Abstract
Purpose
Pediatric and adult patients with sickle cell anemia (SCA) are at increased risk of stroke and cerebrovascular accident. In the general adult population, there is a relationship between arterial hemodynamics and pathology; however, this relationship in SCA patients remains to be elucidated. The aim of this work was to characterize circle of Willis hemodynamics in patients with SCA and quantify the impact of viscosity choice on pathophysiologically-relevant hemodynamics measures.
Methods
Based on measured vascular geometries, time-varying flow rates, and blood parameters, detailed patient-specific simulations of the circle of Willis were conducted for SCA patients (n = 6). Simulations quantified the impact of patient-specific and standard blood viscosities on wall shear stress (WSS).
Results
These results demonstrated that use of a standard blood viscosity introduces large errors into the estimation of pathophysiologically-relevant hemodynamic parameters. Standard viscosity models overpredicted peak WSS by 55% and 49% for steady and pulsatile flow, respectively. Moreover, these results demonstrated non-uniform, spatial patterns of positive and negative WSS errors related to viscosity, and standard viscosity simulations overpredicted the time-averaged WSS by 32% (standard deviation = 7.1%). Finally, differences in shear rate demonstrated that the viscosity choice alters the simulated near-wall flow field, impacting hemodynamics measures.
Conclusions
This work presents simulations of circle of Willis arterial flow in SCA patients and demonstrates the importance and feasibility of using a patient-specific viscosity in these simulations. Accurately characterizing cerebrovascular hemodynamics in SCA populations has potential for elucidating the pathophysiology of large-vessel occlusion, aneurysms, and tissue damage in these patients.
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Abbreviations
- ACA:
-
Anterior cerebral artery
- BAS:
-
Basilar artery
- CFD:
-
Computational fluid dynamics
- CVA:
-
Cerebrovascular accident
- HbSS:
-
Homozygous sickle cell anemia
- Hgb S/A:
-
Hemoglobin S or A
- ICA:
-
Internal carotid artery
- ICAM:
-
Intercellular adhesion molecule
- MCA:
-
Middle cerebral artery
- MR(I):
-
Magnetic resonance (imaging)
- OSI:
-
Oscillatory shear index
- \(\overline{{{\text{OSI}}_{{{\text{P}}/{\text{S}}}} }}\) :
-
Spatially-averaged oscillatory shear index simulated using either patient-specific (P) or standard (S) viscosity
- PC-MRI:
-
Phase contrast-MRI
- PCA:
-
Posterior cerebral artery
- SCA:
-
Sickle cell anemia
- SD:
-
Standard deviation
- TNF-α:
-
Tumor necrosis factor-α
- VCAM:
-
Vascular cell adhesion molecule
- WSS:
-
Wall shear stress
- \({\text{WSS}}_{\text{Max}}\) :
-
Maximum wall shear stress value for steady flow or the maximum time-averaged wall shear stress value for pulsatile simulations
- \(\overline{{{\text{WSS}}_{\text{P/S}} }}\) :
-
Spatially-averaged wall shear stress simulated using either patient-specific (P) or standard (S) viscosity under steady flow conditions
- \(\overline{{{\text{WSS}}_{\text{Mean,P/S}} }}\) :
-
Time- and spatially-averaged wall shear stress using either patient-specific (P) or standard (S) viscosity under pulsatile flow conditions
- WSSMean :
-
Time-averaged value of WSS from pulsatile flow simulations
- \({\text{\% WSS}}_{\text{DIF}}\) :
-
The percent difference of time-averaged WSSMean between simulations using patient-specific viscosity and standard viscosity values
- µ P :
-
Patient-specific viscosity value estimated from clinical hematocrit measurements (kg/m-s)
- µ S :
-
Standard blood viscosity typically used for hemodynamics simulations (0.00368 kg/m-s)
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Acknowledgments
This work was supported by grants from the American Heart Association (10POST3450046), the National Institutes of Health (5T32 EB001628-07), and the National Center for Advancing Translational Sciences Vanderbilt CTSA award (UL1 TR002243). We are grateful to the Vanderbilt University Institute of Imaging Science (VUIIS) and the Human Imaging Core for providing imaging research resources used in this study.
Funding
American Heart Association (10POST3450046); National Institutes of Health (5T32 EB001628-07); and the National Center for Advancing Translational Sciences Vanderbilt CTSA award (UL1 TR002243).
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Keller, S.B., Bumpus, J.M., Gatenby, J.C. et al. Characterizing Intracranial Hemodynamics in Sickle Cell Anemia: Impact of Patient-Specific Viscosity. Cardiovasc Eng Tech 13, 104–119 (2022). https://doi.org/10.1007/s13239-021-00559-2
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DOI: https://doi.org/10.1007/s13239-021-00559-2