Mathematical modeling of cerebral oxygen transport from capillaries to tissue

Andrey Kovtanyuk; Alexander Chebotarev; Reneé Lampe

doi:10.3389/fams.2023.1257066

Mathematical modeling of cerebral oxygen transport from capillaries to tissue

Andrey Kovtanyuk
, Alexander Chebotarev
, Reneé Lampe

Associate Professorship of Paediatric Neuroorthopaedics, Main Research: Cerebral Palsy

Technical University of Munich
Institute of Applied Mathematics FEB RAS

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A non-linear model of oxygen transport from a capillary to tissue is considered. The model takes into account the convection of oxygen in the blood, its diffusion transfer through the capillary wall, and the diffusion and consumption of oxygen in tissue. In the current work, a boundary value problem for the oxygen transport model is studied. The existence theorem is proved and a numerical algorithm is constructed and implemented. The numerical experiments studying the effect of low hematocrit and reduced blood flow rate on cerebral hypoxia in preterm infants are conducted.

Original language	English
Article number	1257066
Journal	Frontiers in Applied Mathematics and Statistics
Volume	9
DOIs	https://doi.org/10.3389/fams.2023.1257066
State	Published - 2023

Keywords

cerebral oxygen transport
existence theorem
hypoxia
iterative algorithm
non-linear boundary value problem

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10.3389/fams.2023.1257066

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title = "Mathematical modeling of cerebral oxygen transport from capillaries to tissue",

abstract = "A non-linear model of oxygen transport from a capillary to tissue is considered. The model takes into account the convection of oxygen in the blood, its diffusion transfer through the capillary wall, and the diffusion and consumption of oxygen in tissue. In the current work, a boundary value problem for the oxygen transport model is studied. The existence theorem is proved and a numerical algorithm is constructed and implemented. The numerical experiments studying the effect of low hematocrit and reduced blood flow rate on cerebral hypoxia in preterm infants are conducted.",

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AU - Kovtanyuk, Andrey

AU - Chebotarev, Alexander

AU - Lampe, Reneé

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Y1 - 2023

N2 - A non-linear model of oxygen transport from a capillary to tissue is considered. The model takes into account the convection of oxygen in the blood, its diffusion transfer through the capillary wall, and the diffusion and consumption of oxygen in tissue. In the current work, a boundary value problem for the oxygen transport model is studied. The existence theorem is proved and a numerical algorithm is constructed and implemented. The numerical experiments studying the effect of low hematocrit and reduced blood flow rate on cerebral hypoxia in preterm infants are conducted.

AB - A non-linear model of oxygen transport from a capillary to tissue is considered. The model takes into account the convection of oxygen in the blood, its diffusion transfer through the capillary wall, and the diffusion and consumption of oxygen in tissue. In the current work, a boundary value problem for the oxygen transport model is studied. The existence theorem is proved and a numerical algorithm is constructed and implemented. The numerical experiments studying the effect of low hematocrit and reduced blood flow rate on cerebral hypoxia in preterm infants are conducted.

KW - cerebral oxygen transport

KW - existence theorem

KW - hypoxia

KW - iterative algorithm

KW - non-linear boundary value problem

UR - https://www.scopus.com/pages/publications/85178896883

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DO - 10.3389/fams.2023.1257066

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JO - Frontiers in Applied Mathematics and Statistics

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M1 - 1257066

ER -

Mathematical modeling of cerebral oxygen transport from capillaries to tissue

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Keywords

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