Temat: boundary equation method - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Determination of the temperature field in burned and healthy skin tissue using the boundary element method. Part 2
Autorzy:: Freus, K.
Freus, S.
Powiązania:: https://bibliotekanauki.pl/articles/122947.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Pennes equation
boundary element method
przepływ ciepła
równanie Pennesa
metoda elementów brzegowych
Opis:: In the paper, the position of the boundary between burned and healthy tissue is described by the NURBS curve. The temperature field in the domain is calculated by means of the boundary element method. The influence of discretization on the temperature distribution in the burned and healthy skin tissue is analysed. Different numbers of boundary elements and internal cells are taken into account. In the final part of the paper the examples of computations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 47-54
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Determination of the temperature field in burned and healthy skin tissue using the boundary element method. Part 1
Autorzy:: Freus, K.
Freus, S.
Majchrzak, E.
Powiązania:: https://bibliotekanauki.pl/articles/123011.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Pennes equation
boundary element method
przepływ ciepła
równanie Pennesa
metoda elementów brzegowych
Opis:: In the paper the burned and healthy layers of skin tissue are considered. The temperature distribution in these layers is described by the system of two Pennes equations. The governing equations are supplemented by the boundary conditions. On the external surface the Robin condition is known. On the surface between burned and healthy skin the ideal contact is considered, while on the internal surface limiting the system the body temperature is taken into account. The problem is solved by means of the boundary element method.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 39-46
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Temperature field in burned and healthy tissue : sensitivity analysis with respect to the thermal parameters
Autorzy:: Freus, K.
Freus, S.
Majchrzak, E.
Powiązania:: https://bibliotekanauki.pl/articles/122363.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Pennes equation
boundary element method
burn wounds
przepływ ciepła
równanie Pennesa
metoda elementów brzegowych
rany poparzeniowe
Opis:: A non-homogeneous system being the composition of burn wound and healthy tissue is considered. The heat exchange between sub-domains and environment is described by the system of partial differential equations (the Pennes equations) supplemented by the assumed boundary conditions. Additional problems associated with sensitivity analysis with respect to thermal parameters occurring in the mathematical model are formulated. Both the basic problem and additional ones concerning the sensitivity with respect to selected parameters are solved using the boundary element method. In the final part of the paper the results of computations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 47-58
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Modelling of thermal damage process in soft tissue subjected to laser irradiation
Autorzy:: Jasiński, M.
Powiązania:: https://bibliotekanauki.pl/articles/122854.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
optical diffusion equation
Arrhenius scheme
Boundary element method
finite difference method
przepływ ciepła
metoda różnic skończonych
metoda elementów brzegowych
równanie dyfuzji
uszkodzenie termiczne
Opis:: 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.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 2; 29-41
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Mathematical modeling of the phenomena that occur in a biological tissue containing photosensitizer
Autorzy:: Jasiński, Marek
Zadoń, Maria
Powiązania:: https://bibliotekanauki.pl/articles/2202041.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
optical diffusion equation
photodynamic therapy
boundary element method
finite difference method
przepływ ciepła
równanie dyfuzji optycznej
terapia fotodynamiczna
metoda elementów brzegowych
metoda różnic skończonych
Opis:: The aim of the study is to analyze photothermal and photochemical phenomena that occur during photodynamic therapy (PDT). In this type of therapy, under the influence of the laser, reactions take place related to the transformation of triplet oxygen form into its singlet form which is cytotoxic to the tissue. The increases in temperature resulting from the laser-tissue interaction during PDT are not big; however, they can lead to changes in tissue perfusion, which can affect oxygen delivery to the tissue. The proposed model uses optical diffusion equation, Pennes bioheat transfer equation, and reactions equations for PDT. The main findings of the analysis show the impact of temperature on the value of the perfusion coefficient and triplet oxygen distributions at the end of the treatment procedure.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 4; 40--51
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Modeling of photochemical and photothermal effects in soft tissue subjected to laser irradiation
Autorzy:: Jasiński, Marek
Zadoń, Maria
Powiązania:: https://bibliotekanauki.pl/articles/38706609.pdf
Data publikacji:: 2024
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Tematy:: bioheat transfer
optical diffusion equation
photodynamic therapy
boundary element method
finite difference method
transfer biociepła
równanie dyfuzji optycznej
terapia fotodynamiczna
metoda elementów brzegowych
metoda różnic skończonych
Opis:: The purpose of this study is to analyze the phenomena that occur in biological tissueduring photodynamic therapy (PDT). Under the influence of the laser, triplet oxygen istransformed into singlet oxygen, which is cytotoxic to cancer tissue. The impact of thelaser on the tissue may also be accompanied by changes in the thermophysical parameters,e.g., perfusion, which can affect the supply of oxygen to the tissue and, consequently,the outcome of the therapy. The proposed model uses the optical diffusion equation,the Pennes bioheat transfer equation, and reactions equations for PDT. The connectionbetween bioheat transfer and PDT models is taken into account through the respectiverelationships between perfusion rate, capillary blood velocity, and the maximum oxygensupply rate. Furthermore, a method is proposed to model abnormal vascular patterns inthe tumor subdomain. The boundary element method and the finite difference methodwere used in the numerical implementation stage.
Źródło:: Computer Assisted Methods in Engineering and Science; 2024, 31, 1; 29-50
2299-3649
Pojawia się w:: Computer Assisted Methods in Engineering and Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Numerical analysis of thermal damage and oxygen distribution in laser irradiated tissue
Autorzy:: Jasiński, Marek
Powiązania:: https://bibliotekanauki.pl/articles/2175523.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
optical diffusion equation
Arrhenius scheme
oxygen transport
Krogh cylinder
boundary element method
finite difference method
przepływ biociepła
równanie dyfuzji optycznej
schemat Arrheniusa
transport tlenu
cylinder Krogha
metoda elementów brzegowych
metoda różnic skończonych
Opis:: 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.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 51--62
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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