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

Possenti, Luca; Gregorio, Simone Di; Casagrande, Giustina; Costantino, M L; Rancati, T.; Zunino, Paolo

doi:10.1080/10255842.2020.1793964

Cited by 7 publications

(10 citation statements)

References 36 publications

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“…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.…”

Section: Discussionsupporting

confidence: 90%

“…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].…”

Section: Discussionmentioning

confidence: 99%

“…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).…”

Section: A Comparative Study On a Realistic Scenariomentioning

confidence: 99%

“…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.…”

Section: A Comparative Study On a Realistic Scenariomentioning

confidence: 99%

“…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 .…”

Section: A Comparative Study On a Realistic Scenariomentioning

confidence: 99%

See 4 more Smart Citations

A Mesoscale Computational Model for Microvascular Oxygen Transfer

et al. 2021

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We address a mathematical model for oxygen transfer in the microcirculation. The model includes blood flow and hematocrit transport coupled with the interstitial flow, oxygen transport in the blood and the tissue, including capillary-tissue exchange effects. Moreover, the model is suited to handle arbitrarily complex vascular geometries. The purpose of this study is the validation of the model with respect to classical solutions and the further demonstration of its adequacy to describe the heterogeneity of oxygenation in the tissue microenvironment. Finally, we discuss the importance of these effects in the treatment of cancer using radiotherapy.

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Section: Discussionsupporting

confidence: 90%

Section: Discussionmentioning

confidence: 99%

Section: A Comparative Study On a Realistic Scenariomentioning

confidence: 99%

Section: A Comparative Study On a Realistic Scenariomentioning

confidence: 99%

Section: A Comparative Study On a Realistic Scenariomentioning

confidence: 99%

See 3 more Smart Citations

A Mesoscale Computational Model for Microvascular Oxygen Transfer

et al. 2021

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Sensitivity analysis of a multi‐physics model for the vascular microenvironment

Vitullo

Cicci

Possenti

et al. 2023

Numer Methods Biomed Eng

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The vascular microenvironment is the scale at which microvascular transport, interstitial tissue properties and cell metabolism interact. The vascular microenvironment has been widely studied by means of quantitative approaches, including multi‐physics mathematical models as it is a central system for the pathophysiology of many diseases, such as cancer. The microvascular architecture is a key factor for fluid balance and mass transfer in the vascular microenvironment, together with the physical parameters characterizing the vascular wall and the interstitial tissue. The scientific literature of this field has witnessed a long debate about which factor of this multifaceted system is the most relevant. The purpose of this work is to combine the interpretative power of an advanced multi‐physics model of the vascular microenvironment with state of the art and robust sensitivity analysis methods, in order to determine the factors that most significantly impact quantities of interest, related in particular to cancer treatment. We are particularly interested in comparing the factors related to the microvascular architecture with the ones affecting the physics of microvascular transport. Ultimately, this work will provide further insight into how the vascular microenvironment affects cancer therapies, such as chemotherapy, radiotherapy or immunotherapy.

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Hybrid-dimensional models for blood flow and mass transport: Sequential and embedded 3D-1D models

Formaggia

Zunino

2022

Modeling of Mass Transport Processes in Biological Media

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

Cited by 7 publications

References 36 publications

A Mesoscale Computational Model for Microvascular Oxygen Transfer

A Mesoscale Computational Model for Microvascular Oxygen Transfer

Sensitivity analysis of a multi‐physics model for the vascular microenvironment

Hybrid-dimensional models for blood flow and mass transport: Sequential and embedded 3D-1D models

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