A global sensitivity analysis approach applied to a multiscale model of microvascular flow

Abstract

Supplementary Figure 1 Solutions of the 3D-1D model for the case with ID = 90. (a) Vessel radius for each vessel of the network. (b) Blood velocity within the vessels and interstitial fluid velocity. (c) Distribution of red blood cells along the vasculature showed by means of the discharge hematocrit Hd. (d) Apparent blood viscosity within the vasculature.

A Mesoscale Computational Model for Microvascular Oxygen Transfer

“…Concerning the oxygen spatial distribution, quantified by IQR O2 and visualized in the partial pressure maps of Figure 5, we see that it negatively correlates with the oxygen median. Although the local oxygen distribution is strongly affected by the vasculature geometry in agreement with previous studies [48], it appears that low oxygen level scenarios exhibit stronger spatial gradients, while a more uniform distribution characterizes scenarios with higher oxygenation.…”

“…Such effects are considered among the most important in this context [44]. Our model also embraces the Zweifach-Fung effect [49,52,56], the influence of microvascular network geometry on the microvascular flow [48], and the effect of the pH and the partial pressure of carbon dioxide on hemoglobin saturation, which are often considered when modeling oxygen transport [5,13,28,33,62].…”

“…The first two are directly proportional due to Henry's law. The third one is connected to the previous through the saturation function, and affected by H. A sensitivity analysis for problem (1) has been addressed in a previoius work [48]. There, the authors quantify the influence of some parameters of Table 1 (precisely L p , σ, δπ, H in among others) on the quantities p v , u v , p t , u t computed by the model (1).…”

“…There, the authors quantify the influence of some parameters of Table 1 (precisely L p , σ, δπ, H in among others) on the quantities p v , u v , p t , u t computed by the model (1). Table 3 of [48] shows that the paramaters that determine the fluid exchange between the blood and the interstitial fluid are among the most relevant. Here, we complement the results of [48] with a much simpler sensitivity study, relative to the parameters that regulate the oxygen transfer from blood to tissue.…”

“…Table 3 of [48] shows that the paramaters that determine the fluid exchange between the blood and the interstitial fluid are among the most relevant. Here, we complement the results of [48] with a much simpler sensitivity study, relative to the parameters that regulate the oxygen transfer from blood to tissue. We identify a parameter space made of two entries: (i) the inlet hematocrit H in that determines the inlet boundary conditions of (3) (see [49] for more details) and (ii) the oxygen consumption rate in the tissue V max .…”