A non-homogeneous constitutive model for human blood

Moyers-González, Miguel; Owens, Robert G.; Fang, Jiannong

doi:10.1016/j.jnnfm.2008.04.001

Cited by 45 publications

(9 citation statements)

References 29 publications

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“…Although scarcer, viscoelastic models are necessary for more complete descriptions of blood rheology, and often some of its parameters are dependent on the evolution of structures formed by the erythrocytes. 2,[5][6][7]57 Here, the viscoelastic moduli and the steady viscosity data were fitted using two viscoelastic multi-mode differential constitutive equations: the simplified Phan-Thien-Tanner (sPTT) and Giesekus models 58,59 with a Newtonian solvent contribution of viscosity g s , but without the use of structure-dependent parameters. These two multi-mode models can be compactly written as…”

Section: A Viscoelastic Properties Of Bloodmentioning

confidence: 99%

“…These non-Newtonian properties of blood have long been recognized, measured, and modelled. [4][5][6][7] The non-Newtonian behavior of blood, which affects its flow in both large, but mostly in small vessels characteristic of the microcirculation, is closely related to incident cardiovascular events like ischaemic heart disease and stroke. [8][9][10] Therefore, a fundamental understanding of the detailed fluid dynamics of blood flow and of the distribution of the wall shear stress in small vessels is essential to help detect cardiovascular diseases and to develop preventive measures and design suitable treatments.…”

Section: Introductionmentioning

confidence: 99%

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Viscoelasticity of blood and viscoelastic blood analogues for use in polydymethylsiloxane in vitro models of the circulatory system

et al. 2013

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The non-Newtonian properties of blood are of great importance since they are closely related with incident cardiovascular diseases. A good understanding of the hemodynamics through the main vessels of the human circulatory system is thus fundamental in the detection and especially in the treatment of these diseases. Very often such studies take place in vitro for convenience and better flow control and these generally require blood analogue solutions that not only adequately mimic the viscoelastic properties of blood but also minimize undesirable optical distortions arising from vessel curvature that could interfere in flow visualizations or particle image velocimetry measurements. In this work, we present the viscoelastic moduli of whole human blood obtained by means of passive microrheology experiments. These results and existing shear and extensional rheological data for whole human blood in the literature enabled us to develop solutions with rheological behavior analogous to real whole blood and with a refractive index suited for PDMS (polydymethylsiloxane) micro-and milli-channels. In addition, these blood analogues can be modified in order to obtain a larger range of refractive indices from 1.38 to 1.43 to match the refractive index of several materials other than PDMS. V C 2013 AIP Publishing LLC.

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Section: A Viscoelastic Properties Of Bloodmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Viscoelasticity of blood and viscoelastic blood analogues for use in polydymethylsiloxane in vitro models of the circulatory system

et al. 2013

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“…In the literature, one can find different models of blood viscosity applicable to different conditions and areas of the circulatory system, such as Carreau, Carreau‐Yasuda, Casson, Power‐law, Generalized Power‐law, K‐L or Cross model or more complicated such as memory‐based model for blood viscosity , thixotropic elasto‐visco‐plastic model or population balance‐based thixotropic model 16–25 described in detail in the previous work 15 . Another approach was presented in the works of Owens, and Moyers‐Gonzalez et al 26–29 related to the use of the population balance comprehensively to model blood rheology. These models are highly specialized, reflecting the intricate structure of blood.…”

Section: Introductionmentioning

confidence: 99%

Hemolysis of red blood cells in blood vessels modeled via computational fluid dynamics

Jędrzejczak

Makowski

Orciuch

et al. 2023

Numer Methods Biomed Eng

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The research aims to verify the universal relationship between vessel shape and the risk of hemolysis using a rheological model of blood reflecting the physiological processes related to blood for any blood vessel. Blood is a multi‐component fluid, the rheology of which depends on many factors, such as the concentration of red blood cells and local shear stress, which significantly affect the process of hemolysis. Blood rheology models used so far cannot be used for all flows and geometries. Therefore, a new rheology model has been introduced suitable for modeling hemolytic flows observed in arteries with atherosclerotic lesions in the in vivo environment. The previously presented model also has advantages in modeling local viscosity in stenosis. Geometries of the blood vessels from computed tomography scans and simplified models of the actual arteries observed during medical procedures were used in the calculations. Population Balance Based Rheology model predicts the concentration of single, deagglomerated red blood cells and the concentration and size of red blood cell agglomerates, which affect blood rheology and hemolysis. Based on the simulations carried out, a correlation was found between the shape of the vessel cavity and the risk of hemolysis. Presented results can be used in the future to create a correlation between the shape of the atherosclerotic lesions and the risk of hemolysis in the blood to make an initial risk assessment for a given patient.

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“…Therefore, the focus has been shifting towards constitutive equations that incorporate plasticity, elasticity and thixotropy. The model of Owens and coworkers [50], which has been recently revised [51][52][53], was derived using ideas drawn from polymer network theory accounting for the agglomeration and deagglomeration of erythrocytes in healthy human blood at different shear rates. Although this model was subsequently applied to simple shear flows as well as to steady, oscillatory, and pulsatile flow in rigid vessels [54], it lacks explicit accounting for yield stress, the most important manifestation of the viscoplastic nature of blood.…”

Section: Introductionmentioning

confidence: 99%

Advanced Constitutive Modeling of the Thixotropic Elasto-Visco-Plastic Behavior of Blood: Description of the Model and Rheological Predictions

et al. 2020

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This work focuses on the advanced modeling of the thixotropic nature of blood, coupled with an elasto-visco-plastic formulation by invoking a consistent and validated model for TEVP materials. The proposed model has been verified for the adequate description of the rheological behavior of suspensions, introducing a scalar variable that describes dynamically the level of internal microstructure of rouleaux at any instance, capturing accurately the aggregation and disaggregation mechanisms of the RBCs. Also, a non-linear fitting is adopted for the definition of the model’s parameters on limited available experimental data of steady and transient rheometric flows of blood samples. We present the predictability of the new model in various steady and transient rheometric flows, including startup shear, rectangular shear steps, shear cessation, triangular shear steps and LAOS tests. Our model provides predictions for the elasto-thixotropic mechanism in startup shear flows, demonstrating a non-monotonic relationship of the thixotropic index on the shear-rate. The intermittent shear step test reveals the dynamics of the structural reconstruction, which in turn is associated with the aggregation process. Moreover, our model offers robust predictions for less examined tests such as uniaxial elongation, in which normal stress was found to have considerable contribution. Apart from the integrated modeling of blood rheological complexity, our implementation is adequate for multi-dimensional simulations due to its tensorial formalism accomplished with a single time scale for the thixotropic effects, resulting in a low computational cost compared to other TEVP models.

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A non-homogeneous constitutive model for human blood

Cited by 45 publications

References 29 publications

Viscoelasticity of blood and viscoelastic blood analogues for use in polydymethylsiloxane in vitro models of the circulatory system

Viscoelasticity of blood and viscoelastic blood analogues for use in polydymethylsiloxane in vitro models of the circulatory system

Hemolysis of red blood cells in blood vessels modeled via computational fluid dynamics

Advanced Constitutive Modeling of the Thixotropic Elasto-Visco-Plastic Behavior of Blood: Description of the Model and Rheological Predictions

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