabadi, Lauren D. C. Casa, Cyrus K. Aidun & David N. Ku

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    1. Marmar Mehrabadi
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    2. Lauren D. C. Casa
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    Correspondence to David N. Ku.

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    Associate Editor Umberto Morbiducci oversaw the review of this article.

    Marmar Mehrabadi and Lauren D. C. Casa contributed equally to this article.

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    Mehrabadi, M., Casa, L.D.C., Aidun, C.K. et al. A Predictive Model of High Shear Thrombus Growth. Ann Biomed Eng 44, 2339–2350 (2016). https://doi.org/10.1007/s10439-016-1550-5

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    • DOI: https://doi.org/10.1007/s10439-016-1550-5

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