Measurements of human blood viscoelasticity and thixotropy under steady and transient shear and constitutive modeling thereof

Horner, Jeffrey S.; Armstrong, Matthew; Wagner, Norman J.; Beris, Antony N.

doi:10.1122/1.5108737

Cited by 55 publications

(65 citation statements)

References 39 publications

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“…However, it was mainly aimed at the study of the difference in blood viscosity of a particular disease, which had certain limitations and did not have a strong correspondence with clinical blood viscosity value. In 2019, Horner et al improved the Horner-Armstrong-Wagner-Beris (HAWB) model and increased the viscoelastic equation of red blood cells in the blood to simulate transient hemorheology [ 28 ]. Although it had potential application value, the calculation was complicated and it was not easy for individual monitoring.…”

Section: Discussionmentioning

confidence: 99%

An Algorithm for the Noninvasive and Personalized Measurement of Microvascular Blood Viscosity Using Physiological Parameters

Sun

Yang

Wang

et al. 2020

BioMed Research International

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Blood viscosity is one of the important parameters to characterize hemorheological properties of the human body. Its real-time and dynamic measurement has important physiological significance for studying the development and prevention of chronic diseases. This study researched noninvasive and personalized measurement of microvascular blood viscosity. In the microcirculation capillary network blood flow model, combined with pulse wave parameters, multiple regression analysis was used to fit the simulated radius of personalized physiological blood vessels to calculate the microvascular blood viscosity. The fitted value related to the simulated radius of the physiological blood vessel had a high correlation with the corresponding theoretically derived value (correlation coefficient: 0.904, P≤0.001). The calculated value of the microvascular blood viscosity had a certain correlation with the clinical whole blood viscosity at a low shear rate (correlation coefficient: 0.443, P<0.05). This algorithm could provide effective means for noninvasive and long-term individual monitoring and family health care.

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Section: Discussionmentioning

confidence: 99%

An Algorithm for the Noninvasive and Personalized Measurement of Microvascular Blood Viscosity Using Physiological Parameters

Sun

Yang

Wang

et al. 2020

BioMed Research International

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“…Following the studies of Dimitriou and McKinley [ 60 ], Fraggedakis et al [ 65 ], Stickel et al [ 66 ], Dimitriou et al [ 67 ], Clarion et al [ 68 ] and Horner et al [ 49 ], we assume that the total rate of deformation tensor:

is composed of an elastic contribution

and a viscoplastic one denoted by

so that:

…”

Section: Constitutive Modellingmentioning

confidence: 99%

“… Parameters Units Values

0.0033

0.00389 It is worth mentioning the capability of our model against other generalized Newtonian or non-Newtonian models regarding their characteristics. There are many investigations that used generalized Newtonian models [ 7 , 101 , 105 ], mostly accounting for the shear-thinning response, but only a few have used the TEVP model [ 49 , 59 ]. For the first time, we present a tensorial constitutive model that accounts for blood viscoplasticity at stasis, thixotropy, shear thinning for the whole range of shear rates, extensional and shear viscoelasticity, viscous dissipation and viscoelastic matrix contribution in a fully coupled manner.…”

Section: Table A1mentioning

confidence: 99%

“…Here, we invoke the experimental work of McMillan et al [47], who performed steady-state shear and rectangular shear-step tests which are capable to probe the elasto-thixotropic response of blood making our model robust and reliable. More recently, Armstrong et al [48] and Horner et al [49] conducted experiments in steady and transient rheometric flows. Except for the triangular step (hysteresis) experiments, the application of the oscillatory flow is commonly employed to probe the complex properties of blood.…”

Section: Introductionmentioning

confidence: 99%

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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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“…[15]). For other flow, shear stress can be solely modeled in a constitutive equation by assuming indenpendency of other components of the extra stress tensor [16]. In 3D modeling, a constitutive equation considers the coupling contributed by components other than the shear components (yx-and xy-) of the extra stress tensor.…”

Section: Introductionmentioning

confidence: 99%

Normal Stress Differences of Human Blood in Unidirectional Large-Amplitude Oscillatory Shear Flow

Saengow

Giacomin

Dimitrov

2020

Journal of Fluids Engineering

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This work analyzes normal stress difference responses in blood tested in unidirectional large-amplitude oscillatory shear flow (udLAOS), a novel rheological test, designed for human blood. udLAOS mimics the pulsatile flow in veins and arteries, in the sense that it never reverses, and yet also nearly stops once per heartbeat. As for our continuum fluid model, we choose the Oldroyd 8-constant framework for its rich diversity of popular constitutive equations, including the corotational Jeffreys fluid. This work arrives at exact solutions for normal stress differences from the corotational Jeffreys fluid in udLAOS. More generally, predictions from the Oldroyd 8-constant framework are explored by means of the finite difference method. Finally, the generalized versions of both the Oldroyd 8-constant framework and the corotational Jeffreys fluid are employed to predict the nonlinear normal stress responses the model parameters fitted to udLAOS measurements from three very different donors, all healthy. From our predictions, we are led to expect less variation in normal stress differences in udLAOS from healthy donor to donor, than for the corresponding measured shear stress responses.

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Measurements of human blood viscoelasticity and thixotropy under steady and transient shear and constitutive modeling thereof

Cited by 55 publications

References 39 publications

An Algorithm for the Noninvasive and Personalized Measurement of Microvascular Blood Viscosity Using Physiological Parameters

An Algorithm for the Noninvasive and Personalized Measurement of Microvascular Blood Viscosity Using Physiological Parameters

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

Normal Stress Differences of Human Blood in Unidirectional Large-Amplitude Oscillatory Shear Flow

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