DOAJ Open Access 2023

Mathematical modeling of cerebral oxygen transport from capillaries to tissue

Andrey Kovtanyuk Andrey Kovtanyuk Alexander Chebotarev Reneé Lampe

Abstrak

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.

Topik & Kata Kunci

Applied mathematics. Quantitative methods Probabilities. Mathematical statistics

Penulis (4)

Andrey Kovtanyuk

Alexander Chebotarev

Reneé Lampe

Format Sitasi

APA MLA BibTeX

Kovtanyuk, A., Kovtanyuk, A., Chebotarev, A., Lampe, R. (2023). Mathematical modeling of cerebral oxygen transport from capillaries to tissue. https://doi.org/10.3389/fams.2023.1257066

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3389/fams.2023.1257066
Akses: Open Access ✓