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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

Modelling of biological tissue damage process with application of interval arithmetic

Korczak Anna, Jasiński Marek

Journal of Theoretical and Applied Mechanics

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2019

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Vol. 57 nr 1

249--261

EN

In the paper, the numerical analysis of thermal processes proceeding in a 2D soft biological tissue subjected to laser irradiation is presented. The transient heat transfer is described by the bioheat transfer equation in Pennes formulation. The internal heat source resulting from the laser-tissue interaction based on the solution of the diffusion equation is taken into account. Thermophysical and optical parameters of the tissue are assumed as directed intervals numbers. At the stage of numerical realization. the interval finite difference method has been applied. In the final part of the paper, the results obtained are shown.

3

Modelling of thermal damage process in soft tissue subjected to laser irradiation

Jasiński M.

Journal of Applied Mathematics and Computational Mechanics

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2018

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Vol. 17, nr 2

29--41

EN

The numerical analysis of thermal damage process proceeding 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 the diffusion equation is taken into account. The tissue is regarded as a homogeneous domain with perfusion coefficient and effective scattering coefficient treated as dependent on tissue injury. At the stage of numerical realization, the boundary element method and the finite difference method have been used. In the final part of the paper the results of computations are shown.

4

Modelling of thermal damage in laser irradiated tissue

Jasiński M.

Journal of Applied Mathematics and Computational Mechanics

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2015

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Vol. 14, nr 4

67--78

EN

In the paper the numerical analysis of thermal processes proceeding in the 2D homogeneous biological tissue subjected to laser irradiation is presented. In particular, the influence of necrotic changes in tissue on the values of the perfusion coefficient and effective scattering coefficient are discussed. The transient heat transfer is described by the bioheat transfer equation in the Pennes formulation. As a model of light distribution in tissue, the first-order scattering approach has been used. At the stage of numerical realization the 1st scheme of the boundary element method has been applied.

5

Modelling of tissue thermal injury formation process with application of direct sensitivity method

Jasiński M.

Journal of Theoretical and Applied Mechanics

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2014

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Vol. 52 nr 4

947--957

EN

In the paper, numerical analysis of thermal processes proceeding in a biological tissue is presented. The tissue is subjected to the external heat impulse and a 2D problem is taken into account. In order to determine the influence of variations of thermophysical parameters of the tissue on the value of tissue injury integral and the area of the lesion, a direct approach of sensitivity analysis is applied. The process of thermal injury formation is also analyzed. At the stage of numerical simulation, the boundary element method is used. In the final part of the paper, an example of numerical simulation is shown.

6

Sensitivity analysis of transient bioheat transfer with perfusion rate dependent on tissue injury

Jasiński M.

Computer Assisted Mechanics and Engineering Sciences

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2009

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Vol. 16, No. 3/4

267-277

EN

The sensitivity analysis of transient temperature field in the tissue domain with respect to its thermophysical parameters is discussed. In particular, the influence of tissue specific heat, thermal conductivity, perfusion rate and metabolic heat source on the temperature distribution is considered. In order to determine the influence of variations of these parameters on temperature distribution the direct approach of sensitivity analysis is applied. Perfusion rate is treated as dependent on tissue injury which is estimated on the basis of Arrhenius integral. On the stage of numerical realization the boundary element method is used. In the final part of paper the results obtained are shown.

7

Modelling of 1D bioheat transfer with perfusion coefficient dependent of tissue necrosis

Jasiński M.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2008

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Vol. 7, nr 1

57-62

EN

The temperature distribution in the tissue subjected to a flash fire is dependent, first of all on its thermophysical parameters. In particular, the blood perfusion coefficient is dependent on the degree of tissue necrosis described by tissue injury integral. In the paper a bioheat model basing on the Pennes equation and the Arrhenius scheme is presented. .