Newtonian and Non-Newtonian Blood Flow at a 90∘-Bifurcation of the Cerebral Artery: A Comparative Study of Fluid Viscosity Models

Фролов, С. В.; Sindeev, S. V.; Liepsch, D.; Balasso, A.; Arnold, Philipp; Kirschke, Jan S.; Prothmann, Sascha; Potlov, A. Yu.

doi:10.1142/s0219519418500434

Cited by 18 publications

(10 citation statements)

References 42 publications

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“…Viscosity measurements in fluids, such as blood, need to be assessed in different scenarios due to its behaviour as a non-Newtonian fluid 4,5 . Therefore, the study of Kim, Cho, Lee, Park, Moon, Hur, Kim and Yun 16 proposed the use of differential measurements to calculate the BV level using 1 and 300 sec −1 as share rate through a scanning capillary tube viscometer.…”

Section: Methodsmentioning

confidence: 99%

“…These inconsistent results could also be due to the physics and dynamics of blood as a fluid; the blood is composed of several heterogeneous components, such as red blood cells, platelets, proteins, etc., which means that its behaviour as a fluid does not obey Newtonian laws. 4,5 . At different tensions, the BV will change; therefore, during systole or diastole or when passing through a large vessel or capillary, the BV level varies, which makes it different from other haematological parameters that are usually stable.…”

Section: Introductionmentioning

confidence: 99%

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Does blood viscosity affect cerebral blood flow? A study in a population living in a high-altitude city

Huamaní

Bayona-Pancorbo²,

Sarmiento

et al. 2023

Preprint

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Background: Viscosity affects flows by increasing resistance to movement; therefore, variations in blood viscosity (BV) levels could modify the cerebral blood flow. Objective: This study aimed to determine the level of correlation between BV and cerebral blood flow in people acclimated to chronic hypoxia who have high BV levels. Methods: Prospective observational study was conducted among clinically healthy young adults living in the city of Cusco (3,399 m above sea level). All participants were examined at low and high shear rates (75 and 300 sec1) to simulate the dynamic component of BV. A transcranial Doppler study of the middle cerebral artery was performed to measure systolic, diastolic, and mean flow velocities (FVs) and resistance and pulsatility indices (PIs). Results: A total of 131 participants were included. The median viscosity levels were 5.01cP [interquartile range (IQR): 4.45, 5.73cP] at 300 sec1 and 6.16 cP [IQR: 5.58, 7.20 cP] at 75 sec1, the mean FV was 57 m/s [IQR: 50, 65 m/s5], and the PI was 0.91 [0.86, 1.02]. BV was negatively correlated with mean FV (r: -0.17, p=0.007), while it showed no correlation with other values of blood flow, resistance, or PI. Conclusions: Changes in BV levels have a minimal impact on the mean FV but not on other parameters. This finding suggests that in young and clinically healthy individuals, there are autoregulation mechanisms that compensate for BV variations, although they are not completely understood.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Does blood viscosity affect cerebral blood flow? A study in a population living in a high-altitude city

Huamaní

Bayona-Pancorbo²,

Sarmiento

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Table 2 provides a summary for the corresponding mean velocity at different Reynolds number for the Newtonian and non-Newtonian viscosity models. Many previous studies might not have used the correct way to calculate the Reynolds number for non-Newtonian fluid such as [45,46].…”

Section: =mentioning

confidence: 99%

Investigation of Newtonian and Power-Law Blood Flow Models in a 180° Curved Pipe at Low to Medium Shear Rate

Mahrous¹,

Sidik²,

Saqr³

2020

ARFMTS

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The purpose of this brief paper is to obtain quantitative information on mean velocity profile in ideal vasculature (i.e. straight and toroidal pipes) at low to medium shear rates. To shed the light on the significance of considering blood shear-thinning properties, the power-law model is compared to the commonly used Newtonian viscosity hypothesis. Validated CFD models of blood flow were established and parameterized to solve steady incompressible blood flow under Reynolds number of 50~200. The calculations of the Reynolds number and boundary conditions adopted the shear-thinning index of the power-law models to provide physically correct benchmark for the comparison presented herein. Velocity profiles for Newtonian and non-Newtonian fluid flow are described and sketched. Shear rate values had a range of 20~200 s-1 which represents the physiological range found in cerebral vasculature. This study provides the means to estimate the effect of the non-Newtonian properties of the blood on the flow patterns. It is clearly shown that the difference between Newtonian and power-law blood flow models is not significantly affected by Reynolds number for the current range of shear rate. The differences identified in the pressuredrop per unit length and average wall-shear stress were found to be of significant values. The difference between the Newtonian and power-law model (case1) in the pressure drop per unit length for the straight pipe was 386 while for the curved pipe was 371. These differences increased to 538 at Re=200 for the straight pipe and reached 603 for the curved pipe. This research suggests that the non-Newtonian effects of cerebral blood flow should be considered in the respective CFD models.

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“…To clarify whether the assumption of a constant viscosity is valid for the continuity approach, several experimental and numerical investigations were conducted. While some groups argue that significant differences between both assumptions exist, 22,25 others demonstrated that the non-Newtonian effects are negligible or have just a secondary impact. 42,48…”

Section: Blood Treatmentmentioning

confidence: 99%

A review on the reliability of hemodynamic modeling in intracranial aneurysms: why computational fluid dynamics alone cannot solve the equation

Berg

Saalfeld²,

Voß

et al. 2019

Neurosurgical Focus

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Computational blood flow modeling in intracranial aneurysms (IAs) has enormous potential for the assessment of highly resolved hemodynamics and derived wall stresses. This results in an improved knowledge in important research fields, such as rupture risk assessment and treatment optimization. However, due to the requirement of assumptions and simplifications, its applicability in a clinical context remains limited.This review article focuses on the main aspects along the interdisciplinary modeling chain and highlights the circumstance that computational fluid dynamics (CFD) simulations are embedded in a multiprocess workflow. These aspects include imaging-related steps, the setup of realistic hemodynamic simulations, and the analysis of multidimensional computational results. To condense the broad knowledge, specific recommendations are provided at the end of each subsection.Overall, various individual substudies exist in the literature that have evaluated relevant technical aspects. In this regard, the importance of precise vessel segmentations for the simulation outcome is emphasized. Furthermore, the accuracy of the computational model strongly depends on the specific research question. Additionally, standardization in the context of flow analysis is required to enable an objective comparison of research findings and to avoid confusion within the medical community. Finally, uncertainty quantification and validation studies should always accompany numerical investigations.In conclusion, this review aims for an improved awareness among physicians regarding potential sources of error in hemodynamic modeling for IAs. Although CFD is a powerful methodology, it cannot provide reliable information, if pre- and postsimulation steps are inaccurately carried out. From this, future studies can be critically evaluated and real benefits can be differentiated from results that have been acquired based on technically inaccurate procedures.

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Newtonian and Non-Newtonian Blood Flow at a 90∘-Bifurcation of the Cerebral Artery: A Comparative Study of Fluid Viscosity Models

Cited by 18 publications

References 42 publications

Does blood viscosity affect cerebral blood flow? A study in a population living in a high-altitude city

Does blood viscosity affect cerebral blood flow? A study in a population living in a high-altitude city

Investigation of Newtonian and Power-Law Blood Flow Models in a 180° Curved Pipe at Low to Medium Shear Rate

A review on the reliability of hemodynamic modeling in intracranial aneurysms: why computational fluid dynamics alone cannot solve the equation

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