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Numerical analysis of thermal damage and oxygen distribution in laser irradiated tissue

Jasiński Marek

Journal of Applied Mathematics and Computational Mechanics

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2022

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Vol. 21, nr 2

51--62

EN

A numerical analysis of the thermal damage process that proceeds in biological tissue during laser irradiation is presented. Heat transfer in the tissue is assumed to be transient and two-dimensional. The internal heat source resulting from the laser irradiation based on the solution of optical diffusion equation is taken into account. Changes in tissue oxygen distribution resulting from temperature changes are analyzed using the Krogh cylinder model with Michaelis-Menten kinetics. A Hill model was used to describe the oxyhemoglobin dissociation curve. At the stage of numerical realization, the boundary element method and the finite difference method have been applied.

2

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

Jasiński Marek

Journal of Applied Mathematics and Computational Mechanics

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2020

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Vol. 19, nr 3

17--28

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.

3

Rola inżynierii chemicznej i procesowej w rozwiązywaniu wybranych problemów fizjologii

Gradoń L.

Inżynieria Chemiczna i Procesowa

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2001

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T. 22, z. 3A

49--53

PL

Narzędzia charakterystyczne dla inżynierii chemicznej w podejściu do modelowania złożonych zjawisk przyrody, zostały wykorzystane dla modelowania procesów transportowych w płucach. Przedstawiono mechanikę oddychania, strukturę przepływu powietrza w układzie oddechowym oraz depozycję cząstek aerozolowych, celem oceny skuteczności dostarczania leku inhalacyjnego. Omówiono również mechanizmy obronne układu oddechowego (usuwanie depozytów z układu oddechowego) oraz przedstawiono ilościowy opis procesu. W końcowej części pracy opisano proces transportu tlenu z zewnętrznej atmosfery do układu krwionośnego.

EN

The tools characteristic for chemical engineering approach for modelling of complex phenomena of nature, were used for analysis of transport processes in the human lungs. Mechanics of breathing, air flow structure in the respiratory system and aerosol particle deposition for drug delivery via inhalation is presented. The defence mechanism for removal of deposits from the respiratory system and their quantitative analysis is formulated. Finally, transport of oxygen from the external atmosphere into the blood system is described.