Comparison of blood rheological models in patient specific cardiovascular system simulations

Skiadopoulos, Anastasios; Neofytou, Panagiotis; Housiadas, Christos

doi:10.1016/s1001-6058(16)60739-4

Cited by 32 publications

(12 citation statements)

References 21 publications

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“…The expressions for µ(I 2 ) for the models, widely-used for the blood, are presented in Table 1. The value of parameter µ for the Newtonian model can be taken from [16,18,21,28]; values of n and k for the Power Law model can be taken from [23,46,47]; values of µ 0 , µ ∞ , λ and n for the Carreau model can be taken from [9,[16][17][18][19][20][21][22][23][24]48]; values of µ 0 , µ ∞ , λ, n and a for the Carreau-Yasuda model can be taken from [9,16,23,33]; values of µ 0 , µ ∞ , λ and m for the Cross model can be taken from [9,16,17,20,35]; values of µ 0 , µ ∞ and λ for the Simplified Cross model can be taken from [9]; values of µ 0 , µ ∞ , λ, m and a for the Modified Cross model can be taken from [9]; values of µ 0 , µ ∞ and λ for the Yeleswarapu model can be taken from [16,38]; the dependence of these parameters on hematocrit H for the Modified Yeleswarapu model are presented in [21] and values of µ, k 0 , k ∞ and γc for the Quemada model are presented in [16,20,49].…”

Section: Non-newtonian Models Of Blood Flowmentioning

confidence: 99%

Comparison of Non-Newtonian Models of One-Dimensional Hemodynamics

Krivovichev

2021

Mathematics

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The paper is devoted to the comparison of different one-dimensional models of blood flow. In such models, the non-Newtonian property of blood is considered. It is demonstrated that for the large arteries, the small parameter is observed in the models, and the perturbation method can be used for the analytical solution. In the paper, the simplified nonlinear problem for the semi-infinite vessel with constant properties is solved analytically, and the solutions for different models are compared. The effects of the flattening of the velocity profile and hematocrit value on the deviation from the Newtonian model are investigated.

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Section: Non-newtonian Models Of Blood Flowmentioning

confidence: 99%

Comparison of Non-Newtonian Models of One-Dimensional Hemodynamics

Krivovichev

2021

Mathematics

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“…where D = 1 2 (∇u + ∇u T ), u is the velocity vector. For the Newtonian fluid the viscosity model reads (for more details see [3], [16])…”

Section: Mathematical Modelmentioning

confidence: 99%

Numerical simulation of generalized Newtonian fluids flow in bypass geometry

Keslerová¹,

Řezníček²,

Padelek³

2019

Programs and Algorithms of Numerical Mathematics 19

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“…In general, fluid viscosity models that represent shear rates and apparent viscosities of various fluids include blood are Newton's model, power law model, Curry-type model, Carreau–Yasuda model, bi-exponential function models, Casson model and Herschel-Bulkley (HB) model [ 12 ]. Among these, the Casson or HB models are considered for correlation to human blood flow characteristics [ 13 , 14 ]. However, measurements show that a region exists where the model equation does not sufficiently correspond to the actual blood viscosity in the specific shear rate region with respect to the blood flow characteristics.…”

Section: Introductionmentioning

confidence: 99%

Measurement of human blood viscosity a using Falling Needle Rheometer and the correlation to the Modified Herschel-Bulkley model equation

Yamamoto

Yabuta

Negi

et al. 2020

Heliyon

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We measured the blood viscosity of 25 male and 25 female healthy people (total 50) using a compact-sized falling needle viscometer (Falling Needle Rheometer) capable of highly accurate measurements. Based on the analysis of the flow characteristics, most of the blood specific non-Newtonian fluid (Casson fluid) behavior was confirmed. Additionally, the blood from males has a higher apparent viscosity and Casson yield value than that from women. Furthermore, a new Herschel-Bulkley type model equation representing the relationship between the shear rate and apparent viscosity of human blood was proposed based on the measured blood flow characteristics. The proposed model improved the exponential term on the shear rate and added the constant term on the yield stress so that the measured value can be correlated with a high accuracy. Using the proposed model equation, the correlation accuracy of all of the measured human blood viscosities was better than in the Herschel-Bulkley model equation and Casson model in a wide range of shear rate regions. By incorporating numerical flow analysis (computational fluid dynamics), this model equation may contribute to analyses considering the non-Newtonian fluidity of human blood.

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Comparison of blood rheological models in patient specific cardiovascular system simulations

Cited by 32 publications

References 21 publications

Comparison of Non-Newtonian Models of One-Dimensional Hemodynamics

Comparison of Non-Newtonian Models of One-Dimensional Hemodynamics

Numerical simulation of generalized Newtonian fluids flow in bypass geometry

Measurement of human blood viscosity a using Falling Needle Rheometer and the correlation to the Modified Herschel-Bulkley model equation

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