Numerical analysis of the temperature impact to the oxygen distribution in the biological tissue

• Autorzy: Jasiński Marek

Identyfikatory

DOI

10.17512/jamcm.2020.3.02

• Języki publikacji: EN

Abstrakty

EN

The aim of the study was to analyze changes in tissue oxygen distribution resulting from temperature changes by the use of the Krogh cylinder model with Michaelis-Menten kinetics. A Hill model was also used to describe the oxyhemoglobin dissociation curve. In particular, variable values of parameters of dissociation curve and blood velocity in capillary were considered. Mathematical description was based on two separate equations for radial and axial directions. An additional task related to determination of the temperature, tissue thermal damage and perfusion was also solved. At the stage of numerical realization, the finite difference method was used.

Słowa kluczowe

EN

oxygen transport; Krogh cylinder; oxyhemoglobin dissociation curve; hypoxia; finite difference method

PL

transport tlenu; cylinder Krogha; krzywa dysocjacji oksyhemoglobiny; niedotlenienie; metoda różnic skończonych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 3
• Strony: 17--28
• Opis fizyczny: Bibliogr. 21 poz., rys., tab.

Twórcy

autor

Jasiński Marek

• Department of Computational Mechanics and Engineering Silesian University of Technology Gliwice, Poland

Bibliografia

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• [17] Paruch, M. (2020). Mathematical modeling of breast tumor destruction using fast heating during radiofrequency ablation. Materials, 13, 136.
• [18] Mochnacki, B., & Ciesielski, M. (2016). Sensitivity of transient temperature field in domain of forearm insulated by protective clothing with respect to perturbations of external boundary heat flux. Bulletin of the Polish Academy of Sciences - Technical Sciences, 64, 591-598.
• [19] Mochnacki. B., & Piasecka-Belkhayat. A. (2013). Numerical modeling of skin tissue heating using the interval finite difference method. Molecular & Cellular Biomechanics, 10, 233-244.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).