Constitutive Equation of Blood: A Mesomechanical Model

Abstract

The general author's mesomechanical concept is applied to constitutive modeling of rheological behavior of human blood. The thermomechanical properties of blood are very complicated and their mathematical modeling — although studied for many years — deserves still attention, as phenomenological descriptions do not seem to achieve the due generality and accuracy. Our mesomechanical approach is rooted within the mesoscale description of the substructure of erythrocyte aggregates and their changes in the course of different time-dependent loading paths. Good agreement of the outcomes of our model with experimental findings received under complicated conditions corroborates the usefulness of this approach.

An Improved Model for Reduced-Order Physiological Fluid Flows

“…Wide range of the proposed models may be classified by their dimensionality. As far as those models are concerned, depending on the phenomena to be studied, numerous degrees of simplifications can be considered going from fully 3D fluid-structure interaction models [9][10][11] to the simplified reducedorder models [12][13][14] , and from complex non-Newtonian fluid models [15][16][17][18][19][20] to idealized Newtonian fluid models [21][22][23] .…”