Comparison of three rheological models of shear flow behavior studied on blood samples from post-infarction patients

Abstract

Quantitative analysis of blood viscosity was performed on the basis of mathematical models of non-Newtonian fluid shear flow behavior (Casson, Ree-Eyring and Quemada). A total of 100 blood samples were drawn from clinically stable survivors of myocardial infarction, treated with aspirin or acenocoumarol and controls to these drugs. Whole blood and plasma viscosity were measured at a broad range of shear rates using a rotary-oscillating viscometer Contraves LS40. Numerical analysis of the experimental data was carried out by means of linear (for Casson) and non-linear regression for the remaining models. In the evaluation of the results, both the fit quality and physical interpretation of the models' parameters were considered. The Quemada model fitted most precisely with the experimental findings and, despite the controversies concerning the relationship between in vivo tissue perfusion and in vitro rheological measurements, seemed to be a valuable method enhancing investigation possibilities of cardiovascular patients. Our results suggest that aspirin does not affect blood rheological properties, while acenocoumarol may slightly alter red cell deformability and rouleaux formation.

Non-Newtonian Flow of Structured Systems. XIX. Blood Flow

“…В то же время явно выраженная «прямая Кэссона» при высоких скоростях не позволяет от-дать предпочтение уравнению Сирса или более точным, но более громоздким уравнениям, полу-ченным Ри и Эйрингом [6] или Квемадой [7]. В ра-боте [8] проводится сравнение этих моделей с уравнением Кэссона.…”

Effects of stent-graft geometry and blood hematocrit on hemodynamic in Abdominal Aortic Aneurysm

“…Parameters, k 0 , k ∞ (Table 1) , describing inner viscosity of erythrocytes, were chosen for neutral and infinity shear velocity respectively (Marcinkowska-Gapińska et al, 2007).…”

Segregation of Flowing Blood: Mathematical Description

“…The shear rate is assumed to be proportional to the difference between jump frequencies along and counter flow and the height of the energy barrier in these directions to be dependent on the shear stress [94]. Two kinds of rearrangement processes are introduced for erythrocytes; namely, the slow aggregation with the characteristic time t 1 and rapid deformation/reorientation with the characteristic time t 2 [95]. These two processes determine blood viscosity at low and high shear rates, respectively.…”