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Zheng X, Yazdani A, Li H, Humphrey JD, Karniadakis GE. A three-dimensional phase-field model for multiscale modeling of thrombus biomechanics in blood vessels. PLoS Comput Biol 2020; 16:e1007709. [PMID: 32343724 PMCID: PMC7224566 DOI: 10.1371/journal.pcbi.1007709] [Citation(s) in RCA: 30] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/05/2019] [Revised: 05/14/2020] [Accepted: 02/03/2020] [Indexed: 01/10/2023] Open
Abstract
Mechanical interactions between flowing and coagulated blood (thrombus) are crucial in dictating the deformation and remodeling of a thrombus after its formation in hemostasis. We propose a fully-Eulerian, three-dimensional, phase-field model of thrombus that is calibrated with existing in vitro experimental data. This phase-field model considers spatial variations in permeability and material properties within a single unified mathematical framework derived from an energy perspective, thereby allowing us to study effects of thrombus microstructure and properties on its deformation and possible release of emboli under different hemodynamic conditions. Moreover, we combine this proposed thrombus model with a particle-based model which simulates the initiation of the thrombus. The volume fraction of a thrombus obtained from the particle simulation is mapped to an input variable in the proposed phase-field thrombus model. The present work is thus the first computational study to integrate the initiation of a thrombus through platelet aggregation with its subsequent viscoelastic responses to various shear flows. This framework can be informed by clinical data and potentially be used to predict the risk of diverse thromboembolic events under physiological and pathological conditions.
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Affiliation(s)
- Xiaoning Zheng
- Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America
| | - Alireza Yazdani
- Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America
| | - He Li
- Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America
| | - Jay D. Humphrey
- Department of Biomedical Engineering, Yale University, New Haven, Connecticut, United States of America
| | - George E. Karniadakis
- Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America
- * E-mail:
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Christiansen CB, Gerds TA, Olesen JB, Kristensen SL, Lamberts M, Lip GYH, Gislason GH, Køber L, Torp-Pedersen C. Atrial fibrillation and risk of stroke: a nationwide cohort study. Europace 2016; 18:1689-1697. [PMID: 26838693 DOI: 10.1093/europace/euv401] [Citation(s) in RCA: 38] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/26/2015] [Accepted: 11/06/2015] [Indexed: 11/12/2022] Open
Abstract
AIM Although the relation between stroke risk factors and stroke in patients with atrial fibrillation (AF) has been extensively examined, only few studies have explored the association of AF and the risk of ischaemic stroke/systemic thromboembolism/transient ischaemic attack (stroke/TE/TIA) in the presence of concomitant stroke risk factors. METHODS AND RESULTS From nationwide registries, all persons who turned 50, 60, 70, or 80 from 1997 to 2011 were identified. Persons receiving warfarin were excluded. The absolute risk of stroke/TE/TIA was reported for a 5-year period, as was the absolute risk ratios for AF vs. no AF according to prior stroke and the number of additional risk factors. The study cohort comprised of 3 076 355 persons without AF and 48 189 with AF. For men aged 50 years, with no risk factors, the 5-year risk of stroke was 1.1% (95% confidence interval 1.1-1.1); with AF alone 2.5% (1.8-3.2); with one risk factor and no prior stroke or AF 2.5% (2.3-2.7); and with one factor, no prior stroke and AF 2.9% (1.4-4.3). In men aged 50 years with prior stroke as the only risk factor, 5-year risk was 10.2% (9.1-11.3). In men aged 70 years, the corresponding risks were 4.8% (4.7-4.9), 6.8% (5.7-7.9), 6.6% (6.3-6.8), 8.7 (7.4-9.9), and 19.1% (18.1-20.1), respectively. In women aged 50 years, the risk was of 0.7% (0.7-0.7), 2.1% (0.9-3.2), 1.6% (1.4-1.8), 4.1% (0.6-7.6), and 7.2% (6.3-8.2), respectively, and in women aged 70 years 3.4% (3.3-3.5), 8.2% (7.0-9.5), 4.6% (4.4-4.8), 9.1% (7.5-10.6), and 15.4% (14.5-16.4), respectively. CONCLUSIONS Stroke/TE/TIA risk was particularly increased when prior stroke/TE/TIA was present. Atrial fibrillation is associated with an increase in risk of stroke/TE/TIA in the absence of other risk factors but only a moderate increase in risk when other risk factors are present.
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Affiliation(s)
| | - Thomas A Gerds
- Department of Public Health, Section of Biostatistics, University of Copenhagen, Øster Farimagsgade 5, Copenhagen, Denmark
| | - Jonas Bjerring Olesen
- Department of Cardiology, Gentofte Hospital, Niels Andersens Vej 65, Hellerup 2900, Denmark
| | - Søren Lund Kristensen
- Department of Cardiology, Gentofte Hospital, Niels Andersens Vej 65, Hellerup 2900, Denmark
| | - Morten Lamberts
- Department of Cardiology, Gentofte Hospital, Niels Andersens Vej 65, Hellerup 2900, Denmark
| | - Gregory Y H Lip
- University of Birmingham Centre for Cardiovascular Sciences, Birmingham City Hospital, Dudley Road, Birmingham B18 7QH, UK
| | - Gunnar H Gislason
- Department of Public Health, Section of Biostatistics, University of Copenhagen, Øster Farimagsgade 5, Copenhagen, Denmark.,Faculty of Health and Medical Sciences, University of Copenhagen, Blegdamsvej 3B, Copenhagen N 2200, Denmark.,National Institute of Public Health, University of Southern Denmark, Øster Farimagsgade 5 A, Copenhagen, Denmark
| | - Lars Køber
- Department of Cardiology, Rigshospitalet, Blegdamsvej 9, Copenhagen 2100, Denmark
| | - Christian Torp-Pedersen
- Department of Health Science and Technology, Aalborg University, Fredrik Bajers Vej 7D2, Aalborg DK-9220, Denmark
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